113. Let x*m**3 + 0 - 9*m - 3*m**3 - 1 - 5 = 0. What is m?
-1, 2
Let d = -167 + 170. Solve -3575 - 42*p**2 - 7*p**3 + 9*p**3 - p**3 - 2*p**d + 831 - 588*p = 0 for p.
-14
Let z(l) = -l - 1. Let t(b) = -b**3 - 16*b**2 - 29*b - 11. Let h be t(-14). Let d(y) = y**2 - 14*y + 27. Let a(n) = h*d(n) + 3*z(n). Factor a(c).
3*(c - 13)*(c - 2)
Let l(f) = f**3 + 28*f**2 - 29*f + 930. Let n be l(-30). Factor 1/3*b**3 + 0 + n*b + 0*b**2 - 1/3*b**4.
-b**3*(b - 1)/3
Let a(t) = 12*t**3 + 2184*t**2 + 120060*t + 1271592. Let p(y) = 3*y**3 + 548*y**2 + 30015*y + 317898. Let i(r) = 2*a(r) - 9*p(r). Factor i(n).
-3*(n + 14)*(n + 87)**2
Let z = 1/30 - -3/10. Let i = -407322 + 407325. Factor -z*p**2 - 1/3*p**i - 1 + 5/3*p.
-(p - 1)**2*(p + 3)/3
Let l = 681 - 310. Factor -87*i - 275 + 420*i - 75*i**3 - 22*i**2 - l + 538 - 188*i**2.
-3*(i + 4)*(5*i - 3)**2
Let f(i) = -2*i**2. Let n(x) = 25*x**5 - 115*x**4 - 125*x**3 + 307*x**2 + 380*x + 100. Let z = -179 - -173. Let c(w) = z*f(w) - n(w). Let c(y) = 0. Calculate y.
-1, -2/5, 2, 5
Suppose -15*g = 13*g - 5*g - 69. Let o(x) be the second derivative of 0 - 2*x**2 + 0*x**g - 10*x + 1/3*x**4. Find v, given that o(v) = 0.
-1, 1
Factor -1/8*w**2 - 5/2 + 3/2*w.
-(w - 10)*(w - 2)/8
Factor -960356 - 226567 - 3*d**2 - 2921*d - 853*d.
-3*(d + 629)**2
Let l = 107 + -104. Determine o so that -12*o**4 + 3*o**4 - 36*o + 9*o**4 + 4*o**4 + 60*o**2 - 28*o**l = 0.
0, 1, 3
Suppose -68*j + 2*j**3 - 48 - 2*j**3 + 5*j**3 - 16*j**2 - 3*j**3 - 2*j**2 = 0. What is j?
-2, -1, 12
Let y be (5/(-1) - -17)/((-3)/(-2)). Let o be 5/(-20) + 50/y. Factor -24*f**2 + 1873 - 1865 + 4*f**3 + 2*f**4 + o*f**4 + 4*f.
4*(f - 1)**2*(f + 2)*(2*f + 1)
Let g = -37 + 25. Let q be 6 + (-4)/g*-3. Factor 3 - 11*p + 4 - q*p + 4*p**2 + 5.
4*(p - 3)*(p - 1)
Find p, given that p**2 + 48862*p - 444 - 24527*p - 24555*p = 0.
-2, 222
Let h be 13/(-130)*5 + 1/2. Let n(f) be the third derivative of 0*f**6 + 0*f**4 + h - 1/12*f**5 - 36*f**2 + 1/42*f**7 + 0*f**3 + 0*f. Let n(q) = 0. What is q?
-1, 0, 1
Let c(r) be the second derivative of -r**4/6 + 1792*r**3/3 - 802816*r**2 - 5936*r. Factor c(o).
-2*(o - 896)**2
Let q(x) be the second derivative of 5*x**7/42 - 5*x**6/6 - 9*x**5/2 + 25*x**4/3 + 140*x**3/3 + 740*x. Solve q(m) = 0 for m.
-2, 0, 2, 7
Let o(u) = -u**3 + 8*u**2 - 12*u + 4. Let c be o(5). Suppose c*p - 18 = 13*p. Factor -2*z**3 + 15*z**4 - 9*z**p - 4*z**3 - 4*z**5 + 5*z**2 - z**5.
-5*z**2*(z - 1)**3
Let f(i) be the first derivative of i**4/4 - i**3/2 - 3*i**2 + 26*i + 250. Let q(v) be the first derivative of f(v). Solve q(h) = 0.
-1, 2
Suppose -4*j - 5*v - 34 = 0, 0 = -3*j - 372*v + 367*v - 38. Solve -46/3*d**2 - 32/3*d**5 + 16*d**j - 2/3 + 6*d + 14/3*d**3 = 0.
-1, 1/4, 1
Let m(y) = 2*y**2 + 83*y - 174. Let o be m(-54). Let s be 5/12 + (-14)/o*7. Find p such that -1/3*p**3 - s*p**2 + 0 + 2/3*p = 0.
-2, 0, 1
Let h(z) be the second derivative of -1/2*z**2 - 3/8*z**3 - 1/8*z**4 + 21*z - 1/80*z**5 + 0. Find g such that h(g) = 0.
-4, -1
Let n(a) be the third derivative of a**6/80 - 47*a**5/8 + 117*a**4/8 + 12447*a**2. Factor n(f).
3*f*(f - 234)*(f - 1)/2
Let 95/7*g**3 - 432 + 1980/7*g + 1/7*g**4 + 948/7*g**2 = 0. What is g?
-84, -6, 1
Let u = 1479/163 - 8397/1141. What is y in 32/7*y + 0 - 8/7*y**3 + u*y**4 - 48/7*y**2 = 0?
-2, 0, 2/3, 2
Let z = 31617/4 - 7904. Let t(g) be the third derivative of 1/20*g**5 + 0 + 2*g**2 + 0*g - z*g**4 + 1/2*g**3. Factor t(w).
3*(w - 1)**2
Suppose v + 20 = 3*v. Suppose 3*b = v + 14. Solve -5*k + b - 10*k**2 + 6 - 9 = 0.
-1, 1/2
Let l = 294613/9 + -32807. Let o = -4523/63 - l. Suppose 3/7 - 6/7*q**3 - o*q**5 - 9/7*q**4 + 9/7*q + 6/7*q**2 = 0. What is q?
-1, 1
Let s be (-3)/((-315)/115) - 6/168*12. Let n(o) be the first derivative of 2/3*o**2 - s*o**3 + 0*o + 0*o**4 + 2/15*o**5 + 12. Factor n(y).
2*y*(y - 1)**2*(y + 2)/3
Let n(y) be the first derivative of -y**7/280 + y**6/20 + y**5/40 - 3*y**4/4 + y**3/3 + 9*y**2/2 + 4. Let k(b) be the third derivative of n(b). Factor k(h).
-3*(h - 6)*(h - 1)*(h + 1)
Factor 160/17*x**2 + 0 - 2/17*x**3 - 158/17*x.
-2*x*(x - 79)*(x - 1)/17
Factor -34*d**2 + 16/3*d**3 + 60*d - 18.
2*(d - 3)**2*(8*d - 3)/3
Let 37903 + 56320*s + 13856*s**2 - 8*s**5 + 24049 + 2*s**5 - 136*s**4 + 10*s**5 + 304*s**3 = 0. Calculate s.
-4, -2, 22
Let g = -1074 + 1049. Let q be 12/15 - ((-80)/g)/4. Factor q - 2*s**2 - 4/7*s.
-2*s*(7*s + 2)/7
Let x be 47/(-3)*(-84)/(-112). Let r = -21/2 - x. Determine d, given that -1/2 + 1/4*d**4 - 1/4*d**3 + r*d - 3/4*d**2 = 0.
-2, 1
Let z be 4/(-12) - 1/(-3). Suppose z - 6 = 2*l, -5*t + 54 = -3*l. Suppose -3*a**2 + 16 - 7 - t = 0. What is a?
0
Let b(a) be the first derivative of -a**4/6 - 118*a**3/9 - 1040*a**2/3 - 9464*a/3 - 305. Factor b(n).
-2*(n + 7)*(n + 26)**2/3
Let t(y) be the second derivative of y**4/54 + 208*y**3/9 + 10816*y**2 + 8573*y. Factor t(n).
2*(n + 312)**2/9
Let z = 3671/22018 - 2/33027. Let s(t) be the first derivative of 45 + z*t**3 + 1/2*t**2 + 0*t. Factor s(j).
j*(j + 2)/2
Let u be (-1)/(7 + (-342)/48). Suppose g + 14 = -3*r + 18, 0 = -4*r - 4*g - u. Factor -10/3*m**4 + 5/3 + 10/3*m**r + 5/6*m**5 - 25/6*m + 5/3*m**2.
5*(m - 2)*(m - 1)**3*(m + 1)/6
Find i, given that 1/6*i**3 - 50/3 - 85/6*i + 8/3*i**2 = 0.
-20, -1, 5
Let t(w) be the second derivative of -w**6/360 + 17*w**5/30 - 289*w**4/6 - 35*w**3/2 + w + 3. Let o(v) be the second derivative of t(v). Factor o(b).
-(b - 34)**2
Let u(f) = 50*f**4 - 175*f**3 - 375*f**2 + 2895*f - 3795. Let d(n) = 7*n**4 - 25*n**3 - 53*n**2 + 413*n - 542. Let l(h) = 15*d(h) - 2*u(h). Factor l(z).
5*(z - 3)**3*(z + 4)
Suppose -9*w + 2 = -8*w. Suppose 14*m - 32 = 150. Determine n so that m + 12 - 4*n**w - 25 - 4*n = 0.
-1, 0
Let w(l) be the first derivative of -l**8/140 + 4*l**7/105 - 2*l**6/45 + l**3/3 - 13*l**2 - 37. Let g(k) be the third derivative of w(k). Factor g(x).
-4*x**2*(x - 2)*(3*x - 2)
Factor -4*w**3 + 106/7*w**2 - 152/7*w + 2/7*w**4 + 72/7.
2*(w - 9)*(w - 2)**2*(w - 1)/7
Suppose -35 = -7*t + 2*t + 5*d, 2*t + 21 = -5*d. Suppose -2 - t = -2*o. Determine q so that -2*q**4 + 0*q**2 + q**2 - 3*q + q**o - q**5 + 4*q = 0.
-1, 0, 1
Let -57760/3 - 2/15*p**2 - 304/3*p = 0. What is p?
-380
Factor -109*m + 24*m**2 - 19*m**2 - 351*m.
5*m*(m - 92)
Let s(q) be the third derivative of 0*q**3 - 5 - 7*q**2 + 0*q**7 + 0*q**4 - 3/80*q**6 + 1/224*q**8 + 1/20*q**5 + 0*q. Factor s(n).
3*n**2*(n - 1)**2*(n + 2)/2
Let l(v) be the first derivative of -505/18*v**4 - 64/9*v + 428/45*v**5 + 392/27*v**3 + 35/27*v**6 + 47 + 92/9*v**2. Solve l(d) = 0 for d.
-8, -2/5, 2/7, 1
Let k(h) = 3328*h - 13307. Let q be k(4). Solve 12*w**2 + 0 + 0*w**4 - 16/3*w + 2/3*w**q - 22/3*w**3 = 0.
-4, 0, 1, 2
Let r(f) = 76*f**3 - 208*f**2 + 216*f - 74. Let x(h) = h**4 - 385*h**3 + 1039*h**2 - 1081*h + 371. Let b(q) = -11*r(q) - 2*x(q). Factor b(g).
-2*(g - 1)**3*(g + 36)
Let h(o) be the second derivative of -o**4/3 - 112*o**3 + 338*o**2 - 130*o - 4. Let h(r) = 0. Calculate r.
-169, 1
Let q(g) be the first derivative of -g**4/20 + 4*g**3/3 + 43*g**2/10 + 22*g/5 + 49. Find h, given that q(h) = 0.
-1, 22
Let k(b) be the second derivative of -5/4*b**2 + 2 + 1/24*b**4 - 1/3*b**3 - 32*b. Factor k(f).
(f - 5)*(f + 1)/2
Let u be 2*(-216)/80 + 6. Let d(l) be the first derivative of -20 + u*l**2 - 2/5*l - 1/50*l**5 - 13/30*l**3 + 3/20*l**4. Suppose d(r) = 0. What is r?
1, 2
Let u(b) = -27*b**2 - 42*b + 21. Let z(c) = -c**2 + 4*c - 1. Let k(f) = -u(f) - 6*z(f). Factor k(n).
3*(n + 1)*(11*n - 5)
Find q such that 2*q**5 - 33*q**3 - 842*q**2 - 102*q**4 - 69*q**3 - 75*q**3 + 648*q + 334*q**3 + 321*q**3 - 184 = 0.
1, 2, 46
Let b(q) be the second derivative of q**5/120 + 29*q**2/2 + 27*q. Let v(r) be the first derivative of b(r). Factor v(a).
a**2/2
Let w = 34127/1040 + -164/5. Let z = w - -823/624. Determine f so that 1/9*f**2 + z*f + 4 = 0.
-6
Let i(r) = 33*r**2 - 27*r - 144. Let k(c) be the second derivative of 2*c**4/3 - 7*c**3/6 - 18*c**2 - 87*c. Let o(u) = 5*i(u) - 21*k(u). Factor o(q).
-3*(q - 6)*(q + 2)
Find z such that -2/3*z**4 - 80/3 - 24*z + 6*z**3 + 28/3*z**2 = 0.
-2, -1, 2, 10
Let x be (16/6 + 206/(-84))/6. Let n(r) be the third derivative of 1/80*r**6 - 10*r**2 + x*r**7 + 0*r**5 + 0*r + 0*r**4 + 0*r**3 + 0. Find l such that n(l) = 0.
-1/5, 0
Let c(l) = l**3 + 43*l**2 + 44*l + 87. Let o be c