6 = 0?
-63, -1, 2
Let o be (-44)/154 - ((-108)/(-112) + -2). Find z, given that -1/2*z + 0 + o*z**2 - 1/4*z**3 = 0.
0, 1, 2
Let r(o) be the first derivative of -o**8/1008 + o**7/315 + o**6/360 - o**5/90 + 17*o**2/2 - 7. Let y(z) be the second derivative of r(z). Solve y(j) = 0 for j.
-1, 0, 1, 2
Determine q so that 56/5*q + 113/10 - 1/10*q**2 = 0.
-1, 113
Let i(y) be the first derivative of y**3/9 + 4*y**2/3 + 7*y/3 - 35. Factor i(o).
(o + 1)*(o + 7)/3
Let u(r) be the first derivative of r**6/360 - r**5/120 + 4*r**3 - 20. Let d(y) be the third derivative of u(y). Solve d(f) = 0 for f.
0, 1
Suppose -y - 44*y + 270 = 0. Let t(f) be the third derivative of -1/90*f**5 + 0*f + 1/9*f**3 + 0 + 5/72*f**4 - 6*f**2 - 1/72*f**y. Let t(a) = 0. What is a?
-1, -2/5, 1
Factor 79*c - 2*c - 45 + 13*c + 35*c**2.
5*(c + 3)*(7*c - 3)
Let g = 64 + -60. Suppose 12*l - g = 32. Suppose 0 + h**4 + 1/2*h**3 - 9/4*h - 1/4*h**5 - l*h**2 = 0. What is h?
-1, 0, 3
Suppose -2*g + 6 = -g. What is d in 8*d**2 - g*d**2 - 9*d**4 - 8*d + 3*d**5 + 2*d + 7*d**2 + 3*d**3 = 0?
-1, 0, 1, 2
Let f(l) be the first derivative of -l**3/27 - 2*l**2/3 + 11. Solve f(w) = 0 for w.
-12, 0
Suppose 8*w**2 - 32 + 14 + 33*w - 5*w - 42 = 0. Calculate w.
-5, 3/2
Let m(t) be the first derivative of -t**7/225 - 4*t**6/225 - 11*t**5/450 - t**4/90 + 21*t**2/2 + 11. Let x(c) be the second derivative of m(c). Factor x(h).
-2*h*(h + 1)**2*(7*h + 2)/15
Let z(c) be the first derivative of -2 + 0*c**2 - 1/10*c**5 - 1/8*c**4 - 1/36*c**6 + 0*c - 1/18*c**3. Determine h so that z(h) = 0.
-1, 0
Let k = -20167/9 - -2241. Factor k*v + 0*v**2 - 2/9*v**3 + 0.
-2*v*(v - 1)*(v + 1)/9
Let q = -848 - -852. Factor -80/3*s + 40*s**3 + 52/3*s**2 + 16/3 + 12*s**q.
4*(s + 2)**2*(3*s - 1)**2/3
Let j(g) be the first derivative of -3*g - 7 - 9/16*g**4 + 3*g**2 - 1/4*g**3. Find k, given that j(k) = 0.
-2, 2/3, 1
Let g = -222 - -2000/9. Let k(x) be the first derivative of 6 + 2/3*x**2 + 2*x - g*x**3. Let k(h) = 0. What is h?
-1, 3
Suppose 16 = 20*v - 44. Let k(a) be the first derivative of a**4 - 13 - 8/3*a**v - 2*a**2 + 8*a. Factor k(d).
4*(d - 2)*(d - 1)*(d + 1)
Let z = -1349/6 + 225. Let m(t) be the second derivative of -1/12*t**4 + 0 + 0*t**2 - z*t**3 + 8*t. Determine w, given that m(w) = 0.
-1, 0
Let c(g) = -11*g**2 - 35*g + 46. Let a(o) = o**2 + o - 2. Let i(f) = -18*a(f) - 2*c(f). Factor i(n).
4*(n - 1)*(n + 14)
Let f = -62 + 91. Let n = f - 27. Suppose 4*v**3 - 35*v**4 + 39*v**4 - v**2 - 7*v**n = 0. What is v?
-2, 0, 1
Suppose 413 - 412 = 4*t + 5*d, 2*t + 4*d = -4. Find a, given that 40/3*a**3 - 16*a + 4*a**t + 4*a**2 - 16/3 = 0.
-2, -1/3, 1
Let x(d) = -13*d**2 + 3*d + 12. Let m(t) = -15*t**2 + 3*t + 11. Let g(q) = 6*m(q) - 7*x(q). What is l in g(l) = 0?
-3, 6
Suppose 4*g + t = 20, 3*t - 8 = -3*g + 4*t. Find s, given that -5/6*s**2 - 1/6*s + 0 - 4/3*s**3 - 2/3*s**g = 0.
-1, -1/2, 0
Let k(b) be the second derivative of b**5/20 + 2*b**4/3 - 31*b**3/6 + 11*b**2 + 429*b. Solve k(u) = 0 for u.
-11, 1, 2
Let a(d) be the third derivative of d**8/1008 + d**7/42 + 31*d**6/180 + 17*d**5/90 - 7*d**4/8 - 49*d**3/18 + 38*d**2 - 1. Suppose a(u) = 0. What is u?
-7, -1, 1
Let i = 1966 + -1966. Let p(y) be the second derivative of 4/9*y**2 + 7/18*y**4 - 2/45*y**5 + 11*y - 7/9*y**3 + i. Suppose p(c) = 0. Calculate c.
1/4, 1, 4
Suppose -15*g = -11*g - 16. What is d in -d - 11 + g*d**3 + 15 - 3*d**3 - 4*d**2 = 0?
-1, 1, 4
Let o be (1*-4)/(-38 - -37). Factor 0*h**3 + 0*h + 4/5*h**2 - 4/5*h**o + 0.
-4*h**2*(h - 1)*(h + 1)/5
Factor -24/11*i - 2/11*i**2 + 56/11.
-2*(i - 2)*(i + 14)/11
Let r(m) be the third derivative of m**8/84 - 4*m**7/105 - 7*m**6/30 + 4*m**5/3 - 2*m**4 + 15*m**2 + 3. Suppose r(z) = 0. What is z?
-3, 0, 1, 2
Suppose 279*z**4 - 138*z**4 - 2620*z - 24*z**3 - 131*z**4 - 942*z**2 + 1200 = 0. What is z?
-5, 2/5, 12
Let h(c) = -2*c**2 - 22*c + 123. Let s be h(4). Determine p, given that 1/5*p**2 - 1/5 + 1/5*p**s - 1/5*p = 0.
-1, 1
Suppose -8*s + 12*s - 40 = 0. Factor 26 + 30*b**3 - 11*b**2 - 7*b**2 - 24*b - s + 18*b**4 - 10*b**2.
2*(b + 1)*(b + 2)*(3*b - 2)**2
Let l(w) be the second derivative of w**7/14 + w**6/5 - w**4/2 - w**3/2 - w + 77. Factor l(i).
3*i*(i - 1)*(i + 1)**3
Let f(k) be the second derivative of k**4/96 + 67*k**3/24 + 133*k**2/16 - 7*k + 9. Factor f(d).
(d + 1)*(d + 133)/8
Let p = 452134/263753 - -2/37679. Solve -2/7*r**4 + 18/7 - p*r - 16/7*r**2 + 12/7*r**3 = 0.
-1, 1, 3
Let m = -43 + 48. Let h be ((-198)/20)/11*m/(-3). Factor -3/2*f - h + 3/2*f**2 + 3/2*f**3.
3*(f - 1)*(f + 1)**2/2
Suppose -4*s = -23 + 3. Let y = s + -3. Factor c - 4 - 5*c**y - 42*c**3 + 46*c**3 + 4.
c*(c - 1)*(4*c - 1)
Suppose 5*o + 3*j - 22 = 0, 2*j + 14 = 3*o + 4*j. Determine b so that 1 - 1 - 15*b + 0*b**2 - 5*b**o = 0.
-3, 0
Let z(c) be the second derivative of -c**4/90 + 8*c**3/45 + 11*c**2/5 - 442*c. Find l, given that z(l) = 0.
-3, 11
Let d = 13058 - 91366/7. Find o, given that -d*o**2 - 4/7*o**3 - 128/7 - 128/7*o = 0.
-4, -2
Let c be (3 + 10 - -3) + 2. Suppose 0 = 4*k + 2*k - c. Determine o, given that -4*o**2 + 2*o**2 - 8*o - k - 3 = 0.
-3, -1
Suppose -6*p = 4*p - 30. Let 2/7 - 2/7*t**p - 2/7*t**2 + 2/7*t = 0. What is t?
-1, 1
Let d be 8/212 + 1248/636. Factor -1/3 + 1/6*t**d - 1/6*t.
(t - 2)*(t + 1)/6
Let o(l) be the second derivative of -l**6/360 + l**5/15 - 2*l**4/3 - 5*l**3/6 - 7*l. Let r(j) be the second derivative of o(j). Factor r(h).
-(h - 4)**2
Let j(s) be the second derivative of s**6/6 - s**5/2 - 5*s**4/4 - 6*s - 9. Find t, given that j(t) = 0.
-1, 0, 3
Let f = -54 + 129. Let x = f + -75. Find p such that x*p**2 - 4/7*p**3 + 0 + 4/7*p = 0.
-1, 0, 1
Factor 141*q - 3*q**2 - 59*q - 94*q.
-3*q*(q + 4)
Let f(v) be the first derivative of 7*v**6/40 - 9*v**5/20 - 3*v**4/2 + 2*v**3 + 17*v**2/2 - 33. Let g(a) be the second derivative of f(a). Factor g(b).
3*(b - 2)*(b + 1)*(7*b - 2)
Determine i so that -14*i**2 - 8*i**3 - i**5 + 4*i**4 + 14*i**3 - 3*i**3 + 8*i = 0.
-2, 0, 1, 4
Factor h + 28*h**2 + 480*h**4 - h - 2780*h**5 + 2844*h**5 + 228*h**3.
4*h**2*(h + 7)*(4*h + 1)**2
Let k(z) be the third derivative of z**6/540 + 11*z**5/270 + 19*z**4/108 + z**3/3 + 958*z**2. Factor k(b).
2*(b + 1)**2*(b + 9)/9
Suppose -23 + 7 = -8*s. Let 27*f**2 - 10*f**2 - 7*f**2 - 7*f**s = 0. Calculate f.
0
Let q be (22/(-33))/(10/(-45)). What is i in -2/3*i**q - 2/3*i - 7/3*i**2 + 1 = 0?
-3, -1, 1/2
Let s(l) be the first derivative of 10*l**2 - 20*l - 6 - 5/3*l**3. Solve s(c) = 0 for c.
2
Let k(j) be the second derivative of j**5/20 - 3*j**4/8 - 2*j**3 + 9*j**2/2 - 14*j. Let w(f) be the first derivative of k(f). Let w(l) = 0. Calculate l.
-1, 4
Let b(f) = 4*f**2 - 3*f + 3. Let k be b(1). Solve 18*a**2 - 31*a**2 - 3*a**k + 16*a**2 = 0 for a.
-1, 0, 1
Let v(w) be the third derivative of w**9/241920 - w**5/5 - 5*w**2. Let f(r) be the third derivative of v(r). Factor f(l).
l**3/4
Let o(k) = 4*k**2 + 14*k - 6. Let a(s) = -3*s + 3. Let i(m) = m - 1. Let w(g) = -6*a(g) - 17*i(g). Let q(j) = o(j) - 6*w(j). Find f such that q(f) = 0.
-2, 0
Let u(j) be the second derivative of j**4/96 - 91*j**3/48 - 74*j - 3. Factor u(a).
a*(a - 91)/8
Let u be (-4)/(-5)*(-105)/(-14). Let m be u*(1 - (-2)/(-3)). Factor -6*s**2 - 4*s**3 - 4*s - 4*s**4 - 1 + m*s**4 + s**4.
-(s + 1)**4
Solve 220*q + 2*q**4 - 76*q**2 - 100 - 37*q**2 - 7*q**4 + 50*q**3 - 52*q**2 = 0 for q.
1, 2, 5
Let r(m) be the third derivative of -m**5/20 + 9*m**4/8 + 5*m**3 + 218*m**2. Factor r(k).
-3*(k - 10)*(k + 1)
Let 21/5*d**2 + 0 - 3/5*d**4 + 18/5*d + 0*d**3 = 0. Calculate d.
-2, -1, 0, 3
What is m in 4*m + 4*m + 12*m**2 + 11*m - 6*m + 0*m**3 - m**3 = 0?
-1, 0, 13
Let t(j) = -9*j - 6. Let n be t(-5). Solve 22 + 19 - 4*p - n + 2*p**2 = 0 for p.
1
Let y(c) = -c**2 + 6*c + 19. Let w be y(6). Suppose 3*s + 11 = -u + w, -2*u - s = -6. What is h in -3/4*h - 1/2 - 1/4*h**u = 0?
-2, -1
Let w(d) be the second derivative of -d**4/54 + 8*d**3/9 - 16*d**2 - 6*d - 1. Factor w(c).
-2*(c - 12)**2/9
Factor 2/7*c**5 + 0 - 48/7*c**3 + 52/7*c**2 + 12/7*c**4 - 18/7*c.
2*c*(c - 1)**3*(c + 9)/7
Let x be -1*5 - (-30 - -21). Let q be 16/(-28)*x*(-1)/2. Solve q - 8/7*h + 2/7*h**2 = 0 for h.
2
Let r(s) be the first derivative of -25*s**6/6 + 57*s**5 - 935*s**4/4 + 455*s**3/3 + 600*s**2 - 500*s - 9. Let r(t) = 0. What is t?
-1, 2/5, 2, 5
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