 260*h**3/3 + 232*h**2 - 112*h + 63. Factor q(t).
4*(t - 7)*(t - 2)*(7*t - 2)
Let m(i) be the first derivative of 5*i**3/3 + 585*i**2/2 + 580*i - 891. Factor m(w).
5*(w + 1)*(w + 116)
Let f be 4/(-6) + (-342)/81 + 5. Let i(g) be the first derivative of f*g**3 + 2/3*g**2 - 12 + 4/3*g. Factor i(x).
(x + 2)**2/3
Let z(m) = m**2 + 12*m + 2. Suppose 0 = -4*c + 11 - 59. Let q be z(c). Find d such that -18*d + 18*d - 4*d**q + 4 = 0.
-1, 1
Let a(m) be the first derivative of -m**6/420 + m**5/35 - 11*m**4/84 + 2*m**3/7 + m**2/2 + 13. Let y(s) be the second derivative of a(s). Factor y(f).
-2*(f - 3)*(f - 2)*(f - 1)/7
Let d(f) be the second derivative of -f**4/3 + 18*f**3 - 100*f**2 - 650*f. Factor d(u).
-4*(u - 25)*(u - 2)
Suppose 5 = 3*f - 7. Find r such that 4*r**3 - 3*r**5 + 17*r**2 - 21*r**2 - 7*r**5 + 6*r**5 + 4*r**f = 0.
-1, 0, 1
Let b be -6 + (470/141)/(5/12). Factor 54*c**b - 24*c + 8/3.
2*(9*c - 2)**2/3
Suppose -3*m - 2*m = -2*m. Let f be (m - -1) + 3/(9/6). Suppose -6/13*v**2 - 2/13*v**4 + 0 - 2/13*v - 6/13*v**f = 0. What is v?
-1, 0
Let u(k) be the third derivative of -4*k**5/75 + 169*k**4/30 - 28*k**3/5 - 174*k**2 - 2. Factor u(l).
-4*(l - 42)*(4*l - 1)/5
Let p(m) be the first derivative of 6/5*m**5 + 0*m**2 + 12 + 2/3*m**6 + 1/6*m**3 - 15/16*m**4 + 0*m. Suppose p(d) = 0. Calculate d.
-2, 0, 1/4
Let u(l) = l**2 + 26*l - 315. Let i be u(9). Let 10/3*x**2 + i + 8/3*x**4 + 4/3*x - 22/3*x**3 = 0. Calculate x.
-1/4, 0, 1, 2
Let y = 6529/2 + -3264. Solve -1/2*f**2 + y*f + 1 = 0 for f.
-1, 2
Suppose -27*c - 32 = -86. Find x such that -8/3*x**3 - 4/3 - 32/3*x**c + 12*x**4 + 8*x - 16/3*x**5 = 0.
-1, 1/4, 1
Let o(d) = -d**3 + 9*d**2 - 17*d + 21. Let z be o(7). Let p(s) be the second derivative of -14*s - 4/7*s**2 + 0 + 1/42*s**4 + z*s**3. Factor p(r).
2*(r - 2)*(r + 2)/7
Let p(t) be the third derivative of -t**8/168 + 16*t**7/315 + 31*t**6/60 + 11*t**5/15 - 25*t**4/9 - 8*t**3 - 5*t**2. Let p(c) = 0. Calculate c.
-2, -2/3, 1, 9
Suppose 6*r - 10 = r. Suppose 1 + r - 5*y**4 + 9*y**2 - 15*y + 3*y**3 + 3 + 2*y**4 = 0. Calculate y.
-2, 1
Let q(v) = -v**2 - 9*v + 12. Let p be q(-10). Suppose 0 = 3*f + f + x - 29, x = -5*f + 36. Factor 4*b**4 - 7*b**2 + f*b**p - 2*b**4.
2*b**4
Suppose 0 = v - 5*x + 15, 23*v + 3 = 28*v + x. Factor 2/11*k**2 + v - 4/11*k.
2*k*(k - 2)/11
Let d(h) be the first derivative of h**4/13 + 38*h**3/39 + 9*h**2/13 + 369. Factor d(m).
2*m*(m + 9)*(2*m + 1)/13
Let l(q) be the second derivative of 16*q - 2/75*q**6 + 6/5*q**2 - 2/15*q**4 + 4/25*q**5 - 8/15*q**3 + 0. Let l(t) = 0. Calculate t.
-1, 1, 3
Find y such that 0 + 18/7*y**3 + 2/7*y**4 - 6*y**2 + 22/7*y = 0.
-11, 0, 1
Let s(v) be the second derivative of 0*v**4 + 0 + 1/120*v**6 - 1/20*v**5 + 0*v**2 + 2/3*v**3 + 3*v. Let q(r) be the second derivative of s(r). Factor q(g).
3*g*(g - 2)
Let k(m) be the third derivative of m**7/210 + m**6/24 - m**5/60 - 5*m**4/24 - 3*m**2 + 5. Suppose k(i) = 0. What is i?
-5, -1, 0, 1
Let q = 17 + -14. Factor -2*g**2 - g**2 - 4*g**3 + 10*g**2 - q*g**2.
-4*g**2*(g - 1)
Let n be (-19)/(-18) - (-1 - -2). Let c(v) be the third derivative of 1/36*v**4 + 0*v - 3*v**2 - 1/180*v**5 + 0 - n*v**3. Suppose c(r) = 0. Calculate r.
1
Let u be -1*(0 - (-12)/(-4)). Suppose -2*g - g = -6, -u*x - 3*g = -12. Factor -x - 4 - 27*v**2 + 6*v + 6.
-3*v*(9*v - 2)
Let s be ((-6)/4)/(2*(-1)/4). Let a be 10/35 + -1*(-6)/(-21). What is f in -1/7*f + a - 4/7*f**s - 4/7*f**2 = 0?
-1/2, 0
Let g(p) be the third derivative of -7*p**6/120 - 59*p**5/20 - 109*p**4/12 - 8*p**3 - 7*p**2 + 39. Factor g(z).
-(z + 1)*(z + 24)*(7*z + 2)
Let f(x) = -54*x + 121. Let y be f(6). Let u = y - -206. Factor -4/3*h**4 + 0*h**2 + 0*h + 4/3*h**u + 0.
-4*h**3*(h - 1)/3
Factor -2/15*a**2 + 24/5 - 2/3*a.
-2*(a - 4)*(a + 9)/15
Let t(d) be the third derivative of 0 + 0*d**3 + 4/735*d**7 + 12*d**2 + 1/140*d**6 + 0*d**4 + 0*d - 1/210*d**5. Determine r so that t(r) = 0.
-1, 0, 1/4
Let c be (-8)/32*-8 + 4/(-2). Let u = -2/127 - -133/381. Find o, given that u*o**4 + c*o + 2/3*o**2 + 0 - o**3 = 0.
0, 1, 2
Let n(m) = m**2 + 4*m - 2 - 3*m + 2*m. Let a(g) = -g**2 - 24*g + 2 - 7*g + 27*g. Let o(z) = 4*a(z) + 6*n(z). Factor o(q).
2*(q - 1)*(q + 2)
Let r(h) be the third derivative of h**5/180 + 53*h**4/72 - 3*h**3 + 196*h**2. Factor r(z).
(z - 1)*(z + 54)/3
Let y = -27088/5 + 5418. Factor 0 - 1/5*z**4 + 0*z + 3/5*z**3 - y*z**2.
-z**2*(z - 2)*(z - 1)/5
Let u = 49 - 41. Suppose -u*b + 17 = 1. Solve -2/9*i**b + 2/9 + 0*i = 0.
-1, 1
Let a(z) = -z - 4 + 2*z + 1. Let j be a(7). Solve -3*u**3 - 3*u**4 + 4*u**3 - j*u**2 + 5*u**3 + u**4 = 0.
0, 1, 2
Let s(h) be the second derivative of -h**4/21 - 24*h**3/7 + 74*h**2/7 + 197*h. Factor s(q).
-4*(q - 1)*(q + 37)/7
Suppose -5*w + 5 = -5. Suppose 3*h - w*h = 0. Suppose h + 0*y + 2/3*y**5 - 2/3*y**3 - 2/3*y**4 + 2/3*y**2 = 0. Calculate y.
-1, 0, 1
Let b(h) be the second derivative of -5*h**6/33 - 3*h**5/22 + 59*h**4/66 - 7*h**3/11 + 2*h**2/11 + 174*h. Let b(z) = 0. What is z?
-2, 1/5, 1
Let x = -12 + 15. Suppose 4*q - 5 = x. Let 2 - 7*a - 2 + 13*a - 3*a**q = 0. Calculate a.
0, 2
Let t(i) = -3*i**3 + 12*i**2 + 9*i + 6. Suppose 5*b = 5*o + 10 - 35, 26 = 4*o + 2*b. Let h(p) = p**3 - p**2 - p - 1. Let y(l) = o*h(l) + t(l). Factor y(j).
3*j*(j + 1)**2
Let h(y) be the first derivative of y**6/24 - y**5/10 - 7*y**4/16 + 5*y**3/3 - 3*y**2/2 + 91. Factor h(q).
q*(q - 2)**2*(q - 1)*(q + 3)/4
Suppose 0*b + 27/2*b**3 + 0 - 27*b**2 + 3*b**4 = 0. Calculate b.
-6, 0, 3/2
Find j such that 208 - 5*j**2 - 31*j - 17*j + j**2 + 12*j = 0.
-13, 4
What is o in -16*o**3 + 8915*o**4 - 8917*o**4 + 6*o**2 + 60*o**2 = 0?
-11, 0, 3
Let h(s) = s**3 - 10*s**2 - 12*s + 13. Let n be h(11). Factor -50*z - 20*z + 245 + 0*z**n + 5*z**2.
5*(z - 7)**2
Let v(c) be the third derivative of 4*c**2 + 0 + 0*c**3 + 1/42*c**7 + 1/4*c**6 + 0*c + c**5 + 5/3*c**4. Factor v(d).
5*d*(d + 2)**3
Let t(y) = 2*y**5 - 3*y**4 - 7*y**3 + 8*y**2 + 5*y + 10. Let x(b) = 6*b**5 - 10*b**4 - 22*b**3 + 26*b**2 + 16*b + 32. Let a(s) = 16*t(s) - 5*x(s). Factor a(i).
2*i**2*(i - 1)*(i + 1)**2
Factor 112/5 - 12*j + 2/5*j**2.
2*(j - 28)*(j - 2)/5
Let a(p) be the first derivative of -7 + 2*p**2 + 0*p + 4/15*p**5 - 7/6*p**4 - 4/3*p**3. Let d(q) be the second derivative of a(q). Let d(m) = 0. Calculate m.
-1/4, 2
Let h(s) = 6*s**3 + 30*s**2 - 13*s - 65. Let t be h(-5). Factor -4/9*x**4 + t - 2/9*x + 2/9*x**5 + 4/9*x**2 + 0*x**3.
2*x*(x - 1)**3*(x + 1)/9
Let l = -6119/90 - -68. Let r(d) be the third derivative of l*d**4 + 2*d**2 + 0 + 0*d**3 + 0*d - 1/450*d**5. Determine m so that r(m) = 0.
0, 2
Let w(t) be the first derivative of -t**6/225 - t**5/75 - t**4/90 + 41*t - 40. Let u(k) be the first derivative of w(k). Factor u(n).
-2*n**2*(n + 1)**2/15
Let w = 1/1590 - -7631/1590. Find c such that 4/5 + w*c**3 - 24/5*c - 4*c**4 + 16/5*c**2 = 0.
-1, 1/5, 1
Let k(v) = v + 5. Let x be k(3). Let b be ((-24)/4)/((-30)/x). Factor -8/5*h - 2/5 + 2/5*h**2 + b*h**3.
2*(h - 1)*(h + 1)*(4*h + 1)/5
Let j(f) be the second derivative of -f**5/70 - f**4/21 - 29*f + 3. Suppose j(u) = 0. Calculate u.
-2, 0
Suppose 0 = -5*f + f. Factor -62*m**3 + 60*m**3 - 6*m**2 + f*m**2 + 8.
-2*(m - 1)*(m + 2)**2
Factor -95*g - 5/2*g**2 + 0.
-5*g*(g + 38)/2
Suppose -6 = 3*z + 4*w, -2*z - 22 = -7*z + 4*w. Determine c, given that 4*c - 6*c**3 - 10 + 10*c**z + c + c**3 = 0.
-1, 1, 2
Factor 4/13*f**3 + 0*f**4 + 0*f**2 + 0 - 2/13*f**5 - 2/13*f.
-2*f*(f - 1)**2*(f + 1)**2/13
Let p = 2121 - 2115. Let s(t) be the second derivative of -4/5*t**5 - 5/3*t**4 + 0 - 6*t - 4/3*t**3 - 2/15*t**p + 0*t**2. Let s(x) = 0. Calculate x.
-2, -1, 0
Let g(i) be the second derivative of 2*i**7/63 - i**6/9 - i**5/30 + 7*i**4/18 - i**3/9 - 2*i**2/3 + 17*i. Determine a, given that g(a) = 0.
-1, -1/2, 1, 2
Let i(v) be the second derivative of v**7/42 - v**6/3 + 2*v**5 - 20*v**4/3 + 40*v**3/3 + 2*v**2 - 7*v. Let p(k) be the first derivative of i(k). Factor p(t).
5*(t - 2)**4
Factor 8978/5 + 268/5*k + 2/5*k**2.
2*(k + 67)**2/5
Let i(z) be the second derivative of z**4/4 + 46*z**3 + 3174*z**2 + 422*z. Factor i(d).
3*(d + 46)**2
Let p be ((-15)/10 - -3)*(-12)/(-24). Let s(m) be the third derivative of 0 + p*m**4 + 0*m - 6*m**2 + 9/2*m**3 + 1/20*m**5. Factor s(u).
3*(u + 3)**2
Solve -96*m**2 - 28*m + 11*m**2 + 19*m**2 + 29 - 25