-1, 1, 2
Let c be 0 + 7 + (-24)/(1 - -5). Determine j, given that 1/7*j**c - 16/7 - 9/7*j**2 + 24/7*j = 0.
1, 4
Solve 16*i**2 - 33*i**3 + 38*i**4 + 2*i**3 + 23*i**3 - 42*i**3 - 4*i**5 = 0 for i.
0, 1/2, 1, 8
Let o(b) = 42*b**3 + 63*b**2 + 3*b - 3. Let d be 10*(28/8 + -4). Let g(w) = -21*w**3 - 31*w**2 - 2*w + 2. Let n(j) = d*g(j) - 2*o(j). Factor n(q).
(q + 1)*(3*q + 2)*(7*q - 2)
Let v = -30 + 66. Let k = -34 + v. What is u in 9 + k*u + 0*u**3 - 2*u**3 + 2*u**2 - 11 = 0?
-1, 1
Let 15*g**2 + 4*g**5 - 66*g**2 - 48*g**4 + 11*g**2 + 127*g**3 - 43*g**3 = 0. Calculate g.
0, 1, 10
Let v(b) be the third derivative of -b**6/24 - 11*b**5/60 - 7*b**4/24 - b**3/6 + 14*b**2. Factor v(s).
-(s + 1)**2*(5*s + 1)
Suppose 3*l + 65 = 197. Let g be ((-2)/(-30))/1 + l/132. Suppose -g*f + 0*f**3 - 1/5*f**4 + 3/5*f**2 + 0 = 0. What is f?
-2, 0, 1
Let y(q) be the third derivative of -1/30*q**5 + 0*q + 0 - 13/6*q**4 - 169/3*q**3 + 19*q**2. Factor y(v).
-2*(v + 13)**2
Let y(c) = -7*c**3 + 4*c**2 - 15*c - 4. Let h(g) = -4*g**3 + 2*g**2 - 8*g - 2. Let w be 2/7 + (-79)/7. Let v(f) = w*h(f) + 6*y(f). Factor v(q).
2*(q - 1)*(q + 1)**2
Suppose -8 - 125/3*m**3 + 20/3*m + 146/3*m**2 + 25/3*m**4 = 0. What is m?
-2/5, 2/5, 2, 3
Let r(h) = 2*h**3 + 35*h**2 + 76*h + 37. Let c(p) = 4*p**3 + 71*p**2 + 150*p + 73. Let q(t) = -3*c(t) + 5*r(t). What is k in q(k) = 0?
-17, -1
Let k(w) be the first derivative of w**4/12 - 4*w**3 + 22*w**2 - 128*w/3 - 344. Factor k(d).
(d - 32)*(d - 2)**2/3
Suppose 0 = 10*m - 11*m + 2. Factor -186*i + 177*i + 5*i**m - 2*i**2.
3*i*(i - 3)
Let q(o) be the second derivative of -o**4/24 - 7*o**3/4 + 23*o**2/2 + o - 42. Solve q(f) = 0.
-23, 2
Let u(f) be the second derivative of 2*f**7/21 - 104*f**6/15 + 622*f**5/5 + 468*f**4 + 486*f**3 - 2*f + 24. Suppose u(r) = 0. What is r?
-1, 0, 27
Let g be 1 + -8 + 590/84. Let s(x) be the second derivative of -4*x + 0 - g*x**4 + 0*x**3 + 1/7*x**2. Find m such that s(m) = 0.
-1, 1
Suppose -9*g + 162 = -0*g. Let u be (-10)/3*g/(-42). What is n in -u*n - 4/7 + 2/7*n**4 - 6/7*n**2 + 2/7*n**3 = 0?
-1, 2
Let w(f) be the first derivative of -f**5 + 65*f**4/4 - 110*f**3/3 - 220. Let w(h) = 0. Calculate h.
0, 2, 11
Let y(v) = -4*v + 6*v + 6*v - 7 - 7*v**2. Let g(o) = -2*o**2 + 2*o - 5*o**2 + 8*o**2 - 2 - 3*o**2. Let s(n) = 22*g(n) - 6*y(n). Find p, given that s(p) = 0.
-1
Let q be -3*(-9)/6*(-8)/(-12). Suppose -g = 2*g - 15. Let q*w - 3*w**2 + 3*w**2 - 2*w**2 + 4 - g*w = 0. Calculate w.
-2, 1
Let r(g) be the third derivative of -g**6/48 - 11*g**5/24 - 95*g**4/48 - 15*g**3/4 - 134*g**2. Factor r(u).
-5*(u + 1)**2*(u + 9)/2
Factor -14400/7 + 68*j**2 - 13920/7*j - 4/7*j**3.
-4*(j - 60)**2*(j + 1)/7
Find y such that 65*y**4 + 20*y**3 - 25*y**2 - 8*y**5 - 7*y**5 + 13*y**3 + 22*y**3 = 0.
-1, 0, 1/3, 5
Let d(o) = o**2 - 2. Let r be d(2). Suppose -y - 4*s = 2, y + 3*s = 3*y - 7. Factor -59*w + 0*w**r + 63*w - 4*w**y.
-4*w*(w - 1)
Factor 2/11*x**4 + 18/11*x**2 - 20/11*x**3 + 0 + 0*x.
2*x**2*(x - 9)*(x - 1)/11
Determine i, given that -6 - 2/3*i + 3/2*i**2 + 1/6*i**3 = 0.
-9, -2, 2
Let s(c) = -34*c + 1229. Let l be s(36). Suppose 2/3*v**l + 14/3*v**3 + 10/3*v**4 - 8/3 - 2/3*v**2 - 16/3*v = 0. Calculate v.
-2, -1, 1
Let b(f) be the second derivative of 3/70*f**5 - 25*f + 0*f**2 + 1/294*f**7 + 1/42*f**3 + 1/21*f**4 + 0 + 2/105*f**6. Factor b(a).
a*(a + 1)**4/7
Let p = -8 - -13. Suppose 0 = -a + 9 + p. Factor v**3 + 2*v - 24*v**2 + 13*v**2 + a*v**2.
v*(v + 1)*(v + 2)
Let m(p) = -6*p**2 - 24*p - 129. Let g(x) = 7*x**2 + 24*x + 126. Let u(j) = -5*g(j) - 6*m(j). Factor u(l).
(l + 12)**2
Let q(t) be the third derivative of 0*t**4 - 1/360*t**5 + 0 + 0*t**3 - 1/420*t**7 - 1/2016*t**8 - 1/240*t**6 + 0*t - 5*t**2. Find a, given that q(a) = 0.
-1, 0
Let x = -21/37 + 211/111. Let p(q) be the second derivative of x*q**2 + 0*q**4 + 2/3*q**3 - 1/15*q**5 - 9*q + 0. Factor p(c).
-4*(c - 2)*(c + 1)**2/3
Let c(k) be the third derivative of 25*k**8/336 + k**7/6 - k**6/3 - k**5/3 - 253*k**2. Determine s, given that c(s) = 0.
-2, -2/5, 0, 1
Let z(n) be the third derivative of n**6/32 - n**5/12 - 5*n**4/96 + 5*n**3/12 - 193*n**2. What is p in z(p) = 0?
-2/3, 1
Let v(p) be the first derivative of -3*p**4/4 - 5*p**3 + 36*p**2 + 200. Factor v(r).
-3*r*(r - 3)*(r + 8)
Let d(w) be the first derivative of 4/45*w**6 + 11/24*w**4 + 1/12*w**2 - 1/3*w**5 - 4 - 3*w - 5/18*w**3. Let g(h) be the first derivative of d(h). Factor g(p).
(p - 1)**2*(4*p - 1)**2/6
Let p(v) be the third derivative of -v**5 + 0*v**3 + 5/3*v**4 + 0*v + 0 + 1/4*v**6 + 21*v**2 - 1/42*v**7. Factor p(j).
-5*j*(j - 2)**3
Let y(b) = b + 1. Let h(q) = -5*q**2 + 22*q + 177. Let t(x) = h(x) + 3*y(x). Determine c so that t(c) = 0.
-4, 9
Let g(p) = -p**2 - 8*p + 8. Let d = -5 + -3. Let i be g(d). Factor 3*f**4 + 2*f - i*f**3 + 13*f**3 - 7*f**3 - 3*f**2.
f*(f - 1)*(f + 1)*(3*f - 2)
Let x(s) be the second derivative of 0 + 0*s**2 + 1/15*s**6 + 3/10*s**5 - 2/3*s**3 - 1/21*s**7 - 1/6*s**4 + 23*s. Determine j, given that x(j) = 0.
-1, 0, 1, 2
Let s(i) = -8*i**2 + 17*i + 3. Let n = -20 + 10. Let j be (-24 - -19)*8/n. Let v(x) = -3*x**2 + 6*x + 1. Let d(f) = j*s(f) - 11*v(f). Factor d(a).
(a + 1)**2
Suppose 3*g = -12*g - 2610. Let p = -174 - g. Factor -1/2*x**2 + 0 + p*x.
-x**2/2
Suppose -4*r - u - 3*u = -4, r - 13 = 3*u. Factor -2*x**3 - 2*x**r - x**3 - 2*x**4 - x**3.
-4*x**3*(x + 1)
Let p be ((-57)/(-38))/(3/((-30)/(-8))). Let 3/4*f**2 + 0*f - 15/8*f**5 + 0 - 3/4*f**4 + p*f**3 = 0. What is f?
-1, -2/5, 0, 1
Let s = 45 + -43. Solve 29*x**3 - 3*x - 25*x**3 - 2*x**4 + 2*x**s - x = 0.
-1, 0, 1, 2
Let q(k) be the first derivative of 5*k**6/18 + 7*k**5/5 - 5*k**4/12 - 19*k**3/3 + 6*k**2 + 862. Solve q(p) = 0 for p.
-3, 0, 4/5, 1
Suppose 10 = -6*b + 11*b. Solve -3*v + 6*v**3 + 463*v**2 - 463*v**b - 3*v**5 = 0 for v.
-1, 0, 1
Factor 0 - 22/15*a + 2/15*a**2.
2*a*(a - 11)/15
Let c(x) be the third derivative of 0 + 1/12*x**5 - 5/3*x**3 + 0*x - 5/24*x**4 - 9*x**2. Solve c(h) = 0 for h.
-1, 2
Factor 137*n + 60 + 54 + 9*n + 16 + n**2 - 15*n.
(n + 1)*(n + 130)
Let t be 4/(0 - (0 + -2)). Let b(f) = 12*f - 5. Let y be b(t). Factor y*u**2 - 20*u + u**2 + 4*u**3 + 8 + 0*u - 8*u**2 - 4*u**4.
-4*(u - 1)**3*(u + 2)
Determine a so that -9*a**3 - 94*a**2 - 9*a**3 + 4*a**3 + 140*a + 17 - 49 = 0.
-8, 2/7, 1
Let r(k) = k - 13. Let n be r(15). Let f(a) = -6*a + 14*a**n + 2*a - 20 - 17*a**2. Let h(o) = -o**2 - o - 7. Let w(u) = 3*f(u) - 8*h(u). Factor w(v).
-(v + 2)**2
Let i(w) be the first derivative of -w**4/3 - 272*w**3/9 - 520*w**2/3 - 1024*w/3 + 647. Solve i(a) = 0.
-64, -2
Suppose -4*v + 5 = 3*m, -3*m + 6 = -5*v - 8. Factor -5*j + 0*j**m + j + 8*j**2 - 2*j**3 - 2*j**3.
-4*j*(j - 1)**2
Find f such that -137 + 33*f**2 - 21*f**3 + 62 + 75 - 15*f + 3*f**4 = 0.
0, 1, 5
Solve 2/7*f**2 + 8/7 + 8/7*f = 0 for f.
-2
Let -3/7*x**5 - 96/7*x**2 - 36/7*x - 30/7*x**4 - 87/7*x**3 + 0 = 0. What is x?
-6, -2, -1, 0
Factor -24/7*u**4 + 0 - 18/7*u**3 - 4/7*u**2 - 10/7*u**5 + 0*u.
-2*u**2*(u + 1)**2*(5*u + 2)/7
Let i = -57 + 82. Suppose 2*c + 2*c = 5*h + 25, i = -4*c - 5*h. What is u in -1/3*u + c + 2/3*u**2 - 1/3*u**3 = 0?
0, 1
Let f be (0*(0 + (-2)/2))/1. Let t(d) be the third derivative of 0 + 2*d**2 + 1/40*d**6 + 0*d**5 + 0*d**3 + f*d - 1/8*d**4. Factor t(l).
3*l*(l - 1)*(l + 1)
Let s(p) be the third derivative of -4*p**2 + 0*p + 0*p**3 + 1/108*p**4 - 1/270*p**5 + 0. Solve s(v) = 0.
0, 1
Let u(g) = 3*g**2 + 450*g + 51992. Let p(b) = -7*b**2 - 897*b - 103988. Let t(y) = 2*p(y) + 5*u(y). Factor t(h).
(h + 228)**2
Let o(x) be the second derivative of 0*x**2 - 10*x + 5/6*x**3 - 5/2*x**4 + 0. Let o(j) = 0. What is j?
0, 1/6
Let h(x) be the third derivative of -x**7/105 - x**6/12 - x**5/5 + 81*x**2. Factor h(d).
-2*d**2*(d + 2)*(d + 3)
Let a(x) be the second derivative of -x**5/10 - 17*x**4/48 - 5*x**3/12 - x**2/8 + x + 22. Find s such that a(s) = 0.
-1, -1/8
Let k(z) = -3*z**3 + 25*z - 1. Let u be k(-3). What is r in 2/13*r**3 - 4/13*r**4 + 0 - 6/13*r**u + 0*r + 0*r**2 = 0?
-1, 0, 1/3
Let x(a) be the third derivative of a**7/504 + 5*a**6/144 + a**5/6 - a**4/6 - 13*a**2. Let y(d) be the second derivative of x(d). What is z in y(z) = 0?
-4, -1
Suppose 5*u + 2 - 12 = 0. Suppose -g - u*g + 9 = 0. Factor -5*x - x + 2*x**g + 4*x.
2*x*(x - 1)*(x + 1)
Suppose -1/6