1, 2
Let j(t) be the first derivative of t**7/280 + t**6/120 + 17*t**3/3 - 14. Let h(x) be the third derivative of j(x). Factor h(l).
3*l**2*(l + 1)
Determine r so that -2*r**3 - 2*r**3 + 1014*r + 9*r**3 + 30*r**2 - 969*r = 0.
-3, 0
Let r(c) = -2*c**3 - 4*c**2 + 6*c + 8. Suppose -3*u - u + 5*q - 36 = 0, -8 = -u - 3*q. Let f(w) = -w - 1. Let v(s) = u*f(s) - r(s). Factor v(y).
2*(y - 1)*(y + 1)*(y + 2)
Let v(k) be the second derivative of -k**6/6 + k**5 + 25*k**4/6 - 70*k**3/3 + 75*k**2/2 + 19*k - 2. What is x in v(x) = 0?
-3, 1, 5
Suppose -2*o = -2*p - p - 2, o - 1 = -3*p. Let f = 63772/7 + -9109. Find k, given that p*k**2 - 6/7 - 3/7*k**3 + f*k = 0.
-2, 1
Let g(n) be the second derivative of n**5/20 - n**4/12 - n**3/6 + n**2/2 - 4*n - 5. Let g(v) = 0. Calculate v.
-1, 1
Let i = 9 - 6. Let w = 67 - 64. Factor -i*z - w*z**2 + 0*z + 3*z.
-3*z**2
Let w be 7/(-14) + (-1)/2. Let u(s) = s**2 + 1. Let v be ((-8)/6 - 0)*3. Let x(c) = -3*c**2 - 5. Let g(l) = v*u(l) + w*x(l). What is z in g(z) = 0?
-1, 1
Let q(j) be the second derivative of j**5/120 - j**4/8 - j**3/36 + 3*j**2/4 + 2*j + 43. Determine v so that q(v) = 0.
-1, 1, 9
Suppose -240/7*b**2 + 243/7*b**4 - 3/7 + 54/7*b - 54/7*b**3 = 0. Calculate b.
-1, 1/9, 1
Let l = 1309/2 - 9103/14. Let -36/7*m - 6/7*m**2 - l = 0. What is m?
-5, -1
Let b be 1*(-3)/((-15)/(-25)) + 8. Let l(i) = 3*i**2 + 1. Let q be l(-1). Determine g so that -q*g**b - 6*g**2 - 3*g + g**3 + 0*g = 0.
-1, 0
Let a(k) be the second derivative of -k**5/4 + 14*k**4/3 - 104*k**3/3 + 128*k**2 + 500*k. Find i, given that a(i) = 0.
16/5, 4
Let y(t) = -4*t**3 - 3*t**2 - 3*t. Let f be y(-2). Suppose 13*s = 26*s - f. Factor 4/7*i - 3/7 - 1/7*i**s.
-(i - 3)*(i - 1)/7
Let k(g) be the third derivative of -5*g**8/336 - 9*g**7/70 - g**6/3 - g**5/5 - g**2 + 21*g. Solve k(d) = 0.
-3, -2, -2/5, 0
Let a(y) be the first derivative of y**6/6 - y**5/5 - y**4/4 + y**3/3 + 60. Determine z so that a(z) = 0.
-1, 0, 1
Factor -3/2*v**3 - 162*v + 324 + 27*v**2.
-3*(v - 6)**3/2
Let m(f) = f**2 + 56*f - 54. Let z be m(-57). Let -2/7*o + 2/7*o**z + 0 - 2/7*o**4 + 2/7*o**2 = 0. Calculate o.
-1, 0, 1
Let a(p) be the first derivative of 50*p**6/3 + 93*p**5 + 385*p**4/2 + 565*p**3/3 + 90*p**2 + 20*p + 50. What is h in a(h) = 0?
-2, -1, -2/5, -1/4
Let -208/9*q + 5408/9 + 2/9*q**2 = 0. Calculate q.
52
Let b be (-24)/(-27) + 4/(-18). Let a = -23236/3 - -7746. Factor -a*r**2 + 0 - b*r.
-2*r*(r + 1)/3
Suppose 20 = -3*g - 5*z, 2*g + 0*g + 2*z + 8 = 0. Suppose -25*t + 32*t - 14 = g. Let 9/4*p**3 + 3/4*p - 3*p**5 - 15/4*p**t + 15/4*p**4 + 0 = 0. Calculate p.
-1, 0, 1/4, 1
Let a = 25212 + -25196. Suppose -96 - 2/3*c**2 + a*c = 0. What is c?
12
Let p(z) be the first derivative of 2*z**2 - 5*z + 0*z**4 + 10 - 2/5*z**5 + 4/3*z**3 - 2/15*z**6. Let r(q) be the first derivative of p(q). Factor r(h).
-4*(h - 1)*(h + 1)**3
Let j(l) be the third derivative of l**5/15 - 10*l**4/3 + 153*l**2. Factor j(i).
4*i*(i - 20)
Let y(l) be the first derivative of -l**3/15 + l/5 - 107. Determine x, given that y(x) = 0.
-1, 1
Determine y so that -468*y - 155*y**2 - 6*y**2 + 198*y**3 - 116 + 44*y**4 - 37*y**4 = 0.
-29, -1, -2/7, 2
Let m(h) be the second derivative of -24*h**6/5 + 332*h**5/5 - 123*h**4 + 92*h**3 - 32*h**2 + 19*h + 2. Determine l so that m(l) = 0.
2/9, 1/2, 8
Let x(i) = 154*i**2 - 146*i. Let t(c) = -29*c**2 + 29*c. Let k(f) = -16*t(f) - 3*x(f). Factor k(u).
2*u*(u - 13)
Let t(v) = 18*v**3 + 48*v**2 + 27*v - 36. Let w(c) = c**3 - c**2 + c. Let r(o) = o**2 + 16*o - 1. Let q be r(-16). Let s(y) = q*t(y) + 3*w(y). Factor s(p).
-3*(p + 2)**2*(5*p - 3)
Let w be 45/20*(-16)/6. Let z be w - (-117)/15 - (2 - 1). Find c such that -2/5*c - z + 2/5*c**2 = 0.
-1, 2
Let q(d) be the third derivative of d**6/60 + 21*d**5/10 + 441*d**4/4 + 3087*d**3 + 4*d**2 - 16. Find k, given that q(k) = 0.
-21
Let v be (-1)/(-2)*(39 - 39). Let k(r) be the second derivative of -1/54*r**4 + 6*r + 1/135*r**6 + 0*r**2 + 0 + v*r**5 + 0*r**3. Factor k(y).
2*y**2*(y - 1)*(y + 1)/9
Let p(u) be the first derivative of 5*u**3/3 + 25*u**2 + 125*u + 39. Solve p(m) = 0 for m.
-5
Suppose 1/7*m**4 - 16/7*m**2 + 4/7*m**3 - 16/7*m + 48/7 = 0. Calculate m.
-6, -2, 2
Determine v, given that 18 + 12*v - 3*v**3 + 20*v**2 + 7*v**3 - 28 - 26 = 0.
-3, 1
Let s(b) = 82*b + 8. Let x be s(2). Let c = x - 1546/9. Factor 0 + 0*z**2 + 0*z + c*z**4 - 8/9*z**3.
2*z**3*(z - 4)/9
Let j(h) be the second derivative of 1331*h**6/10 - 363*h**5/5 - 792*h**4 - 1080*h**3 - 648*h**2 + 3*h. Let j(v) = 0. What is v?
-6/11, 2
Let s(a) be the first derivative of 1/15*a**5 - 11 + 0*a + 5/9*a**3 + 1/3*a**4 + 1/3*a**2. Let s(m) = 0. What is m?
-2, -1, 0
Let n be (15/4 + -3)*13*112/819. Factor n*o + 2/3*o**3 + 1/9*o**4 + 4/9 + 13/9*o**2.
(o + 1)**2*(o + 2)**2/9
Let z = -3989/27 + 148. Let i(h) be the second derivative of 1/27*h**6 - 2/9*h**2 - 1/18*h**4 + h + 7/90*h**5 + 0 - z*h**3. Solve i(l) = 0.
-1, -2/5, 1
Let k(t) be the first derivative of -2*t**3/9 - 32*t**2/3 - 40*t + 150. Suppose k(g) = 0. What is g?
-30, -2
Let b = -129 - -1162/9. Let c(p) be the first derivative of b*p**2 + 0*p - 1 - 4/27*p**3 + 1/18*p**4. Determine r, given that c(r) = 0.
0, 1
Let i be (18/12)/((-9)/12). Let h be 25/20 - (0 - (i - -1)). Factor -1/4*n - 1/4*n**2 + 1/4*n**3 + h*n**4 + 0.
n*(n - 1)*(n + 1)**2/4
Let n(z) = -z**2 + 2. Let l(a) = a**2 - 20*a - 38. Let u(p) = -l(p) - 3*n(p). Find x such that u(x) = 0.
-8, -2
Let b(a) be the second derivative of a**5/30 + 2*a**4/9 - 5*a**3/9 + 10*a - 2. Solve b(t) = 0 for t.
-5, 0, 1
Suppose 13 - 4 = -3*j, -5*j = -f + 18. Suppose 0 = -3*z, r + 2*r - 9 = f*z. Factor -s**3 + s - 4 - 9*s + 6*s**r + 7*s**2.
(s - 1)*(s + 2)*(5*s + 2)
What is n in 0*n - 7/11*n**4 - 1/11*n**5 - 5/11*n**2 - n**3 + 0 = 0?
-5, -1, 0
Let x(g) = -g + 6. Let p be x(4). Suppose 4*f**4 - 6*f**2 + 8 - 18*f - p*f**4 + 41*f - 4*f**3 - 15*f = 0. What is f?
-1, 2
Let l(h) = -20157*h**2 + 284*h - 29. Let r(q) = -q**2 + 4. Let x(p) = -5*l(p) - 35*r(p). Solve x(d) = 0.
1/142
Let q = 5 + 5. Let p be (-79)/474*(-36)/2. Factor -3*y**p - 2*y**3 + q - 2*y + 17*y.
-5*(y - 2)*(y + 1)**2
Determine c so that -236*c + 96*c**4 - 298*c**2 + 176*c**3 - 3 - 9 + 346*c = 0.
-3, 1/4, 2/3
Let y(x) = 43 - 3*x + 49 - 36. Let p be y(17). Find a, given that -a**3 + 1/2*a**4 + 1/2 + 1/2*a**p + 1/2*a - a**2 = 0.
-1, 1
Let o = 67 + -64. Factor 4 + 15*f**3 - 4*f**2 - 20*f**3 - 4*f + 9*f**o.
4*(f - 1)**2*(f + 1)
Let 0 - 4/5*z + 4/5*z**2 - 1/5*z**3 = 0. What is z?
0, 2
Suppose -54/7*f**2 + 52/7 - 22/7*f + 22/7*f**3 + 2/7*f**4 = 0. Calculate f.
-13, -1, 1, 2
Let i(r) be the second derivative of 3/5*r**5 + 0 - 3*r**2 + 11/2*r**3 - 13/4*r**4 + 25*r. Find w, given that i(w) = 0.
1/4, 1, 2
Let d be (-13)/(-39) + (-65)/(-39). Let 2*i**4 - 7/2*i**d + 0 - i + 5/2*i**3 = 0. What is i?
-2, -1/4, 0, 1
Suppose 17*k = 23*k + 1350. Let g be (-4)/9*(k/40)/15. Let g*d**2 + 1/6 + 1/3*d = 0. What is d?
-1
Factor -7/2*b**2 + 7/2 - 1/4*b**3 + 1/4*b.
-(b - 1)*(b + 1)*(b + 14)/4
Let h(s) be the second derivative of 0 - 19/40*s**5 - 4/3*s**3 + 25/24*s**4 + 7/60*s**6 + s**2 + 23*s - 1/84*s**7. Solve h(u) = 0.
1, 2
Let 4/3*n**3 - 8/9*n**4 - 16/9*n - 4/9*n**5 + 0 + 16/9*n**2 = 0. Calculate n.
-2, 0, 1
Let l be ((-294)/(-28))/((-846)/110 - 0). Let g = -3/94 - l. Factor 0 - 8/9*z**2 - g*z**3 - 2/9*z**5 - 8/9*z**4 - 2/9*z.
-2*z*(z + 1)**4/9
Let s(y) = -17*y**2 - 471*y - 13. Let p(j) = -4*j**2 - 117*j - 3. Let q(b) = -26*p(b) + 6*s(b). Let q(u) = 0. Calculate u.
-108, 0
Suppose -2*k - 2 = -4. Let n = 3 - k. Suppose 4/3*f**n + 0 + 2/9*f - 4/3*f**4 - 16/9*f**5 + 14/9*f**3 = 0. What is f?
-1, -1/2, -1/4, 0, 1
Determine p, given that 246*p**2 + 253*p**2 - 460*p**2 - 3*p**3 + 18*p + 9*p**3 = 0.
-6, -1/2, 0
Let y(r) = 65*r**2 - 295*r - 1005. Let a(t) = 17*t**2 - 74*t - 251. Let x(h) = -15*a(h) + 4*y(h). Factor x(j).
5*(j - 17)*(j + 3)
Let -9376/5*l**3 - 128/5 - 180*l**5 + 1728/5*l - 4416/5*l**2 - 1032*l**4 = 0. What is l?
-2, 2/15
Let q be -1*(-8 - -9)*0. Let s(u) be the third derivative of -4/105*u**6 + 10*u**2 - 25/84*u**4 + q*u - 1/7*u**3 - 4/15*u**5 + 0. Factor s(k).
-2*(k + 3)*(4*k + 1)**2/7
Let o(p) be the second derivative of p**6/135 - 4*p**5/5 + 36*p**4 - 864*p**3 + 11664*p**2 - 37*p. Solve o(a) = 0 for a.
18
Let v = 108 - 105. Suppos