*h - l*f, -2*h + 5 = -3*f. Factor -74 + 74 - 2*q**2 - 3*q + h*q**2 + q**3.
q*(q - 1)*(q + 3)
Suppose 5*m = l - 6 + 25, -20 = -4*m. Let a be 1/(l/(120/35)). Solve -12/7*i + a*i**3 + 0*i**2 - 8/7 = 0 for i.
-1, 2
Suppose 2*f = 5 + 43. Determine v so that 9*v - 5*v + 4*v + f - 2*v**2 = 0.
-2, 6
What is k in 0 - 88/7*k**3 + 24/7*k**2 - 86/7*k**4 + 0*k - 18/7*k**5 = 0?
-3, -2, 0, 2/9
Let p(f) = f**4 - f**3 - f - 1. Suppose -13 = 6*w - 5*w - 3*h, 3*w - 5*h = -35. Let u(t) = -7*t**4 + 7*t**3 + 5*t + 5. Let k(m) = w*p(m) - 2*u(m). Factor k(d).
4*d**3*(d - 1)
Let q(p) be the third derivative of -p**7/84 + 41*p**6/16 - 1813*p**5/8 + 499685*p**4/48 - 253265*p**3 - p**2 - 55. Suppose q(u) = 0. Calculate u.
12, 37
Solve -8712*m - 435566 + 452089 - 6341435 - 3*m**2 = 0 for m.
-1452
Let t(h) be the third derivative of 1/4*h**5 + 0 + 0*h + 19*h**4 + 30*h**3 - 3*h**2. Factor t(g).
3*(g + 30)*(5*g + 2)
Find j such that 203*j - 22*j + 5*j**4 + 315*j**3 + 82*j**2 - 9*j + 533*j**2 + 133*j = 0.
-61, -1, 0
Let u(y) = -y**3 + 10*y**2 + 12*y - 8. Let n be u(11). Suppose -3*a + z + 123 = 28, -2*a + n*z = -61. Factor -a - h**2 + h - 17*h + 2*h**2 - 3*h**2.
-2*(h + 4)**2
Let m = -177 - -632. Let a be (m/39 + -13)*(-2)/4. Find r such that 4/3*r + 0 - a*r**2 = 0.
0, 2
Factor 28*m**3 + 7*m**3 + 1805*m + 375835 + 2430*m**2 + 5*m**3 - 375535.
5*(m + 60)*(2*m + 1)*(4*m + 1)
Suppose -2529 = 120*l - 435*l - 317*l - 211*l. Solve -1/10*s**l - 1/10*s**5 + 0 - 3/10*s**4 + 1/5*s + 3/10*s**2 = 0.
-2, -1, 0, 1
Let o(h) be the second derivative of -25*h**7/14 - 49*h**6/6 - 19*h**5/2 + 5*h**4/3 + 20*h**3/3 + 9*h - 55. Solve o(d) = 0.
-2, -1, -2/3, 0, 2/5
Suppose l + 2*i - 3 = 4*i, 15 = 5*l + 2*i. Suppose 4*g = 5*r + g - 40, -5*g = l*r + 10. Factor 4*p**2 - 3*p**3 + 0*p**3 - 3*p**4 + 6*p**4 - r*p**3.
p**2*(p - 2)*(3*p - 2)
Let f(g) be the third derivative of -g**5/12 - 55*g**4/24 - 70*g**3/3 - g**2 - 296. Factor f(j).
-5*(j + 4)*(j + 7)
Let u(w) be the second derivative of 10*w**3 - 1/6*w**6 + 3/2*w**5 + 38*w - 10*w**2 + 0 - 65/12*w**4. Factor u(t).
-5*(t - 2)**2*(t - 1)**2
Let i(q) be the first derivative of -q**4/26 + 157*q**2/13 - 24*q - 6480. Suppose i(c) = 0. Calculate c.
-13, 1, 12
Let r(s) be the third derivative of -s**7/21 - 31*s**6/60 - 79*s**5/75 - 2*s**4/3 + 1726*s**2. Determine q, given that r(q) = 0.
-5, -4/5, -2/5, 0
Let o(f) be the first derivative of f**6/60 + f**5/3 + 25*f**4/12 - 2*f**2 - 6*f + 187. Let i(q) be the second derivative of o(q). Let i(m) = 0. Calculate m.
-5, 0
Let g(w) = w**2 + 2*w + 22. Let m be g(0). Suppose 0 = 25*y - m*y - 15. Factor -v**2 - 17*v**3 - 12*v**3 + 26*v**3 - y*v**2.
-3*v**2*(v + 2)
Let j = -819255 - -5734823/7. Factor 12/7 - j*d - 2*d**2.
-2*(d + 3)*(7*d - 2)/7
Let i = -56295/4 + 14074. Let o(y) be the first derivative of -1/16*y**4 + 1/8*y**2 - 3/20*y**5 + 0*y + i*y**3 - 16. Factor o(c).
-c*(c - 1)*(c + 1)*(3*c + 1)/4
Let q(a) = -a**2 + 4*a + 1. Let n(r) = 7*r**2 + 216*r + 1125. Let k(b) = n(b) + 5*q(b). Find x, given that k(x) = 0.
-113, -5
Find h, given that -1/2*h**2 + 15/2*h - 22 = 0.
4, 11
Let v(q) = 230*q - 2297. Let f be v(10). Let i(p) be the third derivative of -10/3*p**f + 0*p + 0 + p**2 + 1/15*p**5 + 2/3*p**4. Suppose i(t) = 0. Calculate t.
-5, 1
Let t(o) be the second derivative of -3*o**5/40 + 1027*o**4/8 - 66304*o**3 + 589824*o**2 + 1045*o - 3. Let t(n) = 0. Calculate n.
3, 512
Let k(b) be the second derivative of 11/8*b**3 + 1/16*b**4 + 13*b + 0*b**2 + 0. Factor k(p).
3*p*(p + 11)/4
Let z = -335 + 457. Factor -42*a + z*a**2 - 60*a**3 - 35*a**3 + 25 - 16 + 65*a**3 - 205 + 2*a**4.
2*(a - 7)**2*(a - 2)*(a + 1)
What is b in 2674 - 1653*b - 823*b + 766322*b**2 - 2672 = 0?
1/619
Let l be ((-4)/3)/((-3)/9). Let x(k) = 12*k**2 + 24. Let t(w) = -5*w**2 - 12. Let j(r) = l*x(r) + 9*t(r). Factor j(o).
3*(o - 2)*(o + 2)
Let z be (91 + -3)/((-30)/9)*-5. Find i, given that -398*i + 49*i + z*i - 363 - 212*i - 69*i**2 - 3*i**3 = 0.
-11, -1
Let y(u) be the first derivative of -32/11*u**3 + 21/22*u**4 + 38 + 36/11*u - 51/11*u**2. Factor y(f).
6*(f - 3)*(f + 1)*(7*f - 2)/11
Let w(y) be the second derivative of -y**4/4 + 17*y**3 - 855*y**2/2 + 2646*y. Solve w(i) = 0 for i.
15, 19
Let i(y) be the second derivative of 0*y**2 + 0*y**3 + 0 + 1/48*y**4 + 31*y + 1/40*y**5 + 1/120*y**6. Factor i(p).
p**2*(p + 1)**2/4
Let b(s) = -7*s**4 - 24*s**3 + 14*s**2 + 102*s + 53. Let y(p) = 10*p**4 + 26*p**3 - 14*p**2 - 106*p - 52. Let d(r) = -4*b(r) - 3*y(r). Factor d(f).
-2*(f - 7)*(f - 4)*(f + 1)**2
Let o(q) be the first derivative of q**5/35 - 81*q**4/28 - q**3/21 + 81*q**2/14 - 1144. Factor o(t).
t*(t - 81)*(t - 1)*(t + 1)/7
Factor -620*k**2 - 394*k**2 - 56 - 82*k + 989*k**2 + k**3.
(k - 28)*(k + 1)*(k + 2)
Factor 765075/4*r + 1/4*r**3 - 128787625/4 - 1515/4*r**2.
(r - 505)**3/4
Suppose 6*z - z - 10 = 0. Let l = 2939742 + -20578193/7. Factor 1 + 6/7*j - l*j**z.
-(j - 7)*(j + 1)/7
Let d(z) = 23*z**2 - 68*z + 310. Let g(m) = 10*m**2 - 33*m + 156. Let q(j) = 3*d(j) - 7*g(j). Factor q(a).
-(a - 18)*(a - 9)
Let k(j) be the first derivative of 5*j**5/12 - 35*j**4/6 + 25*j**3/2 + 148*j**2 + 3. Let g(s) be the second derivative of k(s). Factor g(l).
5*(l - 5)*(5*l - 3)
Let m = -935 + 850. Let p = -82 - m. Determine d so that 1/9*d**p + 0 + 0*d + 1/9*d**4 - 2/9*d**2 = 0.
-2, 0, 1
Let b(t) be the first derivative of -5*t**4/4 + 35*t**3/3 + 425*t**2/2 - 455*t + 1143. Solve b(p) = 0.
-7, 1, 13
Let -1410*t + 2711*t - 4*t**2 - 1525*t - 220 = 0. Calculate t.
-55, -1
Let p(c) be the second derivative of c**4/42 - 23*c**3/7 + 134*c**2/7 - 6*c + 74. Let p(h) = 0. Calculate h.
2, 67
Factor -71925*h - h**3 - 60460 - 35021 - 619*h**2 - 24174*h.
-(h + 1)*(h + 309)**2
Let n = -11317 + 113171/10. Let d(l) be the third derivative of -8/15*l**3 + 0 + 0*l - n*l**4 - 1/150*l**5 - 17*l**2. Factor d(f).
-2*(f + 2)*(f + 4)/5
Determine v, given that -8*v**3 + 0*v + 10/3*v**4 + 0*v**2 + 1/3*v**5 + 0 = 0.
-12, 0, 2
Let z(c) = 30*c**4 + 5*c**3 - 195*c**2 + 430*c. Let k(j) = j**4 + j**3 + j**2 - 2*j. Let o(m) = -25*k(m) + z(m). Solve o(r) = 0 for r.
-6, 0, 2, 8
Let d(a) be the third derivative of a**8/336 - a**7/168 - a**6/36 + 42*a**3 - 88*a**2. Let m(v) be the first derivative of d(v). Factor m(r).
5*r**2*(r - 2)*(r + 1)
Let f = 906026 - 906026. Let 324/5*y**2 + 0*y + f + 76/5*y**4 + 396/5*y**3 + 4/5*y**5 = 0. Calculate y.
-9, -1, 0
Let g(n) be the second derivative of -n**6/255 + n**5/170 + 7*n**4/102 - n**3/51 - 6*n**2/17 + 96*n + 3. Solve g(w) = 0 for w.
-2, -1, 1, 3
Let u = 343409489/1280510 + 1/116410. Let b = -268 + u. Determine r so that b*r**2 - 4/11 + 2/11*r = 0.
-2, 1
Let k(m) = -m**2 + 2*m + 135. Let h be k(-9). Let c be 6/(-1 - -3) + -1. Suppose -5*y - h*y**2 + 2*y + 39*y**c = 0. Calculate y.
0, 1
Suppose i - 5*q - 44 = -2*i, i + 5*q - 8 = 0. Factor -5*x**2 - i*x**2 - 61 + 31*x**2 - 64 - 8*x**2.
5*(x - 5)*(x + 5)
Let b(m) be the first derivative of m**4/36 - 5*m**3/6 - 82*m - 116. Let p(s) be the first derivative of b(s). Suppose p(g) = 0. What is g?
0, 15
Let b be 8856/146124 - ((-421)/132 + -2). Factor -39/4*p + b*p**4 + 9/4 - 27/2*p**3 + 33/2*p**2 - 3/4*p**5.
-3*(p - 3)*(p - 1)**4/4
Let w(z) be the first derivative of -z**5/10 - 153*z**4/8 - 2695*z**3/2 - 160867*z**2/4 - 352947*z + 7654. What is n in w(n) = 0?
-49, -6
Solve 0*c - 3/7*c**5 + 0*c**2 + 0 - 18/7*c**4 + 48/7*c**3 = 0 for c.
-8, 0, 2
Let h be (-33)/(-2)*(-148)/(-111). Suppose 34*u = h*u + 324. Factor -6*f**2 + 9/2*f + u - 3/2*f**3.
-3*(f - 2)*(f + 3)**2/2
Let s(g) = 0 + 3*g**2 - 4*g**2 - 1. Let r(b) = 10*b**2 - 40*b - 65. Suppose -14*q - 12*q - 26 = 0. Let l(h) = q*r(h) - 15*s(h). Factor l(i).
5*(i + 4)**2
Let g = 73019587/61542 + -2/30771. Let o = g - 1185. Factor o - 9/8*b**3 - 15/8*b**2 + 3/2*b.
-3*(b - 1)*(b + 2)*(3*b + 2)/8
Let z(u) be the third derivative of u**7/245 - 97*u**6/210 - 13*u**5/42 + 5914*u**2. Let z(g) = 0. Calculate g.
-1/3, 0, 65
Let o = 70 - 70. Suppose -4*l + 3*m + 27 = 0, o = -3*l + m + m + 19. Find v, given that 0 - 3/4*v**4 - 3/2*v + 9/4*v**l + 3/4*v**2 - 3/4*v**5 = 0.
-2, -1, 0, 1
Let r = 1228 - 2241. Let v = 7103/7 + r. Factor -4/7*t**2 + 0 + v*t.
-4*t*(t - 3)/7
Let y(z) be the second derivative of z**7/42 + 5*z**6 - 153*z**5/20 - 151*z**4/6 + 5772*z. Factor y(q).
q**2*(q - 2)*(q + 