
-2*(h - 126)*(h - 2)*(h + 1)/9
Let k(j) be the third derivative of -j**7/315 - 43*j**6/90 - 1573*j**5/90 + 989*j**4/3 - 2116*j**3 + 16*j**2 + 52. Solve k(t) = 0.
-46, 3
Suppose 3*h = 4*f - 5 - 1, 3*f + 1 = 5*h. Suppose 61 - 33 = 14*a. Let v**4 + 2*v**5 - 38*v**a + 37*v**2 - v**f - v**3 = 0. What is v?
-1, -1/2, 0, 1
Let -12 + 6591*k - 3305*k - 3307*k + 33*k**2 = 0. What is k?
-4/11, 1
Let a(n) = 132*n**3 - 37068*n**2 + 51*n - 102. Let m(h) = -13*h**3 + 3707*h**2 - 5*h + 10. Let b(f) = 5*a(f) + 51*m(f). Suppose b(r) = 0. Calculate r.
0, 1239
Let o be (-33 - -92)/(741/357 - 2). Let j = 781 - o. Determine u so that 4/9*u**5 - j*u**2 - 8/9*u**3 + 4/9*u**4 + 4/9 + 4/9*u = 0.
-1, 1
Let m = -269 + 272. What is w in -3*w**4 - 48*w - 24*w**2 + 17*w**3 - 2*w**3 + 17*w**3 - 11*w**m = 0?
-1, 0, 4
Let u(m) be the third derivative of 0*m + 0*m**5 + 1/1008*m**8 + 5*m**2 - 11 + 0*m**4 + 0*m**6 - 2/315*m**7 + 0*m**3. Suppose u(p) = 0. Calculate p.
0, 4
Determine c, given that 146/3*c + 86/3*c**3 - 10 - 202/3*c**2 = 0.
15/43, 1
Let i = -50258 + 50260. Determine j, given that 3/10*j - 1 + 1/10*j**i = 0.
-5, 2
Let w(p) = -4*p**2 + 6*p - 4. Let r be w(5). Let y = r + 86. Factor 3*l**4 - 21*l**3 + 0*l + y*l - 12*l**4.
-3*l*(l + 1)*(l + 2)*(3*l - 2)
Factor 873*r - 281*r + 80*r**2 - 55*r**3 - 5*r**4 + 1008*r.
-5*r*(r - 5)*(r + 8)**2
Let f(p) be the third derivative of -37/240*p**5 + 0*p - 71/96*p**4 + 0 - 1/480*p**6 - 123*p**2 - 35/24*p**3. Factor f(x).
-(x + 1)**2*(x + 35)/4
Let z = 1475 + -1460. Let d be (3 + (-21)/9)*z/65. What is y in d*y**2 + 0 - 10/13*y = 0?
0, 5
Let 219/4*g - 1/4*g**3 - 351/2 + 2*g**2 = 0. What is g?
-13, 3, 18
Determine l so that 0 + 13/6*l**5 + 37/2*l**4 + 245/6*l**3 - 15*l + 19/2*l**2 = 0.
-5, -3, -1, 0, 6/13
Let g(i) = 3*i**2 + 2*i. Let w(q) = -19*q**2 + 6*q - 238. Let y(r) = 14*g(r) + 2*w(r). Factor y(v).
4*(v - 7)*(v + 17)
Let n be 1/2 + 5 + 2585/(-616). Let k = n + 11/56. Factor k*z**4 + 15/2*z**2 - 6*z**3 - 3*z + 0.
3*z*(z - 2)*(z - 1)**2/2
Let j be ((-66045)/(-34595))/(28/22). Find m, given that 7 + 1/2*m**4 - 7/2*m**3 - j*m**2 + 19/2*m = 0.
-1, 2, 7
Suppose -188*y + 114 = -179 - 83. Let v be 22/(-5) - (-13 + 5). Let 2/5 + 14/5*s + v*s**3 + 6*s**y = 0. What is s?
-1, -1/3
Let 2*d**3 + 32/7*d**2 - 12/7 - 34/7*d = 0. Calculate d.
-3, -2/7, 1
Let f(a) = -30*a - 35. Let t(k) be the third derivative of 0 + 1/6*k**3 + 28*k**2 - 1/60*k**5 + 0*k + 1/24*k**4. Let l(q) = -f(q) + 5*t(q). Factor l(n).
-5*(n - 8)*(n + 1)
Let k(c) be the second derivative of -90*c + 0 + 1/6*c**4 + 900*c**2 - 20*c**3. Solve k(n) = 0.
30
Let u be 4/(-10) + 308/70 - 56/42. Suppose x = 4*x + 2*n - 11, 3*n - 3 = 0. Factor u + 2/3*g**x - 2*g**2 + 0*g.
2*(g - 2)**2*(g + 1)/3
Let w(o) be the second derivative of o**4/36 + 3*o**3 + 245*o**2/6 - 4143*o. Let w(f) = 0. What is f?
-49, -5
Let u(m) be the first derivative of 64/75*m**3 + 1/50*m**4 + 57/5*m**2 + 36*m - 183. Find d, given that u(d) = 0.
-15, -2
Let c = -1858 + 1856. Let v be ((-10)/c)/(25/15). What is b in 3/7*b + 3/7 - 3/7*b**v - 3/7*b**2 = 0?
-1, 1
Let l(z) be the first derivative of -z**4/7 - 32*z**3/3 + 354*z**2/7 - 4336. Factor l(f).
-4*f*(f - 3)*(f + 59)/7
Let g(b) be the third derivative of -b**6/60 + b**5/135 + 25*b**4/108 + 14*b**3/27 - 1901*b**2. Factor g(i).
-2*(i - 2)*(i + 1)*(9*i + 7)/9
Let c be ((-2)/10)/((-64)/(-16) - (-205)/(-50)). Factor 12/7*m + 10/7*m**c + 2/7*m**3 + 0.
2*m*(m + 2)*(m + 3)/7
Solve 3979/4*m + 53/4*m**3 - 1587/2 - 857/4*m**2 - 1/4*m**4 = 0.
1, 6, 23
Solve -285/2*m**4 - 102885 + 9/4*m**5 + 3264*m**3 + 455943/4*m - 63441/2*m**2 = 0 for m.
4/3, 5, 19
Let q(o) be the second derivative of -o - 1/189*o**7 - 53 + 0*o**2 - 2/45*o**6 + 1/9*o**4 + 5/27*o**3 - 2/45*o**5. Solve q(p) = 0 for p.
-5, -1, 0, 1
Let l = -11105204/7 + 1586462. Solve l*j + 18/7 + 2*j**2 + 2/7*j**3 = 0 for j.
-3, -1
Let z(u) = 283*u + 12452. Let o be z(-44). Find m, given that -4/3*m**2 + o + 8*m = 0.
0, 6
Suppose 0 = -52*w + 102*w - 62*w. Let d be 4/16 + (-2)/8. Factor 0*s**3 + w*s + 0*s**2 + d - 4/15*s**4 - 2/15*s**5.
-2*s**4*(s + 2)/15
Let y(s) = 34*s**2 + 38*s - 8. Let c(r) = -70*r**2 - 76*r + 15. Let b(l) = 4*l + 3. Let q be b(1). Let i(u) = q*y(u) + 4*c(u). Factor i(o).
-2*(o + 1)*(21*o - 2)
Suppose 6*p - 20 - 16 = 0. What is d in 6*d**3 - p*d**2 - 3*d**2 - 4*d**5 - 8*d**4 + 17*d**2 + 10*d**3 - 12*d = 0?
-3, -1, 0, 1
Let v(d) be the first derivative of d**8/840 + d**7/42 + 13*d**6/180 - d**5 + 3*d**4 - 25*d**3/3 + 25. Let h(i) be the third derivative of v(i). Factor h(t).
2*(t - 1)**2*(t + 6)**2
Let k = 366/77 + -1021/231. Determine p, given that 1/6*p**4 - 1/2 - 2/3*p + k*p**2 + 2/3*p**3 = 0.
-3, -1, 1
Suppose -4*d - 7 = -l - 2, -2 = -d. Factor -88535*r - 14*r**3 + r**5 - l*r**4 + 88535*r.
r**3*(r - 14)*(r + 1)
Let h = -34 + 42. Suppose 54 = h*n - 138. Find y, given that -4*y**2 - 25*y - n*y + 33*y = 0.
-4, 0
Let u(w) be the first derivative of 11/9*w**3 + 1/6*w**4 + 5/3*w**2 - 8/3*w - 93. Factor u(d).
(d + 2)*(d + 4)*(2*d - 1)/3
Suppose -4*n + 18 = 2*c, 2*n + 15 = 3*n + 4*c. Factor 1350*a**2 + 1345*a**2 + 6*a + 12*a**n - 2722*a**2.
3*a*(a - 2)*(4*a - 1)
Let n be (69/(-9))/((-18)/(-108)). Let l be 8/n*(-48)/32. Find a, given that -6/23*a**2 + 0 + 10/23*a**3 - 8/23*a**5 + l*a**4 - 2/23*a = 0.
-1, -1/4, 0, 1
Let u(t) = -t**3 - 2*t**2 + 10*t + 19. Let y = 217 - 214. Let x(q) = -q - 1. Let j(h) = y*u(h) + 3*x(h). Find a such that j(a) = 0.
-3, -2, 3
Let p be 1/4*4 + 2. Let f be ((-40)/15 + 2)/(5/(-150)). Factor -47*r**3 - 102*r**2 - f*r**4 - 5 - 10*r - 18*r**p - 25*r + 27*r**2.
-5*(r + 1)**3*(4*r + 1)
Let c(f) be the second derivative of 1 + 0*f**2 + 1/84*f**4 + 17*f - 11/42*f**3. Factor c(d).
d*(d - 11)/7
Let p(b) = b**3 - 2*b**2 - 10*b + 17. Let z be p(7). Let i = z + -102. Factor 445*v - 1080 - i*v**2 + 0*v**3 + 95*v + 5*v**3.
5*(v - 6)**3
Let y(h) = 799*h + 810. Let c be y(-1). What is u in 53/2*u + c - 3/2*u**3 + 14*u**2 = 0?
-1, -2/3, 11
Let b(o) be the third derivative of -o**6/80 - 4*o**5/5 - 57*o**4/16 + 45*o**3/2 + 5*o**2 - 9. Factor b(z).
-3*(z - 1)*(z + 3)*(z + 30)/2
Let b(m) be the first derivative of -m**4/4 + 94*m**3/3 - 275*m**2/2 + 182*m - 1937. Determine n, given that b(n) = 0.
1, 2, 91
Let v be (2/10)/((-828)/(-1035)). Let i(a) be the first derivative of 0*a - v*a**2 + 6 - 1/2*a**4 + 3/20*a**5 + 7/12*a**3. Let i(b) = 0. Calculate b.
0, 2/3, 1
Find u, given that 32/9 - 4/9*u**3 - 8/9*u**2 + 16/9*u = 0.
-2, 2
Let t(f) = -f**3 - 9*f**2 + 7*f - 24. Let d be t(-7). Let w = -167 - d. Let 4 - 86/3*o**3 - 26/3*o - 106/3*o**2 - 6*o**w = 0. What is o?
-3, -1, 2/9
Let u(a) be the first derivative of 2/5*a**3 - 30*a - 4 + 0*a**2 - 1/20*a**4. Let n(w) be the first derivative of u(w). Determine m, given that n(m) = 0.
0, 4
Let w(d) be the second derivative of d**4/42 + 129*d**3/7 + 110*d**2 + 1362*d. Factor w(t).
2*(t + 2)*(t + 385)/7
Let d be (860/1032)/(6/(-72) + 2/8). Let y(t) be the first derivative of -4/5*t - 23 + 3/5*t**2 - 3/10*t**4 + 2/25*t**d + 2/15*t**3. Factor y(n).
2*(n - 2)*(n - 1)**2*(n + 1)/5
Let b be ((-4)/(-18))/((-774)/(-516)). Let q(j) be the second derivative of 9/10*j**5 + 2/3*j**4 + 0*j**2 + 0 + b*j**3 + 23*j. Factor q(v).
2*v*(9*v + 2)**2/9
Let d(z) = -10*z - 112. Let w be d(-13). Determine f so that 45*f**2 - w*f**3 + 34*f**3 + 40*f - 11*f**3 = 0.
-8, -1, 0
Solve 3/2 + 2*r**3 - r - 3*r**2 - r**5 + 3/2*r**4 = 0 for r.
-1, 1, 3/2
Let p(c) be the first derivative of c**6/33 - 50*c**5/11 + 3967*c**4/22 - 7438*c**3/33 - 3968*c**2/11 + 7688*c/11 + 3715. What is t in p(t) = 0?
-1, 1, 62
Let d(l) be the second derivative of -2 + 3/80*l**5 + l**3 + 32*l + 9/16*l**4 + 0*l**2. Factor d(s).
3*s*(s + 1)*(s + 8)/4
Let f(s) be the second derivative of 2/7*s**2 - 21*s + 0 + 1/35*s**5 + 1/7*s**4 + 2/7*s**3. Factor f(v).
4*(v + 1)**3/7
Suppose -4*n = -2*i - 32, -3*n + 22 = 2*n + 2*i. Suppose 3*p - n = p. Factor 6*z - 2*z**4 + 8*z**2 - 2*z**4 + 2*z - 6*z**p + z**5 + z**5.
2*z*(z - 2)**2*(z + 1)**2
Let q(n) be the first derivative of -n**3 - 141*n**2 + 576*n + 4889. Solve q(o) = 0 for o.
-96, 2
Factor 112/3*f - 58/15*f**2 - 120 + 2/15*f**3.
2*(f - 10)**2*(f - 9)/15
Let c(n) be the second derivative of -n**7/189 + 58*n**6/135 + 2*n**5 + 91*n**4/27 + 61*n**3/27 + 3931*n. Factor c(b).
-2*b*(b - 61)*(b 