5*b(i) - 6*v(i). Factor s(m).
5*(m + 109)**3
Let l(a) be the first derivative of -25*a**6/8 - 81*a**5/2 + 2163*a**4/16 + 25*a**3/2 - 279*a**2/2 - 78*a + 257. Solve l(i) = 0.
-13, -2/5, 1, 2
Suppose -1 - 19 = -2*b. Determine c so that b*c - 21*c - 28*c**3 - 24 - 41*c + 104*c**2 = 0.
-2/7, 1, 3
Suppose 16*i = -95 + 127. Let v(t) be the first derivative of -5/16*t**4 - 6 - 1/8*t**i + 2/3*t**3 - 1/2*t. Solve v(s) = 0 for s.
-2/5, 1
Let k(f) be the third derivative of f**8/1680 + 2*f**7/175 + 19*f**6/300 + 13*f**5/75 + 11*f**4/40 + 4*f**3/15 - f**2 + 31*f. Factor k(n).
(n + 1)**4*(n + 8)/5
Let a(t) be the third derivative of t**7/1680 - t**6/48 + 5*t**5/16 + t**4/3 - 12*t**2. Let p(q) be the second derivative of a(q). Factor p(v).
3*(v - 5)**2/2
Let t = -555/14 - -81/2. Let x be ((-62)/14 - (-23 + 18))/1. What is w in t*w**2 - x*w**3 + 0*w - 2/7 = 0?
-1/2, 1
Let d(g) = g**3 - 6*g**2 + 5. Let n be d(6). Factor -5*s**3 - s**3 + n*s**3.
-s**3
Factor -2/5*v**3 + 0 + 4*v**2 + 0*v.
-2*v**2*(v - 10)/5
Let m(h) be the third derivative of -h**6/40 - 6*h**5/5 - 11*h**4/2 - 7*h**2 + 3*h. Let m(l) = 0. Calculate l.
-22, -2, 0
Let y(k) be the second derivative of 37*k + 1/4*k**3 - 3/80*k**5 + 0*k**2 + 0 + 1/16*k**4. Factor y(l).
-3*l*(l - 2)*(l + 1)/4
Let h = -1463/4 - -1088/3. Let v = -11/4 - h. Factor 2/3 - c - 1/3*c**4 + c**3 - v*c**2.
-(c - 2)*(c - 1)**2*(c + 1)/3
Let t(j) be the first derivative of -3*j**5/5 + 3*j**4/2 + 27*j**3 + 78*j**2 + 84*j - 79. Factor t(x).
-3*(x - 7)*(x + 1)*(x + 2)**2
Let p(a) = -16*a**2 - 10*a - 16. Let k(h) = 3*h**2 + 2*h + 3. Suppose -7 = 6*y - 85. Suppose 0 = 8*b - y*b - 55. Let j(c) = b*k(c) - 2*p(c). Factor j(r).
-(r + 1)**2
Let a(o) be the second derivative of 2*o**6/15 - 4*o**4/3 - 48*o + 2. Determine p so that a(p) = 0.
-2, 0, 2
Suppose 0 = 5*q + 28 - 8. Let s(p) = -2*p**2 + 10*p - 16. Let v(j) = 4*j**2 - 20*j + 33. Let r(k) = q*v(k) - 9*s(k). Factor r(w).
2*(w - 3)*(w - 2)
Determine z so that 8*z**5 - 14*z**3 + 14*z**2 + 4*z - 14*z**4 + 9*z**5 - 8*z**3 + z**5 = 0.
-1, -2/9, 0, 1
Let u = 673 - 2018/3. Let c(q) be the first derivative of -2*q + 1/2*q**2 + 7 + u*q**3. What is g in c(g) = 0?
-2, 1
Let l be ((-210)/56)/(1/(-64)*-2). Let g be (-9)/15 - 522/l. Factor -3/4*h - g*h**4 + 3/2 - 27/4*h**2 + 39/4*h**3.
-3*(h - 1)**3*(5*h + 2)/4
Suppose -5*k = 5*v + 70, -4*v - 36 - 38 = -2*k. Let z = 31 + v. Let z*l**3 - 8*l**2 + 26*l**4 + 6*l**3 + 2*l**4 = 0. What is l?
-1, 0, 2/7
Let v(c) be the second derivative of -c**4/6 - 10*c**3/3 - 16*c**2 - 31*c - 3. Factor v(o).
-2*(o + 2)*(o + 8)
Let f(c) be the second derivative of 5*c**4/2 - 59*c**3/3 - 4*c**2 - 652*c. Find t such that f(t) = 0.
-1/15, 4
Let i(s) = 4*s**5 + 4*s**4 - 12*s**2 - 12. Let u(q) = q**4 - q**2 - 1. Let w be -6*(2 + 0 - 0). Let l(f) = w*u(f) + i(f). Let l(j) = 0. Calculate j.
0, 2
Let u be (9 + 4)*2/2. Let h(n) = 4*n**3 - 21*n**2 - 9*n. Let q(a) = -2*a**3 + 10*a**2 + 4*a. Let b(d) = u*q(d) + 6*h(d). Factor b(k).
-2*k*(k - 1)**2
Factor 2*n**2 + 464*n - 3*n**2 + 12544 - 2*n**2 + 7*n**2 - 16*n.
4*(n + 56)**2
Let -55*z + 35*z + 18*z**2 + z**4 - 5*z**3 - 2*z**3 + 8 = 0. Calculate z.
1, 2
Let n(s) be the second derivative of 0*s**2 + 0 + 2/25*s**6 + 1/5*s**5 - 1/5*s**4 - 2/105*s**7 + 18*s - 8/15*s**3. Find t, given that n(t) = 0.
-1, 0, 1, 4
Let m = -6383/8 - -799. Determine d so that -m*d**2 - 3/8*d**3 + 0*d + 3/2 = 0.
-2, 1
Suppose 2*j + 2*j = 8. Factor -7*p**j + 34*p**2 + 5*p - p**4 - 18*p**2 + 3*p**3.
-p*(p - 5)*(p + 1)**2
Suppose -118 + 30*o**4 - 60*o**2 + 12*o**5 + 190*o**3 - 5*o + 79 + 69 - 107*o**5 - 90*o = 0. Calculate o.
-1, 6/19, 1
Let v = -4/111 + 191/2220. Let u(p) be the second derivative of -1/12*p**4 - v*p**5 + 0*p**3 + 0*p**2 + 5*p + 0. Solve u(f) = 0.
-1, 0
Let b be 2/20 - 1608/(-720). Factor -1/3*k**4 + b*k**3 + 0 + 3*k - 5*k**2.
-k*(k - 3)**2*(k - 1)/3
Let t be (-6)/(18/(-12) - 0). Let i be (t/3)/(-8 + 12). Suppose f**3 - f - 2/3 + 1/3*f**4 + i*f**2 = 0. Calculate f.
-2, -1, 1
Let f(l) be the first derivative of 2*l**5/5 - 21*l**4/2 + 36*l**3 + 4*l**2 - 144*l - 74. Determine b, given that f(b) = 0.
-1, 2, 18
Let l(t) be the third derivative of 5/48*t**8 + 3*t**2 + 0*t - 3/4*t**5 - 5/24*t**6 - 5/12*t**4 + 0*t**3 + 3/14*t**7 + 0. Solve l(p) = 0.
-1, -2/7, 0, 1
Let u(g) = -24*g - 2206. Let v be u(-92). Suppose 1/3 + k**v + 4/3*k = 0. Calculate k.
-1, -1/3
Let v be 25/(-125) - 3/(840/(-91)). Factor v*s**2 - 1/4 - 1/8*s.
(s - 2)*(s + 1)/8
Factor f - 5*f - 18*f**3 + 23*f**3 - f**2.
f*(f - 1)*(5*f + 4)
Let g(i) be the second derivative of i**5/20 - i**4/2 - 5*i**3/6 - 7*i**2/2 + 7*i. Let f be g(7). Find n, given that -f + 8*n + 0 + 5 + 0 - 6*n**2 = 0.
1/3, 1
Factor -88/7 - 12*q**2 - 174/7*q + 2/7*q**3.
2*(q - 44)*(q + 1)**2/7
Factor -1947*b**2 - 32*b**3 + 1840*b - 2352*b**2 + 277*b**3 - 260 + 974*b**2.
5*(b - 13)*(7*b - 2)**2
Suppose -14521 = 18*u - 15097. Factor 1/2*w**3 - u - 6*w**2 + 24*w.
(w - 4)**3/2
Let q(g) = g**2 + g + 1. Let w(r) be the third derivative of r**5/60 - r**4/24 + r**3 - 5*r**2. Let z(o) = -4*q(o) + 2*w(o). Find h, given that z(h) = 0.
-4, 1
Let n = -4836 + 4838. Factor 14/19*a**n - 8/19 - 24/19*a.
2*(a - 2)*(7*a + 2)/19
Let x be (-14)/(-91) + (-12)/(-728)*21. Factor -1/4*y**4 + x*y + 0 + 3/4*y**2 + 0*y**3.
-y*(y - 2)*(y + 1)**2/4
Suppose m - 25 + 0 = 0. Suppose 0 = -5*g - 0*g + m. Factor 5*c**4 + 0*c**g + 4*c**5 - c**5 + 4*c**4 + 3*c**2 + 9*c**3.
3*c**2*(c + 1)**3
Let q(p) be the third derivative of -1/4*p**5 + 10*p**3 + 0 + 0*p + 12*p**2 - 10/3*p**4. Find r such that q(r) = 0.
-6, 2/3
Let q(u) be the second derivative of -8*u + 0*u**2 + 1/3*u**4 + 1/3*u**3 - 1/21*u**7 + 0 - 2/15*u**6 + 0*u**5. Factor q(o).
-2*o*(o - 1)*(o + 1)**3
Suppose 6 - 1 = 5*y - 5*o, -8 = 4*o. Let x be (-6)/12*(-3)/(-6)*y. Solve 0 - 3/2*u**3 + u**2 - x*u**5 - 1/4*u + u**4 = 0.
0, 1
Factor 3/5*m**5 - 21/5*m**3 + 0 - 6/5*m**4 + 0*m - 12/5*m**2.
3*m**2*(m - 4)*(m + 1)**2/5
Let q be 22/(-18)*231/(-847). What is a in -1/3 + 2/3*a**2 - 2/3*a**3 - 1/3*a**4 + q*a + 1/3*a**5 = 0?
-1, 1
Solve 1/2*o**2 + 0 + 9/2*o = 0.
-9, 0
Suppose 16*j + 187 = 27*j. Suppose j*f - 11*f = 0. Let 0*x + 0*x**2 + 2/9*x**4 + f - 2/9*x**3 = 0. Calculate x.
0, 1
Suppose 0 = -4*u - r + 4, 26 = 3*u - 10*r + 5*r. Let l(a) be the third derivative of 1/210*a**5 + 6*a**u + 0*a + 0*a**4 + 0*a**3 + 0. Factor l(i).
2*i**2/7
Let o be 2 + (1 - 1)*(-5 - -4). Factor -15 + 10 + 15*z - 13*z**o + 8*z**2 - 10*z**2 + 5*z**3.
5*(z - 1)**3
Let c(i) be the first derivative of i**3/6 + 17*i**2/2 + 289*i/2 - 44. Factor c(w).
(w + 17)**2/2
Suppose 3*k = 6 + 12. Let l = k + -4. Determine j so that l*j**2 - 5 - 2*j**3 + 0*j**3 + 2*j + 2 + 1 = 0.
-1, 1
Let z(k) = -6*k**4 + 2*k**3 + 54*k**2 - 110*k - 4. Let n(x) = 2*x**4 - x**3 + x + 2. Let p(a) = -2*n(a) - z(a). What is m in p(m) = 0?
-6, 0, 3
Factor 7/4 + 57/4*b**2 - 9/4*b**3 + 41/4*b.
-(b - 7)*(3*b + 1)**2/4
Let k be 4*1 + 3*(-156)/126. Solve -2/7*v**3 + 0 + 4/7*v - k*v**2 = 0.
-2, 0, 1
Let q(z) = -3*z - 18. Let o be q(-6). Let b be 4 - ((-3)/(-45))/((-4)/(-230)). Factor -1/6 + b*s**2 + o*s.
(s - 1)*(s + 1)/6
Let d(v) be the second derivative of -v**4/24 - 229*v**3/6 - 52441*v**2/4 - 637*v. Suppose d(s) = 0. Calculate s.
-229
Suppose -2*b + 41 = 5*k, -5*b = 14 - 4. Let p be k/(-2)*24/(-36). What is a in 0 + 8/3*a**2 + 2/3*a + 2*a**p = 0?
-1, -1/3, 0
Suppose -4*u - 4 = 4. Let j(c) = 5*c**3 - 18*c**2 + 23*c - 12. Let a(o) = 10*o**3 - 35*o**2 + 45*o - 25. Let b(f) = u*a(f) + 5*j(f). Factor b(t).
5*(t - 2)*(t - 1)**2
Factor -24/11 + 2/11*g**2 - 2/11*g.
2*(g - 4)*(g + 3)/11
Let v(q) be the first derivative of 3*q**4/4 + 6*q**3 - 96*q - 107. Suppose v(i) = 0. Calculate i.
-4, 2
Let n(d) = -5*d - 9. Let k(r) = 5*r + 10. Let m(z) = -7*k(z) - 6*n(z). Let y be m(-4). Factor 1/8*v**y + 3/8*v**3 + 1/4*v**2 + 0 + 0*v.
v**2*(v + 1)*(v + 2)/8
Let s be (1530/27)/(-17) - (1 + -5). Let i(z) be the first derivative of -z**2 + 2/5*z**5 - 3 + 1/2*z**4 + 0*z - s*z**3. Suppose i(p) = 0. Calculate p.
-1, 0, 1
Factor 0*b + 0*b**2 + 31/2*b**3 + 0 + 1/2*b**4.
b**3*(b + 31)/2
Let m = -29784/55 - -2714/5. Find s, given that 0 + 0*s**2 + m*s**5 + 0*s - 10/11*s**4 - 4/11*s**3 = 0.
-2/7, 0, 1
Let m be 589/209 + 4/22. Let v(i) be the second derivative of -2/3*i**4 + 1/3*i**m + 0*i**2 + 8*i + 3/5*i