14/5*x + 3/5*x**2.
-(x - 2)*(x + 1)**2*(x + 4)/5
Let v be (-2035)/(-370) + 36/(-24). Suppose 2/5*b**3 + 3 - 16/5*b**2 - 2/5*b + 1/5*b**v = 0. What is b?
-5, -1, 1, 3
Let c(o) be the third derivative of o**8/84 + o**7/42 - 7*o**6/120 - o**5/30 + 4*o**2 - 194. Find i such that c(i) = 0.
-2, -1/4, 0, 1
Suppose m + a + 2*a - 13 = 0, 3*m - 50 = 2*a. Suppose -37 = -m*o + 11. Factor -39*s**2 - s**2 + 4*s**o - 4*s + 50 - 10.
4*(s - 10)*(s - 1)*(s + 1)
Suppose 10*m = z + 11, -278*m + 280*m = 2*z - 32. Factor 16/5*u**2 - 6/5*u**m + 36/5 + 114/5*u.
-2*(u - 6)*(u + 3)*(3*u + 1)/5
Let i = 10941 - 787747/72. Let l(u) be the third derivative of 1/360*u**6 + 1/9*u**3 + 1/45*u**5 + 0*u + i*u**4 + 20*u**2 + 0. Find h such that l(h) = 0.
-2, -1
Suppose -2813*l + 2822*l = 27. Let r(g) be the third derivative of 0*g - 22/21*g**4 - 8/21*g**l + 4*g**2 - 121/105*g**5 + 0. What is k in r(k) = 0?
-2/11
Let z(m) be the third derivative of m**7/105 + 17*m**6/10 + 1244*m**5/15 - 520*m**4 - 21632*m**3/3 - 7698*m**2. Factor z(p).
2*(p - 4)*(p + 2)*(p + 52)**2
Let l(f) be the second derivative of -2*f**6/75 - f**5/5 + 61*f**4/15 - 22*f**3/3 - 10756*f. Solve l(x) = 0.
-11, 0, 1, 5
Let r(u) = u**3 + 2*u**2 - 1. Let n(q) = -10*q**3 - 98*q**2 + 12. Let b(s) = n(s) + 12*r(s). Factor b(j).
2*j**2*(j - 37)
Let d(v) be the second derivative of -3*v**5/70 + 19*v**4/14 - 17*v**3 + 105*v**2 + 1333*v. Factor d(w).
-6*(w - 7)**2*(w - 5)/7
Let j = -20756 + 186805/9. Let p(c) be the first derivative of -18 - 1/9*c - j*c**3 + 1/36*c**4 + 1/6*c**2. Suppose p(r) = 0. What is r?
1
Let p(h) be the first derivative of -2/3*h**3 + 0*h**5 + 1/1260*h**6 - 1/21*h**4 + 0*h**2 - 23 + 0*h. Let i(z) be the third derivative of p(z). Factor i(g).
2*(g - 2)*(g + 2)/7
Let a(o) = -2*o**3 - 18*o**2 + 6*o + 20. Let s(n) = n**3 + 10*n**2 - 2*n - 10. Let m(v) = 4*a(v) + 7*s(v). Let x be m(-4). Factor -2/3 - 1/3*k**x + k.
-(k - 2)*(k - 1)/3
Let z(g) be the first derivative of g**4/24 + 103*g**3/18 + 901*g**2/4 + 867*g/2 + 4059. Factor z(d).
(d + 1)*(d + 51)**2/6
Let h(m) = -2*m**3 + 37*m**2 - 59*m - 87. Let u(p) be the second derivative of -p**4/12 - p**3/6 - p**2/2 - 36*p. Let t(f) = 2*h(f) + 22*u(f). Factor t(k).
-4*(k - 7)**2*(k + 1)
Let m be 23*(-5 - (-3 - 2 - -5)). Let i = m - -118. Factor 0*d**4 - 1/2*d**5 + 1/2*d**i + 0*d**2 + 0 + 0*d.
-d**3*(d - 1)*(d + 1)/2
Let x = -395 + 714. Let q = x + -317. Factor 0 + 4/3*b**4 + 0*b + 5/3*b**3 + 2/3*b**q + 1/3*b**5.
b**2*(b + 1)**2*(b + 2)/3
Let u(x) be the first derivative of -5*x**6/24 - 107*x**5/4 - 6745*x**4/8 + 21865*x**3/6 - 44825*x**2/8 + 15125*x/4 + 707. Factor u(r).
-5*(r - 1)**3*(r + 55)**2/4
Let f(m) be the second derivative of -8*m + 1/12*m**4 + 1/40*m**5 - 1/168*m**7 - 1/4*m**2 - 1/24*m**3 - 2 - 1/60*m**6. Determine u so that f(u) = 0.
-2, -1, 1
Suppose -280*t + 3 - 4 + 1 = 0. Let b(h) be the second derivative of 0*h**3 + 0*h**5 - 1/120*h**6 + 0*h**2 + 23*h + 1/48*h**4 + t. Factor b(n).
-n**2*(n - 1)*(n + 1)/4
Let i be (-7)/(-2)*(-24)/(-21). Let d(c) = 2*c**5 - 70*c**4 + 576*c**3 + 2*c. Let r(y) = -y**4 - y**3 + y. Let w(u) = i*r(u) - 2*d(u). Factor w(f).
-4*f**3*(f - 17)**2
Let f(d) be the first derivative of 81*d**4/4 - 171*d**3/4 - 279*d**2/2 - 105*d + 4436. Find c, given that f(c) = 0.
-2/3, 35/12
Let x(p) be the third derivative of -p**8/336 + 2*p**7/105 + p**6/8 - 7*p**5/30 - 7*p**4/6 + 4*p**3 - 563*p**2. Suppose x(j) = 0. What is j?
-2, 1, 6
Let q(l) = -10436*l + 62619. Let v be q(6). Factor 1/4*u**v + 3/4*u**2 + 0 + 1/2*u.
u*(u + 1)*(u + 2)/4
Let x be (-6)/(-20) + (25 - 44) + (-406)/(-20). Factor 6/5*f**3 - x*f**2 - 22/15*f - 4/15.
2*(f - 2)*(3*f + 1)**2/15
Let l(u) be the second derivative of 1/63*u**7 + 0*u**2 + 5*u - 1/30*u**5 + 0*u**3 + 8 + 1/18*u**4 - 1/45*u**6. Let l(d) = 0. Calculate d.
-1, 0, 1
Let b(j) = -j**2 - 20*j + 68. Let q(g) = 5*g**2 + 99*g - 332. Let y(u) = -19*b(u) - 4*q(u). Factor y(r).
-(r - 2)*(r + 18)
Let b = 906 + -904. Let p = 6 + -4. Let -6 - 7*o**2 + 9*o**p + b*o + o - 7*o = 0. What is o?
-1, 3
Let g(c) = -c**3 + 11*c**2 + 3*c - 21. Let a be g(0). Let h be a/(-10) - 4/40. Factor -4/3*r**3 + 2/3*r + 2/3*r**5 + 0*r**4 + 0 + 0*r**h.
2*r*(r - 1)**2*(r + 1)**2/3
Let u(q) be the third derivative of q**7/3360 - q**6/1440 - 35*q**3 + 36*q**2 - 3*q. Let s(o) be the first derivative of u(o). Factor s(r).
r**2*(r - 1)/4
Suppose 5*d - 28 = 492. Suppose -d = -6*a - 38. Find p, given that 2 + 3*p**4 + a*p**3 - 4*p**5 + 4*p**2 - 5*p - 4 - 7*p**4 = 0.
-2, -1/2, 1
Let s(g) be the second derivative of -1/45*g**6 - 75*g**2 - 8/15*g**5 - 47/9*g**4 + 4*g - 80/3*g**3 + 12. Find z such that s(z) = 0.
-5, -3
Let f(m) be the first derivative of 106/35*m**5 + 12/7*m**6 - 17/14*m**4 + 44 - 19/7*m**2 - 34/7*m**3 - 4/7*m. Suppose f(k) = 0. Calculate k.
-1, -1/4, -2/9, 1
Factor 4/3*s**3 + 0*s + 388/3*s**2 + 0.
4*s**2*(s + 97)/3
Suppose 262*r - 267*r - 4*p - 8 = 0, 2*r + p = 1. Factor 32/3*w**3 + 8/3*w - 4*w**r - 28/3*w**2 + 0.
-4*w*(w - 1)**2*(3*w - 2)/3
Let h(y) be the first derivative of 3/2*y**4 - 9/2*y**2 + 1/2*y**6 - 4*y**3 + 0*y + 12/5*y**5 + 31. Let h(q) = 0. What is q?
-3, -1, 0, 1
Let z(a) be the first derivative of -2*a**3/9 - 8356*a**2/3 - 34911368*a/3 - 8420. Suppose z(x) = 0. Calculate x.
-4178
Suppose 0 = -5*w + o - 48, -4*w + 3*o - 48 = 7*o. Let c be (-2)/((-56)/w - (-1 + 7)). Factor 1718/3*v**2 - 695*v**3 + 300*v**4 - 125/3*v**c - 196*v + 24.
-(v - 3)**2*(5*v - 2)**3/3
Let g(q) = q**2 - 154*q + 2795. Let v be g(133). Let m(k) be the first derivative of -2/5*k**v + 15 + 4/15*k**3 + 0*k. Factor m(l).
4*l*(l - 1)/5
Let q(c) be the second derivative of -c**5/60 - 31*c**4/12 + c**3/18 + 31*c**2/2 + 2*c + 937. Factor q(r).
-(r - 1)*(r + 1)*(r + 93)/3
Let z(c) be the third derivative of c**6/30 - 1346*c**5/15 + 452929*c**4/6 - 45*c**2 - 4. Find y such that z(y) = 0.
0, 673
Let y = -56012921/280345 - 2/56069. Let c = -199 - y. Factor -4/5*i**3 + 0*i + 4/5*i**5 + 4/5*i**4 + 0 - c*i**2.
4*i**2*(i - 1)*(i + 1)**2/5
Suppose 2*j = 8, 3*i + 9*j = 4*j + 26. Factor i*p**2 + 5*p**2 - 10 - 15*p**2 + 3*p**2 + 35*p + 160.
-5*(p - 10)*(p + 3)
Let k(i) be the third derivative of -74*i**5/15 - 173*i**4/2 - 14*i**3/3 - 3*i**2 - 397*i. Factor k(a).
-4*(a + 7)*(74*a + 1)
Factor -3*f**4 - 334*f + 2293*f**2 + 34*f - 388*f**3 + 82*f**3 - 1259*f**2 - 1637*f**2.
-3*f*(f + 1)**2*(f + 100)
Let v be 2/(-11) - (-32 + (-39924)/693). Find b, given that -2*b**5 - 80/7*b - 206/7*b**4 - 86*b**2 + 88/7 - v*b**3 = 0.
-11, -2, -1, 2/7
Let p(z) = 3007*z - 24056. Let g be p(8). Factor g*b**3 + 0 + 0*b**2 - 2/5*b**4 + 0*b.
-2*b**4/5
Solve -2/13*l**2 - 16/13*l + 40/13 = 0.
-10, 2
Let x = -498/413 - -5308/3717. Factor -44/9*a**3 + 0 + 16/9*a**4 - 2*a - x*a**5 + 16/3*a**2.
-2*a*(a - 3)**2*(a - 1)**2/9
Suppose -b + 22 = -13. Suppose -b = -8*v + 3*v. Factor -4*k - k**5 + v*k**2 + k**4 + 2*k + 0*k + 4*k**4 - 9*k**3.
-k*(k - 2)*(k - 1)**3
Let x(n) be the second derivative of 0*n**3 + 1/273*n**7 - 23/130*n**5 - 2/13*n**4 - 2/39*n**6 + 2*n - 15 + 0*n**2. Let x(d) = 0. Calculate d.
-1, 0, 12
Suppose -39 = 10*k - 59. Suppose k*t - 7 = -5*z, -7 = 3*z + 3*t - 4. Find p, given that -10/11*p**2 - 8/11 - 16/11*p - 2/11*p**z = 0.
-2, -1
Let r(s) = -s**2 - s. Suppose -13 = -3*t - 1. Let d(m) = -4*m**2 + 74*m - 722. Let b(n) = t*r(n) - 2*d(n). Solve b(z) = 0.
19
Let g(w) = 2*w**3 + 3*w**2 + 33*w + 128. Let s be g(-3). Suppose 2/13*n**5 - 6/13*n**4 + 0*n + 0 + 4/13*n**3 + 0*n**s = 0. What is n?
0, 1, 2
Let t(a) be the third derivative of -1/448*a**8 + 0 + 13/240*a**6 - 23/96*a**4 - 26*a**2 + 0*a - 13/24*a**3 + 1/40*a**5 + 1/120*a**7. Let t(h) = 0. What is h?
-1, 1, 13/3
Suppose 9*u - 7*u = -7*u + 72. Let d(q) be the first derivative of u - 2/21*q**3 + 1/7*q**2 + 0*q. Suppose d(g) = 0. What is g?
0, 1
Let r(w) be the second derivative of w**6/12 + 25*w**5/4 + 285*w**4/2 - 1805*w**3/6 - 240065*w**2/4 - 15*w - 9. Factor r(b).
5*(b - 7)*(b + 19)**3/2
Let j = 31202/34309 + -12/34309. Find d such that 10/11*d**3 + 0*d + 0 + 4/11*d**2 - 4/11*d**4 - j*d**5 = 0.
-1, -2/5, 0, 1
Let n(z) be the second derivative of -z**9/30240 + z**8/3360 - z**7/1008 + z**6/720 - 17*z**4/6 - 24*z. Let r(m) be the third derivative of n(m). Factor r(w).
-w*(w - 2)*(w - 1)**2/2
Let k(f) be the second derivative of f**6/180 +