*c**2 - 60*c - 40. Let n(z) = z**2 - z - 1. Let q(f) = t*n(f) - x(f). Determine k so that q(k) = 0.
-1, -2/9, 2/7
Let s be 19/95 + 179/5. Find d such that s*d + 5*d**4 - 30*d**3 + 45*d**3 - 6*d**5 + 11*d**4 - 84*d**2 + 5*d**4 = 0.
-2, 0, 1/2, 2, 3
Suppose -12/7*d**2 + 2/7*d**3 - 62/7*d + 72/7 = 0. What is d?
-4, 1, 9
Suppose -61180020*c**2 + 174097*c + 7926211480*c**3 - 62493*c + 45806*c - 135 = 0. Calculate c.
3/1166
Let i(t) be the second derivative of -t**6/72 + 5*t**5/8 - 65*t**4/12 + 77*t**3/6 + 20*t. Let p(r) be the second derivative of i(r). Factor p(n).
-5*(n - 13)*(n - 2)
Let o(n) be the first derivative of 2*n**5/15 - n**4 + 16*n**3/9 + 2*n**2 - 6*n - 1138. Factor o(w).
2*(w - 3)**2*(w - 1)*(w + 1)/3
Let w be 2198/7065*(-18)/(-21). Let l(m) be the second derivative of -1/14*m**7 - 4*m + 5 + 0*m**4 + 3/20*m**5 + w*m**6 + 0*m**3 + 0*m**2. Factor l(o).
-o**3*(o - 3)*(3*o + 1)
Let t(j) = -5*j**3 - 30*j**2 - 60*j - 45. Let d = 64 + -69. Let q(h) = 5*h**3 + 29*h**2 + 58*h + 46. Let f(v) = d*q(v) - 6*t(v). Determine s so that f(s) = 0.
-4, -2, -1
Let d(o) be the first derivative of -o**3/3 - 15*o**2/2 + 1423. Factor d(i).
-i*(i + 15)
Let a(p) be the first derivative of p**6/18 + p**5/5 - 11*p**4/12 - 17*p**3/3 - 31*p**2/3 - 8*p - 2384. Let a(i) = 0. What is i?
-3, -2, -1, 4
Let q = -5392 - -5403. Let x(m) be the first derivative of m**4 + 4/3*m**3 - q - 2*m**2 - 4/5*m**5 + 0*m. Factor x(l).
-4*l*(l - 1)**2*(l + 1)
Let w(b) be the third derivative of -b**7/420 - b**6/180 + b**5/12 - b**4/4 + 10*b**3/3 + 2*b**2 - 19. Let c(i) be the first derivative of w(i). Factor c(h).
-2*(h - 1)**2*(h + 3)
Suppose 7 + 19 = 2*r. Let n(h) = -3*h**3 + 12*h**2 - 15*h - 6. Let m(f) = -5*f**3 + 22*f**2 - 31*f - 12. Let c(w) = r*n(w) - 6*m(w). Factor c(u).
-3*(u - 2)*(u - 1)*(3*u + 1)
Let i = -363597/7 + 52440. Let d = i - 497. Factor 0*m**4 - 8/7*m**3 + 6/7*m + d + 2/7*m**5 - 4/7*m**2.
2*(m - 2)*(m - 1)*(m + 1)**3/7
Let d(k) be the second derivative of -k**6/80 - 9*k**5/10 - 741*k**4/32 - 1805*k**3/8 + 5*k - 52. Factor d(w).
-3*w*(w + 10)*(w + 19)**2/8
Let v = -28920 - -28923. Let 3/7*h**v + 108/7*h**2 + 0 + 0*h = 0. What is h?
-36, 0
Factor -27/2*z + 3/8*z**3 + 1/8*z**5 + 23/4*z**2 - 3/4*z**4 + 9.
(z - 3)*(z - 2)**3*(z + 3)/8
Let g(q) = -q**2 + q - 1. Let t(a) be the third derivative of a**5/10 - 5*a**4/8 + 9*a**3/2 + 138*a**2. Let c(w) = 14*g(w) + 2*t(w). Factor c(z).
-2*(z - 2)*(z + 10)
Factor -2/21*w**3 - 12/7*w**2 + 122/21*w - 4.
-2*(w - 2)*(w - 1)*(w + 21)/21
Let v(u) be the third derivative of u**8/336 + u**7/10 + u**6 + 52*u**5/15 - 805*u**2 - 2*u. Let v(a) = 0. What is a?
-13, -4, 0
Let m(y) be the first derivative of -281 - 5*y + 17/4*y**2 - 2*y**4 - 1/12*y**6 + 4/5*y**5 + 1/3*y**3. Solve m(k) = 0.
-1, 1, 2, 5
What is j in -3/5*j**2 + 165 - 42/5*j = 0?
-25, 11
Suppose 7*f**2 - 8712 - 1119*f + 459*f - 140*f**2 - 3*f**3 + 131*f**2 + 116*f**2 = 0. What is f?
-6, 22
Let z = 110 + -105. Suppose 6 = -2*n - 2*g, -2*g + z*g = 2*n - 19. Find o such that 0*o**2 + 2*o**2 - 12 + 8*o + n*o**2 = 0.
-3, 1
Let c(h) = 1. Let k(r) = -15*r**3 - 55*r**2 - 60*r - 24. Suppose -1 = -2*s - 3*j, -2*j + 19 = -s + 3*j. Let p(d) = s*c(d) - k(d). Find u, given that p(u) = 0.
-2, -1, -2/3
Let j(d) be the first derivative of -d + 1/20*d**4 - 1/10*d**2 + 1/3*d**3 + 71. Suppose j(y) = 0. What is y?
-5, -1, 1
Let a = -175 - -180. What is m in 89*m**4 + a*m**5 - 5*m**2 - m**3 + 2*m**2 - 82*m**4 = 0?
-1, 0, 3/5
Factor 137*k + 1648*k + 12*k**2 - 266 - 122 - 59.
3*(k + 149)*(4*k - 1)
Let g be 1048221/675 + (-4)/(-150)*3. Let j = g + -1551. Factor 4/7*d**3 + 48/7*d - 24/7*d**j - 32/7.
4*(d - 2)**3/7
Let x = 247 + -239. Let t(l) = -l**3 + l**2 + 2*l. Let v(f) = 28*f**4 - 156*f**3 + 272*f**2 - 160*f + 32. Let q(u) = x*t(u) - v(u). Solve q(c) = 0.
2/7, 1, 2
Let s(y) be the third derivative of -8 + 0*y - 1/330*y**5 + 2*y**2 + 1/66*y**4 + 8/33*y**3. Factor s(d).
-2*(d - 4)*(d + 2)/11
Let s(j) be the second derivative of j**4/72 + 5*j**3/9 - 7*j**2/4 - j + 112. Determine t, given that s(t) = 0.
-21, 1
Let g(y) be the third derivative of 1/2*y**4 - 1/10*y**6 - 1/40*y**5 - 4 - 32*y**2 + 0*y**3 + 1/140*y**7 + 0*y. Factor g(z).
3*z*(z - 8)*(z - 1)*(z + 1)/2
Determine n so that 45/2 + 65*n**3 - 210*n + 245/2*n**2 = 0.
-3, 3/26, 1
Let b(t) = 2*t**3 + 10*t**2 + 17*t - 5 - 19*t**2 - t**3. Let j be b(7). Let -c + 14 + c**2 + j - 32 = 0. Calculate c.
-1, 2
Find h such that -2*h**3 - h**3 - 1 - 14*h**2 + 56*h - 46 + h**3 + 7 = 0.
-10, 1, 2
Factor 1/2*k**4 - 5/8*k**3 + 0*k**2 + 0*k + 1/8*k**5 + 0.
k**3*(k - 1)*(k + 5)/8
Suppose 0 = 2*c - 6*p - 16, 82 = 2*c - 113*p + 118*p. Let v(n) be the third derivative of 1/30*n**5 + 0*n**3 + 0*n + 1/6*n**4 + 0 - c*n**2. Factor v(h).
2*h*(h + 2)
Let s(i) be the second derivative of -3*i**5/160 - 13*i**4/32 + 29*i**3/8 + 30*i**2 + 1179*i - 1. Factor s(v).
-3*(v - 5)*(v + 2)*(v + 16)/8
Factor 18/5 + 11/5*q + 1/5*q**2.
(q + 2)*(q + 9)/5
Let l(n) be the second derivative of -1/12*n**4 + 0*n**2 - 1 + 0*n**3 + 1/30*n**6 - 1/40*n**5 - 2*n + 1/84*n**7. Let l(g) = 0. What is g?
-2, -1, 0, 1
What is p in -80*p**2 - 1213 + 5*p**5 + 105*p**3 - 1414*p + 155*p**3 + 173 + 294*p + 85*p**4 = 0?
-13, -2, 2
Factor -32/3*g + 1/9*g**5 + 0 - 76/9*g**2 + 0*g**3 + g**4.
g*(g - 3)*(g + 2)**2*(g + 8)/9
Let o(b) = 14*b - 2. Let j be o(2). Let k = -16 + j. Factor -k*a + 5*a**5 + 5*a**3 - a**4 - 63*a**2 - 14*a**4 + 78*a**2.
5*a*(a - 2)*(a - 1)**2*(a + 1)
Let r be 40*(8775/(-243) + 36 - (-4)/9). Factor -112/3 - 1/3*w**3 + 1/3*w**2 + r*w.
-(w - 4)**2*(w + 7)/3
Let u(m) be the second derivative of -m**7/2016 - 19*m**6/288 + 43*m**4/6 - m**3/3 - 46*m - 3. Let g(f) be the third derivative of u(f). Factor g(v).
-5*v*(v + 38)/4
Let w(m) be the second derivative of -m**6/360 - m**5/20 - m**4/3 + 7*m**3/3 + m - 60. Let l(h) be the second derivative of w(h). Factor l(v).
-(v + 2)*(v + 4)
Let t(p) = -39*p**3 - 548*p**2 - 828*p - 337. Let r(a) = 36*a**3 + 544*a**2 + 828*a + 336. Let k(n) = 9*r(n) + 8*t(n). Determine q so that k(q) = 0.
-41, -1, -2/3
Let k(j) = -4*j**2 - 7*j - 10. Let m(o) = o**2 - 3*o - 2. Let q(c) = -5*c**2 + 13*c + 8. Let a(n) = -9*m(n) - 2*q(n). Let b(g) = -3*a(g) - k(g). Factor b(d).
(d + 2)**2
Let u(c) = -13*c**2 + c + 6. Let d(x) = 16*x**2 + x - 7. Let g(z) = 30*z**2 + 3*z - 13. Let o(v) = -9*d(v) + 4*g(v). Let r(l) = 6*o(l) - 11*u(l). Factor r(p).
-p*(p - 7)
Suppose -w - 2*p - 325 = 0, 0*w = 3*w + p + 980. Let c be (-7 - (-161)/28) + w/(-108). Suppose c*n - 2/9*n**2 + 0 = 0. What is n?
0, 8
Let y = 13532606/290741 - -6/26431. Factor 0 + 2/11*m**3 + y*m - 64/11*m**2.
2*m*(m - 16)**2/11
Let y(i) be the second derivative of 0 - 2*i**3 + 1/24*i**4 + 0*i**2 + 74*i. Suppose y(t) = 0. Calculate t.
0, 24
Let m = 3579/8 - 10709/24. Factor -m*g**4 + 11/6*g**3 + 0 - 5/6*g**2 + 1/6*g**5 + 0*g.
g**2*(g - 5)*(g - 1)**2/6
Let g(q) = 13*q**4 + 46*q**3 + 41*q**2 + 8*q + 3. Let x(p) = -92*p**4 - 324*p**3 - 288*p**2 - 56*p - 20. Let u(b) = 20*g(b) + 3*x(b). Factor u(c).
-4*c*(c + 1)*(c + 2)*(4*c + 1)
Find g, given that -3*g**5 - 45*g**4 + 14124*g**3 - 387*g**2 - 14343*g**3 + 136*g - 346*g = 0.
-7, -5, -2, -1, 0
Suppose 65 - 41 = 8*n. Suppose -f - 2*r - 8 = 0, 6*f + 7 = 2*f - n*r. Factor 4/3 + 2*s + 1/6*s**3 + s**f.
(s + 2)**3/6
Let n(v) be the third derivative of -v**9/72576 + v**8/24192 + 2*v**5/15 + v**3/6 - 5*v**2. Let f(m) be the third derivative of n(m). Let f(g) = 0. Calculate g.
0, 1
Let -87*u**3 - 168 - 123*u**4 + 747*u**2 + 102*u + 1012*u**2 - 1468*u**2 - 15*u**5 = 0. Calculate u.
-7, -2, -1, 4/5, 1
Find x, given that 256/3*x - 10*x**4 - 128/3*x**3 - 2/3*x**5 + 0 - 32*x**2 = 0.
-8, -4, 0, 1
Let -94 - 158/7*u**2 + 1396/7*u - 4/7*u**3 = 0. Calculate u.
-47, 1/2, 7
Let l(k) be the third derivative of k**7/1008 + 5*k**6/72 + 25*k**5/16 - 9*k**3/2 - 41*k**2. Let h(d) be the first derivative of l(d). Let h(y) = 0. What is y?
-15, 0
Let b be (-24000)/(-12100) - 6/(-363). Factor -6*k + 4/5*k**b + 2/5*k**3 - 72/5.
2*(k - 4)*(k + 3)**2/5
Let w(o) be the second derivative of -1/10*o**5 + 2*o**2 - 28*o + 0 + 1/15*o**6 + 1/3*o**3 - 1/2*o**4. Factor w(a).
2*(a - 2)*(a - 1)*(a + 1)**2
Determine u so that -3/5*u**4 + 0 + 288/5*u - 36/5*u**3 - 12*u**2 = 0.
-8, -6, 0, 2
Let k be 18 + (-2542)/155 - (-14)/10. Fac