3*m**2 + 106*m.
(m + 36)*(3*m - 2)
Let m(d) be the second derivative of -1/36*d**4 + 0 - 3/2*d**3 - 1/90*d**5 - 1/540*d**6 + 0*d**2 - 8*d. Let g(a) be the second derivative of m(a). Factor g(v).
-2*(v + 1)**2/3
Let p(c) = -9*c**4 - 28*c**3 - 55*c**2 - 36*c. Let z(d) = -28*d**4 - 84*d**3 - 164*d**2 - 108*d. Let n(r) = 16*p(r) - 5*z(r). Factor n(h).
-4*h*(h + 1)*(h + 3)**2
Find t, given that -14415*t + 493*t**2 - 48*t**3 + 43*t**3 - 28*t**2 + 148955 = 0.
31
Suppose 0 = 16*u - 51 + 85 - 82. Determine t, given that -17*t**4 - 2*t + 8*t**2 + 1/2*t**u + 0 + 21/2*t**5 = 0.
-2/3, 0, 2/7, 1
Let i(p) be the second derivative of p**6/300 - p**5/25 + p**4/5 - 8*p**3/15 + 19*p**2/2 - p. Let m(c) be the first derivative of i(c). Factor m(o).
2*(o - 2)**3/5
Let c be 2 - (44/(-154))/(6/(-28)). Factor c*v + 1 - 1/3*v**2.
-(v - 3)*(v + 1)/3
Let s(z) = 3*z**3 + 2*z**2 - 3*z - 3. Let g be s(2). Solve -g*w**2 + 0*w**3 - 5*w**3 - 7*w**2 = 0 for w.
-6, 0
Let q be 17 - 14 - (1 - -1). Let i = q + 12. Factor 4*j + i*j**2 - 2 + 13*j**2 - 20*j**2.
2*(j + 1)*(3*j - 1)
Suppose -38*q + 3*y = -41*q - 15, -44 = -q + 6*y. Factor 0 + 0*d + 2/11*d**4 + 4/11*d**3 + 2/11*d**q.
2*d**2*(d + 1)**2/11
Let q = 2 + -7. Let w(n) = -13*n**2 - 9*n + 1. Suppose y + 1 = 2*c - 6, c = 3*y + 6. Let b(t) = -25*t**2 - 18*t + 1. Let x(k) = c*b(k) + q*w(k). Solve x(f) = 0.
-1/2, -2/5
Solve 3*d**4 + 336*d**3 + 3*d + 18 - 21*d**2 - 170*d**3 - 169*d**3 = 0.
-2, -1, 1, 3
Let p(f) be the first derivative of -f**6/15 - 11*f**5/70 + f**4/7 + 8*f + 16. Let g(l) be the first derivative of p(l). Determine u, given that g(u) = 0.
-2, 0, 3/7
Let y(t) be the third derivative of t**6/105 + t**5/30 - t**4/42 + 14*t**2 + 1. Factor y(d).
2*d*(d + 2)*(4*d - 1)/7
Let y(s) = s. Let d(u) = 26*u**2 - 89*u + 84. Let w(f) = d(f) - 5*y(f). Let n(j) = 5*j**2 - 19*j + 17. Let q(x) = 16*n(x) - 3*w(x). Factor q(t).
2*(t - 10)*(t - 1)
Let v(f) = -f - 15. Let x be v(-18). Let -145*b**4 + 0*b - 4*b + 161*b**4 - 36*b**x + 24*b**2 = 0. What is b?
0, 1/4, 1
Let c(w) = w**3 - 5*w**2 - 3*w - 14. Let g be c(6). Suppose -2*p = -2 - g. Factor -3/4*u**2 + 3*u - 2*u**p + 3/4*u**4 + 1.
(u - 2)**2*(u + 1)*(3*u + 1)/4
Let j(v) be the third derivative of 0 + 0*v**4 - 1/12*v**5 + 1/24*v**6 - 5/336*v**8 + 1/42*v**7 + 0*v**3 + 0*v - 4*v**2. Determine g, given that j(g) = 0.
-1, 0, 1
Let l be (-1*135/(-55) - 3)/(54/(-297)). What is o in -3*o**2 - 1/3*o**l - 5*o + 25/3 = 0?
-5, 1
Suppose -15 = -7*u + 2*u. Let w(l) be the first derivative of 7 + 5*l**3 - 2*l**3 - 3*l**u - l**3 + 3*l. Factor w(q).
-3*(q - 1)*(q + 1)
Suppose -18 = k + 4*y, 2*k + y - 2 = -3. Let m(v) = k*v - v + 0 - 1. Let g(b) = b**2 + b + 7. Let j(z) = -g(z) - 3*m(z). Factor j(o).
-(o + 2)**2
Let 288*d + 23 + 12*d**2 - 572*d**3 + 216 + 465 + 568*d**3 = 0. Calculate d.
-4, 11
Let t be (-2 + -1)*(-6 - -3). Suppose 4*b - 5*y = 39 - 7, -3*y = b + t. Factor -1/2*k**4 + 0 - 1/2*k**2 + 0*k - k**b.
-k**2*(k + 1)**2/2
Suppose z - 2 = -4, -2*z = -4*b + 16. Factor -k**b - 656*k**2 + k**4 + 656*k**2.
k**3*(k - 1)
Let m(t) be the third derivative of 0*t + 1/84*t**8 + 2 - 2/15*t**5 + 0*t**6 + 0*t**3 - 11*t**2 - 1/6*t**4 + 4/105*t**7. Factor m(u).
4*u*(u - 1)*(u + 1)**3
Let v(r) be the first derivative of -4*r**3/21 - 6*r**2/7 - 151. Factor v(l).
-4*l*(l + 3)/7
Find v, given that -20/9*v**5 + 8/3 - 320/9*v**3 - 19/3*v**2 + 106/9*v + 89/3*v**4 = 0.
-2/5, -1/4, 1, 12
Let a(f) be the second derivative of -3*f**5/40 + f**4/4 + 3*f**3/4 - 3*f - 5. Suppose a(v) = 0. What is v?
-1, 0, 3
Suppose 5*b + 2*b = 28. What is v in -6 - 4*v**3 + 16*v - 3*v**b + 11*v**2 - 6 + 25 - 9 = 0?
-2, -1, -1/3, 2
Let r = -15137/11 + 1377. Let i be 17 + (-6 - 13) + 6. Find g such that -6/11*g**i + 4/11*g + 0 + r*g**5 - 14/11*g**3 + 6/11*g**2 = 0.
-1, -2/5, 0, 1
Let a(u) = -17*u**2 - 50*u + 147. Let r(l) = 8*l**2 + 25*l - 73. Let b(t) = -3*a(t) - 7*r(t). Let b(n) = 0. Calculate n.
-7, 2
Let 6*v**4 - 11*v**3 - 2*v**5 + 12*v**3 - 3*v**3 + 4*v - 6*v**2 = 0. What is v?
-1, 0, 1, 2
Let a = -12853 - -12855. Determine s so that 2/15*s**3 - 2/5 - 2/3*s - 2/15*s**a = 0.
-1, 3
Solve 0 + 1/9*m**2 + 23/9*m = 0 for m.
-23, 0
Factor 0 + 1/3*t**3 + 1/6*t**2 + 0*t + 1/6*t**4.
t**2*(t + 1)**2/6
Let r(u) = -5*u**3 + u**2 - 1. Let q be r(-1). Suppose -y = -k + 4*y - 14, 11 = -k + 4*y. Determine s, given that q*s**2 + 12*s + 1 - k + 4 = 0.
-2, -2/5
Find k such that -12*k**2 + 21*k**3 + 25*k**2 - 3*k**5 - k**2 + 6*k**4 = 0.
-1, 0, 4
Let z(u) be the second derivative of -11*u**6/45 - 2*u**5/5 - u**4/18 + u + 10. Factor z(j).
-2*j**2*(j + 1)*(11*j + 1)/3
Let 129*m - 505 + 26*m + 132*m + 213*m + 5*m**2 = 0. What is m?
-101, 1
Let b(h) = 1. Let i(w) = -w**3 - 4*w**2 - 5*w - 5. Let l(q) = q**2 - 7*q - 1. Let x be l(7). Let k(t) = x*i(t) - 3*b(t). Solve k(r) = 0.
-2, -1
Let q = -378/5 + 384/5. Factor -q*g - 2/5*g**3 - 2/5 - 6/5*g**2.
-2*(g + 1)**3/5
Let i(b) be the third derivative of 7*b**5/45 - 97*b**4/9 - 112*b**3/9 + 96*b**2. Let i(s) = 0. What is s?
-2/7, 28
Let o(c) be the third derivative of c**8/2688 - c**6/240 - c**5/240 + c**4/64 + c**3/24 - 3*c**2 - 10. Factor o(m).
(m - 2)*(m - 1)*(m + 1)**3/8
Let u = 11/129 + 107/258. Suppose 0 = 7*d - 3*d. Suppose u*r**2 + 0*r**3 + d*r - 1/2*r**4 + 0 = 0. Calculate r.
-1, 0, 1
Determine c, given that -108/7 - 3/7*c**3 - 120/7*c - 39/7*c**2 = 0.
-9, -2
Let j = 20 - 32. Let b be 120/28 + j/3. Factor 4/7*i**3 + 0 + 0*i - b*i**2 - 2/7*i**4.
-2*i**2*(i - 1)**2/7
Let s(d) be the second derivative of 3*d**5/20 - 19*d**4 + 149*d**3/2 - 111*d**2 + 9*d + 25. Factor s(n).
3*(n - 74)*(n - 1)**2
Suppose 8*m - 12 = 5*m. Factor q**5 + m*q**3 + 6*q**3 - 3*q**5 - 8*q**3 + 2*q**4 - 2*q**2.
-2*q**2*(q - 1)**2*(q + 1)
Let j(a) be the second derivative of -18*a - 5/42*a**7 - 1/6*a**6 + 0 + 5/6*a**4 - 5/6*a**3 - 5/2*a**2 + 1/2*a**5. Factor j(w).
-5*(w - 1)**2*(w + 1)**3
Let d(b) = 13*b**2 - 29*b + 21. Let s be 30/4*(0 + (-2)/3). Let u(g) = -19*g**2 + 43*g - 31. Let y(x) = s*u(x) - 7*d(x). Factor y(a).
4*(a - 2)*(a - 1)
Suppose -3*u - 2*y = -82, -2*u + 3*u - 23 = -5*y. Factor 12*g**2 + 29*g + 2 - 7*g**2 + u - 4*g.
5*(g + 2)*(g + 3)
Let t(g) = 29*g - 377. Let b be t(13). Factor b - 9/5*r**2 + 6/5*r.
-3*r*(3*r - 2)/5
Let p(m) be the first derivative of -m**7/63 - m**6/45 + m**5/30 + m**4/18 + 10*m - 18. Let a(z) be the first derivative of p(z). Factor a(v).
-2*v**2*(v - 1)*(v + 1)**2/3
Let j(r) be the third derivative of -r**8/231 + r**7/165 + 49*r**6/660 - 13*r**5/165 - 17*r**4/33 - 8*r**3/33 - 203*r**2 - 3. Suppose j(v) = 0. Calculate v.
-2, -1, -1/8, 2
Let d(j) be the third derivative of j**6/120 - 3*j**5/40 + 16*j**3/3 + 28*j**2. Let b(m) be the first derivative of d(m). Find k such that b(k) = 0.
0, 3
Let a be (-1)/(4/(-14) - 9/(-42)). Solve 0*f**2 - 5*f + 3*f**2 + a*f = 0.
-3, 0
Let f be (-2 - 4*-2) + -4. Suppose 20*n**4 - 28*n**4 - 4*n**5 + 0*n**f + 0*n**2 = 0. What is n?
-2, 0
Let n = -743/4 + 186. Let y(m) be the first derivative of -1/4*m**3 + 3/20*m**5 + 0*m + n*m**2 - 9 - 7/16*m**4 + 5/24*m**6. Let y(a) = 0. Calculate a.
-1, 0, 2/5, 1
Let v(p) be the second derivative of -59*p**7/273 + 238*p**6/195 - 181*p**5/65 + 124*p**4/39 - 67*p**3/39 + 2*p**2/13 - 754*p. Determine g so that v(g) = 0.
2/59, 1
Suppose i - 5*j = -18, 0 = 2*i - 0*i - 3*j + 8. Let -4 + 2*b**2 + b**2 - 2*b**2 + 16*b**3 - 16*b + 3*b**i = 0. Calculate b.
-1, -1/4, 1
Let m be 6/(-3)*(-3)/6. Let z be 4 + 1*(-2)/m. Factor -2*y**2 + 12*y + 2*y**2 - 5*y**2 + 2*y**z - 9.
-3*(y - 3)*(y - 1)
Determine z so that 10*z**4 - 35*z**3 - 6615*z + 6615*z + 5*z**5 + 20*z**2 = 0.
-4, 0, 1
Let o be 2/14 + ((-183)/732)/(14/(-160)). Factor 1/6*q**4 + 1/6*q**5 + 1/3*q - 1/2*q**o + 0 - 1/6*q**2.
q*(q - 1)**2*(q + 1)*(q + 2)/6
Let y = -47 - -50. Determine d so that y*d**2 + d - 2*d + 2*d + 5*d = 0.
-2, 0
What is a in 5/2*a**5 + 635*a**3 + 1125/2 - 485*a**2 - 1275/2*a - 155/2*a**4 = 0?
-1, 1, 15
Let c(s) be the third derivative of -s**7/42 - 9*s**6/8 - 25*s**5/4 - 365*s**4/24 - 20*s**3 - 64*s**2 + 2*s. Suppose c(d) = 0. Calculate d.
-24, -1
Suppose 9*d = -2*y + 8*d + 4, y + d = 0. What is p in -176/3*p - 308/3*p**3 - 98/3*p**y - 32/3 - 118*p**2 = 0?
-1, -4/7
Let b(q) be the second derivative of -q**5/6 + 3*q**4/2 - 10*q**3/3 + 8*q**2/3 + 5*q - 23. Let b(f) = 0. What is f?
2/