e the second derivative of -3/4*o**2 + 0 - o - c*o**5 - 1/24*o**4 + 5/12*o**3. Suppose b(w) = 0. Calculate w.
-3, 1
Let f(l) be the third derivative of 0*l - 4/3*l**3 + 1/30*l**5 - 123*l**2 + 1/4*l**4 + 0. What is x in f(x) = 0?
-4, 1
Let q = 1969 + -103. Let h = q + -7459/4. Factor 0 + 1/4*z**5 - 1/2*z + h*z**2 - 3/4*z**3 - 1/4*z**4.
z*(z - 1)**3*(z + 2)/4
Let s(r) be the third derivative of -95*r - r**2 - 1/96*r**6 + 60835/3*r**3 - 2645/8*r**4 + 0 + 23/8*r**5. Factor s(a).
-5*(a - 46)**3/4
Let v(h) be the first derivative of -5*h**3/2 - 687*h**2/4 + 69*h + 248. Determine f, given that v(f) = 0.
-46, 1/5
Let c be 42/154 - 535/(-55). Suppose -5*w = -w + c*w. Factor 6*s**3 + 3*s + 15/2*s**2 + w + 3/2*s**4.
3*s*(s + 1)**2*(s + 2)/2
What is g in 0 + 405/4*g**3 + 0*g - 5/4*g**5 - 247/4*g**4 - 153/4*g**2 = 0?
-51, 0, 3/5, 1
Factor -75/2*l + 3/4*l**2 - 1197/4.
3*(l - 57)*(l + 7)/4
Let w(r) be the first derivative of -r**3/9 - 130*r**2/3 - 16900*r/3 - 2674. Factor w(g).
-(g + 130)**2/3
Let -174/11*d**3 - 694/11*d**2 - 514/11*d + 6/11 = 0. What is d?
-3, -1, 1/87
Suppose 106*x**3 - 76*x**2 - 980 + 107*x**3 - 422*x**3 + 106*x**3 - 476*x + 99*x**3 = 0. What is x?
-7, -5
Let u(q) = -238*q + 28563. Let y be u(120). Factor 3/2 + 5/2*a**2 - 1/2*a**y - 7/2*a.
-(a - 3)*(a - 1)**2/2
Suppose -64*i - 11073 + 11073 = 0. Let l(z) be the first derivative of 5/12*z**3 - 10 + i*z + 0*z**2. Factor l(j).
5*j**2/4
Let v be 9/945 + 0/(-29). Let w(p) be the third derivative of 1/30*p**6 + 30*p**2 + 0*p + p**3 - 2/15*p**5 + v*p**7 + 0 - 1/6*p**4. Factor w(t).
2*(t - 1)**2*(t + 1)*(t + 3)
Suppose 92*x - 58*x = 0. Let u(q) be the second derivative of 1/10*q**3 + 0 - 1/60*q**4 + x*q**2 - 13*q. Determine a, given that u(a) = 0.
0, 3
Let s = -24 + 35. Suppose -i - 2*d + s = 0, 2*i + 3*d = 8 + 10. Find l such that -4*l**i - 11*l**3 - 11*l**3 - 5*l**2 + 5*l + 21*l**3 + 5 = 0.
-1, 1
Suppose 159 = 5*v + 144. Determine z so that -80*z**3 + z**5 - 10*z**4 + 160*z**v - 18*z**2 + 28*z**4 - 81*z = 0.
-9, -1, 0, 1
Let 5578*j**2 + 700*j + 3*j**5 + j**5 - 704*j**3 - 8706*j**2 + 1378 - 8*j**4 + 1758 = 0. What is j?
-7, -1, 1, 16
Suppose -136 = 3*t + 4*b, -3*t + 5*b = t + 233. Let s = t - -62. Factor 4*g**3 + 9*g**2 - g**3 + 0*g - 27*g + s + 5.
3*(g - 1)**2*(g + 5)
Let m(z) = 6*z**2 + 16*z + 38. Let a = -20 + 23. Let d(j) = -2*j**2 - 6*j - 13. Let y(u) = a*m(u) + 10*d(u). Determine x, given that y(x) = 0.
-4, -2
Let p(v) be the third derivative of 1/30*v**6 + 1/2*v**4 + 0*v + 41*v**2 - 1/5*v**5 + 0 - 2/3*v**3. Determine n, given that p(n) = 0.
1
Let x(s) be the third derivative of -s**6/30 - 53*s**5/3 + 37*s**2 + s. What is b in x(b) = 0?
-265, 0
Let k(h) be the second derivative of -1/3*h**4 + 0 + 1/12*h**5 + 7/2*h**2 + 29*h + 1/2*h**3. Let p(v) be the first derivative of k(v). What is u in p(u) = 0?
3/5, 1
Let n(j) be the third derivative of j**6/120 + 53*j**5/50 + 208*j**4/5 - 1024*j**3/15 - 443*j**2. Factor n(l).
(l + 32)**2*(5*l - 2)/5
Factor 21*p**4 + 4*p**4 - 96*p**3 + 80*p**2 - 148 + 148 - 4*p**5 + 11*p**4.
-4*p**2*(p - 5)*(p - 2)**2
Let d(g) be the second derivative of -26/33*g**3 - 56/11*g**2 - 1/110*g**5 + 189*g + 29/66*g**4 + 0. Determine t so that d(t) = 0.
-1, 2, 28
Let p(z) = z**2 - 36*z - 292. Let g be p(42). Let w be (-20*(-16)/g)/((-39)/6). Factor -w - 14/13*a + 2/13*a**2.
2*(a - 8)*(a + 1)/13
Let q(b) be the first derivative of 245*b**4/4 - 10*b**3/3 - 245*b**2/2 + 10*b - 241. Determine j, given that q(j) = 0.
-1, 2/49, 1
Suppose -5*f - 5 = -4*d, -f + 13 = -d + 3*d. Let o(n) = n**2 - 2*n - 1. Let r(s) = 178*s**2 - 179*s**2 + 2 - 2*s + 4*s. Let y(x) = f*o(x) + 2*r(x). Factor y(a).
(a - 1)**2
Let m be (0 - -1)*(1 + 1). Suppose -4*a - 9 + 50 = -3*n, 0 = -m*n - 6. Factor -17 + 35 - 12 + 2*r**2 + a*r.
2*(r + 1)*(r + 3)
Let x(q) be the third derivative of q**6/75 + 197*q**5/150 + 85*q**4/12 + 94*q**3/15 + 26*q**2 - 3*q - 1. Determine r so that x(r) = 0.
-47, -2, -1/4
Let m(a) be the third derivative of a**8/504 + 5*a**7/63 + 83*a**6/60 + 247*a**5/18 + 1525*a**4/18 + 1000*a**3/3 + 65*a**2 - 14. Factor m(h).
2*(h + 4)*(h + 5)**3*(h + 6)/3
Let f(w) = -2*w**3 - w**2 + w. Let j(a) = 676*a**2 - 685*a**2 - a**3 + 3*a + 5*a. Let p(k) = 3*f(k) - 3*j(k). Suppose p(r) = 0. What is r?
0, 1, 7
Factor 473*q + 1813 - 3*q**2 + 176 + 512*q - 211*q - 120*q.
-3*(q - 221)*(q + 3)
Let d be -3 - 2*25/(-10). Suppose t = -0*t + d. Factor -5*g**3 + 5*g**t + 2*g**3 + 0*g**3 - 2*g**3.
-5*g**2*(g - 1)
Let -2025 - 2*z**3 - 11*z**2 - 78*z - 28*z**2 + 3*z**3 + 488*z + 85*z = 0. Calculate z.
9, 15
Let z be ((-12)/(-10))/(54/(-180)) + 35. Let 14*x - z + 19 + 98*x**2 + 0*x = 0. What is x?
-3/7, 2/7
Let c(y) be the second derivative of -9*y**6/5 + 66*y**5 - 434*y**4/9 + 32*y**3/3 - 128*y. Find j, given that c(j) = 0.
0, 2/9, 24
Let i be (-278)/280 + 1 - 649/(-4543). Let s(o) be the first derivative of -33 - 1/5*o**3 - i*o**4 + 9/5*o**2 + 0*o. Solve s(x) = 0.
-3, 0, 2
Let i(q) be the second derivative of -10/3*q**4 - 45/2*q**2 - q + 1/6*q**6 + 15*q**3 - 1/2*q**5 + 0. Factor i(f).
5*(f - 3)*(f - 1)**2*(f + 3)
Let g(q) be the second derivative of 25 + 3*q + 0*q**2 + 9/70*q**5 - 5/14*q**4 + 1/3*q**3 - 1/105*q**6. Determine p so that g(p) = 0.
0, 1, 7
Let p(x) = x**3 - x**2 - x + 1. Let j be p(2). Let s(d) = 28*d + 30. Let h be s(-1). Factor 10/7*n**h + 2*n + 6/7 + 2/7*n**j.
2*(n + 1)**2*(n + 3)/7
Suppose 23*w - 19*w = 16. Let m(n) = -9*n**3 + 4*n**2 + 11*n - 6. Let p(i) = -i**3 + i**2 - i + 1. Let x(y) = w*p(y) - m(y). Factor x(a).
5*(a - 1)**2*(a + 2)
Let a(u) be the second derivative of -2 - 5*u + 0*u**2 + 1/10*u**3 + 1/20*u**4. Solve a(l) = 0.
-1, 0
Factor 378*j + 39*j**2 - 5*j**3 + 31*j**2 + 86*j + 311*j - 840.
-5*(j - 21)*(j - 1)*(j + 8)
Let j(t) be the third derivative of -t**7/2520 - t**6/160 + t**5/20 - 2*t**2 - 4*t - 11. Factor j(h).
-h**2*(h - 3)*(h + 12)/12
Let k = 25199/2 + -12599. Let r(z) be the third derivative of -1/30*z**5 + 28*z**2 + 0*z - k*z**4 - 3*z**3 + 0. Determine f, given that r(f) = 0.
-3
Let t be 52 + (-16 - (-4016)/(-112)). Factor -31/7*s**2 - 225/7 + 255/7*s + t*s**3.
(s - 15)**2*(s - 1)/7
Let k = -310 + 315. Let g(p) be the first derivative of -p**3 + 0*p + 3 + 9/8*p**6 + 0*p**2 - 63/20*p**k + 3*p**4. Factor g(y).
3*y**2*(y - 1)*(3*y - 2)**2/4
Let a = -36 - -39. Factor 42 - 3*d - 48 + 0*d**2 - 6*d - a*d**2.
-3*(d + 1)*(d + 2)
Factor -10*w**2 + 14*w**2 - 2*w + 48*w + 524 + 323*w + 159*w.
4*(w + 1)*(w + 131)
Factor -2*r**3 - 23*r - 7*r + 8033*r**2 - 8001*r**2.
-2*r*(r - 15)*(r - 1)
Let z(r) be the third derivative of -16/39*r**3 + 0*r - 1/78*r**5 - 11/78*r**4 - 17*r**2 + 1 + 1/780*r**6. Determine y so that z(y) = 0.
-2, -1, 8
Suppose 37 = 2*m - 7. Suppose y = -m + 60. Suppose -y*p**2 - 47*p**2 - 3*p**4 + 88*p**2 = 0. What is p?
-1, 0, 1
Suppose 5*d = -18 + 18. Factor d*q**2 + 9*q**2 - 20 - 18*q**2 + 10*q**2 + q.
(q - 4)*(q + 5)
Let d(x) be the first derivative of x**4/12 - 188*x**3/9 + 3007*x**2/2 - 5766*x - 1134. Let d(u) = 0. What is u?
2, 93
Suppose 2*k - 10 = 0, 2*d - 3*d = 2*k - 402. Let v be d/168*2/7. Suppose -2/9*f**3 + 4/9 + 0*f**2 + v*f = 0. What is f?
-1, 2
Let f(o) be the first derivative of -1/4*o**3 + 15/8*o**2 + 21/2*o - 101. Factor f(r).
-3*(r - 7)*(r + 2)/4
Solve -3*h**5 + 62353*h - 62353*h + 51*h**3 + 152*h**4 = 0.
-1/3, 0, 51
Suppose 0 = -7*y - 2418 + 9201. Let -6*v + 36*v + 0*v**2 + y - 997 - 2*v**2 = 0. Calculate v.
1, 14
Let g(y) be the third derivative of -y**7/1260 - 41*y**6/180 - 1681*y**5/60 - 77*y**4/24 - 19*y**2. Let o(z) be the second derivative of g(z). Factor o(m).
-2*(m + 41)**2
Let s be (-3)/(((-1)/105)/(31/9)). Let g = s - 1085. Factor g + 2/9*n**2 - n**5 + 0*n - 16/9*n**4 - 5/9*n**3.
-n**2*(n + 1)**2*(9*n - 2)/9
Let z(t) be the first derivative of -5*t**4/4 - 80*t**3/3 + 1055*t**2/2 - 1750*t + 486. What is m in z(m) = 0?
-25, 2, 7
Let w(v) be the first derivative of v**6/2 - 12*v**5/5 - 3*v**4 + 22*v**3 + 9*v**2/2 - 54*v - 1006. Let w(b) = 0. What is b?
-2, -1, 1, 3
Let f(j) be the second derivative of -j**5/30 + j**4/9 + 31*j**3/9 + 28*j**2/3 - 130*j + 1. Factor f(h).
-2*(h - 7)*(h + 1)*(h + 4)/3
Let k = -671 + 539. Let g be k/(-21) + -2 - 24/(-84). Factor 34/7*i**3 + 0 + g*i**5 + 0*i - 4/7*i**2 - 80/7*i**4.
2*i**2*(i - 2)*(4*i - 1)**2/7
Suppose 24 