*q + 12*q + 2*q**2 = 0.
-5, 0
Let t = 11190/19 + -587. Let k = t - 17/38. Factor k*z**2 + 0 + 27/2*z.
3*z*(z + 9)/2
Let r(a) = 1375*a**3 - a**2 - 4*a + 3. Let v be r(1). Suppose -1368*m - 15 = -v*m. What is y in -4/7*y**m - 2/7*y**2 + 4/7*y + 0 + 2/7*y**4 = 0?
-1, 0, 1, 2
Let u(v) be the second derivative of 10*v**7/21 - 74*v**6/15 + 34*v**5/5 + 52*v**4/3 - 16*v**3 - 2527*v. Find g such that u(g) = 0.
-1, 0, 2/5, 2, 6
Let r(n) = 192*n**5 - 3724*n**4 - 2328*n**3 + 244*n**2 + 14*n - 14. Let m(h) = -6*h**2 - h + 1. Let q(c) = -14*m(c) - r(c). Suppose q(y) = 0. Calculate y.
-2/3, 0, 1/16, 20
Let c be 0*(-10)/(-240)*12. Let u(f) be the first derivative of 25 + 0*f**2 + 1/12*f**6 - 1/5*f**5 + 0*f**3 + c*f + 1/8*f**4. Suppose u(k) = 0. Calculate k.
0, 1
Let i(x) = 33*x + 499. Let l be i(-15). Let a(m) be the first derivative of -1/22*m**l - 12/11*m + 13 + 8/33*m**3 - 1/11*m**2. Let a(j) = 0. Calculate j.
-1, 2, 3
Let p(u) be the second derivative of -u**4/54 - 346*u**3/9 - 29929*u**2 - 2695*u. Find a such that p(a) = 0.
-519
Let c be -41 - (-1 - 4 - (8 - 17)). Let u be (9/6)/(c/(-100)). Factor 8/3 + 16/3*v + 2/3*v**3 + u*v**2.
2*(v + 1)*(v + 2)**2/3
Factor -5/2*c**2 - 1/2*c**4 + 0 - 7*c + 4*c**3.
-c*(c - 7)*(c - 2)*(c + 1)/2
Suppose 0 = -g + 3*c + 6, -12*g + 9*g + 5*c = -26. Suppose -g = 2*k + 7*x - 3*x, 3*k - x = 10. Solve 0 + 1/4*y**3 + 0*y - 1/4*y**k = 0 for y.
0, 1
Find p such that -5/3*p**2 - 275*p - 810 = 0.
-162, -3
Let r be (-49275)/125 + (0 - 1/(-5)). Let a = r - -5124/13. Let -a*t**3 - 8/13 - 4/13*t**2 + 14/13*t = 0. What is t?
-4, 1
Let m = 36042/7 - 5136. Let z(x) = -2*x**2 + 515*x - 6816. Let j be z(14). Suppose 3/7*k**3 + m*k**j + 900/7*k + 3000/7 = 0. Calculate k.
-10
Find g such that -3734*g**4 + 5*g - 1254*g**5 - 192*g**5 - 13*g + 1020*g**2 - 6798*g**3 + 9771*g**4 = 0.
0, 2/241, 1/6, 2
Let m(d) be the second derivative of d**7/56 + 41*d**6/10 + 969*d**5/40 + 241*d**4/4 + 641*d**3/8 + 60*d**2 - 6612*d. Factor m(y).
3*(y + 1)**4*(y + 160)/4
Let 24115389*i + 19107*i**2 + 3*i**3 + 20395079594 + 8310825007 + 16448772*i = 0. Calculate i.
-2123
Let x(y) = y**3 + 8*y**2 + 13*y + 12. Let w be x(-6). Let g be w + -3 - 6*-2. Factor -g*m**3 + 22*m**3 + m**5 + 5*m - 17*m**3 + 4*m**5.
5*m*(m - 1)**2*(m + 1)**2
Let q be 7/3 + -4 - (-9)/(9/2). Determine s, given that -2*s**2 + 0 + q*s - 10/3*s**4 + s**5 + 4*s**3 = 0.
0, 1/3, 1
Factor -26 - 230/9*h**2 - 466/9*h + 2/9*h**3.
2*(h - 117)*(h + 1)**2/9
Let o be (-4)/8 + (-18)/(-4). Let n be 2*3/42 - (-2928)/427. Solve -n + 20 - 9 + 4*g**o - 8*g**2 = 0.
-1, 1
Suppose 18*s = 13*s + 4*w - 32180, -s = -3*w + 6425. Let l be 12/10*-1*s/392. Factor 3*d**4 - 75/7 - 3/7*d**5 - l*d**2 - 195/7*d + 6/7*d**3.
-3*(d - 5)**2*(d + 1)**3/7
Let y(p) be the third derivative of -16/5*p**6 + 1 + 8/15*p**7 - 31/2*p**4 + 146/15*p**5 - 1/28*p**8 + 0*p + 2*p**2 + 12*p**3. Find d such that y(d) = 0.
1/3, 1, 2, 3
Let a(i) be the second derivative of i**6/600 - 7*i**5/100 + 13*i**4/40 + 82*i**3/3 - 2*i - 18. Let c(g) be the second derivative of a(g). Solve c(w) = 0 for w.
1, 13
Let m(t) be the first derivative of 35*t + 10/3*t**3 - 1/3*t**4 - 8*t**2 + 27. Let q(z) be the first derivative of m(z). Solve q(c) = 0.
1, 4
Let x(y) be the first derivative of -2*y**3/3 + 15*y**2 + 200*y + 1526. Factor x(s).
-2*(s - 20)*(s + 5)
What is w in -3480 + 2511709*w**2 - 2511704*w**2 - 157*w - 238*w = 0?
-8, 87
Let n = 1437 + -1439. Let s be (n/(-5))/((-231)/(-55)). What is w in -32/21*w + s*w**2 + 128/21 = 0?
8
Let k(y) be the third derivative of y**6/1440 + y**5/160 + y**4/48 + 34*y**3/3 + 109*y**2. Let x(n) be the first derivative of k(n). Factor x(m).
(m + 1)*(m + 2)/4
Suppose 0 = 4094*z - 4120*z. Let x(a) be the third derivative of 5/36*a**4 - 1/180*a**6 - 17*a**2 - 1/315*a**7 + 2/9*a**3 + z + 0*a + 1/30*a**5. Factor x(d).
-2*(d - 2)*(d + 1)**3/3
Let c(r) be the first derivative of 1/39*r**6 + 1/26*r**4 + 0*r + 31 + 14/13*r**3 - 2/13*r**5 - 18/13*r**2. Let c(s) = 0. What is s?
-2, 0, 1, 3
Let m = 104217 + -104215. Solve -9/5*x**m - 4/5*x - 1/5*x**4 + 0 - 6/5*x**3 = 0 for x.
-4, -1, 0
Let u = -41 - -45. Factor -10*h**3 + 5*h**5 - 230*h**2 - 7*h**4 + 325*h - 32*h**4 + 74*h**u - 125.
5*(h - 1)**3*(h + 5)**2
Let i(w) = -9251*w**3 + 35687*w**2 + 5121*w + 156. Let k(x) = -2*x**3 - x**2 + 2*x - 8. Let v(f) = -i(f) + 3*k(f). Factor v(a).
5*(a - 4)*(43*a + 3)**2
Let o(s) be the third derivative of -s**8/2240 - s**7/168 - s**6/40 + s**4/12 + 9*s**3/2 - 2*s**2 - 61. Let u(t) be the second derivative of o(t). Factor u(h).
-3*h*(h + 2)*(h + 3)
Let f = -54 + 57. Suppose f*b + 144 = 12*b. Determine d, given that -b*d**2 - 2 + 19*d - 7 + 5*d = 0.
3/4
Suppose -120*g + 22*g**5 + 6*g**3 + 19*g**5 - 62*g**5 + 12*g**5 - 224*g**2 + 15*g**5 + 52*g**4 + 64 = 0. What is g?
-8, -2, -1, 1/3, 2
Suppose -u + 2*u - 2*a + 40 = 0, 70 = -3*u - 4*a. Let o = 32 + u. Determine s, given that -8*s + 2*s**3 + 4*s**2 + 0*s**3 + o*s**3 = 0.
-2, 0, 1
Let a(b) be the second derivative of b**7/18900 + 23*b**6/5400 - 71*b**4/12 + 61*b. Let w(f) be the third derivative of a(f). Find l such that w(l) = 0.
-23, 0
Let a(b) be the third derivative of b**5/330 + 61*b**4/132 - 42*b**3/11 + 1198*b**2. Factor a(z).
2*(z - 2)*(z + 63)/11
Suppose 5230 = 58*b + 5056. Let r(u) be the third derivative of -4*u**2 + 0*u - 7/24*u**6 + 0*u**b - 5/24*u**4 + 0 - 5/12*u**5 - 1/14*u**7. Factor r(l).
-5*l*(l + 1)**2*(3*l + 1)
Let f = -3605471/8 - -450684. Factor f*t - 1/8*t**2 + 1/4.
-(t - 2)*(t + 1)/8
Let l(a) = 33*a - 63. Let f be l(2). Let g(s) be the third derivative of 5/2*s**f - 1/24*s**6 + 0*s + 13*s**2 + 1/12*s**5 + 25/24*s**4 + 0. Factor g(p).
-5*(p - 3)*(p + 1)**2
Let q(n) be the second derivative of -n**8/448 - 3*n**7/560 + n**6/160 + 5*n**2 - 2*n - 5. Let a(h) be the first derivative of q(h). Let a(l) = 0. What is l?
-2, 0, 1/2
Let f(k) be the first derivative of 2*k**5/35 + k**4/2 + 4*k**3/3 + 8*k**2/7 - 322. Factor f(z).
2*z*(z + 1)*(z + 2)*(z + 4)/7
Let g = -5/5368 - -37601/26840. Suppose 1/10*s**5 - g*s**4 + 4*s**2 - 49/5 + 23/5*s**3 - 119/10*s = 0. What is s?
-1, 2, 7
Let y(s) = -37*s**3 + 660*s**2 + 16*s - 2640. Let w(a) = -325*a**3 + 5940*a**2 + 145*a - 23760. Let h(r) = 4*w(r) - 35*y(r). Suppose h(n) = 0. What is n?
-2, 2, 132
Let z(o) be the third derivative of -o**7/420 + 63*o**6/20 - 47879*o**5/40 + 142129*o**4/24 + 2*o**2 + 2101*o. Find b, given that z(b) = 0.
0, 2, 377
Suppose 0 = 2*g + 3*v - 25, 0 = -2*g - 5*v + 14 + 17. Let o be (-65)/20*-1 - (11 - g). Factor 1/4 - o*x**3 - 1/4*x**2 + 1/4*x.
-(x - 1)*(x + 1)**2/4
Let t(c) be the third derivative of c**8/13440 - 3*c**7/560 + 27*c**6/160 - c**5/60 + 7*c**3/6 - 11*c**2. Let u(s) be the third derivative of t(s). Factor u(k).
3*(k - 9)**2/2
Let l(c) be the second derivative of -3*c**7/49 - 3*c**6/35 + 11*c**5/5 + 52*c**4/21 + 51*c - 5. Suppose l(d) = 0. What is d?
-13/3, -2/3, 0, 4
Let d = -1151536 + 1151540. Factor -24/5*s**2 + 4*s + 9/5*s**3 + 0 - 1/5*s**d.
-s*(s - 5)*(s - 2)**2/5
Factor 0 + 5/9*w**3 - 32/9*w - 28/9*w**2 + 1/9*w**4.
w*(w - 4)*(w + 1)*(w + 8)/9
Let n = 151/423 - 10/423. Solve 1/9*h - n*h**5 + 10/9*h**3 + 2/9 + 2/9*h**4 - 4/3*h**2 = 0 for h.
-2, -1/3, 1
Let q(d) = -2*d**3 + 7434*d**2 - 3452162*d. Let b(p) = -2*p**3 - 2*p**2 - 2*p. Let g(o) = b(o) + q(o). Determine s, given that g(s) = 0.
0, 929
Find x, given that 0 - 681/5*x**3 - 3/5*x**4 + 0*x + 0*x**2 = 0.
-227, 0
Let l be ((-1444)/(-6))/(-9 - (-175)/21). Let u = l - -1091/3. Determine f, given that -u - 10/3*f - 2/3*f**2 = 0.
-4, -1
Let k(h) be the first derivative of -3*h**4/16 - 59*h**3/4 - 2265*h**2/8 - 2091*h/4 + 1636. Find x, given that k(x) = 0.
-41, -17, -1
Let b(w) = -w**2 - 15*w - 54. Let m be b(-8). Let u(p) be the second derivative of 0*p**3 - p + 0 - 1/72*p**4 + 1/12*p**m. Solve u(c) = 0.
-1, 1
Let i(f) be the second derivative of -9*f**5/70 - 121*f**4/21 - 457*f**3/21 - 32*f**2 - 320*f + 4. Find z, given that i(z) = 0.
-224/9, -1
Let z(s) be the first derivative of 5*s**6/6 - 107*s**5/5 + 39*s**4/4 + 21*s**3 + 1162. Determine a so that z(a) = 0.
-3/5, 0, 1, 21
Let c(i) be the second derivative of i**4/42 + 2504*i**3/21 + 1567504*i**2/7 - 44*i. Factor c(b).
2*(b + 1252)**2/7
Suppose 0 = -37*o - 253*o + 870. Let t(q) be the first derivative of -23/4*q**