0, 1
Let c(b) be the third derivative of b**6/120 - b**5/8 + 3*b**4/4 - 5*b**3 + 5*b**2. Let u(n) be the first derivative of c(n). Find r, given that u(r) = 0.
2, 3
Let n(y) be the first derivative of 5*y**6/6 - 7*y**5 + 65*y**4/4 + 5*y**3 - 45*y**2 - 125. Suppose n(x) = 0. Calculate x.
-1, 0, 2, 3
Let f(o) = o**3 - o**2 - o. Let g(w) = 5*w**3 - 69*w**2 - 71*w. Let m(b) = -6*f(b) + 2*g(b). Solve m(h) = 0.
-1, 0, 34
Let n(p) be the second derivative of p**6/75 - p**5/25 - 2*p**4/15 + 8*p**3/15 - 24*p. Factor n(f).
2*f*(f - 2)**2*(f + 2)/5
Let p(r) be the first derivative of 3*r**4/4 - 70*r**3 + 63. Find k such that p(k) = 0.
0, 70
Let q(z) = -z**2 - 11*z + 28. Let n be q(-13). Find v such that -2*v**n + 3*v**2 - 152 + 20*v + 102 - 3*v**2 = 0.
5
Let t be -6*((-4)/16 + (-11)/(-12)). Let g be 0/(3*t/(-6))*1. Factor 0*i + g - 6/5*i**4 + 3/5*i**5 + 0*i**2 + 3/5*i**3.
3*i**3*(i - 1)**2/5
Solve -27*q**4 - 24*q**2 + 53*q**3 + 34*q**3 + 8 + 6*q**2 + 16 - 108*q = 0 for q.
-1, 2/9, 2
Let n(p) be the first derivative of p**6/15 + 4*p**5/5 + 3*p**4 - 27*p**2 - 324*p/5 + 227. Factor n(j).
2*(j - 2)*(j + 3)**4/5
Let m(d) be the third derivative of 0*d + 1/24*d**5 - 13*d**2 - 1/420*d**7 + 0 - 1/16*d**4 - 1/3*d**3 + 1/80*d**6. Factor m(b).
-(b - 4)*(b - 1)*(b + 1)**2/2
Let c(a) = 4*a**2 - 3*a. Let w be c(2). Let j(l) be the first derivative of -1 + 5 + 0*l**3 + l**3 - w. Factor j(k).
3*k**2
Let v be (-240)/24 + (-1 - -15). What is m in -v*m**3 - 2/3*m + 0 - 2/3*m**5 + 8/3*m**4 + 8/3*m**2 = 0?
0, 1
Let z(t) be the third derivative of -8*t**7/7 - 47*t**6/20 - 46*t**5/25 - 3*t**4/5 - 3*t**2 - 19*t. Factor z(s).
-6*s*(5*s + 2)**2*(8*s + 3)/5
Factor 326/3*v**3 - 46/3*v**4 + 2/3*v**5 - 200/3 + 640/3*v - 722/3*v**2.
2*(v - 10)**2*(v - 1)**3/3
Let y = 24 + -13. Let -77*u**2 - 2*u**4 - 18*u - 32 + 98*u + 20*u**3 + y*u**2 = 0. What is u?
1, 4
Let s(l) = 2*l**4 - 3*l**3 + l + 2. Let u(c) = -c**3 + c**2 + 1. Let x(i) = -s(i) + 2*u(i). Find b, given that x(b) = 0.
-1, 0, 1/2, 1
Let b(y) = -y**2 - 2. Let r(w) = 10*w**2 - 52*w + 60. Let m(a) = 6*b(a) + r(a). Determine d, given that m(d) = 0.
1, 12
Let j(w) = -w**4 + w**3 + 2*w + 2. Let s(r) = -42*r**4 - 1413*r**3 - 11945*r**2 - 14106*r - 4506. Let v(z) = 3*j(z) + s(z). Factor v(u).
-5*(u + 15)**2*(3*u + 2)**2
Suppose 14/3*c**3 + 22*c + 28/3 - 36*c**2 = 0. Calculate c.
-2/7, 1, 7
Let x(p) be the third derivative of p**8/504 + 73*p**7/1260 + 19*p**6/40 + 9*p**5/40 - 86*p**2. Let x(j) = 0. What is j?
-9, -1/4, 0
Let f = -52 - -136. Let j be (1 - 66/f)/((-6)/(-8)). Let 2/7*z + 0*z**2 - j*z**3 - 1/7 + 1/7*z**4 = 0. What is z?
-1, 1
Let c = 19/94 + -11807/282. Let p = c + 42. Factor -y**2 + p + 2/3*y.
-(y - 1)*(3*y + 1)/3
Let n be (2 - 1)*16 + 4. Let t = n + -20. What is m in 2*m + 0*m + t*m - 6*m**2 = 0?
0, 1/3
Let d = 928/8109 - 3/901. What is y in -d*y**2 + 2/9*y + 0 = 0?
0, 2
Let m(g) be the third derivative of -g**6/3 + 15*g**5/4 + 15*g**4/4 - 291*g**2. Factor m(t).
-5*t*(t - 6)*(8*t + 3)
Let z(t) be the first derivative of t**6/24 + t**5/4 - 5*t**4/24 - 5*t**3/2 + 10*t**2 - 17. Let p(i) be the second derivative of z(i). Factor p(m).
5*(m - 1)*(m + 1)*(m + 3)
Let c(m) = 5*m - 41. Let a be c(12). Factor -3*t**2 - 5*t**4 - 30*t**3 - a*t**2 + 2*t**2 + 10*t**3.
-5*t**2*(t + 2)**2
Let s(a) be the second derivative of 1/42*a**4 - 6/7*a**2 + 8*a - 5/21*a**3 + 0. Factor s(p).
2*(p - 6)*(p + 1)/7
Let g(l) be the third derivative of 0 - 1/70*l**7 + 0*l**3 - 1/20*l**5 + 0*l + 17/160*l**6 + 49*l**2 + 0*l**4. Factor g(t).
-3*t**2*(t - 4)*(4*t - 1)/4
Let v(o) = -o**3 + 8*o**2 + 11*o + 17. Let b be v(9). Find j, given that 8*j + 68 + 109*j**4 - 143 + 75 - 4*j**2 - b*j**5 - 78*j**3 = 0.
-2/7, 0, 2/5, 1, 2
Let d(t) be the second derivative of t**7/27720 + t**6/720 - t**5/110 - 5*t**4/6 + 14*t. Let l(h) be the third derivative of d(h). Factor l(q).
(q - 1)*(q + 12)/11
Let x be 14/(-84)*6*(-3)/27. Factor 2/9*n - 1/9*n**2 - x.
-(n - 1)**2/9
Let l(b) = -b**3 - b + 1. Let f(y) = 20*y**3 - 2*y**2 + 32*y - 28. Let s = 42 + -40. Let a(r) = s*f(r) + 44*l(r). Factor a(j).
-4*(j - 1)**2*(j + 3)
Factor -36*b**2 + 115*b - 1 - b**2 + 11 - 3*b**2 + 5.
-5*(b - 3)*(8*b + 1)
Let a(c) be the third derivative of 0*c - 1/27*c**3 - 1/270*c**5 + 0 + 17*c**2 - 1/54*c**4. Factor a(m).
-2*(m + 1)**2/9
Let r(w) be the third derivative of 11/120*w**6 + 1/70*w**7 - 4/3*w**3 - 1/2*w**4 + 0*w + 1/10*w**5 + 10*w**2 + 0. Find h such that r(h) = 0.
-2, -2/3, 1
Let z be 4/(-14) - ((-63600)/1925)/24. Factor -2/11*o**4 - 8/11*o**3 - 2/11 - 8/11*o - z*o**2.
-2*(o + 1)**4/11
Let s = -54 + 30. Let m = -22 - s. What is d in 2*d - 4*d**2 + 5 - 1 + m*d**2 = 0?
-1, 2
Let j = 252 - 252. Let n(o) be the third derivative of 0 - 1/30*o**5 + o**2 + j*o + 1/24*o**6 + 0*o**3 + 0*o**4. Factor n(g).
g**2*(5*g - 2)
Suppose 4*h + 3 - 11 = 0. Let d = 55 - 48. Factor 40 + 3*y**2 - d*y**h - 4*y**3 - 40.
-4*y**2*(y + 1)
Let j be (2/6)/(1/9). Let -244*f**3 - 23*f**4 - 52*f**2 + 356*f**j + 3*f**4 - 40*f = 0. Calculate f.
-2/5, 0, 1, 5
Let r(l) be the first derivative of -l**4/12 + 73*l**3/9 - 472. Factor r(i).
-i**2*(i - 73)/3
Let r(i) = -5*i**3 - 2*i**2 + i + 6. Let m be ((-4)/3)/(14/(-21)). Let b(f) = -3 + 4*f**3 + m*f**2 + 3 - 5 - f. Let u(g) = -6*b(g) - 5*r(g). Factor u(t).
t*(t - 1)**2
Find i such that 0 - 220/7*i**2 + 2/7*i**3 + 6050/7*i = 0.
0, 55
Let p(t) = t**2 + 6*t + 4. Let m be p(-6). Suppose -3*b + 20 = b + 2*a, 0 = -a + m. Suppose 0*z - 9/2*z**4 - 6*z**b + 0 - 2*z**2 = 0. Calculate z.
-2/3, 0
Let d(y) be the third derivative of y**5/240 - 5*y**4/48 + y**3 - 224*y**2. Let d(t) = 0. What is t?
4, 6
Suppose 2/7*c**2 + 4*c + 26/7 = 0. What is c?
-13, -1
Let h = 646/245 + 8/49. Let u be 2*(-5)/((-25)/5). Let u*t**3 - 4/5 + 18/5*t**2 - h*t**4 - 2*t = 0. Calculate t.
-1, -2/7, 1
Let k(z) = 12 + 3*z - 4*z - 8*z + z**2. Let i be k(8). Determine v, given that 8*v**3 + 4*v**3 + 10*v**2 + 3*v**i + 0*v**4 + 5*v**2 + 6*v = 0.
-2, -1, 0
Let u(m) be the first derivative of 0*m**2 - 2/15*m**3 + 1/50*m**5 - 1/30*m**4 - 5 - 5*m. Let l(z) be the first derivative of u(z). Factor l(r).
2*r*(r - 2)*(r + 1)/5
Let s(u) be the second derivative of u**7/14 - 7*u**6/10 + 9*u**5/4 - 9*u**4/4 - u + 29. Factor s(b).
3*b**2*(b - 3)**2*(b - 1)
Suppose 0 = 2*m + 1 + 107. Let g be 39/(-91) - m/28. Solve 9/2*h**2 - 6*h - g*h**4 + h**3 + 2 = 0.
-2, 2/3, 1
Let u(i) be the second derivative of i**5/40 - i**4/6 + i**3/3 + 18*i. Factor u(y).
y*(y - 2)**2/2
Let b(q) be the second derivative of -q**5/100 - 41*q**4/60 + 17*q**3/6 - 43*q**2/10 + 3*q - 74. Find c, given that b(c) = 0.
-43, 1
Let i(m) = -6*m - 4. Let j be i(-2). Factor -9 + 5 - 3*y**2 + j*y**2 - 1.
5*(y - 1)*(y + 1)
Let t(k) be the first derivative of 2/3*k**3 - 1/2*k**4 - 8 + 0*k - 1/3*k**2 + 2/15*k**5. Factor t(d).
2*d*(d - 1)**3/3
Let m = 5017 - 25082/5. Factor -12*y + m*y**2 + 60.
3*(y - 10)**2/5
Let d(k) be the first derivative of 2*k**5/75 + k**4/10 - 34. Let d(u) = 0. What is u?
-3, 0
Let b(x) be the first derivative of 81*x + 81/4*x**2 + 3/32*x**4 + 9/4*x**3 - 2. Factor b(k).
3*(k + 6)**3/8
Let m(j) = 2*j**2 - 18*j + 2. Let c be m(9). Determine x, given that -c - x + 4*x**2 + 1 - 2*x**2 = 0.
-1/2, 1
Let n(h) be the third derivative of 0*h**4 + 0*h - 1/300*h**5 + 1/30*h**3 + 0 + h**2. Factor n(r).
-(r - 1)*(r + 1)/5
Let x(v) = -3*v**3 + 3*v**2 + v - 2. Let r be x(2). Let g be (2 + 33/r)*24/(-27). Determine o so that -1/3*o**3 + 0 + o**2 - g*o = 0.
0, 1, 2
Let l = 2243 - 2243. What is c in -2/15*c**4 - 2/15 + l*c + 0*c**3 + 4/15*c**2 = 0?
-1, 1
Let b(m) be the second derivative of 2/3*m**3 + 0 + 0*m**2 - 5*m + 7/3*m**4. Factor b(r).
4*r*(7*r + 1)
Suppose 8*a - 2*a - 78 = 0. Let s = -2 + a. Factor 3*g**5 - s*g**3 - g**5 + 3*g**4 + 2*g**3 + 6*g - 3*g**2 + g**5.
3*g*(g - 1)**2*(g + 1)*(g + 2)
Let m be 10 + (-1)/(2/6). Let y(g) = 12*g + 11*g - 2*g**2 + m - 12*g. Let j(b) = b**2 - 7*b - 5. Let o(k) = -7*j(k) - 5*y(k). Determine t, given that o(t) = 0.
0, 2
Let q(f) be the third derivative of -f**6/280 - f**5/14 - 13*f**4/56 + 12*f**3/7 - 7*f**2 + 18*f. Determine p, given that q(p) = 0.
-8, -3, 1
Let s(t) = 84*t**2 - 7*t + 10. Let o be s(2). Let c = o - 2320/7. Find p such that c*p**2 - 8/7 + 2*p = 0.
-4, 1/2
Let j(h) be the third derivative of -h**5/390 - 2*h**4/