3 = 0. What is a?
-1, 0
Let g(m) be the first derivative of -m**5/5 + 11*m**4/8 - 10*m**3/3 + 3*m**2 - 58. Factor g(k).
-k*(k - 2)**2*(2*k - 3)/2
Let r(c) be the first derivative of -3*c**5/25 + 57*c**3/5 - 84*c**2/5 + 616. Find a, given that r(a) = 0.
-8, 0, 1, 7
Let a(k) be the first derivative of k**6/6 - 9*k**5/5 + 6*k**4 - 20*k**3/3 + 39. Factor a(f).
f**2*(f - 5)*(f - 2)**2
Let p(k) be the third derivative of -1/10*k**5 - 1/2*k**3 + 13*k**2 - 5/16*k**4 - 1/80*k**6 + 0*k + 0. Factor p(q).
-3*(q + 1)**2*(q + 2)/2
Factor 8/5*a**3 + 66/5*a - 72/5*a**2 - 16/5.
2*(a - 8)*(2*a - 1)**2/5
Let u be (33/(-22))/(12/(-40)). Let r(p) be the third derivative of 0*p - 1/30*p**u + 1/2*p**4 - 5*p**2 - 3*p**3 + 0. Suppose r(c) = 0. Calculate c.
3
Let a be 7 + ((-1078)/180 - 1). Let n(y) be the second derivative of 0*y**3 - a*y**6 - 1/60*y**5 - 1/108*y**4 - 1/378*y**7 - 4*y + 0 + 0*y**2. Factor n(j).
-j**2*(j + 1)**3/9
Let k(a) be the first derivative of a**3/6 + 5*a**2/2 - 12*a - 41. What is n in k(n) = 0?
-12, 2
Let w(y) be the second derivative of 0*y**2 + 7/50*y**6 + 0*y**3 + 1/10*y**4 + 4*y + 0 - 1/35*y**7 - 21/100*y**5. Solve w(l) = 0 for l.
0, 1/2, 1, 2
What is n in -25*n**3 - 32*n**4 + 70*n**4 - 40 - 33*n**4 - 115*n - 105*n**2 = 0?
-1, 8
Factor 27/7*b + 3/7*b**2 + 24/7.
3*(b + 1)*(b + 8)/7
Let y(u) be the second derivative of -u**4/3 + 32*u**3/3 - 30*u**2 + 276*u. Factor y(q).
-4*(q - 15)*(q - 1)
Factor -6*j**2 + 310*j - 4829 + 24 + j**2.
-5*(j - 31)**2
Let v = 3312 + -9916/3. Suppose 5/3*c**5 + 5/3*c**3 + 20/3*c**4 - 50/3*c**2 - v*c + 40/3 = 0. What is c?
-2, 1
Let k = 35 - 36. Let a(m) = -m**2 - m + 1. Let q(r) = -24*r**2 - 4*r + 8. Let w(o) = k*q(o) + 20*a(o). Find s, given that w(s) = 0.
1, 3
Let n(q) be the second derivative of -15*q**7/56 - 29*q**6/24 - 33*q**5/16 - 25*q**4/16 - 5*q**3/12 - 5*q - 8. Factor n(v).
-5*v*(v + 1)**3*(9*v + 2)/4
Suppose 7*p - 8*p - 2*v - 2 = 0, 2 = 5*p + 4*v. Suppose -8 + 6*l + 2*l**2 - 2*l**2 - l**p - 15*l = 0. Calculate l.
-8, -1
Let q = 208 + -203. Let t(n) be the third derivative of 0*n + 0*n**3 - 1/8*n**4 + 4*n**2 + 0 - 1/5*n**q. Factor t(v).
-3*v*(4*v + 1)
Let p be 8/(7/2 + -3). Determine f so that 5*f**5 - 14*f**5 + 2*f**4 - 8*f**2 - p*f + 11*f**5 + 12*f**3 + 8*f**4 = 0.
-2, 0, 1
Let r(l) = 12*l**4 + 23*l**3 - 89*l**2 + 73*l - 16. Let s(k) = -k**3 - k**2 + k. Let g(h) = r(h) + 3*s(h). Determine n so that g(n) = 0.
-4, 1/3, 1
Let l be 2132/312 + -6*1. Let o(q) be the first derivative of 7/4*q**2 - l*q**3 - q + 1. Solve o(h) = 0 for h.
2/5, 1
Let g be 5363/7266 + (-4)/7. Let a(x) be the third derivative of -3*x**2 + 2/3*x**4 + 4/3*x**3 + 1/60*x**6 + 0*x + 0 + g*x**5. Factor a(r).
2*(r + 1)*(r + 2)**2
Let f(v) be the third derivative of 2*v**2 + 0 + 0*v + 7/5*v**5 + 25/16*v**4 + 1/5*v**6 + 3/4*v**3. Suppose f(k) = 0. Calculate k.
-3, -1/4
Let j = 895/3 - 298. Let u(c) be the second derivative of -6*c + 0 + 1/3*c**7 + 0*c**3 + 4/5*c**6 + 3/10*c**5 + 0*c**2 - j*c**4. Factor u(f).
2*f**2*(f + 1)**2*(7*f - 2)
Let s(p) = -p + 13. Let i be s(11). Solve -90*z - 435*z**i + 47*z**5 - 220*z**3 + 5*z**4 + 300*z**4 - 107*z**5 = 0 for z.
-2/3, -1/4, 0, 3
Let y(x) be the second derivative of -x**4/54 + 8*x**3/3 - 144*x**2 + 8*x + 12. Solve y(f) = 0.
36
Let d(u) = -9 - 15*u - 15*u + 32*u. Let w be d(6). Factor -4*p**2 + 3*p**2 + 13*p - 9*p - w.
-(p - 3)*(p - 1)
Let u(n) = n**2 + 10*n + 15. Let l(o) = -2*o - 43. Let q be l(-19). Let x(c) = 10*c + 15. Let j(t) = q*u(t) + 6*x(t). Factor j(i).
-5*(i - 3)*(i + 1)
Let t be (1 - 0) + ((-48)/(-6))/4. Let z be -2 + 7 + -2 - t. What is p in -10/7*p**4 + 0 - 2/7*p**5 - 16/7*p**3 + z*p - 8/7*p**2 = 0?
-2, -1, 0
Suppose -2*v = -3*w - 4*v + 3, 0 = -v. Let j(r) = 4*r - 1. Let g be j(w). Suppose 0 + 1/5*l**4 + 1/5*l**2 + 0*l - 2/5*l**g = 0. What is l?
0, 1
Let n(k) = -19*k**3 - 9*k**2 + 30*k + 11. Let t(z) = -9*z**3 - 4*z**2 + 15*z + 6. Let i(o) = 4*n(o) - 9*t(o). Factor i(m).
5*(m - 2)*(m + 1)**2
Factor 98 - 105*v + 58 + 20*v**2 - 131.
5*(v - 5)*(4*v - 1)
Factor -38*f**2 + 3*f**3 + 33 + 15 + 17*f**2 + 10*f - 40*f.
3*(f - 8)*(f - 1)*(f + 2)
Suppose 1/4*n**4 + 0*n - 3/2*n**3 + 0 + 9/4*n**2 = 0. Calculate n.
0, 3
Let i be 10 - (2 + -5) - -2. Suppose 3*j - 12 = 3*g - 8*g, -4*g + 3*j = -i. Factor 4*t**g + 5*t**4 + 0*t**3 - 2*t**3.
t**3*(5*t + 2)
Let x be (20/(-3))/((-8)/(-60)). Let w be (-46)/(-10) + (-20)/x. Solve -q**5 + w*q**2 - 2*q**5 - 6*q**4 + 3*q + q**2 = 0.
-1, 0, 1
Let h = -49 + 34. Let t be -2 - (-5)/(h/(-12)). Factor 11*g**2 + 3*g**2 + 2*g**3 + 128 + 10*g**t + 96*g.
2*(g + 4)**3
Factor -5/9*f**4 + 2/3*f**3 + 4/9*f**2 + 0 + 1/9*f**5 - 8/9*f.
f*(f - 2)**3*(f + 1)/9
Let n(g) = -g**3 + 2*g. Let x be n(-2). Let b = -133 + 403/3. Let 0 + 1/3*o**5 + 2*o**3 + 4/3*o**2 + b*o**x + 1/3*o = 0. What is o?
-1, 0
Let j(w) = -3*w**4 + w**3 + 5*w**2 + w - 4. Let z(o) = -7*o**4 + 2*o**3 + 9*o**2 + 3*o - 7. Let v(x) = 10*j(x) - 4*z(x). Find n, given that v(n) = 0.
-2, -1, 1, 3
Let d = 22291/11 + -2025. Solve -12/11*w + 12/11*w**3 - 18/11 + 2/11*w**4 + d*w**2 = 0 for w.
-3, -1, 1
Solve -4/9*t + 0 + 2/9*t**5 - 2/3*t**3 - 2/9*t**4 + 10/9*t**2 = 0.
-2, 0, 1
Factor -70*m**3 + 30*m**3 + 21*m**3 - 20*m**2 - 264*m + 23*m**3.
4*m*(m - 11)*(m + 6)
Let w be (5 - (176/20 - 4))/3. Let a(z) be the second derivative of 0 + 4*z + 2*z**2 - w*z**6 + z**3 - 1/6*z**4 - 3/10*z**5. Factor a(k).
-2*(k - 1)*(k + 1)**2*(k + 2)
Let s(g) = g**2 - 1. Let h(r) = -11*r**2 + 31*r - 148. Let q(n) = h(n) + 3*s(n). Let l(w) = -w**2 + w - 1. Let x(y) = -35*l(y) + 5*q(y). Factor x(j).
-5*(j - 12)**2
Let n be (10 - 10)/(1 - -1). Find z such that 10*z**2 + n - 8*z - 8*z + 4 + 2 = 0.
3/5, 1
Let q = 13 - 13. Let y be (-12)/(-7) - 16/(-56). Factor 2*a**2 + q*a + 0*a**2 - 4*a - 4*a**y.
-2*a*(a + 2)
Let k = -22553 + 157558/7. Let m = k - -45. Suppose 0 + 0*v - m*v**4 + 0*v**2 - 2/7*v**3 = 0. Calculate v.
-1, 0
Let u be (-70)/(-245)*(-1)/(-2). Factor 0*v + 1/7*v**2 - u.
(v - 1)*(v + 1)/7
Let p = -6 + 8. Let u = 208 - 134. Factor -3*c**2 - 4*c**4 + 12*c - c**p + 62*c**3 - u*c**3 + 8.
-4*(c - 1)*(c + 1)**2*(c + 2)
Factor 8*t**3 + 0 - 7/2*t**4 + t - 11/2*t**2.
-t*(t - 1)**2*(7*t - 2)/2
Let j(m) = 28*m**4 - 20*m**3 - 12*m**2 + 12*m. Let f(d) = -11*d**4 + 8*d**3 + 5*d**2 - 5*d. Let q(i) = -12*f(i) - 5*j(i). Factor q(t).
-4*t**3*(2*t - 1)
Let q be (-76)/(-10) + (98/441 - 130/18). Let u be (1/10)/((-2)/(-12)). Suppose 6/5 - q*g**2 - u*g = 0. Calculate g.
-2, 1
Factor 8/7*k - 1/7*k**2 - 12/7.
-(k - 6)*(k - 2)/7
Suppose -7 - 45 = -26*h. Let m(l) be the first derivative of 3 - 1/3*l**3 - l + l**h. Let m(j) = 0. What is j?
1
Let b be 4/30 - (-215)/75. Determine u so that b*u + 4*u**2 + 7*u + 4 - 2*u = 0.
-1
Let m be (-905)/(-525) + (3 - 4). Let s = -2/35 + m. What is o in s*o**2 + 4*o + 6 = 0?
-3
Let f(y) be the third derivative of -1/12*y**5 + 0*y**3 - 1/24*y**6 + 0*y + 5/24*y**4 + 0 + 27*y**2 + 1/42*y**7. Solve f(t) = 0 for t.
-1, 0, 1
Let f(m) = 16*m**4 - 19*m**3 - 30*m**2 + 5*m. Let z(o) = 57*o**4 - 66*o**3 - 105*o**2 + 18*o. Let v(n) = 18*f(n) - 5*z(n). Let v(r) = 0. What is r?
-1, 0, 5
Let b be (4 - 20/(-5))*(-4)/(-112). Let -10/7 + b*o**2 + 8/7*o = 0. What is o?
-5, 1
Let u(m) = 9*m**2 + 21*m - 20. Let p(z) be the second derivative of z**4/3 + 5*z**3/3 - 5*z**2 + 22*z. Let t(b) = 5*p(b) - 2*u(b). What is i in t(i) = 0?
-5, 1
Let y(j) be the second derivative of -j**4/4 - j**3 + 9*j**2/2 - 8*j + 5. Let y(l) = 0. Calculate l.
-3, 1
Let x = 1/4 + -3/20. Let s = x + 1/10. Factor 2/5*g + 1/5*g**2 + s.
(g + 1)**2/5
Let w(y) be the second derivative of -y**4/36 - y**3/3 + 7*y**2/6 - 34*y. Factor w(p).
-(p - 1)*(p + 7)/3
Let m(t) be the second derivative of t**6/120 + t**5/2 + 25*t**4/2 + 11*t**3/3 - 49*t. Let v(c) be the second derivative of m(c). Factor v(w).
3*(w + 10)**2
Solve -11*f**2 - 3*f - 58 + 9*f**2 - 37*f + 22*f + 18 = 0 for f.
-5, -4
Let k(g) be the first derivative of -5*g**8/168 + g**7/14 - g**5/12 - 13*g**2/2 - 13. Let c(h) be the second derivative of k(h). Let c(m) = 0. Calculate m.
-1/2, 0, 1
Let v(n) be the first derivative of -5*n**4/8 + 55*n**3/6 - 115*n**2/4 - 175*n/2 + 657. What is a in v(a) = 0?
-1, 5, 7
Let k(o) be the second derivative of o**5/30 + 5*o**4/84 - 2*o**3/21 + 3*o**2 + 16*o. Let a(t) be the first derivative of k(t). S