3*c - 15*c + 21 - 6*c - c + 15*c**2 + 3*c**l - 4*c = 0.
-7, 1
Let w(h) be the second derivative of h**6/540 - h**5/15 + 8*h**4/9 - 128*h**3/27 + 45*h**2/2 + 5*h + 6. Let a(y) be the first derivative of w(y). Factor a(q).
2*(q - 8)**2*(q - 2)/9
Let g(o) = 14*o**3 - 9*o**2 + 8*o + 23. Let k be g(7). Suppose 5*r**2 - k*r - 3*r**2 + 4438*r = 0. What is r?
0, 1
Let d(h) = 609*h + 147990. Let s be d(-243). Factor 6 + 1/3*y**4 - y**2 - 25/3*y + s*y**3.
(y - 1)**2*(y + 2)*(y + 9)/3
Factor 0 + 513/5*q - 1/5*q**2.
-q*(q - 513)/5
Let s = 491119 - 1473355/3. Let 4/3 + s*j**2 + 2*j = 0. Calculate j.
-2, -1
Let s(w) be the third derivative of w**5/30 - 95*w**4/12 - 194*w**3/3 - 241*w**2. Suppose s(v) = 0. Calculate v.
-2, 97
Suppose -96*k**3 + 410*k**2 - k**4 - 312*k - 4*k**4 - 5*k**4 + 5*k**4 + 3*k**4 = 0. Calculate k.
-52, 0, 1, 3
Let j(m) be the second derivative of 0 - 1/150*m**5 + 2/15*m**3 - 1/60*m**4 + 5*m**2 + 17*m. Let u(k) be the first derivative of j(k). Factor u(r).
-2*(r - 1)*(r + 2)/5
Let l(c) be the second derivative of -1/90*c**5 + 0*c**3 + 0 - 4/27*c**6 + 1/54*c**4 - 30*c + 0*c**2. Factor l(o).
-2*o**2*(4*o + 1)*(5*o - 1)/9
Let x(s) be the first derivative of -2*s**5/55 - s**4/2 - 16*s**3/33 + 20*s**2/11 - 1162. What is l in x(l) = 0?
-10, -2, 0, 1
Let l(z) be the second derivative of -z**5/60 - 11*z**4/24 - 103*z**3/36 + 5*z**2 + z - 1174. Factor l(m).
-(m + 5)*(m + 12)*(2*m - 1)/6
Let p(w) be the first derivative of 8*w**5/5 - 49*w**4/2 + 64*w**3 - 61*w**2 + 20*w - 3674. Let p(y) = 0. What is y?
1/4, 1, 10
Let p(l) be the third derivative of -l**6/120 + 13*l**5/5 - 51*l**4/8 - 155*l**3/3 - 62*l**2 - 2*l + 18. What is g in p(g) = 0?
-1, 2, 155
Let d(a) = a**2 + a + 38. Let t be d(-23). Let j = t - 1628/3. Factor 1/9*y**2 + 4 + j*y.
(y + 6)**2/9
Let m(i) be the second derivative of i**7/56 + 28*i**6/5 - 339*i**5/20 - 27*i - 54. Factor m(y).
3*y**3*(y - 2)*(y + 226)/4
Suppose 14*t + 543 - 457 = 57*t. Factor 0 + 2*d**3 - 40/9*d**t + 8/9*d.
2*d*(d - 2)*(9*d - 2)/9
Factor 346/11*p**2 + 0 + 0*p - 2/11*p**4 + 344/11*p**3.
-2*p**2*(p - 173)*(p + 1)/11
Let q(u) be the second derivative of -u**7/2940 + u**6/315 - u**5/105 - 55*u**4/12 + u - 3. Let g(j) be the third derivative of q(j). Solve g(c) = 0 for c.
2/3, 2
Let l(g) = -12*g**2 - 2574*g + 21. Let q(s) = 21*s**2 + 5149*s - 35. Let j(r) = 5*l(r) + 3*q(r). Let j(i) = 0. What is i?
-859, 0
Let w(v) = -10*v + 32. Let m be w(2). Find g, given that 857*g**3 + 16 - 5*g - 849*g**3 - 4*g**4 - 27*g + m*g**2 = 0.
-2, 1, 2
Let c(h) be the first derivative of -1/2*h**4 + 4*h**2 - 48/5*h - 8 + 2/25*h**5 + 4/15*h**3. Factor c(s).
2*(s - 3)*(s - 2)**2*(s + 2)/5
Let l(d) be the third derivative of d**5/160 - 15*d**4/2 + 3600*d**3 - 3*d**2 + 177*d. Factor l(q).
3*(q - 240)**2/8
Let j(c) = -5*c - 7. Let l be j(-12). Let m = -53 + l. Factor -20*z**5 + m*z**4 - 12*z**4 + 8*z**4.
-4*z**4*(5*z + 1)
Let q(z) be the first derivative of 2*z**6/3 + 268*z**5/5 + 1696*z**4 + 26208*z**3 + 194400*z**2 + 513216*z + 1312. Let q(i) = 0. What is i?
-18, -11, -2
Let h(f) = f**4 - 17*f**3 + 12*f**2 + 76*f - 188. Let t = -14 + 18. Let z(a) = -2*a**3 - a + 1. Let y(l) = t*z(l) - h(l). Let y(d) = 0. Calculate d.
-3, 4
Let i(x) be the first derivative of -x**6/2 - 60*x**5 - 3597*x**4/2 + 5100*x**3 - 7803*x**2/2 - 3127. Factor i(g).
-3*g*(g - 1)**2*(g + 51)**2
Suppose 0 = 2*z + 2*a - 14, 4*z - 5*a + 4 = -13. Let o be (-1)/(-10) + (-117087)/(-930). Let 16 + 46*d**2 - o*d**z - 40*d**3 - 16 - 5*d**4 = 0. Calculate d.
-4, 0
Let c(q) = -4*q**2 + 552*q + 12726. Let o(u) be the third derivative of -u**5/60 + 23*u**4/3 + 4241*u**3/6 - 96*u**2. Let j(g) = -6*c(g) + 20*o(g). Factor j(p).
4*(p + 46)**2
Suppose -852*n = -38*n - 1628. Find h such that -1/2*h + 2*h**4 + h**3 - 1/2*h**5 + n - 4*h**2 = 0.
-1, 1, 4
Let z(q) be the third derivative of 5/42*q**7 - q + 1/24*q**6 + 108*q**2 - 5/12*q**5 - 5/24*q**4 + 0*q**3 + 0. Determine g, given that z(g) = 0.
-1, -1/5, 0, 1
Suppose 5*f - 15 = -3*d, 5 = 17*f - 18*f + d. Let p(j) be the third derivative of 1/30*j**4 - 1/150*j**5 + f*j**3 + 0 + 4*j**2 + 0*j. Factor p(h).
-2*h*(h - 2)/5
Let x(g) = g**3 - 15*g**2 + 52*g - 11. Let y be x(10). Suppose -y*f + 37 = 10. Factor -12/5*t**2 + 12/5*t**f + 4/5*t + 0 - 4/5*t**4.
-4*t*(t - 1)**3/5
Let c = 7795/1156 + 2/289. Let f = 41/4 - c. What is j in -1/2*j**2 + f - 3*j = 0?
-7, 1
Let f(u) = 2*u + 5. Let c be f(1). Let x be (c/(-56))/((0 + -2)/4). Solve -3/4*j + x*j**2 + 1/4*j**4 + 3/4*j**3 - 1/2 = 0 for j.
-2, -1, 1
Let t = -196 + 53. Let b = t - -145. Factor -2/3*r**4 + 2/3*r - 2/3*r**3 + 0 + 2/3*r**b.
-2*r*(r - 1)*(r + 1)**2/3
Let t = -2 + 7. Let q(z) be the first derivative of z**3 - 23*z**2/2 - 93*z + 144. Let a(u) = -2*u**2 + 11*u + 46. Let c(l) = t*a(l) + 3*q(l). Factor c(b).
-(b + 7)**2
Let a(g) be the first derivative of -g**5/7 - 3*g**4/2 - 116*g**3/21 - 60*g**2/7 - 32*g/7 + 4145. Let a(v) = 0. Calculate v.
-4, -2, -2/5
Factor 163*t + 55*t**2 - 264 - 109*t**2 + 55*t**2 - 125*t.
(t - 6)*(t + 44)
Suppose 1167 = -4*b - 885. Let h = b - -513. Factor 26/11*u**4 + h - 10/11*u**5 + 4/11*u - 18/11*u**3 - 2/11*u**2.
-2*u*(u - 1)**3*(5*u + 2)/11
Let p(a) = -3*a**3 + 15*a**2 - 27*a + 64. Let q be p(4). Let l(k) be the first derivative of 1/20*k**q + 3/10*k**2 - 5 + 1/5*k**3 + 1/5*k. Factor l(u).
(u + 1)**3/5
Let k = 116409/2 - 58200. Solve 21/2*r - k - 3*r**2 = 0.
1/2, 3
Let v(b) = 6*b**2 - 4*b - 2. Let m(p) = 5*p**2 - 2*p - 3. Let a = 261 - 266. Let t(l) = a*m(l) + 4*v(l). Factor t(j).
-(j - 1)*(j + 7)
Let p(u) = 2*u**2 + 30*u + 12. Let c be p(-15). Factor -2*h + c*h**4 + 2*h**3 - 7*h**4 + 6*h**2 - 8*h**3 - 3*h**4.
2*h*(h - 1)**3
Let j(z) be the first derivative of 32 - 3/7*z - 1/7*z**4 + 4/7*z**3 + 1/14*z**2. Factor j(g).
-(g - 3)*(2*g - 1)*(2*g + 1)/7
Let v(i) be the first derivative of i**6/36 - 13*i**5/120 + i**4/8 - 5*i**3/3 - 7. Let z(j) be the third derivative of v(j). Let z(r) = 0. Calculate r.
3/10, 1
Let d(l) be the third derivative of -l**9/5040 + l**7/210 + l**4/6 + 5*l**3/6 - 94*l**2. Let g(z) be the second derivative of d(z). Factor g(f).
-3*f**2*(f - 2)*(f + 2)
Let 2*i**2 - 9 - 111*i**5 + 10*i - 118*i**5 - 14*i**3 + 7*i**4 + 5*i + 228*i**5 = 0. Calculate i.
-1, 1, 3
Suppose -1693*i**4 + 276*i**2 + 838*i**4 + 859*i**4 + 2704 + 2288*i - 88*i**3 = 0. What is i?
-2, 13
Let x be 1/3*(-5 - -10 - -1). Let c be 7/14*(-2 + x)/1. Factor -5/2*s**2 - 3*s**3 + 1/2*s + c.
-s*(s + 1)*(6*s - 1)/2
Let z be ((-2)/(-120))/((-15)/(-1365)) + (-66)/44. Let l(g) be the third derivative of g**2 + 5/72*g**4 + 0 + 0*g**3 + z*g**5 + 0*g. Factor l(k).
k*(3*k + 5)/3
Let i = 41 + -38. Factor 6*k - 2*k**i + 21 - 5 - 6 - 6.
-2*(k - 2)*(k + 1)**2
Let t(u) be the third derivative of u**5/140 + 8*u**4/7 + 510*u**3/7 + 4*u**2 + 8*u + 80. What is f in t(f) = 0?
-34, -30
Let u(q) = -280*q**3 + 365*q**2 + 380*q - 170. Let o(n) = -20*n**3 + 26*n**2 + 27*n - 12. Let g(s) = -85*o(s) + 6*u(s). What is p in g(p) = 0?
-1/2, 0, 3/2
Suppose -9*b + 63 + 315 = 0. Suppose 0 = 8*c - b - 518. Let -c*h**2 + 6 + 73*h**2 + h + 8*h = 0. Calculate h.
-2, -1
Suppose -56*x + 95*x = 15*x. Factor 7/2*g**2 + x + 1/2*g.
g*(7*g + 1)/2
Let m = -27790/13 - -83383/39. Solve 2/3 - m*h**2 + 1/3*h = 0 for h.
-1, 2
Solve 158/13 - 2/13*z**4 - 12*z**2 + 160/13*z**3 - 160/13*z = 0 for z.
-1, 1, 79
Factor 142*f**2 - 1004*f - 161147 - 2*f**2 + 161315.
4*(f - 7)*(35*f - 6)
Let l(q) be the second derivative of -q**6/150 + 83*q**5/100 - 547*q**4/60 + 383*q**3/10 - 342*q**2/5 + 3801*q. Factor l(z).
-(z - 76)*(z - 3)**2*(z - 1)/5
Factor -3337/4*c + c**3 - 371/2 - 1475/4*c**2.
(c - 371)*(c + 2)*(4*c + 1)/4
Let d be -5*(-21)/(-84)*(1/(-5))/((-2)/(-16)). Solve -112/3 - 4/3*s**d + 116/3*s = 0.
1, 28
Let u(t) be the third derivative of 4/735*t**7 + 0*t**4 - 32/35*t**5 - 16/105*t**6 + 1/588*t**8 - 119*t**2 + 0*t + 0 + 0*t**3. Factor u(c).
4*c**2*(c - 6)*(c + 4)**2/7
Suppose 148*x - 14 = -33 + 19. Let k(a) be the second derivative of -2/3*a**3 + x - 26*a + 0*a**2 - 1/6*a**4. Factor k(s).
-2*s*(s + 2)
Suppose -16 = 2*n - 4*z, -3*z - 120 + 135 = 0. Factor 1/4*f**4 + 3/4*f**n + f**3 + 0 + 0*f.
f**2*(f + 1)*(f + 3)/4
Let f = 10744 + -10741. Let l(q) be the second derivative of 0*q**2 + 5/12*q**4 + 2*q - 25/6*q**f + 0. Find s, given that l