*t**2 + 0 + 1/4*t**3 + 0*t - 1/40*t**5 - h*t**6. Find q such that d(q) = 0.
-4, -1, 1
Suppose -12*u = -30*u + 13*u + 15. Let d(j) be the first derivative of 2/3*j**u + 1/5*j**5 + 0*j + 3/4*j**4 + 27 + 0*j**2. Factor d(z).
z**2*(z + 1)*(z + 2)
Suppose -6 + 7 = g, -2*g = 4*o - 10. Let x(c) be the first derivative of 8*c - 1/2*c**4 + 0*c**o - 2*c**3 + 8. Let x(q) = 0. Calculate q.
-2, 1
Let -51 + 153*w**2 + 120*w + 27*w**4 + 25 - 198*w**5 + 62 + 93*w**3 + 201*w**5 = 0. Calculate w.
-3, -2, -1
Factor -207/7*m**3 + 1/7*m**4 + 614/7*m**2 - 408/7*m + 0.
m*(m - 204)*(m - 2)*(m - 1)/7
Let g(r) = -r**5 + r - 3. Let d(q) = 8*q**5 - 2*q**4 - 15*q**3 + 10*q**2 + 7*q + 7. Let w(t) = -d(t) - 5*g(t). Solve w(s) = 0.
-2, -1, 2/3, 1, 2
Suppose -2 = 4*y + 4*u + 6, -2*y + 11 = -u. Factor -3*m**y + 10*m**2 + 56 + 28 + 72*m - m**2.
-3*(m - 7)*(m + 2)**2
Let q(y) be the first derivative of -y**3/18 - 185*y**2/6 - 368*y/3 - 1408. Suppose q(d) = 0. Calculate d.
-368, -2
Let g be ((-86830)/(-171))/(-1) - (-1 - 3). Let s = g - -504. Solve -s*k**2 + 2/3*k - 4/9 = 0.
1, 2
Let g(n) be the first derivative of 3/2*n**4 - 3/2*n**2 - 3/5*n**5 + 2*n**3 - 3*n - 90 - 1/2*n**6. Suppose g(p) = 0. What is p?
-1, 1
Let t(m) = 13*m + 44. Let z be t(-3). Determine r, given that -3*r**4 - 40*r**2 + 2*r**z + 12*r + 36*r**3 - 4*r**4 - 7*r**4 + 4*r = 0.
0, 1, 2
Determine k, given that -49*k - 42*k - 3 + 28*k**2 + 3 - 173*k = 0.
0, 66/7
Let r(b) be the first derivative of -b**4/24 + 127*b**3/9 - 496*b**2/3 + 656*b + 11171. Factor r(t).
-(t - 246)*(t - 4)**2/6
Let 11/2*n**2 + 2*n - 11/2*n**4 + 0 - 2*n**3 = 0. What is n?
-1, -4/11, 0, 1
Let r(i) = 1454*i + 63978. Let a be r(-44). Suppose 32/11*l**4 + 156/11*l + 208/11*l**3 + 18/11 + 386/11*l**a = 0. Calculate l.
-3, -1/4
Suppose 2*v = -0*v - 2*t + 186, -4*t = 3*v - 284. Factor -3*h**2 - 3*h**5 - 3*h**2 - v*h + 6*h**4 + 91*h.
-3*h*(h - 1)**3*(h + 1)
Let o(w) = 1200*w**3 - 4953*w**2 + 483*w - 6. Let s(h) = 1200*h**3 - 4942*h**2 + 483*h - 8. Let j(v) = -2*o(v) + 3*s(v). Solve j(p) = 0 for p.
1/20, 4
Let y(k) be the first derivative of 1/3*k**6 + 216 + 2/5*k**5 + 36*k**2 + 0*k - 14*k**3 - 17/2*k**4. Suppose y(a) = 0. What is a?
-3, 0, 1, 4
Let z be (18 + -53)*(-3)/21. Let j(a) be the second derivative of 11*a - 8/3*a**3 + 0 - 8/5*a**2 - 23/15*a**4 - 7/25*a**z. Determine s so that j(s) = 0.
-2, -1, -2/7
Let j(p) be the second derivative of 10*p**7/21 + 44*p**6/15 - 22*p**5/5 - 32*p**4/3 + 34*p**3/3 + 20*p**2 - 5*p - 104. Solve j(x) = 0 for x.
-5, -1, -2/5, 1
Let q(x) = x**2 - x + 4. Let p(b) = -25*b**2 - 1500*b - 1595. Let m(y) = -p(y) - 20*q(y). What is l in m(l) = 0?
-303, -1
Let u = -766514 + 766517. Factor 23/3*y + 1/3*y**u - 1/3*y**4 + 10/3 + 5*y**2.
-(y - 5)*(y + 1)**2*(y + 2)/3
Let y(n) = 2*n**5 - n**3 + n**2 - 2*n + 1. Let w(c) = 5*c**5 - 21*c**4 - 19*c**3 + 25*c**2 + 10*c + 4. Let u(k) = -w(k) + 4*y(k). Solve u(h) = 0 for h.
-6, -1, 0, 1
Let q(c) be the third derivative of -15*c**2 - 5/4*c**4 + 0*c**3 + 1/30*c**5 + 0*c + 0. Find y, given that q(y) = 0.
0, 15
Let a = 3969 - 3963. Let g(l) be the first derivative of -40/3*l**4 - 32/3*l - 128/3*l**2 + 9 + 28/9*l**a + 142/15*l**5 - 560/9*l**3. Solve g(q) = 0.
-2, -2/7, -1/4, 2
Let w(q) be the second derivative of -q**6/90 - 2*q**5/5 + 13*q**4/6 + 7*q**3 - 2*q - 9. Let r(n) be the second derivative of w(n). Factor r(f).
-4*(f - 1)*(f + 13)
Let h(w) = -19*w**2 + 52*w - 9. Let a be h(6). Let t = a + 385. Factor 0*i - 12/5*i**3 + 0 + 4/5*i**5 + 0*i**t + 8/5*i**2.
4*i**2*(i - 1)**2*(i + 2)/5
Let f(r) be the first derivative of -2/5*r**4 + 9/10*r**3 - 3/10*r**2 + 30*r - 16. Let s(k) be the first derivative of f(k). Factor s(p).
-3*(p - 1)*(8*p - 1)/5
Factor 8/13 - 82/13*f**2 - 160/13*f.
-2*(f + 2)*(41*f - 2)/13
Let v(l) be the second derivative of 21*l**4/16 - 67*l**3/24 + l**2/2 + 407*l. Find h, given that v(h) = 0.
4/63, 1
Suppose 135*a + 15 = 136*a. Determine y so that -a*y**2 + 14*y - 2 - 3*y**2 - 6 + y**3 + 11*y**2 = 0.
1, 2, 4
Suppose -23*o + 30 = -38*o. Let u be o*(120/66 - 2). Solve -2/11*x**2 + u*x - 2/11 = 0 for x.
1
Let o(r) be the first derivative of r**3/3 - 4*r - 2. Let p be o(3). Factor p + 6*t**2 - 6 - 3*t**4 - 5 + 3.
-3*(t - 1)**2*(t + 1)**2
Let l(j) be the third derivative of j**9/90720 + j**8/15120 - j**7/2520 + 139*j**5/30 + 214*j**2. Let t(x) be the third derivative of l(x). Factor t(h).
2*h*(h - 1)*(h + 3)/3
Let y(g) = -5*g + 6. Let c be y(-2). Let f = -225 + 227. What is u in -10*u - u**4 + 6*u**4 + 5*u**2 - 4*u**f - c*u**2 = 0?
-1, 0, 2
Let g be (-91836)/(-450) - (-4)/(-50). Solve -62*d**3 - 414*d - 422*d**3 + 209*d + g*d + 44*d**2 = 0.
0, 1/22
Let d = 18462 - 55370/3. Let d*k**2 + 4/3*k**3 + 8/3 + 20/3*k = 0. Calculate k.
-2, -1
Suppose a + 45 = q + 44, q - 4*a = -2. Let m(x) be the first derivative of 5/3*x**3 + 30*x - 17 + 35/2*x**q. Factor m(c).
5*(c + 1)*(c + 6)
Let f = -392 - -498. Let g be f/12 - (-10 + (-26)/(-2)). Suppose -11/6*y**2 - 1/6*y**3 - g*y - 25/6 = 0. What is y?
-5, -1
Let d(f) be the second derivative of -1/35*f**5 + 34 - 1/105*f**6 + 1/7*f**2 + 2/21*f**3 + 0*f**4 + f. Suppose d(v) = 0. What is v?
-1, 1
Find r, given that -27 + 179*r - 63*r + 466*r**2 + 8*r**3 - 5 + 32 = 0.
-58, -1/4, 0
Solve -5/4*u**2 + 42 - 11/4*u = 0.
-7, 24/5
Let n(v) = -v**3 + 7*v**2 + 2*v - 12. Let s be (6 + (-2 - -3) + 0)/1. Let y be n(s). Factor 214*w - 107*w + 8 - 4*w**y - 103*w.
-4*(w - 2)*(w + 1)
Suppose -u + 11 = -s - 4*u, -3*s + 3*u = -15. Let h be 1*(-2)/2*(s - 5). Suppose 6*l**3 - 48*l**2 + h*l**5 + 16*l**4 - 2*l**3 - 12*l**3 + 36*l = 0. What is l?
-3, 0, 1
Factor 157 - 560*u**3 + 244*u**2 + 166 - 323 - 8*u.
-4*u*(5*u - 2)*(28*u - 1)
Let h = -26 + 31. Suppose -h*a + 67 = -53. Suppose a*z**3 + 24*z**3 - 16*z - 36*z**3 - 4*z**4 = 0. What is z?
-1, 0, 2
Let u(q) be the first derivative of 1/90*q**5 + 1/18*q**4 + 0*q**3 + 12 + 0*q + 2*q**2. Let o(s) be the second derivative of u(s). Factor o(l).
2*l*(l + 2)/3
Let q(f) be the first derivative of 4/39*f**3 + 4/13*f**2 + 1/78*f**4 - f - 12. Let k(h) be the first derivative of q(h). Factor k(m).
2*(m + 2)**2/13
Find v such that 419*v - 639 - v**2 + 481*v - 684*v = 0.
3, 213
Let y(l) be the second derivative of -l**5/12 - 35*l**4/24 - 25*l**3/3 - 143*l**2/2 - 123*l. Let b(q) be the first derivative of y(q). Factor b(n).
-5*(n + 2)*(n + 5)
Let b(m) be the third derivative of m**7/10080 + m**6/288 - 7*m**4/24 - 18*m**2 - 2. Let o(c) be the second derivative of b(c). Suppose o(d) = 0. What is d?
-10, 0
Let w = -643 + 352. Let d = w + 294. Factor -12/7*q**2 + 4/7*q**4 - 20/7*q - 8/7 + 4/7*q**d.
4*(q - 2)*(q + 1)**3/7
Let h = 30/4027 + 31826/52351. Factor 8/13*c - 2/13*c**2 - h.
-2*(c - 2)**2/13
Let t(j) = -7*j**4 - 6*j**3 - 3*j**2 - 2*j + 36. Let k(o) = 8*o**4 + 5*o**3 - o**2 + 3*o - 36. Let r(g) = -6*k(g) - 7*t(g). Factor r(u).
(u - 1)*(u + 2)**2*(u + 9)
Let j be ((-1)/(-25))/(509/25450). Factor -12/7*b - 2/7*b**j + 2.
-2*(b - 1)*(b + 7)/7
Let j be (23/(-18) + 1)*513/(-855). Let s(c) be the second derivative of -2/3*c**3 - j*c**4 + 3*c**2 + 7*c + 0. Factor s(w).
-2*(w - 1)*(w + 3)
Let a(q) be the third derivative of -q**6/2340 + q**5/130 + 10*q**3 - 51*q**2 - 2. Let g(v) be the first derivative of a(v). Factor g(z).
-2*z*(z - 6)/13
Let u(a) = 3*a**3 - 404*a**2 - 5*a + 45. Let p(t) = 6*t**3 - 810*t**2 - 9*t + 81. Let z(y) = -5*p(y) + 9*u(y). Factor z(l).
-3*l**2*(l - 138)
Let c(o) be the second derivative of o**10/90720 - o**9/22680 + o**8/20160 + 2*o**4/3 - 80*o. Let k(g) be the third derivative of c(g). Factor k(x).
x**3*(x - 1)**2/3
Let -2/15*o**3 + 0 + 8/5*o**2 - 14/3*o = 0. What is o?
0, 5, 7
Suppose -12*o**4 - 847252 - 1045456*o + 527*o**3 - 737264*o**2 - 3423*o**3 + 8*o**4 + 210200*o**2 + 325968 = 0. What is o?
-361, -1
Suppose 5*u + 3*c = -341 + 384, 2*u = -5*c + 21. Factor -u*o**2 - 48/7 - 100/7*o - 4/7*o**3.
-4*(o + 1)**2*(o + 12)/7
Let l(f) be the first derivative of -2*f**3/21 + 1360*f**2/7 - 924800*f/7 - 1986. Factor l(y).
-2*(y - 680)**2/7
Let q(s) be the second derivative of s**5/15 + 4*s**4/9 - 82*s**3/9 + 24*s**2 - 60*s - 3. Let q(k) = 0. What is k?
-9, 1, 4
Let b(w) = -36*w**2 - 99*w. Suppose 0 = 5*n + 15, -38 = 4*m - n - 101. Let h(x) = 5*x**2 + 14*x. Let f(t) = m*h(t) + 2*b(t). Factor f(g).
3*g*(g + 4)
Let i(t) 