**3/3 + j**2 + 21*j. Let r(h) = 0. Calculate h.
-7/10
Let t(y) be the second derivative of 2*y**7/105 - 46*y**6/75 + 24*y**5/5 + 48*y**4/5 + 102*y. Determine m, given that t(m) = 0.
-1, 0, 12
Let d = -19419 - -97098/5. Factor 3*w + d*w**3 + 6/5 + 12/5*w**2.
3*(w + 1)**2*(w + 2)/5
Let p(j) be the first derivative of 0*j**2 + 17 + 4*j**3 - j**3 + 3*j**2 - 28. Factor p(u).
3*u*(3*u + 2)
Let h(f) be the first derivative of -1/6*f**2 + 0*f + 30 - 1/24*f**4 - 1/6*f**3. Suppose h(m) = 0. Calculate m.
-2, -1, 0
Let p(g) be the third derivative of g**9/68040 + g**8/15120 + g**7/11340 - 5*g**4/8 + 8*g**2. Let h(r) be the second derivative of p(r). Factor h(x).
2*x**2*(x + 1)**2/9
Let f(r) be the third derivative of -r**8/252 - 4*r**7/63 + 5*r**6/9 - 16*r**5/9 + 55*r**4/18 - 28*r**3/9 - 166*r**2. Suppose f(g) = 0. What is g?
-14, 1
Solve -9/5 - 3/5*s**2 - 12/5*s = 0.
-3, -1
Let o(i) = -i**3 - 7*i**2 - 9*i - 6. Let w be o(-6). Let x be ((-62)/93)/((-2)/w). Factor 0*t**x + 0*t - 3/5*t**5 + 9/5*t**3 + 6/5*t**2 + 0.
-3*t**2*(t - 2)*(t + 1)**2/5
Let v(n) = -3*n**4 - 8*n**3 + 17*n**2 + 5*n - 14. Let g(k) = -7*k**4 - 16*k**3 + 33*k**2 + 11*k - 26. Let x(w) = -3*g(w) + 5*v(w). What is c in x(c) = 0?
-2, -1, 2/3, 1
Suppose 0 = -0*p + 2*p. Let t be p - (-4)/6*6. Determine f so that -3*f**t + 4*f**3 + f**4 - 2*f**3 - 10*f + 6*f**2 + 4 + 0*f = 0.
-2, 1
Let u(o) = 6*o + 3. Let l be u(0). Let g(f) be the first derivative of -1/4*f**4 - 4 - 3/5*f**5 + 0*f**2 + 0*f + 0*f**l. Factor g(z).
-z**3*(3*z + 1)
Let v(r) be the first derivative of 3*r**5/40 - r**3/2 + 106. Factor v(x).
3*x**2*(x - 2)*(x + 2)/8
Let z(t) be the third derivative of -t**7/525 - 31*t**6/300 - 11*t**5/5 - 65*t**4/3 - 200*t**3/3 - 18*t**2 + 2. Factor z(j).
-2*(j + 1)*(j + 10)**3/5
Let i(y) be the second derivative of -y**9/13608 + y**8/7560 + y**7/3780 - y**6/1620 - 2*y**3/3 + 3*y. Let p(l) be the second derivative of i(l). Factor p(r).
-2*r**2*(r - 1)**2*(r + 1)/9
Let j(s) = -s**2 + s - 3. Let b(z) = -252*z**3 - 241*z**2 + 5*z + 9. Let g(i) = -b(i) - 3*j(i). Factor g(u).
4*u*(u + 1)*(63*u - 2)
Let h(z) = 59*z - 108*z - z**3 + 49*z. Let o(v) = 8*v**3 + 4*v**2 - 2*v. Let n(l) = -10*h(l) - o(l). Factor n(i).
2*i*(i - 1)**2
Let d(f) = 8*f - 13. Let i be d(2). Let p(w) be the first derivative of 1 + 0*w - 2/7*w**2 - 2/21*w**i. Factor p(y).
-2*y*(y + 2)/7
Factor 0 - 11/3*p - 1/3*p**2.
-p*(p + 11)/3
Factor -128/9*c - 2/9*c**3 + 40/3 + 38/9*c**2.
-2*(c - 15)*(c - 2)**2/9
Suppose 0 = 5*m + 33*t - 208, -10 = m - 4*t + 2*t. Let -32/7*f + 144/7*f**m + 0 - 120/7*f**3 + 4*f**4 = 0. Calculate f.
0, 2/7, 2
Let d be (85/(-35) - (-6)/14)/(50/(-15)). Factor d + 6/5*g + 3/5*g**2.
3*(g + 1)**2/5
Let v(w) = -w**2 - 14*w - 10. Let z(c) = -2*c**2 + c + 2. Let i be z(3). Let f be v(i). Suppose 2*q**2 + 0 - 3*q - 2 - 14*q**f + 17*q**3 = 0. What is q?
-1, -2/3, 1
Let l(j) = -2*j + 3. Let a be l(-6). Suppose -a = -2*q - 7. Factor -10*g**3 + 13*g**2 - 3*g + 5*g**4 - 2*g**q + g**3 - 4*g**2.
3*g*(g - 1)**3
Let m(v) = 2*v**2 + 452*v - 8182. Let a(n) = n**2 + 301*n - 5456. Let l(j) = 8*a(j) - 5*m(j). Factor l(q).
-2*(q - 37)**2
Let m = 727/6 - 1439/12. Suppose -1/2 + m*p + 1/4*p**3 - p**2 = 0. Calculate p.
1, 2
Determine w, given that 20*w**4 - 5*w**3 - 18152*w**2 + 66*w + 18092*w**2 - 10 - 11*w = 0.
-2, 1/4, 1
Let u(s) = 5*s**3 - 26*s**2 + 64*s + 95. Let d(p) = -6*p**3 + 26*p**2 - 62*p - 94. Let w(a) = 3*d(a) + 4*u(a). Factor w(i).
2*(i - 7)**2*(i + 1)
Let y(a) = 4*a**2 + 156*a - 192. Let s(i) = -i**2 - 53*i + 64. Let f(m) = -16*s(m) - 5*y(m). Let f(r) = 0. Calculate r.
1, 16
Suppose -32*c + 11*c + 15*c = 0. Solve 1/2*t**5 - 1/2*t**4 + c + 0*t - 1/2*t**3 + 1/2*t**2 = 0.
-1, 0, 1
Let y(o) = -2*o - 9. Let h be y(-7). Let l be ((-1)/h)/(27/(-180)). Suppose -2/3*d**4 - 5/3*d + 10/3*d**3 + l*d**2 - 2/3 - 5/3*d**5 = 0. What is d?
-1, -2/5, 1
Let a be -3*(-2)/(-3) - -8*(-2)/(-4). Factor -1/2 - 1/4*d**4 - 5/4*d**3 - 7/4*d - 9/4*d**a.
-(d + 1)**3*(d + 2)/4
Let y(i) be the second derivative of -i**4/3 - 24*i**3 - 70*i**2 - 25*i + 3. Suppose y(j) = 0. Calculate j.
-35, -1
Let b(v) be the first derivative of -6 - 5/2*v - 7/12*v**3 + 37/8*v**2. Factor b(r).
-(r - 5)*(7*r - 2)/4
Let u be (40 - 40)/((-11)/(-1)). Let -4/7*x**3 + 6/7*x**4 + u*x - 2/7*x**5 + 0*x**2 + 0 = 0. What is x?
0, 1, 2
Let s = 179 + -177. Let b(t) be the second derivative of -5*t - 1/60*t**6 + 0 + 0*t**s + 0*t**3 - 1/20*t**5 - 1/24*t**4. Factor b(v).
-v**2*(v + 1)**2/2
Let q(r) be the first derivative of 16 - 9/2*r**2 - 6*r - r**3. Let q(j) = 0. Calculate j.
-2, -1
Let p = 2/42031 - -35642274/294217. Let k = p - 4002/35. Solve 4/5 - k*f**2 - 6/5*f - 24/5*f**3 = 0 for f.
-1, -2/3, 1/4
Let i = 1121/4 + -5581/20. Determine z, given that 0*z + 6/5*z**4 + 2/5*z**2 - 2/5*z**5 - i*z**3 + 0 = 0.
0, 1
Suppose -7*f - 4 = -32. Find y such that -125*y**2 + 129*y**2 + f*y**3 + 0*y**3 = 0.
-1, 0
Let f be (-1 - 0 - 0) + 4. Suppose -3*m + 18 = 9. Let 0*q**3 + 3*q**4 - 5*q - f*q**m - 3*q**2 + 8*q = 0. Calculate q.
-1, 0, 1
Let b(h) be the second derivative of -361*h**5/130 + 95*h**4/26 + 24*h**3/13 + 4*h**2/13 + 37*h. Factor b(d).
-2*(d - 1)*(19*d + 2)**2/13
Let t = 17 + -18. Let j = 4 + t. Determine a so that 11 - 3*a + 0*a**3 + j*a**3 - 6*a**2 - 5 = 0.
-1, 1, 2
Let f(h) be the third derivative of h**5/180 - 3*h**4/8 + 25*h**3/9 - 63*h**2. Suppose f(x) = 0. What is x?
2, 25
Find c such that -1400*c**2 - 385 + 125*c**3 - 1284*c + 104*c + 145 = 0.
-2/5, 12
Let c be -5*(-2 - (-21)/15). Solve z**3 - 4*z**c + 6*z**4 - 3*z**4 + 3*z - 9*z**2 + 0*z**4 + 6 = 0.
-1, 1, 2
Let u be (-4)/6 - (39/9 + -4). Let q be -6*(u/2)/(3/2). Factor -4/7*o + 0*o**q + 2/7*o**4 - 2/7 + 4/7*o**3.
2*(o - 1)*(o + 1)**3/7
Suppose 5*b = -2*b + 56. Find w such that 72 - b*w**4 + 56*w**4 - 117*w**2 - 78 - 24*w**3 - 51*w = 0.
-1, -1/4, 2
Let t be (3 - -1) + 1*3*7/(-21). What is r in -2/9*r**2 + 2/9*r**t + 0 - 4/9*r = 0?
-1, 0, 2
Suppose 0*s = -5*s. Suppose -3*z + 59 - 50 = s. Let 0 + 4/7*u + 2*u**2 + 2*u**z + 4/7*u**4 = 0. Calculate u.
-2, -1, -1/2, 0
Let q = -705/7 + 8467/84. Let s(i) be the second derivative of -i**2 + 1/2*i**3 - q*i**4 + i + 0. Factor s(x).
-(x - 2)*(x - 1)
Let c(h) be the third derivative of h**8/8400 - h**6/300 + h**5/75 - h**4/40 - 3*h**3/2 - 16*h**2. Let f(y) be the first derivative of c(y). Factor f(j).
(j - 1)**3*(j + 3)/5
Let v = -812 - -815. Let i(o) be the first derivative of v + 0*o + 1/15*o**3 - 1/10*o**2. Factor i(h).
h*(h - 1)/5
Let r(f) be the second derivative of -f**4/42 - f**3/3 + 18*f**2/7 - 78*f. Factor r(v).
-2*(v - 2)*(v + 9)/7
Let q(r) be the third derivative of -r**5/150 + 3*r**4/10 - 17*r**3/15 + 45*r**2 - 2. Find n, given that q(n) = 0.
1, 17
Let l(k) = k**2 + 2*k - 1. Let w(i) = -16*i**3 + 36*i**2 + 36*i - 32. Let g(y) = 8*l(y) - w(y). Factor g(h).
4*(h - 2)*(h + 1)*(4*h - 3)
Let a = 22 - 16. Let x be (3 - 6/6) + 1 - 1. Factor 3*q**2 - a + x*q**3 - 15*q**2 + 15*q + q**3.
3*(q - 2)*(q - 1)**2
Let m(u) = 2*u**2 + u + 1. Let o be m(-4). Solve -16*w**4 - o*w - 168*w**2 - 7*w - 23*w**3 - 77*w**3 = 0.
-3, -1/4, 0
Let y(r) = r**2 - 11*r - 22. Let f be y(13). Factor -10*p**2 + 5 - 1151*p + 5*p**f + 1151*p.
5*(p - 1)**2*(p + 1)**2
Factor 0 - 1/4*u**3 - 9/4*u**2 - 2*u.
-u*(u + 1)*(u + 8)/4
Let h(m) be the third derivative of -m**5/60 + m**4/12 + 4*m**3/3 + 2*m**2 - 19. Factor h(d).
-(d - 4)*(d + 2)
Let d(i) be the second derivative of 0 - 5/3*i**3 + 4*i + 5/12*i**4 + 5/2*i**2. Factor d(b).
5*(b - 1)**2
Let s(y) = -9*y**2 + 10*y. Let v(z) = -9*z**2 + 8*z. Let w(j) = 5*s(j) - 6*v(j). Factor w(i).
i*(9*i + 2)
Let s(v) be the first derivative of -3*v**5/25 + 33*v**4/20 - 31*v**3/5 + 63*v**2/10 - 77. Factor s(m).
-3*m*(m - 7)*(m - 3)*(m - 1)/5
Factor 4*v + 8/7*v**4 + 8/7*v**3 - 32/7*v**2 - 8/7 - 4/7*v**5.
-4*(v - 1)**4*(v + 2)/7
Factor 3*k + 9/2 - 3/2*k**2.
-3*(k - 3)*(k + 1)/2
Let d(s) be the first derivative of 49*s**4/48 - 7*s**3/6 + s**2/2 - 19*s - 11. Let z(u) be the first derivative of d(u). Suppose z(o) = 0. What is o?
2/7
Let m(j) = -2*j**2 + 22*j + 36. Let a(k) = -k**2 + 21*k + 37. Let f(z) = -4*a(z) + 3*m(z). What is x in f(x) = 0?
-5, -4
Suppose 0 + 2/5*x**4 + 34/5*x**3 + 126/5*x**2 - 162/5*x = 0. Calculate x.
-9, 0, 1
Let p(o) = 33*o**3 - o + 1. Let i be p(1). Let 86*r + 22*r**2 + 