/30 - 295*s**4 + 107911*s**3/9 - 205379*s**2/6 + 2*s - 116. Suppose i(b) = 0. Calculate b.
1, 59
Let c(l) be the third derivative of l**7/4200 - l**5/600 + 7*l**3/6 - 23*l**2. Let r(k) be the first derivative of c(k). Determine v so that r(v) = 0.
-1, 0, 1
Suppose -2*m = -4*w + 16, 42 = 2*w - 3*m + 34. Factor -1/2 + 25/4*h**3 + 21/4*h**2 + 9/4*h**w + 3/4*h.
(h + 1)**3*(9*h - 2)/4
Let f(b) = -3*b**2 + 12. Let o(z) be the second derivative of -z**4/12 + 5*z**2/2 + 10*z. Let l = -23 - -18. Let p(q) = l*f(q) + 12*o(q). Factor p(d).
3*d**2
Let p be 3/3*((-116)/58)/(-1 - 1). Factor 1/4*t**5 + p + 1/2*t**2 + 2*t**3 - 3/2*t**4 - 9/4*t.
(t - 4)*(t - 1)**3*(t + 1)/4
Let t(o) be the first derivative of 12*o + 5/2*o**3 - 33/2*o**2 + 43. Suppose t(n) = 0. Calculate n.
2/5, 4
Find m such that -2/5*m**2 + 24/5*m - 64/5 = 0.
4, 8
Let g(j) be the first derivative of j**4/4 - 295*j**3/3 + 21903*j**2/2 - 21609*j - 360. Factor g(r).
(r - 147)**2*(r - 1)
Let k(g) be the second derivative of 1/12*g**3 - 1/2*g**2 + 1/30*g**6 - 7/40*g**5 + 0 + 1/4*g**4 + 5*g. Suppose k(r) = 0. What is r?
-1/2, 1, 2
Suppose -2*q + 4*u + 14 + 20 = 0, 3 = u. Suppose -q*v - 2 = -24*v. Factor 0*i - 1/2*i**5 - 1/2*i**v - 3/2*i**3 + 0 - 3/2*i**4.
-i**2*(i + 1)**3/2
Let y(b) = b**5 - 2*b**4 + 2*b**2 - b + 4. Let h(s) = 2*s**5 - 3*s**4 - s**3 + 3*s**2 - s + 5. Let k(o) = -4*h(o) + 5*y(o). Determine z so that k(z) = 0.
-1, -1/3, 0, 1
Suppose -40/3*q**2 + 80/3 + 0*q + 5/3*q**4 + 0*q**3 = 0. Calculate q.
-2, 2
Let -3 + 2*t + 8*t**2 - 3 - 15*t**2 + 6*t**2 + 41 = 0. Calculate t.
-5, 7
Let o(k) be the third derivative of 11*k**2 + 1/45*k**6 + 0 + 1/630*k**7 + 2/9*k**4 + 0*k + 1/10*k**5 + 5/18*k**3. Factor o(a).
(a + 1)**3*(a + 5)/3
Let j(x) be the second derivative of x**6/240 - x**5/120 - 5*x**4/48 - x**3/4 + 3*x**2 - 5*x. Let s(v) be the first derivative of j(v). Factor s(p).
(p - 3)*(p + 1)**2/2
Let i = 2092/15 - 664/5. Factor -152/9*a + 16/3 + 14/9*a**3 - i*a**2.
2*(a - 6)*(a + 2)*(7*a - 2)/9
Suppose 567*f - 20 = 562*f. Suppose -6/5*t**2 + 14/5*t**f + 32/5*t - 8/5 - 32/5*t**3 = 0. What is t?
-1, 2/7, 1, 2
Suppose 39543*c = 39567*c. Determine d so that 1/8*d**3 + 1/4*d**4 + 0*d + 0 + 1/8*d**5 + c*d**2 = 0.
-1, 0
Let d(p) be the second derivative of p**5/8 + 5*p**4/8 - 5*p**3/3 - 15*p**2 - 362*p + 2. Factor d(z).
5*(z - 2)*(z + 2)*(z + 3)/2
Let k = -50 - -74. Suppose -2*d + 5*d = k. Factor -3*c**2 - 2*c - d*c - 4 + c - 2.
-3*(c + 1)*(c + 2)
Let d be -3 - ((-103)/30 - (-32)/320). Let q(l) be the first derivative of 16/7*l - 7 - d*l**3 - 4/7*l**2 - 1/28*l**4. Factor q(w).
-(w - 1)*(w + 4)**2/7
Solve 160/3 + 2/15*d**2 - 16/3*d = 0.
20
Let f be (-18)/(-9)*(-14 - 0). Let w be 12/f + (-240)/(-21). Factor -6 + 5*t**2 - 2*t + w*t - 9*t**2 + t**2.
-3*(t - 2)*(t - 1)
Let m = -20236 - -60716/3. Let n = 0 + 3. Solve 4*r - 8/3*r**2 + m - 4*r**n = 0 for r.
-1, -2/3, 1
Let 29/5*b**3 - 216/5 + 12/5*b**4 + 1/5*b**5 - 324/5*b - 18*b**2 = 0. Calculate b.
-6, -2, -1, 3
Suppose -5*d + 3 = 2*j - 10, d - 2 = -j. Let h(w) be the second derivative of 0 - 4*w - 4/3*w**2 + 1/18*w**4 + 0*w**d. Factor h(t).
2*(t - 2)*(t + 2)/3
Factor 2/5*z - 2/5*z**5 + 4/5*z**4 - 4/5*z**2 + 0*z**3 + 0.
-2*z*(z - 1)**3*(z + 1)/5
Let k(w) be the second derivative of w**6/2700 - w**5/900 - w**4/30 - w**3/6 + w. Let h(l) be the second derivative of k(l). Factor h(d).
2*(d - 3)*(d + 2)/15
Let s(l) be the first derivative of 2*l**6/3 - 16*l**5/5 + 6*l**4 - 16*l**3/3 + 2*l**2 + 46. Factor s(t).
4*t*(t - 1)**4
Let s(i) be the second derivative of i**8/2240 + i**7/420 + i**6/240 + 13*i**4/12 - 3*i. Let r(c) be the third derivative of s(c). Determine u so that r(u) = 0.
-1, 0
Let f(u) = u**3 + u**2 - 2*u. Let m(j) = -76*j**2 - 316*j + 968. Let p(b) = -4*f(b) + m(b). Factor p(k).
-4*(k - 2)*(k + 11)**2
Suppose -746 = -4*i + 2*q, 4*i - 248 - 499 = 3*q. Let 2*m**2 + i + 18*m - 5*m**2 - 213 = 0. Calculate m.
3
Let l(c) be the second derivative of c**7/14 - 6*c**6/5 - 9*c**5/20 + 19*c**4/2 - 12*c**3 + 114*c - 2. Solve l(i) = 0.
-2, 0, 1, 12
Suppose 2*c + 10 = j, -3*j + 8 = -5*c - 17. Let a be 1 - c*(-6)/30. What is z in -6/5*z - 3/5*z**2 + a + 3/5*z**3 = 0?
-1, 0, 2
Let d(t) be the second derivative of -t**7/21 - 4*t**6/15 + 7*t**4/3 + 17*t**3/3 + 6*t**2 + 142*t. Factor d(z).
-2*(z - 2)*(z + 1)**3*(z + 3)
Let q(n) = n**4 + 36*n**3 - 70*n**2 - 2*n - 2. Let m(j) = 3*j**4 + 109*j**3 - 209*j**2 - 7*j - 7. Let o(x) = -6*m(x) + 21*q(x). What is k in o(k) = 0?
-36, 0, 2
Let n(f) be the third derivative of -f**7/315 - f**6/180 + f**5/10 + f**4/4 + f**2 - 35. Factor n(m).
-2*m*(m - 3)*(m + 1)*(m + 3)/3
Suppose -j = -23 + 27. Let w be j/18 + (-203)/(-63). Factor -2/9*m**4 + 0 + 2/9*m**5 + 10/9*m**2 - 4/9*m - 2/3*m**w.
2*m*(m - 1)**3*(m + 2)/9
Suppose 90 = -36*v + 33*v. Let r(j) = -25*j**2 + 45*j - 20. Let h(z) = -z**2 + z - 1. Let o(p) = v*h(p) + r(p). Factor o(l).
5*(l + 1)*(l + 2)
Factor 2 + 3/4*q**2 - 7/2*q + q**3 - 1/4*q**4.
-(q - 4)*(q - 1)**2*(q + 2)/4
Let n = 11 + 54. Determine s, given that n*s**3 + s**4 - 37*s**4 - 60*s**2 + 6*s**4 + 20*s - 94*s**5 + 99*s**5 = 0.
0, 1, 2
Let b be 7 - (-3 + (-9)/(-3)). Let j(n) = -3*n**2 + 2 + 3 - b*n - 4. Let g(m) = -2*m**2 - 6*m. Let u(v) = 5*g(v) - 4*j(v). Solve u(d) = 0.
-1, 2
Let v = -4060 - -4063. Solve 3/5*z + 9/5 - 3/5*z**v - 9/5*z**2 = 0.
-3, -1, 1
Factor 27744 + 272*h + 2/3*h**2.
2*(h + 204)**2/3
Let o(s) be the first derivative of -2*s**3/3 + 4*s**2 + 24*s + 76. Let o(w) = 0. What is w?
-2, 6
Let l = -10688 + 10692. Let m = -632/15 + 148/3. Determine d so that 20*d**l + 4/5 - 36*d**3 + 121/5*d**2 - m*d = 0.
2/5, 1/2
Let u be -2 + 19 + 8/(-4). Suppose 18*y = u*y. Determine w, given that 1/3*w**4 + 0 + 0*w + y*w**2 + 1/3*w**3 = 0.
-1, 0
Factor 6 + 4*g**2 - 2*g**5 - 35*g**4 - 12*g**3 + 48*g**4 - 23*g**4 + 0*g**5 + 14*g.
-2*(g - 1)*(g + 1)**3*(g + 3)
Suppose -2*f - 70 = -4*r, 0 = 4*r + 3*f - 77 - 18. Let c = r + -20. Let -3*l**4 + 3*l**3 - 3*l - l**2 + c*l**4 + 4*l**2 = 0. Calculate l.
-1, 0, 1
Let r = -181 - -169. Let o be (138/8)/(3 - (-18)/r). Solve -4 + o*t**2 - 5*t - 5/2*t**3 = 0 for t.
-2/5, 1, 4
Let r(x) be the first derivative of 5*x**4/4 - 20*x**3/3 + 25*x**2/2 - 10*x - 24. Determine s so that r(s) = 0.
1, 2
Let s = 528 - 21119/40. Let m(c) be the second derivative of s*c**5 + 0 - 1/48*c**4 + 0*c**2 + 1/120*c**6 - 1/12*c**3 + 5*c. Determine g, given that m(g) = 0.
-2, -1, 0, 1
Let i(z) = 14*z**2 + 105*z - 52. Let j be i(-8). Factor 2/5*q**j + 242/5 + 156/5*q**2 - 8*q**3 + 88*q.
2*(q - 11)**2*(q + 1)**2/5
Let o(i) be the third derivative of -i**5/20 + i**4/72 + 5*i**3/9 + 9*i**2. Factor o(c).
-(c + 1)*(9*c - 10)/3
Let p = -1376627/25852 + 2/6463. Let h = -1459/28 - p. What is t in -h*t**4 + 10/7*t + 4/7 + 4/7*t**2 - 2/7*t**5 - 8/7*t**3 = 0?
-2, -1, 1
Let q(a) be the second derivative of -a**6/240 + a**5/180 + 7*a**4/144 + a**3/18 - 17*a**2/2 - a. Let g(t) be the first derivative of q(t). Factor g(p).
-(p - 2)*(p + 1)*(3*p + 1)/6
Let n be -6*((-45)/54)/((-40)/(-32)). Factor 0 - 2/3*k**2 + 2*k**3 + 2/3*k**n - 2*k.
2*k*(k - 1)*(k + 1)*(k + 3)/3
Factor -3/5*i**2 + 189/5 - 186/5*i.
-3*(i - 1)*(i + 63)/5
Suppose 0 = -0*l + 3*l - 6. Factor 4*o**2 + 6*o**3 + 2*o**l - o - 3*o - 8*o**3.
-2*o*(o - 2)*(o - 1)
Let o(u) = 528*u - 533*u - u**2 + 0*u**2 + 6. Let n be o(-6). Factor n + 2/7*p**5 - 2/7*p**3 + 0*p + 0*p**4 + 0*p**2.
2*p**3*(p - 1)*(p + 1)/7
Suppose 5*i**3 - i**3 - 249 + 16*i**2 + 4*i + 225 = 0. What is i?
-3, -2, 1
Determine i so that -12/7*i + 0 + 2/7*i**2 + 2/7*i**3 = 0.
-3, 0, 2
Let j(d) be the third derivative of 0*d - 12/5*d**3 + 1/5*d**4 - 1/150*d**5 + 0 - 35*d**2. Determine a so that j(a) = 0.
6
What is k in -3/2*k**3 - 1/4*k**4 + 0 + 7/4*k**2 - 1/2*k + 1/2*k**5 = 0?
-2, 0, 1/2, 1
Let c be 20/6 - ((-32)/6)/8. Let m(g) be the second derivative of -9/4*g**2 + 5/16*g**4 - 13/8*g**3 + c*g + 0. Let m(u) = 0. Calculate u.
-2/5, 3
Let g(h) be the first derivative of 0*h + 0*h**3 - 2/15*h**5 + 1/6*h**4 - 9 - 2*h**2 + 1/30*h**6. Let f(z) be the second derivative of g(z). Solve f(r) = 0.
0, 1
Let o(h) be the second derivative of 2*h - 2/21*h**7 + 11/3*h**4 - 2/5*h**6 + 8*h**2 + 0 + 1/5*h**5 + 8*h**3. Factor o(r).
-4*(r - 2)*(r + 1)**3*(r + 2)
Let l(o) be the second derivative of o**6/540 + o**5/180 + 4*o**3/3 +