11452 + 39/1636. Determine q so that 10/7*q + 32/7*q**2 + o*q**3 - h = 0.
-1, 2/9
Let m be (1*7/(-14))/(23/(10925/(-38))). Factor 5/4*c**2 - m + 5*c.
5*(c - 1)*(c + 5)/4
Let k(t) be the first derivative of t**4 + 104*t**3 + 3042*t**2 + 1577. Suppose k(b) = 0. Calculate b.
-39, 0
Let i = -1244 - -1249. Let m(j) be the third derivative of 0 + 3*j**2 + 0*j + 0*j**4 + 0*j**3 + 1/60*j**6 - 1/60*j**i. Factor m(k).
k**2*(2*k - 1)
Let u(a) = 2*a**3 - 140*a**2 - 148*a. Let n(k) = k**3 - 138*k**2 - 143*k. Let j(r) = 3*n(r) - 2*u(r). Determine y so that j(y) = 0.
-133, -1, 0
Suppose 20 = -2*p - 3*h, -6*h = -5*p - 11*h - 40. Let c be (-2)/5 - (p - 306/(-90)). Factor -1/5*r + 1/5*r**3 - 1/5*r**2 + c.
(r - 1)**2*(r + 1)/5
Let n(q) be the second derivative of -2*q + 30/7*q**2 + 6/7*q**3 - 3/140*q**5 + 89 - 9/28*q**4. Factor n(o).
-3*(o - 2)*(o + 1)*(o + 10)/7
Let m = 2389783/136 - 140519/8. Factor -234/17*x**2 - 1458/17 - 8/17*x**4 + 1620/17*x - m*x**3.
-2*(x + 9)**2*(2*x - 3)**2/17
Let a(t) be the third derivative of 0*t + 1/10*t**6 + 0*t**3 + 0*t**4 + 2/21*t**7 + 200*t**2 - 2/15*t**5 + 0. Let a(s) = 0. What is s?
-1, 0, 2/5
Let s = -57043/2 + 28523. Factor -6*c + 0 + 3/4*c**3 - s*c**2.
3*c*(c - 4)*(c + 2)/4
Let j = -201659/28 + 50420/7. Let 3/2*s + 9/4 - j*s**2 = 0. Calculate s.
-1, 3
Factor -4*h - 8*h**2 + 2*h**5 - h**5 - 54*h**3 + 2*h**4 + 19*h**3 + 15*h**3 + 17*h**3.
h*(h - 2)*(h + 1)**2*(h + 2)
Let u(w) be the first derivative of 2*w**3/9 - 191*w**2/3 - 772*w/3 - 1644. Find q, given that u(q) = 0.
-2, 193
Let k be 23822/299160 + (8/(-27))/4. Let j(v) be the second derivative of 0 + 0*v**3 + 0*v**2 - 1/18*v**4 + k*v**6 + 0*v**5 + 42*v. Let j(h) = 0. Calculate h.
-2, 0, 2
Let x = -15539/108 - -1727/12. Let z(n) be the first derivative of 0*n**3 + 0*n + 0*n**2 + x*n**6 + 21 - 2/9*n**5 + 2/9*n**4. Factor z(a).
2*a**3*(a - 4)*(a - 1)/9
Let c = -3529 + 10687/3. Let q(b) = 22*b**2 + 305*b + 696. Let j be q(-11). Factor -c*u**4 + 25/6*u - 5/6 - 125/6*u**j - 40/3*u**5 + 25/6*u**2.
-5*(u + 1)**3*(4*u - 1)**2/6
Suppose -2*n + 10 + 0 = 0. Factor -52*a**n - 51*a**5 + 3*a**3 - 9 + 36*a + 9*a**4 - 3 + 100*a**5 - 33*a**2.
-3*(a - 2)*(a - 1)**3*(a + 2)
Let c = 23361 + -23361. What is d in 20/7*d**2 - 4/7*d**4 + 4/7*d**3 + 12/7*d + c = 0?
-1, 0, 3
Let b be 13869/46*((-7)/(-3) - 2). Let z = 607/6 - b. Let 2/3*q + z*q**4 - 4/3*q**2 + 2/3*q**5 - 4/3*q**3 + 2/3 = 0. Calculate q.
-1, 1
Let l(d) = -3*d**2 - 3*d - 5. Let m be l(-2). Let z be ((-1)/((-2)/4))/(-1 - m). Factor -z*b**2 - 64/5 + 16/5*b.
-(b - 8)**2/5
Factor 1147 - 706*b + 228*b**2 + 2*b**2 - 937 - 6*b**3.
-2*(b - 35)*(b - 3)*(3*b - 1)
Let c(h) = 8*h**3 + 3*h**2 - 10*h + 8. Let d be c(3). Factor -222*l**2 + 0*l**3 - d*l**2 + 418*l**2 - 30*l - 5*l**3.
-5*l*(l + 2)*(l + 3)
Suppose -2*o = 53 - 67. Let k = -12 - -14. Find h, given that 3*h**2 + o*h**4 - 2*h**3 - 5*h**5 - 9*h**2 + 6*h**k = 0.
0, 2/5, 1
Suppose -2089*v + 2088*v + 3*d - 14 = 0, -5*v - d = -26. Factor 0 + 1/4*x**v + 0*x**2 + 0*x - 1/4*x**3.
x**3*(x - 1)/4
Suppose 69 = 4*p + 49. Suppose -2*d = 2*c + c - 26, 8 = -2*c + p*d. Determine o, given that -o**3 - 40*o + 51*o**4 - 87*o**3 - 210*o**2 - c*o**4 - 37*o**3 = 0.
-1, -2/9, 0, 4
Let l(v) be the first derivative of -15 + 0*v + 0*v**3 - 1/14*v**4 + 1/7*v**2. Factor l(z).
-2*z*(z - 1)*(z + 1)/7
Let h(t) be the third derivative of -t**7/315 - t**6/90 + t**5/90 + t**4/18 - 1124*t**2. Factor h(s).
-2*s*(s - 1)*(s + 1)*(s + 2)/3
Suppose -36 = -n - 3*l, 2*n + l = -n + 76. Let x be 7 + 0 + (0 - 4). Find z such that -15*z**4 - 12*z**5 + n*z**3 + 3*z**2 + 2*z**2 + z**2 - x*z**3 = 0.
-2, -1/4, 0, 1
Let h be 2/(-7) + (-24)/(-56). Let z = 3776 - 3772. Factor -2/7*v**3 - h + 1/7*v + 1/7*v**5 - 1/7*v**z + 2/7*v**2.
(v - 1)**3*(v + 1)**2/7
Suppose -d + 26 = -2*h, -7*d + 2*d = -5*h - 125. Let y be 168/224*1*d/9. Factor 0*m + 0*m**y + 0 - 4/11*m**3 - 18/11*m**4.
-2*m**3*(9*m + 2)/11
Let l(w) = 22*w**3 + 458*w**2 - 350*w - 136. Let p(r) = 3*r**3 - r**2 + r. Let c(h) = -l(h) - 2*p(h). Find i, given that c(i) = 0.
-17, -2/7, 1
Let x be (14 - 44)*92/(-690). Solve -14*k**x - 64/5 + 356/5*k**3 + 368/5*k - 120*k**2 = 0 for k.
2/7, 4/5, 2
Let m = 6394 + -863189/135. Let s(r) be the second derivative of 0*r**2 + m*r**6 + r - 1/189*r**7 + 1/90*r**5 - 1/54*r**4 + 0*r**3 + 0. Factor s(c).
-2*c**2*(c - 1)**2*(c + 1)/9
Let d(o) = 5*o**2 + 3*o - 7. Let y be d(-6). Let s = 105 + 71. Factor -96*j - y*j**2 + s*j + 10 + 55*j**3 + 10.
5*(j - 2)*(j - 1)*(11*j + 2)
Let l(c) = 13*c**3 + 7*c**2 - 12*c**3 + 4 - 5*c**2 - 5*c + 0. Let t be l(1). Factor 10*r**t - 6*r**2 - 39*r**2 - 15*r - 20*r**3.
-5*r*(r + 1)*(4*r + 3)
Let k(w) = -w**2 - 12*w - 26. Let u(x) = -3*x**2 - 24*x - 50. Let d(y) = -y**2 + 25*y - 106. Let c be d(5). Let h(p) = c*u(p) + 14*k(p). Factor h(n).
4*(n - 8)*(n + 2)
Suppose 4*y**4 + 4632*y**3 - 3*y**4 + 4*y - 4635*y**3 - 2*y**4 = 0. What is y?
-2, 0, 1
Let b(z) be the first derivative of -z**4/2 + 32*z**3/3 - 25*z**2 - 84*z - 2674. Factor b(i).
-2*(i - 14)*(i - 3)*(i + 1)
Suppose -5 = p, -h + 16 + 11 = 4*p. Suppose -h + 11 = -3*s. Factor s*k**2 - k - 27*k - 8*k**2.
4*k*(k - 7)
Let f(x) be the third derivative of -x**5/12 + 745*x**4/24 - 365*x**3 - 17*x**2 + 17. Factor f(s).
-5*(s - 146)*(s - 3)
Let b(r) be the first derivative of r + 3*r**2 - 1 - 1/2*r**4 + 3/20*r**5 - 1/2*r**3. Let y(l) be the first derivative of b(l). Solve y(m) = 0.
-1, 1, 2
Let k be (19/4)/(1 - 24/32). Suppose 0 = 2*m + 13 - k. Suppose 45*i**2 - 3*i**m - 2*i**3 - 40*i - 5*i**4 + 20 - 15*i = 0. What is i?
-4, 1
Let v(y) be the second derivative of -y**4/36 + 406*y**3/9 - 811*y**2/6 - 560*y - 5. Suppose v(o) = 0. Calculate o.
1, 811
Let f(l) = 50*l - 344. Let j be f(7). Let k be (j/14 - (-240)/(-168))*-3. Factor -k*y**3 + 0 + 2/3*y**2 + 0*y.
-y**2*(9*y - 2)/3
Let l(m) be the first derivative of 3*m**5/10 - 69*m**4/4 + 313*m**3/2 + 3726*m**2 + 17496*m - 2425. What is z in l(z) = 0?
-4, 27
Let p(f) = -18*f**3 + 7*f**2 + 7*f - 7. Let t(h) = 4*h**2 + 75*h - 71*h - 9 + 5 - 10*h**3. Let b(n) = 6*p(n) - 11*t(n). Factor b(l).
2*(l - 1)**2*(l + 1)
Suppose 24 - 5577/4*j**3 + 150*j**4 + 264*j + 1875/4*j**5 + 975/2*j**2 = 0. What is j?
-2, -4/25, 1
Let x(p) be the first derivative of -57*p**4 - 384*p**2 - 200*p**3 - 42/5*p**5 - 1/2*p**6 - 384*p + 14. Factor x(f).
-3*(f + 2)**3*(f + 4)**2
Let m be 14608/14960 + 6/(-34). Suppose -m*j**3 + 6/5*j**2 - 2/5*j + 0 = 0. Calculate j.
0, 1/2, 1
Suppose d + 12 - 20 = 3*l, 3*l + 23 = 4*d. Let s(g) be the third derivative of 0 - 1/4*g**4 + 0*g + 0*g**3 - 1/40*g**6 + 3/20*g**d + 19*g**2. Factor s(n).
-3*n*(n - 2)*(n - 1)
Let g = -4613 + 4613. Let v(r) be the third derivative of 0*r**4 + 0 + 20*r**2 + 1/45*r**5 + g*r - 2/9*r**3. What is p in v(p) = 0?
-1, 1
Let i = 3642541/535670 - -3/107134. Suppose -14/5*d**2 - 18/5 + i*d - 2/5*d**3 = 0. Calculate d.
-9, 1
Factor 1/3*d**2 - 80/3*d + 372.
(d - 62)*(d - 18)/3
Let n = 664781/2 - 332386. Solve -2*c**3 - 3/2*c**2 + n*c - 1 = 0.
-2, 1/4, 1
Suppose -2*s - 8 = -26*t + 25*t, s - 2 = 0. Suppose -t - 3*q + 0*q - 27*q**3 + 2*q**2 + 21*q**2 + 38*q**2 - 19*q**2 = 0. What is q?
-4/9, 1
Let s(l) be the third derivative of l**5/180 - 7*l**4/18 - 10*l**3/3 + 2*l**2 + 51*l. Factor s(t).
(t - 30)*(t + 2)/3
Let b(f) be the first derivative of f**6/42 - 2*f**5/35 - 51*f**4/28 + 8*f**3/21 + 10*f**2 - 96*f/7 + 1944. What is c in b(c) = 0?
-6, -2, 1, 8
Determine h so that -108/7 - 2/7*h**3 - 150/7*h - 44/7*h**2 = 0.
-18, -3, -1
Let s = 953/107 - 4337/535. Factor 4/5*j - s*j**2 + 8/5.
-4*(j - 2)*(j + 1)/5
Suppose -5*c = 3*k - 930 + 889, 3 = -2*k + c. Solve 39/5*j**3 - 24/5 + 36*j - 162/5*j**k = 0.
2/13, 2
Let c be 517/99 - (0 + 0 - (-60)/12). Let a(d) be the third derivative of 19*d**2 + 0*d - c*d**3 + 0 + 1/180*d**5 + 0*d**4. Determine u, given that a(u) = 0.
-2, 2
Let p = 295373 + -295371. Determine v, given that 0*v + v**4 - 1/3*v**5 + 4/3 - 7/3*v**p + 1/3*v**3 = 0.
-1, 1, 2
Factor -5/2*w**2 - 210*w - 4410.
-5*(w + 42)**2/2
Let q(k) be the third derivative of 16/45*k**3 - 1/30*k**4 + 0*k - 1/450*k**5 - 1 - 68*k**2. Factor q(h).
-2*(h - 2)*(h + 8)/15
Let w(u) be the first derivative of u**5/390 + u**4/78 - u**3/13 + 3*u**2/2 + 3*u + 69. Let s(m) be the second derivative of w(m). Let s(d) = 0. What is d?
-3, 1
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