 Let b(r) = -17*r**4 + 4*r - 2*r**4 - 3 - 1 + 10*r**4. Let f(p) = -5*b(p) + 4*u(p). Let f(x) = 0. Calculate x.
-4, 0
Let q(j) = 8*j**2 - 188*j + 306. Let a(b) = -17*b**2 + 389*b - 611. Let g(i) = -6*a(i) - 13*q(i). Determine c so that g(c) = 0.
3, 52
Let g be (-10 - (-663)/68)/((10/(-12))/5). Suppose -g*r**2 + 1/4*r**3 + 0 - 7/4*r = 0. What is r?
-1, 0, 7
Let h = 56502/7 + -7952. Let z = h + -12556/105. Suppose -4/15*d**3 + 0 + 4/15*d - z*d**2 + 2/15*d**4 = 0. What is d?
-1, 0, 1, 2
Let v(t) = -10*t**2 - 3*t + 3. Let f be v(-3). Let m = -74 - f. Factor 8*d + 2*d**3 - 2*d**2 - 17*d + d**3 - m*d**2.
3*d*(d - 3)*(d + 1)
Factor -12805*w**4 - 250*w**4 + 5*w**5 + 0*w**5.
5*w**4*(w - 2611)
Let w = -61950 - -61952. Suppose -2/7*u**3 - 6/7*u + 0 - 8/7*u**w = 0. Calculate u.
-3, -1, 0
Let 33*l + 48*l**2 + 196 + 304 - 29*l**2 - 529*l - 23*l**2 = 0. Calculate l.
-125, 1
Let y be (-6 + 6 - -2)*14/(171 + -17). What is w in -y*w + 0 - 58/11*w**2 = 0?
-1/29, 0
Suppose 2*b = -4*m - 70, 4*m - b = 4*b - 63. Let i(y) = -5*y**2 - 91*y + 130. Let c(p) = 2*p**2 + 30*p - 44. Let x(h) = m*c(h) - 6*i(h). Factor x(z).
-4*(z - 8)*(z - 1)
Let w(f) be the second derivative of f**4/15 + 24*f**3/5 + 14*f**2 + 2*f + 878. Solve w(h) = 0 for h.
-35, -1
Suppose -4*v - 53 + 641 = 0. Let q = v + -147. Factor q*o**2 + 0 + 0*o - 1/4*o**3.
-o**3/4
Suppose -2*w**2 - 368 + 1588 + 1065*w - 151*w - 308*w = 0. Calculate w.
-2, 305
Let t(s) = 6*s**3 + 2*s**2 - 128*s. Let x(a) = -a**3 + 11*a. Let b(w) = t(w) + 4*x(w). Factor b(f).
2*f*(f - 6)*(f + 7)
Let i(h) be the second derivative of h**4/18 + 123*h**3 - 1108*h**2/3 + 3*h - 62. Solve i(f) = 0 for f.
-1108, 1
Let n(t) be the first derivative of t**4/38 - 50*t**3/57 + 168*t**2/19 - 288*t/19 - 291. Factor n(f).
2*(f - 12)**2*(f - 1)/19
Let j(t) be the second derivative of -1 + 2/7*t**2 + 0*t**3 + 7*t - 1/21*t**4. Factor j(d).
-4*(d - 1)*(d + 1)/7
Let r be 4370/551 + -8 - (1 - (-790)/(-522)). Solve 2/9 + 2/9*t**2 + r*t = 0.
-1
Let r(o) be the second derivative of -1/6*o**4 + 0 + 22*o - 2/15*o**5 + 4/3*o**3 - 15/2*o**2 + 1/30*o**6. Let u(k) be the first derivative of r(k). Factor u(z).
4*(z - 2)*(z - 1)*(z + 1)
Let l(x) be the first derivative of -x**3/6 - 31*x**2/4 + 90*x - 5655. Factor l(v).
-(v - 5)*(v + 36)/2
Let r(g) be the first derivative of 9*g**4/8 - 19*g**3 + 285*g**2/4 + 54*g - 1830. Let r(c) = 0. What is c?
-1/3, 4, 9
Let r(z) be the third derivative of -11*z**6/60 - 299*z**5/30 + 78*z**4 + 60*z**3 + 2*z**2 + 68*z. Find f such that r(f) = 0.
-30, -2/11, 3
Let n = 9399/2 - 46969/10. Factor -13/5*b**2 - 1/5*b + 1/5*b**3 + n.
(b - 13)*(b - 1)*(b + 1)/5
Let m(f) be the second derivative of 15/16*f**5 - 2*f + 8 - 3*f**2 - 35/8*f**4 + 11/2*f**3. Solve m(p) = 0 for p.
2/5, 2
Find r, given that -624/7*r + 2/7*r**2 + 48672/7 = 0.
156
Solve -615*t - 462*t**3 - 174 - 623*t**2 - 3*t**5 + 840*t**2 - 1021*t**2 - 29*t**4 - 73*t**4 = 0 for t.
-29, -2, -1
Let y(j) be the first derivative of -j**5/100 + j**4/20 + 3*j**3/10 + j**2/2 + 57*j - 81. Let s(q) be the first derivative of y(q). Find l such that s(l) = 0.
-1, 5
Let c(l) = 10*l**3 - 47*l**2 + 64*l + 309. Let a(u) = -24*u**3 + 93*u**2 - 128*u - 617. Let k(p) = -6*a(p) - 14*c(p). Suppose k(n) = 0. Calculate n.
-26, -2, 3
Let q(n) = -16*n**2 + 153*n - 232. Let y(k) = 5*k**2 - 48*k + 77. Let t(w) = -2*q(w) - 7*y(w). Factor t(p).
-3*(p - 5)**2
Let n(c) = c**3 + 5*c**2 - 12*c - 58. Let l be n(-5). What is q in -16/13*q**l + 0 + 2/13*q**3 + 30/13*q = 0?
0, 3, 5
Find u, given that 31*u**4 + 20*u - 3 - 8185*u**3 - 2*u**5 - 12*u**5 + 8179*u**3 - 28*u**2 = 0.
-1, 3/14, 1
Let y be 38/(3 - -7 - 9). Suppose y - 24 = x - 4*d, 2*x + 11 = -5*d. Factor -4/5*q + 2/5*q**x - 6/5.
2*(q - 3)*(q + 1)/5
Suppose 0 = -5*f - 2*n + 49, 2 = -0*n + n. Suppose 4*y = -5*a - 25, 11 + f = -4*a. Factor -108/5 + 4/5*u**4 + 72/5*u**2 + y*u - 32/5*u**3.
4*(u - 3)**3*(u + 1)/5
Suppose 0 = -8*t + 25 + 15. Suppose t*i + q - 15 = 0, -16 = -i - 4*q + 6. Factor -i*w**2 - 1 - 16*w - 33 + 5 - 3.
-2*(w + 4)**2
Let m(h) = -9*h + 97. Let k be m(8). Let q be (k/5)/(-5) - (-22)/18. Determine a so that -2/9*a + q*a**3 - 2/9*a**4 + 2/9*a**2 + 0 = 0.
-1, 0, 1
Let 0 - 9*l**2 + 5/6*l**3 + 20/3*l = 0. Calculate l.
0, 4/5, 10
Suppose 8*n = 3*n - 4*r + 9, 4*n + 2*r - 6 = 0. Factor -9*t**2 + 12*t - 133*t**3 + 1 - n + 130*t**3.
-3*t*(t - 1)*(t + 4)
Let a(r) be the third derivative of -r**7/735 + 349*r**6/105 - 2789*r**5/210 + 697*r**4/42 - 6371*r**2. Factor a(m).
-2*m*(m - 1394)*(m - 1)**2/7
Let m be -1 - ((-6157)/(-141) - 45). Factor 1/2*s**2 - 1/2*s**4 + 1/6*s**3 + 1/6*s**5 + 0 - m*s.
s*(s - 2)*(s - 1)**2*(s + 1)/6
Let k(w) be the second derivative of 5*w**4/54 - 3337*w**3/27 + 1334*w**2/9 - 2575*w. Factor k(m).
2*(m - 667)*(5*m - 2)/9
Suppose 2*z = s + 8, -3*s + 0*s = 6. Factor z*i**2 - 1 - 79*i + 30*i - 14 + 37*i.
3*(i - 5)*(i + 1)
Let y(g) = 1764*g - 5291. Let t be y(3). Factor -4/3*k + t + 1/3*k**2.
(k - 3)*(k - 1)/3
Let r = -6537/5 + 1309. Suppose 0 = 103*o - 97*o - 18. Find z such that -2/5*z**o + 0 - r*z**2 + 0*z = 0.
-4, 0
Let s(k) be the second derivative of 2*k**6 - 2*k**5/5 - 5*k**4 + 4*k**3/3 + 877*k. Find a, given that s(a) = 0.
-1, 0, 2/15, 1
Let d(r) be the first derivative of r**3 - 53 + 13/10*r**2 + 2/5*r. Solve d(t) = 0.
-2/3, -1/5
Let v be (-20)/100*(111/(-555) + (-97)/15). Find h, given that -16/3*h + v*h**3 - 4*h**2 + 0 = 0.
-1, 0, 4
Suppose 4*q = -2*d - 48, 4*d + 19*q - 23*q = 60. Solve -1/2*u**4 + 2*u - 5/4*u**3 - 1 + 3/4*u**d = 0 for u.
-2, 1/2, 1
Find d such that 294 + 1/4*d**2 - 101/2*d = 0.
6, 196
Let r(m) be the second derivative of 0 - 4*m + 8/7*m**3 + 1/140*m**5 + 1/7*m**4 - 5*m**2. Let i(k) be the first derivative of r(k). Factor i(d).
3*(d + 4)**2/7
Let s(t) be the first derivative of 16 - 1/10*t**5 + 0*t - 23/2*t**2 + 0*t**3 - 1/3*t**4 + 1/60*t**6. Let m(c) be the second derivative of s(c). Factor m(w).
2*w*(w - 4)*(w + 1)
Suppose -2*t + 2 = -t. Suppose 8 = t*h, 0 = 2*j - 8*h + 3*h + 14. Determine u, given that -5*u**j + 0*u**4 + 4*u**4 + 16*u**2 - 2*u**3 + 23*u**3 = 0.
-2, 0
Let w(t) be the second derivative of t**6/240 - 3*t**5/160 - t**4/16 + t**3/6 + t + 1832. Factor w(k).
k*(k - 4)*(k - 1)*(k + 2)/8
Suppose q = -4 + 20. Suppose 7*i + 2 = q. Factor 357 - 5*z**2 + i*z - 2*z - 352.
-5*(z - 1)*(z + 1)
Let z be (-69)/(-5) + 1/5. Factor 5*y**5 + y**4 + 10*y**2 - 25 + 278*y**3 - 328*y**3 + z*y**4 + 45*y.
5*(y - 1)**3*(y + 1)*(y + 5)
Let n(y) be the second derivative of -y**7/378 - 41*y**6/270 - 43*y**5/20 + 35*y**4/4 + 98*y**3 + 277*y + 3. Solve n(q) = 0 for q.
-21, -3, 0, 4
Solve 5697/4*k**2 + 0 - 813/2*k + 1824*k**3 - 27/4*k**4 = 0.
-1, 0, 2/9, 271
Suppose -506*b + 12*b**2 + 9680/3 + 2/3*b**3 = 0. What is b?
-40, 11
Suppose 5*b + 20 = 0, 17*b = -a + 14*b + 60. Factor 0*k**4 - k**5 - 5*k**4 - a*k**3 + 31*k**3 + 37*k**3.
-k**3*(k + 1)*(k + 4)
Let d = 18223/98 - 218/49. Solve 3/2*w**2 + d - 33*w = 0 for w.
11
Let -432/13 - 2/13*u**2 - 434/13*u = 0. What is u?
-216, -1
Let m(x) = -2*x**3 - 134*x**2 - 1768*x - 67. Let o be m(-18). Find f, given that 0*f**2 + 0*f + 0 + 2/13*f**4 + 2/13*f**o - 12/13*f**3 = 0.
-3, 0, 2
Let c(o) = -o**2 + 237*o - 1384. Let z be c(6). Find v such that -2/3*v**z - 8/3 - 8/3*v = 0.
-2
Let g = 3 + 4. Factor -g*a**2 + 8*a - 2*a**3 - 16 - 6*a**2 - 7*a**2 + 24*a**2.
-2*(a - 2)**2*(a + 2)
Let s(i) = -2766*i - 80212. Let p be s(-29). Suppose -1225/6 - 35/3*l - 1/6*l**p = 0. What is l?
-35
Let u(x) = -8*x**2 + x + 5. Let p(n) = 25*n**2 + 1583*n + 628834. Let a(f) = p(f) + 3*u(f). Factor a(k).
(k + 793)**2
Let 2/13*d**5 + 0 + 4/13*d**2 - 50/13*d**3 + 48/13*d - 4/13*d**4 = 0. What is d?
-4, -1, 0, 1, 6
Let y(t) be the first derivative of t**4/10 - 56*t**3/5 + 239*t**2/5 + 648*t/5 + 11170. What is d in y(d) = 0?
-1, 4, 81
Let g(m) be the first derivative of 0*m + 7 + 7/6*m**6 - 2/3*m**3 + 0*m**2 + 3/4*m**4 + 12/5*m**5. Factor g(q).
q**2*(q + 1)**2*(7*q - 2)
Let t = 135 - 107. Suppose 24 - 40*c**3 + t*c**4 - 21*c - 84*c**2 + 28*c**3 + c = 0. Calculate c.
-1, 3/7, 2
Let y(n) = -3*n**2 - 33*n + 42. Let v(r) = r**2 + 32*r - 44. Suppose -22*j + 18*j = 12. Let h(f) = j*v(f) - 2*y(f). Factor h(z).
3*(z - 8)*(z - 2)
Let x(b) be the first derivative of 18 - 1/6*b**4 + 1/10*b**5 - 1/45*b**6 + 0*b**2 - 16/3*b**3 