11*a**3.
a*(a - 334)**2*(a + 1)/11
Let a(y) be the first derivative of 13*y**2 - 13/6*y**4 - 12*y - 34/9*y**3 - 2/9*y**6 + 22/15*y**5 - 210. Find z such that a(z) = 0.
-3/2, 1, 2, 3
Let r(b) be the third derivative of 0*b - 13/330*b**5 + 0 + 1/22*b**4 + 0*b**3 + 7/660*b**6 + 73*b**2. Factor r(z).
2*z*(z - 1)*(7*z - 6)/11
Factor -132/17*n + 256/17 + 2/17*n**2.
2*(n - 64)*(n - 2)/17
Let z(c) be the first derivative of c**7/490 + c**6/70 + c**5/35 + 4*c**2 - 3*c - 84. Let m(r) be the second derivative of z(r). Solve m(b) = 0 for b.
-2, 0
Factor 411690 + 26647*y + 17676330 - 7627*y - 60*y**2 + 65*y**2.
5*(y + 1902)**2
Suppose -w + 1843 = 1845. Let l be w*15/20 + 165/78. Let l*q - 18/13*q**3 + 0 + 0*q**2 = 0. Calculate q.
-2/3, 0, 2/3
Let l(k) be the second derivative of -k**6/60 + 33*k**5/40 + 143*k**4/24 + 61*k**3/4 + 37*k**2/2 - 490*k. Factor l(q).
-(q - 37)*(q + 1)**2*(q + 2)/2
Let r = 112859 + -225715/2. Factor 3/8*d**4 - 99/4*d**2 + 105/2*d - r*d**3 + 3675/8.
3*(d - 7)**2*(d + 5)**2/8
Let x(c) be the first derivative of c**4/60 - c**3/30 + 49*c - 194. Let v(h) be the first derivative of x(h). Factor v(r).
r*(r - 1)/5
Let k(q) be the second derivative of -q**5/30 - 29*q**4/18 - 148*q**3/9 + 140*q**2 - 15*q + 37. Find b such that k(b) = 0.
-21, -10, 2
Let p = 2140804/11 - 194437. Let m = 182 - p. Factor -m*z**2 - 2/11*z**3 - 1/11*z + 2/11.
-(z + 1)*(z + 2)*(2*z - 1)/11
Let t(k) = 21*k**2 + 95*k - 13. Let v(n) = -20*n**2 - 96*n + 12. Let h(d) = -d**2 + 12*d - 23. Let o be h(3). Let c(f) = o*t(f) + 3*v(f). Factor c(p).
4*(p + 4)*(6*p - 1)
Let l be 2/8*-2 + (-763)/14. Let h = -49 - l. Factor 4*f + 5*f - 2*f**2 + h + 5*f**2.
3*(f + 1)*(f + 2)
Factor -1220*u + 108*u**2 - 20*u**3 + 364*u**2 - 1500 + 553*u**2.
-5*(u - 50)*(u - 2)*(4*u + 3)
Let z(m) be the second derivative of -m**5/80 + m**4/6 - 7*m**3/8 + 9*m**2/4 + 5097*m. Let z(v) = 0. What is v?
2, 3
Let d(i) = i**2 - 244*i - 3339. Let q be d(257). Factor -5/3*v - 1/9*v**q + 16/9.
-(v - 1)*(v + 16)/9
Let c(m) = -85*m**2 + 10099*m + 8517675. Let t(n) = 31*n**2 - 3366*n - 2839225. Let a(g) = 4*c(g) + 11*t(g). Find r such that a(r) = 0.
-1685
Let m be 2/4 - (202/(-4) - -6). Let f = m + 32. Determine d, given that 4 - 4*d**2 - f*d + 77*d = 0.
-1, 1
Suppose 0 + 3/2*c**2 - 168*c = 0. Calculate c.
0, 112
Suppose 52 = -67*d + 186. Let q(j) be the first derivative of -3/4*j**4 - 24 + 4*j**3 + 0*j - 9/2*j**d. Let q(x) = 0. Calculate x.
0, 1, 3
Let z(m) be the first derivative of -12*m**5/35 + 33*m**4/14 - 24*m**3/7 - 3*m**2/7 + 24*m/7 + 1547. Find i, given that z(i) = 0.
-1/2, 1, 4
Let x(r) be the second derivative of r**5/4 + 5*r**4/2 - 275*r**3/6 - 12*r - 176. Determine n so that x(n) = 0.
-11, 0, 5
What is j in -737*j**2 - 128 - 84106*j + 536*j**3 + 84934*j + 18*j**4 - 517*j**2 = 0?
-32, 2/9, 1
Let a = 1943/217 + -251/31. Let w = 14 + -12. What is y in -a - 15/7*y + 96/7*y**w - 36*y**4 + 177/7*y**3 = 0?
-1/3, -1/4, 2/7, 1
Factor 42*x - 1028*x**2 + 99 + 544*x**2 + 487*x**2.
3*(x + 3)*(x + 11)
Let q(u) be the second derivative of -44*u + 0 + 1/21*u**4 - 18/7*u**2 + 0*u**3. Factor q(a).
4*(a - 3)*(a + 3)/7
Determine d so that 8*d**2 + 26825 + d**3 - 27725 + 51*d**2 + 840*d = 0.
-30, 1
Suppose 60*l + 952 = 1072. Solve 2/5*q**3 - 6/5 - 2*q - 2/5*q**l = 0.
-1, 3
Factor 0 - 524/9*d + 2/9*d**2.
2*d*(d - 262)/9
Let y(s) = 3*s**2 + 1067*s - 24921. Let n be y(22). Determine v, given that 189/8*v**4 + 343/8*v**2 + 441/8*v**3 + 27/8*v**n + 0*v + 0 = 0.
-7/3, 0
Let o(z) be the first derivative of -1/300*z**6 + 13*z**2 - 19 + 1/75*z**5 + 0*z + 0*z**3 + 0*z**4. Let t(p) be the second derivative of o(p). Factor t(m).
-2*m**2*(m - 2)/5
Factor -4/3*j**2 - 238572 + 1128*j.
-4*(j - 423)**2/3
Suppose -1/3*y**3 + 376/3*y**2 + 0*y + 0 = 0. What is y?
0, 376
Let f(w) = w**2 - 60367*w + 241461. Let c be f(4). Let c + 39/4*r + 3/4*r**2 = 0. Calculate r.
-12, -1
Let w = 491 - 271. Factor 109*a**2 - 4 - w*a**2 + 4 + 107*a**2 - 16*a**3.
-4*a**2*(4*a + 1)
Suppose 5*c + 6*r = 2*r + 10, -5*c - 2*r = -10. Suppose 0 = c*h - 14 - 2. Find f, given that -7*f**4 - 2*f**4 - 10*f**2 + 22*f**4 - h*f**4 + 5 = 0.
-1, 1
Let r = 2005 + -698. Suppose r = 5*k + 107. Factor k*z + 5*z**4 + 5 - 240*z - 10*z**2.
5*(z - 1)**2*(z + 1)**2
Let x(f) be the third derivative of -5*f**5/72 + 49*f**4/144 + f**3/18 - 82*f**2 + 3*f. Find h, given that x(h) = 0.
-1/25, 2
Let u(y) = 745*y**2 - 22055*y + 21170. Let k(n) = -62*n**2 + 1838*n - 1764. Let r(x) = 35*k(x) + 3*u(x). Suppose r(v) = 0. Calculate v.
1, 354/13
Let y = -700 + 763. Let w be (8 + (-602)/y)*(-12)/14. Factor 1 - 11/3*v - w*v**2.
-(v + 3)*(4*v - 1)/3
Let u(k) be the first derivative of 4*k**5/5 + 15*k**4/2 - 2*k**3/3 - 60*k**2 - 56*k + 1775. Find c, given that u(c) = 0.
-7, -2, -1/2, 2
Let t(x) be the first derivative of x**5/30 + 23*x**4/8 + 265*x**3/18 + 109*x**2/4 + 65*x/3 - 675. Find l, given that t(l) = 0.
-65, -2, -1
Factor 4/5*w + 36/5*w**2 - 36/5 - 4/5*w**3.
-4*(w - 9)*(w - 1)*(w + 1)/5
Let w = 473671/3 - 473657/3. Find h, given that -2/3*h**3 - w*h**2 + 16*h + 120 = 0.
-6, 5
Factor -877*t**3 - 12*t**4 - 65*t**2 + t**5 + 819*t**3 - 26*t - 27*t**2 - 37*t - 16.
(t - 16)*(t + 1)**4
Solve -584/5*a**2 + 0 + 576/5*a - 2/5*a**4 + 152/5*a**3 = 0 for a.
0, 2, 72
Let f(v) be the first derivative of 0*v + 134 + 3/2*v**2 + 1/5*v**3. Solve f(j) = 0 for j.
-5, 0
Let i(d) be the third derivative of d**5/12 + 5*d**4/6 + 10*d**3/3 - d**2 - 142*d. What is k in i(k) = 0?
-2
Let k(l) be the second derivative of -l**7/14 - 3*l**6/10 - 3*l**5/10 + l**4/2 + 3*l**3/2 + 3*l**2/2 + 12*l. Factor k(r).
-3*(r - 1)*(r + 1)**4
Let y = 95570 + -95566. Factor 0*i + 14/9*i**3 - 4/9*i**y + 0 - 2/9*i**5 - 8/9*i**2.
-2*i**2*(i - 1)**2*(i + 4)/9
Let l(i) be the second derivative of 0 - 4/3*i**3 - 5/12*i**4 + 182*i - 3/2*i**2. Suppose l(b) = 0. What is b?
-1, -3/5
Let p(x) be the third derivative of 7/8*x**5 + 7*x**2 + 0*x**4 + 0*x + 0 + 0*x**3 + 1/48*x**6. Determine t, given that p(t) = 0.
-21, 0
Let q(b) be the first derivative of 3*b**6/40 - 2*b**5/5 - 3*b**4/8 + 115*b**2 + 288. Let r(u) be the second derivative of q(u). Factor r(i).
3*i*(i - 3)*(3*i + 1)
Let k(h) be the first derivative of 2*h**3 - 6*h**2 + 8*h - 161. Let x(v) = 7*v**2 - 13*v + 9. Let w(i) = 3*k(i) - 2*x(i). Solve w(g) = 0 for g.
1, 3/2
Let p = 77 + -75. Let q be 104/78*6/p. Factor 8*v**2 + 15*v**q - 4*v - 617*v**3 + 645*v**3 + v**4.
4*v*(v + 1)**2*(4*v - 1)
Let b(r) = 445*r + 1782. Let n be b(-4). Let k(i) be the second derivative of 1/12*i**n - 8*i + 1/18*i**3 - 1/24*i**4 + 0. Find x such that k(x) = 0.
-1/3, 1
Let w(i) = -11*i + 136. Let t be w(14). Let k be -7 - (7 - (-444)/t). Let -2/9*m**3 - k*m - 128/9 - 8/3*m**2 = 0. Calculate m.
-4
Let f(q) be the second derivative of -4225/11*q**2 + 4*q - 1/66*q**4 - 130/33*q**3 + 14. Factor f(z).
-2*(z + 65)**2/11
Factor 14/19*m**3 - 32/19*m + 222/19*m**2 + 0.
2*m*(m + 16)*(7*m - 1)/19
Let o be (2 - 1)*(-72)/(-8). Factor -o - 21*z - 3*z**3 - 7*z**2 - 11*z**2 + 2*z**2 - 9*z**2 + 10*z**2.
-3*(z + 1)**2*(z + 3)
Let p(a) be the second derivative of -3*a**5/65 - 17*a**4/78 + a**3/39 + 22*a**2/13 + 1113*a. Solve p(v) = 0 for v.
-2, -11/6, 1
Suppose 8 - 92 = 7*r. Let z be r + (-616)/(-49) - 10/(-7). Let -2/5*a**z + 1/5*a**3 - 1/5*a + 2/5 = 0. Calculate a.
-1, 1, 2
Let b(o) be the second derivative of -5*o**4/6 - 418*o**3/3 + 168*o**2 + 1808*o. Factor b(i).
-2*(i + 84)*(5*i - 2)
Let r(l) be the third derivative of -2*l**7/21 + l**6/10 + 32*l**5/15 + 2*l**4 + 34*l**2 + l - 5. What is m in r(m) = 0?
-2, -2/5, 0, 3
Let j(o) be the first derivative of 2*o**5/5 + 7*o**4/2 - 82*o**3/3 + 33*o**2 + 704. Determine k, given that j(k) = 0.
-11, 0, 1, 3
Suppose 0 = -3*x + 7*c - 70, 112*x = 114*x + 2*c - 20. Solve 2*a**2 + 1/4*a**3 + 0 + x*a = 0.
-8, 0
Let m(v) = 17*v + 9245. Let z be m(0). Suppose 5*q**2 + z + 36*q + 109*q + 285*q = 0. Calculate q.
-43
Suppose -3 = -2*b - 3*m, -9*b + 5*b - 39 = -3*m. Let t be (2/b)/((-1)/21) + -7. Determine d, given that -4/7*d**2 + t*d**4 + 0 + 0*d + 6/7*d**3 - 2/7*d**5 = 0.
-2, 0, 1
Let t be ((-2)/11)/(((-1932)/253)/28). Find f such that t*f + 0 + 4/3*f**2 + 2/3*f**3 = 0.
-1, 0
Suppose 3*f + 2595 = -6*q + 2625, 2*f + 20 = 4*q. Factor 3/5*u**4 + 0*u + 1/5*u**q - 9/5*u**3 + 0 + u**2.
u**2*(u - 1)**2