15*k**3 + 0 - 1/5*k**2 - 1/30*k**4 - 13*k. Factor i(o).
-2*(o - 1)**2/5
Let f(v) be the third derivative of v**6/10 - 7*v**5/15 + 361*v**2 + 2*v. Suppose f(k) = 0. What is k?
0, 7/3
Let b = -172 - -296. Let -9*y + 14*y - 5*y - 170*y**4 + b*y**3 + 25*y**5 - 24*y**2 = 0. What is y?
0, 2/5, 6
Factor 25*h**3 - 24*h**3 - 1821*h + 1776*h - 4*h**2.
h*(h - 9)*(h + 5)
Let i(b) be the third derivative of -b**7/1400 - b**6/600 + b**5/100 + 2*b**3 - 12*b**2. Let v(r) be the first derivative of i(r). Let v(m) = 0. Calculate m.
-2, 0, 1
Let w(c) = 6*c**3 + 56*c**2 + 380*c + 576. Let x(o) = 7*o**3 + 57*o**2 + 379*o + 576. Let p(f) = 5*w(f) - 4*x(f). Find v, given that p(v) = 0.
-12, -2
Let o(u) = -u**4 - u - 1. Let j(h) = -2*h**4 - 2*h**3 - 12*h**2 + 15*h + 24. Let m(p) = j(p) - 3*o(p). Determine x so that m(x) = 0.
-3, -1, 3
Let d(o) be the third derivative of -11*o**5/240 + 119*o**4/96 + 11*o**3/12 + 177*o**2. Find c, given that d(c) = 0.
-2/11, 11
Let v(s) = 3*s**2 + 27*s - 24. Suppose -2*z = 4*n + 26, 2*z + z + n = -24. Let q(y) = 4*y**2 + 28*y - 25. Let h(p) = z*v(p) + 6*q(p). Solve h(f) = 0 for f.
1, 6
Let h be 81/972 + 2/12. Solve 0*m - 1/4*m**3 - h*m**2 + 1/4*m**4 + 1/4*m**5 + 0 = 0.
-1, 0, 1
Let p(o) = 4*o**2 - 572*o - 1155. Let c be p(145). Determine w, given that -13/5*w**3 - 6/5*w**4 - 12/5*w**2 - 1/5*w**c - 4/5*w + 0 = 0.
-2, -1, 0
Let m = 133 - 1329/10. Let a(f) be the first derivative of -3*f**3 + 7/8*f**4 - 4*f + 5*f**2 - m*f**5 + 4. Let a(o) = 0. What is o?
1, 2
Let f(y) = 115*y + 2990. Let r be f(-26). Find t such that 0*t + r + 6/7*t**3 - 4/7*t**2 + 6/7*t**5 + 16/7*t**4 = 0.
-2, -1, 0, 1/3
Let m(f) be the first derivative of 12*f**5/5 - 10*f**4 + 12*f**3 - 4*f**2 - 130. Factor m(z).
4*z*(z - 2)*(z - 1)*(3*z - 1)
Let u be (58 - 69) + (-55)/(-4). Let y(d) be the third derivative of -d**3 + 8*d**2 + 0 + 0*d - 121/40*d**5 - u*d**4. Factor y(j).
-3*(11*j + 2)**2/2
Let s(t) be the second derivative of -t**7/168 - t**6/24 - 3*t**5/80 + 13*t**4/48 + t**3/3 - 3*t**2/2 + 36*t + 1. Determine b, given that s(b) = 0.
-3, -2, 1
Let x be (-46)/(-115) + 8/(-20). Let s(h) be the third derivative of 1/180*h**5 - 6*h**2 + 0 + x*h**4 + 0*h - 1/360*h**6 + 0*h**3. Solve s(b) = 0 for b.
0, 1
What is k in -3 + 3 + 2 - k**2 + 355*k - 356*k = 0?
-2, 1
Suppose -5*b - 7 = -3*a - 34, 0 = -5*b + 2*a + 23. Let t(m) be the first derivative of -3*m**2 + 5 - 3*m**4 - 4*m**3 - 5*m**3 + b*m**3 - 3*m**3. Factor t(r).
-3*r*(r + 2)*(4*r + 1)
Let f be (-9)/36*-16*(-1)/(-3). Let y = 137/3 - 45. Suppose -f*b + 2/3*b**3 + 0 + y*b**2 = 0. Calculate b.
-2, 0, 1
Let a(f) be the second derivative of -3*f**6/40 - 21*f**5/80 - 5*f**4/16 - f**3/8 + 148*f - 2. Factor a(s).
-3*s*(s + 1)**2*(3*s + 1)/4
Let v be 172/(-6) + (-6)/(-27)*-6. Let l = -28 - v. Let 0 - 21/4*y**l + 3/2*y - 9/4*y**4 + 6*y**3 = 0. What is y?
0, 2/3, 1
Let v(a) be the second derivative of 0 + 9/5*a**2 + 30*a - 1/20*a**4 + 1/10*a**3. Suppose v(o) = 0. Calculate o.
-2, 3
Let w(u) = -u**2 + 7*u + 10. Let l be w(8). Find b such that -4*b**3 - 6*b**3 + 16*b**3 - l*b**4 + 9*b**2 - b**2 = 0.
-1, 0, 4
Suppose -3*v + 2 = 8. Let y(i) = i**2 - i - 3. Let p be y(v). Find g such that 8*g**5 + 0*g**3 + 8*g - 6*g**p + 0*g**3 - 32*g**2 + 22*g**4 = 0.
-2, 0, 1/4, 1
Let p = 45782/3 + -15260. Factor 5/6*m**2 + 0 + 0*m - 1/6*m**4 + p*m**3.
-m**2*(m - 5)*(m + 1)/6
Let n(g) = g**3 + 4*g - 3. Let q be ((-12)/8)/(6/(-8)). Let d be n(q). Let -r - 3*r**4 + 31*r**3 - 40*r**3 + d*r = 0. What is r?
-2, 0, 1
Let w = -42 + 44. Find g such that g**w - 3*g**2 + 6*g**2 - 3*g**3 + 2*g**2 = 0.
0, 2
Suppose -d - 8013 = -8013. Solve 0 - 1/2*x**2 + d*x**3 + 1/6*x**4 - 1/3*x = 0.
-1, 0, 2
Suppose 133*t + 42*t = 525. Factor -48/5*y**2 - 12/5*y**4 + 24/5*y - 4/5 + 8*y**t.
-4*(y - 1)**3*(3*y - 1)/5
Let w(b) be the second derivative of 4*b**6/15 - 3*b**5/10 - b**4/6 - 6*b + 13. Let w(j) = 0. Calculate j.
-1/4, 0, 1
Suppose -p - 2*l + 22 = 0, 0*p + 5*l = -4*p + 73. Let j = -10 + p. Find n such that 2*n**4 + n**2 + n**2 - 2*n**j = 0.
0
Let m be 1/(-3)*(-11 - 1). Let k(g) be the second derivative of 6/5*g**2 + 2*g + 0 - 2/5*g**3 + 1/20*g**m. Factor k(p).
3*(p - 2)**2/5
Let v(z) be the first derivative of z**6/27 + 22*z**5/45 + z**4/2 - 238*z**3/27 + 98*z**2/9 - 208. Let v(g) = 0. Calculate g.
-7, 0, 1, 2
Suppose 5*v - 59 = -49. Factor 2*m**v - 3*m + 5*m - 6*m + 2*m**3.
2*m*(m - 1)*(m + 2)
Let v be (-504)/224*(-8)/9. Factor -15/2 + 3/2*p**v + 6*p.
3*(p - 1)*(p + 5)/2
Find w such that -7759 - 928 - 25837 + 362*w**3 - 4*w**4 + 113400*w - 19476 - 10980*w**2 = 0.
1/2, 30
Let y(c) be the first derivative of -4 - 1/3*c**3 + 2*c + 1/18*c**4 + 0*c**2. Let g(i) be the first derivative of y(i). Find t such that g(t) = 0.
0, 3
What is x in -11*x**5 + 22*x**3 + 24*x**5 + 24*x**2 - 17*x**5 - 8*x**4 - 2*x**3 = 0?
-3, -1, 0, 2
Let x be (-16)/(-10) - 56/(-40). Let p(r) be the first derivative of 3 + 1/20*r**4 - 1/10*r**2 + 0*r**x + 0*r. Factor p(v).
v*(v - 1)*(v + 1)/5
Let x(p) be the first derivative of -3*p**5/20 - p**4 - 5*p**3/2 - 3*p**2 - 10*p + 15. Let r(b) be the first derivative of x(b). Suppose r(m) = 0. What is m?
-2, -1
Let p(a) = 8*a - 68. Let x(d) = d**3 - 20*d**2 + d - 11. Let q be x(20). Let i be p(q). Let 8/5*g**i - 2/5*g + 14/5*g**3 + 0 + 4/5*g**2 = 0. Calculate g.
-1, 0, 1/4
Let s be 1 - -1 - (7 + -8). Suppose 0 = -4*o + 2*l + 14, -4*o + 25 - 6 = 3*l. Determine i, given that 2/5*i**s + 0 + 2/5*i**o - 2/5*i - 2/5*i**2 = 0.
-1, 0, 1
Let x(s) be the second derivative of -s**6/2340 - s**5/780 - s**3 - 11*s. Let w(u) be the second derivative of x(u). Factor w(f).
-2*f*(f + 1)/13
Let f = -3 + 15. Suppose 2*j - f = -2*j. Factor -12*m**j + 147*m**4 + 7*m**2 + 96*m**3 - 4*m**2 + 9*m**2.
3*m**2*(7*m + 2)**2
Let y = -127 - -134. Let h(r) be the third derivative of -11/105*r**5 + 2/21*r**4 - 6*r**2 + 0 - 3/245*r**y + 2/35*r**6 + 0*r - 1/21*r**3. Factor h(k).
-2*(k - 1)**2*(3*k - 1)**2/7
Let x be 8/(-32)*-1*0. Let b(d) be the second derivative of 0 - 6*d - 1/180*d**6 - 1/60*d**5 - 1/72*d**4 + x*d**3 + 0*d**2. What is f in b(f) = 0?
-1, 0
Let g = -145 + 151. Let o(m) be the third derivative of 2*m**2 + 0*m + 1/450*m**5 - 1/45*m**3 + 1/450*m**g - 1/90*m**4 + 0. Factor o(r).
2*(r - 1)*(r + 1)*(2*r + 1)/15
Let m = -83/144 + 11/16. Let l(p) be the second derivative of m*p**3 + 1/3*p**2 + 7*p + 1/72*p**4 + 0. Find n such that l(n) = 0.
-2
Factor -39 + 13*f**2 - f**3 - 35*f - 14 + 0*f**3 + 4.
-(f - 7)**2*(f + 1)
Solve 108/5*c + 2/5*c**2 + 0 = 0.
-54, 0
Suppose -85*v + 18 = -82*v. Let j(l) be the second derivative of 0*l**2 - 1/12*l**4 + 7*l + 1/30*l**v + 0 - 1/20*l**5 + 1/6*l**3. Factor j(g).
g*(g - 1)**2*(g + 1)
Let j(i) be the second derivative of -5/12*i**3 + 2*i + 0 - 1/4*i**2 - 3/32*i**4. Factor j(f).
-(f + 2)*(9*f + 2)/8
Let d(h) be the second derivative of -11*h**5/25 + 7*h**4/3 - 4*h**3/5 + h + 5. Factor d(w).
-4*w*(w - 3)*(11*w - 2)/5
Solve -294 - 14*k - 1/6*k**2 = 0.
-42
Factor 4 - 5 + 3025*o**2 - 330*o + 3 + 6 + 1.
(55*o - 3)**2
Suppose 5*q + 3*v = -0*q + 21, 2*v - 1 = q. Let g + 1/4*g**q + 0 - g**2 = 0. What is g?
0, 2
Let a = 462 - 459. Let z(y) be the first derivative of 0*y**2 + 8/25*y**5 - 4 + 0*y + 2/15*y**a - 7/20*y**4 - 1/10*y**6. Determine k, given that z(k) = 0.
0, 2/3, 1
Let r(n) be the third derivative of -5041*n**7/1890 + 497*n**6/27 - 1586*n**5/45 - 140*n**4/27 - 8*n**3/27 - 83*n**2. Determine k so that r(k) = 0.
-2/71, 2
Let k(y) be the first derivative of 2/5*y**2 + 7/30*y**4 + 1/25*y**5 + 5 - y + 7/15*y**3. Let w(l) be the first derivative of k(l). Factor w(a).
2*(a + 1)*(a + 2)*(2*a + 1)/5
Let w be (0/3 + 7)/(-1). Let b be -1*17/(-21) + 1/w. Factor -1/3*k**4 - 4/3*k**3 - 5/3*k**2 - b*k + 0.
-k*(k + 1)**2*(k + 2)/3
Let d(h) = h**2 - 5*h + 3. Let c be d(5). Suppose 3*v - 16 + 1 = -5*x, 5*v + 9 = c*x. Determine p, given that -p**3 + p + x*p**2 - 5 - p**2 + 3 = 0.
-1, 1, 2
Let y = 3137/4 + -784. Solve -y*r**4 + 1/4*r**3 + 3/4*r + 5/4*r**2 + 0 = 0.
-1, 0, 3
Let y(u) be the first derivative of -144*u**4/5 - 176*u**3/5 + 47*u**2/10 - u/5 + 19. Factor y(o).
-(o + 1)*(24*o - 1)**2/5
Let x(u) be the third derivative of u**5/300 - 3*u**3/10 - 129*u**2. Factor x(l).
(l - 3)*(l + 3)/5
Let s = -2/8691 - -86936/112983. Factor -8/13 + 16/13*b + s*b**2.
2*(b + 2)*(5*b