11*b**2 = 0 for b.
-32, -2
Let f(x) be the second derivative of -x**7/2520 + x**5/120 + x**4/36 - x**3 + 19*x. Let u(m) be the second derivative of f(m). Let u(n) = 0. Calculate n.
-1, 2
Let y = 31 - 27. Factor 6*t**3 - 2 + 2 + 9*t**5 - 11*t**5 + y*t**2.
-2*t**2*(t - 2)*(t + 1)**2
Suppose 3*i = -4*u + 5*u - 4, 0 = 5*i + 5. Suppose -10 = -5*k - x + u, -2*k = 2*x - 6. Factor 40*r**2 + 33*r**2 + 3 - 76*r**k.
-3*(r - 1)*(r + 1)
Let z(r) be the second derivative of -27/16*r**2 - 3/8*r**3 + 0 - 1/32*r**4 - 3*r. Factor z(b).
-3*(b + 3)**2/8
Suppose -4 = -5*l + d - 18, 0 = 3*l + 4*d - 10. Let j be 1 + (-3 + 1)/l. Find k, given that -3*k + 4*k**3 - 5*k**2 + j*k - 4*k + 2 - 2*k = 0.
-1, 1/4, 2
Let p(l) be the first derivative of -1/4*l**6 + 35 + 0*l**5 - l**3 + 9/8*l**4 + 0*l**2 + 0*l. Factor p(z).
-3*z**2*(z - 1)**2*(z + 2)/2
Let t(g) be the first derivative of 5/3*g**3 + 1 + 5/2*g**4 + 0*g + 0*g**2 + g**5. Find k, given that t(k) = 0.
-1, 0
Let b be 5 + -1*(-3 + 2). Let k be (4/b)/(3/18). Let -3*l**2 - 5*l**2 + k + 3 + 52*l**3 - 52*l + 1 = 0. Calculate l.
-1, 2/13, 1
Let k be 2*(-4 + 15/2). Let d(z) = -z + 10. Let f be d(k). Find w such that 3*w**3 - w - 11*w - 8*w**2 + 2*w**2 - 4*w**f - 8 = 0.
-2
Let n(d) be the third derivative of 0*d**4 + 0*d**3 - 1/140*d**6 - 1/140*d**5 + 0 + 0*d - 1/490*d**7 + 2*d**2. Determine m, given that n(m) = 0.
-1, 0
Factor 46*q + 86/3*q**2 + 2/3*q**4 + 22/3*q**3 + 24.
2*(q + 1)*(q + 3)**2*(q + 4)/3
Suppose 45*m**2 + 866*m**3 - 286*m**3 - 293*m**3 - 292*m**3 = 0. What is m?
0, 9
Suppose 9*l - 31 = 50. Let u(r) be the first derivative of -l - 1/15*r**3 + 3/5*r**2 - 9/5*r. Factor u(p).
-(p - 3)**2/5
Let x(i) = -3*i**3 + 2*i. Let u(p) be the first derivative of p**5/5 - p**4/4 - p - 16. Let n(v) = -2*u(v) + 2*x(v). Factor n(j).
-2*(j - 1)*(j + 1)**3
Suppose 160 = 43*r - 48*r. Let u be (-12)/r*(9 - 8). Suppose u*v**3 - 3/4*v**4 + 0 - 3/8*v**5 + 0*v + 3/4*v**2 = 0. What is v?
-2, -1, 0, 1
Let h be (-67)/(-134)*(-4)/6*(-3)/2. Determine n so that 0*n - h*n**4 + 1/2*n**2 + 1/2*n**3 - 1/2*n**5 + 0 = 0.
-1, 0, 1
Suppose 12*v = 15*v - 102. Let q = v - 29. Factor -2*x**3 + q*x**2 + 0*x**3 - 2*x**2.
-x**2*(2*x - 3)
Let f be 30/75 - (-40)/25. Factor 2/3*j - 2/3*j**f + 2/3*j**4 + 0 - 2/3*j**3.
2*j*(j - 1)**2*(j + 1)/3
Let l(s) be the second derivative of s**8/1512 - s**6/270 + s**4/108 - 2*s**2 - 4*s. Let t(b) be the first derivative of l(b). Solve t(w) = 0 for w.
-1, 0, 1
Factor 4/11 - 4/11*r**2 - 6/11*r + 6/11*r**3.
2*(r - 1)*(r + 1)*(3*r - 2)/11
Let r = 49 - 59. Let m(c) = -5*c**3 + c**2 - 3*c. Let x(h) = -16*h**3 + 4*h**2 - 10*h. Let o(w) = r*m(w) + 3*x(w). Let o(s) = 0. What is s?
-1, 0
Let f(j) be the first derivative of j**5/15 + 13*j**4/36 + 13*j**3/27 + j**2/6 + 75. Find r such that f(r) = 0.
-3, -1, -1/3, 0
Let v(a) = 5*a**2 - 2*a - 2. Let j be v(-1). Suppose j*z = 3*g + 27, -3*z - 3*g = z. Factor 2*b - 3 - 12*b**2 + 5*b**z + 15 - 9*b**3 + 2*b.
-4*(b - 1)*(b + 1)*(b + 3)
Let a be ((0/(-4))/(9 - 0))/(-1). Find v, given that a - 2/5*v + 2/5*v**3 + 0*v**2 = 0.
-1, 0, 1
Let i(p) be the first derivative of -9/8*p**4 + 0*p**2 + 0*p**3 - 12/5*p**5 + 9 + 0*p. Solve i(w) = 0 for w.
-3/8, 0
Let g = 46 - 44. Factor -g*t**2 + 2*t**2 + 3*t**2 - t**3 - 5*t + 3*t.
-t*(t - 2)*(t - 1)
Let f(g) be the second derivative of 4*g**7/21 + 44*g**6/15 - 17*g**5/40 - 187*g**4/24 + g**3/12 + 11*g**2/4 - g + 38. What is b in f(b) = 0?
-11, -1, -1/4, 1/4, 1
Let l be ((-4)/(-10) - (-6 - 728/(-120)))*1. Factor -1/6*o**2 + 0 + 1/6*o**3 - l*o.
o*(o - 2)*(o + 1)/6
Let a(z) be the first derivative of z**5/120 + 13*z**2/2 - 14. Let m(x) be the second derivative of a(x). Let m(t) = 0. What is t?
0
Let f(x) = -x**3 - x**2 + 3*x. Let d(m) = 7*m**3 + 25*m**2 + 4*m - 8. Let y(o) = -2*d(o) - 4*f(o). Factor y(k).
-2*(k + 1)*(k + 4)*(5*k - 2)
Let w(y) = y**3 - 5*y**2 + 6*y - 4. Let z = 1 - -3. Let b be w(z). Solve 15 - 7 + 4 - b*k**2 + 8*k = 0.
-1, 3
Let l(x) be the third derivative of -11*x**2 + 0 + 1/40*x**4 - 1/60*x**5 + 0*x + 1/15*x**3. Factor l(i).
-(i - 1)*(5*i + 2)/5
Let w be ((-3 - -1)/(-2))/((-111)/(-222)). Factor 1/7*m**w + 16/7 - 8/7*m.
(m - 4)**2/7
What is t in -16*t**2 + 5*t**2 + 2*t**2 - 2*t = 0?
-2/9, 0
Let u = 1591 - 1591. Find q, given that 0 + 1/6*q**3 - 1/6*q**2 + u*q + 1/3*q**4 = 0.
-1, 0, 1/2
Let g(n) be the first derivative of 5*n**6/6 + 2*n**5 - 10*n**3/3 - 5*n**2/2 + 207. Suppose g(k) = 0. Calculate k.
-1, 0, 1
Suppose -2*q + 33 = 73. Let o be (3/(405/q))/(4/(-6)). What is x in 4/9 + 2/9*x - o*x**2 = 0?
-1, 2
Factor 4*l**4 + 0 + 0*l**2 - 1/6*l**5 + 0*l - 23/6*l**3.
-l**3*(l - 23)*(l - 1)/6
Let g(j) be the third derivative of j**6/30 + 14*j**5/15 - 49*j**4/6 + 68*j**3/3 + 134*j**2. Factor g(r).
4*(r - 2)*(r - 1)*(r + 17)
Let d = -1203 - -1208. Let f(p) be the second derivative of -1/84*p**7 + 0*p**3 - 1/24*p**4 + 1/40*p**5 + 0*p**2 + 1/60*p**6 + 0 + d*p. Factor f(u).
-u**2*(u - 1)**2*(u + 1)/2
Suppose -190*x + 187*x + 12 = 0. Let o(r) be the third derivative of 0*r + 0*r**3 + 0 - 2*r**2 + 1/20*r**5 + 0*r**x. Solve o(v) = 0.
0
Suppose 3*h - 13 = -4, 0 = 2*y - 4*h + 10. Let n be 6 - (-2)/y*-1. Determine u, given that -u**4 + 3*u**n + u**4 - 70*u**3 + 76*u**3 = 0.
-2, 0
Let a(b) be the second derivative of 3*b**5/80 - 5*b**4/2 + 39*b**3/8 - 764*b. Factor a(u).
3*u*(u - 39)*(u - 1)/4
Let c(x) be the third derivative of -x**8/1008 + 2*x**7/315 - x**6/90 - x**5/90 + 5*x**4/72 - x**3/9 - 897*x**2. Determine t so that c(t) = 0.
-1, 1, 2
Suppose 4*m + 3*g = 1 + 10, 5*m - 3*g = 7. Let q(d) be the first derivative of 2/15*d**3 + 6 - 2/5*d**m + 2/5*d. Determine o, given that q(o) = 0.
1
Let h(f) be the second derivative of 2/5*f**5 + 2/15*f**6 + 0 - f**4 + 22*f - 8*f**2 - 16/3*f**3. What is q in h(q) = 0?
-2, -1, 2
Let 0*d - 4/5*d**3 - 4/5*d**2 + 1/5*d**5 + 0 + 1/5*d**4 = 0. What is d?
-2, -1, 0, 2
Suppose 15 = -5*r + 3*g, 2*r + 3*r + 15 = -2*g. Let i be (-2)/(15/(r*(-5)/(-15))). Factor 0 - 8/15*c**4 - 2/3*c**3 + 0*c - i*c**2.
-2*c**2*(c + 1)*(4*c + 1)/15
Let b = -6961 + 6961. Find r such that 1/6*r**2 + 0 + b*r - 1/6*r**3 = 0.
0, 1
Let w = 87 - 85. Let v = -259/3 - -87. Factor -v*p**3 + 0 + 20/9*p**w - 2/3*p.
-2*p*(p - 3)*(3*p - 1)/9
Suppose 694 = -8*q - 258. Let v = 119 + q. Factor v*l**2 + 0*l**4 - 4/9*l**3 + 0 + 2/9*l + 2/9*l**5.
2*l*(l - 1)**2*(l + 1)**2/9
Let d(f) be the second derivative of -2/9*f**3 + 0*f**2 - 35*f + 0 - 5/54*f**4 - 1/90*f**5. Let d(o) = 0. What is o?
-3, -2, 0
Let c(k) be the second derivative of 12*k - 6*k**3 - 4*k**2 - 7/3*k**4 + 0. Factor c(m).
-4*(m + 1)*(7*m + 2)
Let y(u) be the third derivative of -35*u**2 + 3/20*u**6 + 0*u + 0*u**4 + 7/20*u**5 - 1/70*u**7 + 0*u**3 + 0. Find m such that y(m) = 0.
-1, 0, 7
Let g be 0 - (-2 + 1)/4. Suppose -113 = 6*w - 113. Determine l so that 1/2*l**2 + g*l + 1/4*l**3 + w = 0.
-1, 0
Let k(n) be the first derivative of -n**2/2 + 10. Let d(m) = m**4 - 5*m**3 + 8*m**2 + 5*m. Let o(s) = -2*d(s) - 18*k(s). Factor o(x).
-2*x*(x - 2)**2*(x - 1)
Let m(f) be the third derivative of 7/48*f**4 + 8*f**2 + 0 - 1/6*f**3 + 0*f + 1/30*f**5. Factor m(u).
(u + 2)*(4*u - 1)/2
Let q(z) be the second derivative of -z**6/60 + z**5/40 + z**4/4 - z**3/3 - 2*z**2 + 80*z. Factor q(j).
-(j - 2)**2*(j + 1)*(j + 2)/2
Let u = -43 + 48. Let k be 1*u*(-24)/(-60). Factor 2/7*x**3 + 6/7*x**k + 2/7 + 6/7*x.
2*(x + 1)**3/7
Let h(g) be the second derivative of 3*g**5/100 + 2*g**4/5 - 19*g**3/10 + 3*g**2 - 240*g. Factor h(x).
3*(x - 1)**2*(x + 10)/5
Let y be (-5)/((-30)/18) + (0 - 0). Factor j + 7*j**5 + 14*j**4 + 6*j**4 + 2*j**4 + 24*j**y + 10*j**2.
j*(j + 1)**3*(7*j + 1)
Let u(b) be the first derivative of -b**5/5 - 3*b**4/4 + 2*b**2 - 59. What is a in u(a) = 0?
-2, 0, 1
Let -289/2*n - 1/4*n**2 - 83521/4 = 0. Calculate n.
-289
Let y(q) = q**3 + q - 4. Let o be y(2). Factor -3*c**2 + 2 - 9*c + o*c**2 - 3*c + 7.
3*(c - 3)*(c - 1)
Let o(b) be the first derivative of -b**6/180 + b**5/15 - b**4/4 - 20*b**3/3 + 14. Let g(x) be the third derivative of o(x). Let g(l) = 0. What is l?
1, 3
Suppose -13*r + 17*r + 10*r = 0. Solve 0*q**2 + r*q**3 + 0 + 0*q**4 + 0*q + 3/8*q**5 = 0 for q.
0
Suppose -12*c - 3 = -13*c. Suppose -9*o**c - 24 + 62*o**2 - 900*o**5 - 296*o**2 - 168*o**2 + 57*o + 1020*o**4 + 123*o = 0. Calculate o.
-2/3, 2/5, 1/2
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