c**4 + 177*c**2 + 23*c**4 - 61*c**3 - 114*c.
3*c*(c - 19)*(c - 2)*(c - 1)
Let v(k) be the second derivative of -2/45*k**6 + 0 + 0*k**2 + 0*k**3 - 14/9*k**4 - 265*k - k**5. Factor v(q).
-4*q**2*(q + 1)*(q + 14)/3
Let v be 2 - (22 + -5) - (0 + -1). Let f be ((-152)/(-1330))/((-4)/v). Suppose 0 + 0*j + 28/5*j**2 + f*j**3 = 0. What is j?
-14, 0
Let q(l) be the second derivative of -1/6*l**4 + 26*l - 2 + 1/75*l**6 + 0*l**2 + 1/50*l**5 + 1/5*l**3. Factor q(b).
2*b*(b - 1)**2*(b + 3)/5
Let c(v) be the third derivative of v**8/672 - v**7/70 + 11*v**6/240 - v**5/20 - 3*v**2 + 159*v. Factor c(d).
d**2*(d - 3)*(d - 2)*(d - 1)/2
Let y = -1344241 + 1344243. Let z = -3049/7 - -437. Factor 4/7*u**y - 6/7 - z*u.
2*(u - 3)*(2*u + 1)/7
Let p = 6322 + -6283. Let u(z) be the first derivative of -3/2*z - 2/3*z**2 + p + 1/18*z**3. Factor u(x).
(x - 9)*(x + 1)/6
Let g(j) be the second derivative of -133*j - 4/7*j**2 - 5/21*j**3 + 0 - 1/42*j**4. Suppose g(x) = 0. Calculate x.
-4, -1
Suppose -338/5 + 117/5*n + 1/5*n**3 + 24/5*n**2 = 0. Calculate n.
-13, 2
Let f = -100862 - -201733/2. Find p, given that f*p**2 - 27/2*p + 27/2 - 1/2*p**3 = 0.
3
Suppose 5*i + s = 5, -4*i + 3*s = 4*s - 5. Let o be ((-10)/8 - 17/(-68))*i. Solve o + 2/5*a**2 + 0*a**3 - 6/5*a**4 - 4/5*a**5 + 0*a = 0.
-1, 0, 1/2
Let t(v) be the first derivative of 5*v**4/4 - 55*v**3 - 280*v**2 + 720*v - 2132. Solve t(a) = 0.
-4, 1, 36
Let i be ((-6)/(-8))/((-3156)/(-8416)). Suppose 0*z + 0 - 8/11*z**i + 2/11*z**4 - 6/11*z**3 = 0. Calculate z.
-1, 0, 4
Let d(a) be the first derivative of 53/38*a**4 + 146/57*a**3 - 56/19*a - 6/5*a**5 - 3/19*a**6 + 22 - 32/19*a**2. Solve d(v) = 0.
-7, -2/3, 1
Factor 50*j**2 + 5*j**2 + 50*j + 15 - 434*j**3 + 454*j**3.
5*(j + 1)**2*(4*j + 3)
Find s, given that -1/6*s**4 + 0 - 186003/2*s**2 - 249*s**3 + 0*s = 0.
-747, 0
Let y = 1534657/3 - 511552. Solve 5/3*a**3 - 1/3*a**2 + y*a**4 - 5/3*a + 0 = 0 for a.
-5, -1, 0, 1
Let a(k) be the second derivative of 35*k**2 + 15/14*k**7 - 11/3*k**6 - 3 - 235/6*k**3 - 30*k - 1/2*k**5 + 20*k**4. Let a(s) = 0. What is s?
-14/9, 1
Suppose -2*z - 35 = 3*z. Let a(k) = -2*k**2 - 15*k - 5. Let c be a(z). Find r such that 43 - 4*r**2 - 11*r**c - 10*r**3 + 5*r**4 - 43 = 0.
-1, 0, 3
Factor 0*c + 0*c**2 + 0 + 1/5*c**4 + 96/5*c**3.
c**3*(c + 96)/5
Suppose -4*m + 318 + 2 = 0. Let g = m - 71. Suppose 5*n**5 - 3*n**2 + 6 - 12*n**3 + g*n - 3*n**2 - 2*n**5 = 0. What is n?
-1, 1, 2
Let q(o) be the third derivative of -23/144*o**4 + 0 + 0*o + 62*o**2 - 1/144*o**6 - 2/9*o**3 - 7/120*o**5 + 1/1260*o**7. Factor q(c).
(c - 8)*(c + 1)**3/6
Let x(h) = -10*h**2 - 65680*h - 107848510. Let b(k) = -5*k**2 - 32840*k - 53924180. Let r(d) = -13*b(d) + 6*x(d). Factor r(s).
5*(s + 3284)**2
Factor -73008/7*g + 702*g**2 - 120/7*g**3 + 1/7*g**4 + 177957/7.
(g - 39)**3*(g - 3)/7
Let p(b) be the second derivative of b**5/90 + 22*b**4/3 + 263*b**3/9 + 394*b**2/9 - 103*b + 22. Factor p(t).
2*(t + 1)**2*(t + 394)/9
Let l(m) = -m**3 + 2*m**2 + m - 1. Let x(a) = 380*a**2 + 11536*a + 119160. Suppose p + 10 = g + 6, -3*p = 2*g + 17. Let s(v) = g*x(v) + 4*l(v). Factor s(z).
-4*(z + 31)**3
Let i = -731718 - -731720. Factor -3/4*r**i - 51/4 - 27/2*r.
-3*(r + 1)*(r + 17)/4
Let d(k) = k**4 + 4*k**3 - k**2 + k. Let a(i) = 8*i**4 - 310*i**3 + 11326*i**2 - 124075*i + 424128. Let x(j) = a(j) - 5*d(j). Factor x(f).
3*(f - 47)**2*(f - 8)**2
Let m(g) be the first derivative of g**4/8 + 41*g**3/3 + 40*g**2 + 2901. Let m(h) = 0. Calculate h.
-80, -2, 0
Let m(p) be the first derivative of 2*p**3/3 - 1451*p**2/4 - 363*p/2 + 962. Factor m(r).
(r - 363)*(4*r + 1)/2
Let s(x) be the first derivative of x**9/756 + x**8/210 - 2*x**7/105 - x**6/45 + x**5/10 + 38*x**3 - 169. Let r(u) be the third derivative of s(u). Factor r(h).
4*h*(h - 1)**2*(h + 1)*(h + 3)
Let o = 5920 - 4138. Factor -2*a - 5*a - 1777*a**2 + o*a**2 - 3*a - 15.
5*(a - 3)*(a + 1)
Let p(u) = -13*u**3 + 3941*u**2 - 10*u - 5. Let o(a) = -20*a**3 + 5908*a**2 - 16*a - 8. Let s(l) = 5*o(l) - 8*p(l). Factor s(x).
4*x**2*(x - 497)
Let u be 10/30*-10*(1 + (-33)/15). Let z(m) be the third derivative of 1/100*m**6 + 0*m + 4/45*m**3 - 2/45*m**u + 0 + 18*m**2 - 1/150*m**5. Factor z(y).
2*(y + 1)*(3*y - 2)**2/15
Let -14*l - 5*l**2 + 2*l**2 + 19*l**4 - 10*l**3 - 18*l**4 + 20*l**2 + 6*l**2 = 0. What is l?
0, 1, 2, 7
Let c = 119176 + -119176. Factor 40/7*y**3 + c - 22/7*y**4 + 8/7*y**2 + 0*y.
-2*y**2*(y - 2)*(11*y + 2)/7
Let p be (-4)/430 + (-3454478)/(-7889210). Factor 3*i - 132/7 + p*i**2.
3*(i - 4)*(i + 11)/7
Suppose 8*m = -218 + 610. Let l = -46 + m. Factor -2*v - 7*v + 10*v - 4*v + 3*v**2 + 3*v**l - 3.
3*(v - 1)*(v + 1)**2
Suppose -1375*x - 185 = -1587*x + 239. Factor 6/5*r - 6/5*r**3 + 4/5*r**x - 4/5.
-2*(r - 1)*(r + 1)*(3*r - 2)/5
Let s(x) = 5*x**2 + 20*x + 65. Let y(d) = -3*d**2 - 9*d - 33. Let v(f) = -6*s(f) - 11*y(f). Let l(g) = g**2 - g + 1. Let z(q) = 5*l(q) - v(q). Factor z(j).
2*(j + 4)**2
Suppose p + 3 = 0, -5*v + 7*v = p + 55. Let a(u) = -7*u + 184. Let i be a(v). Factor -1/3*d**i + 0 + 1/3*d**4 - 1/3*d + 1/3*d**3.
d*(d - 1)*(d + 1)**2/3
Suppose 5*w - 10 = 5*l, 62*l + 10 = 58*l + 5*w. Let r(i) be the first derivative of 4/21*i**3 - 12 + 0*i + 5/14*i**4 + l*i**2. Let r(f) = 0. Calculate f.
-2/5, 0
Let c(l) = 3*l + 40. Let z = -84 + 72. Let f be c(z). Factor 12*x**f + 5*x + 32*x**3 - 28*x**4 - x - 20*x**2.
-4*x*(x - 1)*(2*x - 1)**2
Let p(l) be the second derivative of l**8/60 + 8*l**7/105 + 2*l**6/45 + 10*l**3/3 + 13*l + 1. Let c(q) be the second derivative of p(q). Factor c(h).
4*h**2*(h + 2)*(7*h + 2)
Let z = -5023 - -29891/6. Let x = -121/3 - z. Factor -x*b**3 + 0*b**2 + 0 + 5/6*b.
-5*b*(b - 1)*(b + 1)/6
Let q(g) be the first derivative of 5*g**3/3 - 830*g**2 + 1655*g - 11864. Determine m, given that q(m) = 0.
1, 331
Let d(u) = 28*u**2 + 12*u - 8. Let v(k) = -9*k**2 - 4*k + 3. Let m(i) = -23*i - 30. Let n be m(-2). Let h(l) = n*v(l) + 5*d(l). Factor h(g).
-4*(g - 1)*(g + 2)
Let v(b) be the third derivative of 0 + 41/156*b**4 - 19/390*b**6 + 4/65*b**5 + 15*b**2 + 10/39*b**3 - 1/728*b**8 - 34/1365*b**7 - 4*b. Solve v(n) = 0 for n.
-10, -1, -1/3, 1
Let o(u) be the first derivative of 3*u**4/4 - 9*u**3 + 36*u**2 - 60*u - 82. Factor o(r).
3*(r - 5)*(r - 2)**2
Let x(t) be the third derivative of t**7/70 - 77*t**6/40 + 76*t**5 - 361*t**4/2 - 279*t**2 - 1. Factor x(r).
3*r*(r - 38)**2*(r - 1)
Factor -8 - 2559*c**3 + 690*c**2 + 15 - 1850*c - 7 + 2505*c**3 - 2*c**4.
-2*c*(c - 5)**2*(c + 37)
Let x(m) be the third derivative of -m**5/20 - 151*m**4/8 + 76*m**3 - 3966*m**2. Factor x(b).
-3*(b - 1)*(b + 152)
Let t(u) be the second derivative of -19/12*u**4 - 11/20*u**5 - 3/2*u**3 - 33*u - 1/30*u**6 + 0 + 0*u**2. Factor t(z).
-z*(z + 1)**2*(z + 9)
Let f = -16977/51574 - -35/107. Let v = 843/241 - f. Factor v*p**3 - 9*p**2 + 10*p - 4 - 1/2*p**4.
-(p - 2)**3*(p - 1)/2
Factor 460/7*y**2 + 2/7*y**3 + 0 - 66*y.
2*y*(y - 1)*(y + 231)/7
Let o be -13 - -21 - (9 + -1). Let p(j) be the first derivative of 0*j**3 + 0*j**4 + 0*j - 1/5*j**5 - 2 + o*j**2. Factor p(b).
-b**4
Let a(k) = 4*k + 139. Let x be a(-34). Suppose 3*b - 5 = n + x, n - 20 = -4*b. Suppose -1/2*g**5 + 0 - 1/2*g**b + 0*g + 1/2*g**3 + 1/2*g**2 = 0. What is g?
-1, 0, 1
Suppose 3 = 39*j - 38*j. Suppose 0 = n, g - n = -j*n + 2. Factor f**2 + 12*f + 14*f**4 - 12*f**3 + 3*f**g - 8 - 10*f**4.
4*(f - 2)*(f - 1)**2*(f + 1)
Find g, given that -3/2*g**2 + 831*g - 230187/2 = 0.
277
Suppose -76 = 3*z + 5*m - 0*m, 0 = 5*z + m + 134. Let r = 42 + z. Factor 9 + 3*u**2 + 3*u + 0 - r.
3*(u - 1)*(u + 2)
Let j(r) = r**3 - 16*r**2 - 775*r - 58. Let m be j(37). Let w(c) be the first derivative of m + 6/13*c - 1/26*c**4 - 2/13*c**3 + 1/13*c**2. Factor w(o).
-2*(o - 1)*(o + 1)*(o + 3)/13
What is q in 169/4 - 42*q**2 - 1/4*q**4 - 13/2*q + 13/2*q**3 = 0?
-1, 1, 13
Let m = 58 - -328. Factor m*f**2 + 514*f**2 + 23*f**3 + 5655*f + 12*f**3 - 1690.
5*(f + 13)**2*(7*f - 2)
Let y = -5468 - -5472. Let f(s) be the second derivative of -4*s - y*s**2 + 2/21*s**7 - 4/5*s**5 + 2/3*s**4 + 0 + 0*s**6 + 2*s**3. Solve f(z) = 0 for z.
-2, -1, 1
Suppose -4*n + 3*o = 32 - 88, 20 = -5*o. Factor -209*m + 3645 + 135*m**2 - n*m**3 + 6*m**3 - 719*m - 287*m.
-5*(m - 9)**3
Let k = -14931 + 14936. Factor 2/3*w**2 + 0 - 2/3*w**k + 2*w**4 - 2*w**3 + 0*w.
-2