**4 + 0*t**2.
-t**3*(t - 1)*(4*t - 1)/8
Let -18*f**4 - 8*f**3 - 10*f**3 - 14*f**2 - 2*f**5 - 14*f**3 - 14*f**3 + 48*f + 32 = 0. What is f?
-4, -1, 1
Let c(s) be the second derivative of -s**5/20 + 5*s**3/3 + 5*s**2/2 - 93*s. Let u be c(-3). Suppose -4/3 + 10/3*q**u - 2*q = 0. Calculate q.
-2/5, 1
Suppose q + 3*q = 0. Suppose -5*o = -2*j - 2, -6*o + 3*o - 3*j + 18 = q. Let w**3 + 2*w - 3*w**3 + 4*w**3 + w**o + 3*w**2 = 0. What is w?
-1, 0
Let n = -98 + 98. Let p(a) be the second derivative of n - 7*a + 0*a**2 + 0*a**6 + 1/42*a**7 - 1/20*a**5 + 0*a**3 + 0*a**4. Let p(c) = 0. Calculate c.
-1, 0, 1
Factor 0 - 3/2*n**3 + 9/2*n + 3*n**2.
-3*n*(n - 3)*(n + 1)/2
Let j = 9 - 9. Suppose -3*d + 4 = -j*d + 2*g, 4*g + 8 = -2*d. Factor v**3 - 17*v**4 - 13*v**4 + 29*v**d.
-v**3*(v - 1)
Let y(g) be the first derivative of -g**5/150 + g**4/45 + g**3/45 - 2*g**2/15 + 18*g - 3. Let d(q) be the first derivative of y(q). Find z, given that d(z) = 0.
-1, 1, 2
Factor 0 - 2/7*g**3 - 12/7*g - 10/7*g**2.
-2*g*(g + 2)*(g + 3)/7
Let o = -3/8 + 5/8. Let h(b) be the second derivative of -2*b - o*b**3 + 1/48*b**4 + 9/8*b**2 + 0. Find k, given that h(k) = 0.
3
Factor -34*f + 1/2*f**2 + 4*f**3 - 1/2*f**4 + 42.
-(f - 7)*(f - 2)**2*(f + 3)/2
Let v(m) be the first derivative of -3*m**7/280 - m**6/30 - m**5/40 - 11*m**3/3 - 4. Let n(i) be the third derivative of v(i). Factor n(r).
-3*r*(r + 1)*(3*r + 1)
Let r be (-51)/119*(-28)/21. Solve -8/7*b - 4/7*b**2 - r = 0.
-1
Let n(d) be the second derivative of -24*d**7/7 + 22*d**6/5 + 107*d**5/5 - 167*d**4/3 + 146*d**3/3 - 20*d**2 - 14*d - 2. Find l such that n(l) = 0.
-2, 1/3, 1, 5/4
Let j(h) be the first derivative of h**7/840 - 7*h**6/120 + 49*h**5/40 - 343*h**4/24 - 17*h**3/3 - 28. Let v(o) be the third derivative of j(o). Factor v(z).
(z - 7)**3
Let u(q) be the third derivative of q**5/72 - 35*q**4/144 + 25*q**3/18 - 94*q**2. Factor u(r).
5*(r - 5)*(r - 2)/6
Let j(o) = 9*o**2 + 3*o - 12. Let g(s) = s**3 - 9*s**2 - 5*s + 13. Let p(q) = -3*g(q) - 4*j(q). Determine t so that p(t) = 0.
-3, -1, 1
Let l be ((-320)/15)/((-2)/3). Let y be l/(-36)*(3 - (-14)/(-4)). Factor 14/9*u**2 + 0 - y*u + 8/9*u**3.
2*u*(u + 2)*(4*u - 1)/9
Let n(o) = -7*o**4 - 38*o**3 - 87*o**2 - 52*o - 2. Let q(x) = -x**4 + x**3 - x**2 - x - 1. Let c(s) = n(s) - 2*q(s). What is m in c(m) = 0?
-5, -2, -1, 0
Suppose 327*d + 24*d = -149*d + 2500. Factor -6/7*r**3 - 4/7*r**2 - 1/7*r**d + 0 - 1/7*r - 4/7*r**4.
-r*(r + 1)**4/7
Suppose 200*a - 412*a + 16 = -204*a. Solve -1/4*x**a + 11/4*x + 3 = 0.
-1, 12
Suppose -10*c = -23 + 3. Let -3/7 + 3/7*j**c + 0*j = 0. Calculate j.
-1, 1
Suppose 3*b - 8*b + 10 = 4*h, -b - 7 = -h. Suppose 13*o - 21 - h = 0. Suppose -16/3*f**2 + 8/3*f**3 - 22/3*f - o = 0. What is f?
-1/2, 3
Let q(z) = -4*z**3 + 4*z**2 + 2. Let p(v) = v**4 - 13*v**3 + 12*v**2 + 7. Let a be (-2)/(-3) - (-44)/33. Let u(j) = a*p(j) - 7*q(j). Factor u(b).
2*b**2*(b - 1)*(b + 2)
Let s be ((-25)/15)/((-13)/12 + 1). Suppose 4*w = -5*z + s, 0 = -0*z - 2*z + 5*w - 25. Factor 2/5*t**4 - 1/5*t + 0*t**3 + 1/5*t**5 - 2/5*t**2 + z.
t*(t - 1)*(t + 1)**3/5
Let m(k) = -6*k**3 + 9*k**2 - k + 1. Let o be m(1). Let l(x) be the first derivative of -o + 0*x - 2/9*x**2 - 2/9*x**3 - 1/18*x**4. Solve l(w) = 0.
-2, -1, 0
Let u(j) be the first derivative of j**6/420 + j**5/210 + j**2 - 1. Let n(t) be the second derivative of u(t). Factor n(q).
2*q**2*(q + 1)/7
Suppose -58*z + 92*z = 102. Let d(o) be the second derivative of 0 + 3*o**2 + 3/2*o**z + 6*o + 1/4*o**4. Solve d(f) = 0.
-2, -1
What is q in -2/5*q**3 + 2/5*q - 8/5*q**2 + 8/5 = 0?
-4, -1, 1
Determine h, given that 4/3 + 9*h - 7/3*h**2 = 0.
-1/7, 4
Let m(z) be the second derivative of 0*z**3 - 1/45*z**6 - 7*z + 0 + 0*z**2 + 1/30*z**5 + 1/9*z**4. Factor m(y).
-2*y**2*(y - 2)*(y + 1)/3
Suppose 8*k - 21 = 59. Determine c so that 5*c**5 + 32*c - c**5 + 3*c**2 - k*c**2 + 16 + 11*c**2 - 20*c**3 - 4*c**4 = 0.
-1, 2
Let u(m) be the first derivative of -2*m**5/55 - 2*m**4/11 - 10*m**3/33 - 2*m**2/11 + 145. Factor u(n).
-2*n*(n + 1)**2*(n + 2)/11
Factor -124 - 112*c + 22*c - 38*c - 4*c**2.
-4*(c + 1)*(c + 31)
Let l = 25 - -19. Suppose -23*z + 4 - 30*z**2 - 17*z**3 + 12*z**3 - l - 37*z = 0. Calculate z.
-2
Let y(z) be the first derivative of -z**6/30 - 3*z**5/25 + 3*z**4/20 + 7*z**3/15 - 3*z**2/5 + 182. Let y(c) = 0. What is c?
-3, -2, 0, 1
Let f be (-6)/(-2) + (0 - -1)/(9/(-24)). Determine j, given that -1/3*j**3 + 2/3*j**2 + f*j - 2/3 = 0.
-1, 1, 2
Let b(m) = -39*m**2 - 324*m - 660. Let q(z) = -23*z**2 - 195*z - 396. Let r(x) = 7*b(x) - 12*q(x). Factor r(w).
3*(w + 2)*(w + 22)
Factor 12/7 + 2/7*x**4 + 38/7*x + 6*x**2 + 18/7*x**3.
2*(x + 1)**3*(x + 6)/7
Let d(z) = -z + 7. Let w be d(5). Factor -48 - 89*y - 41*y - 27*y**4 - 62*y - 179*y**3 - 264*y**w + 35*y**3.
-3*(y + 2)**2*(3*y + 2)**2
Let i(k) = -k**2 - 17*k + 19. Let p be i(-13). Suppose s**5 - p*s**4 + s**5 + 71*s**4 = 0. What is s?
0
Let g = -48 + 48. Let z be g/(-2) + 1/3. Determine h, given that 0*h + 0 - 1/3*h**2 - 2/3*h**3 - z*h**4 = 0.
-1, 0
Let u(r) = -r - 2. Let b be u(-2). Let c(f) be the second derivative of b*f**2 + 0*f**3 - 7*f - 1/27*f**4 - 1/90*f**5 + 0. Factor c(g).
-2*g**2*(g + 2)/9
Let k(s) be the second derivative of s**4/48 + 7*s**3/24 - 15*s**2/4 + 574*s. Factor k(d).
(d - 3)*(d + 10)/4
Let u be (4/2)/((-4)/(-14)). Let q(p) = -p**3 + 6*p**2 + 7*p + 5. Let f be q(u). What is b in -6*b**f + 2*b**2 - 14*b**4 + 0*b**3 - 10*b**3 - 4*b**2 = 0?
-1, -1/3, 0
Suppose -2*u - 41*z + 38*z + 4 = 0, u - 2*z - 2 = 0. Let y(k) be the first derivative of 1/6*k**4 + 2 + 3*k**u + 0*k + 4/3*k**3. Factor y(w).
2*w*(w + 3)**2/3
Let j(l) = -l**2 - 4*l + 14. Let f(k) = k**2 + 30*k - 37. Let q be f(-31). Let h be j(q). Determine u so that 0 + 1/6*u**h + 1/6*u = 0.
-1, 0
Suppose 0*t - b = -4*t + 15, -5*t + 6 = 3*b. Let p be (1 + 0 - 4)*-1. Factor 17*m**p - 6*m**t + 0*m**2 + 5*m**2 - 5*m**3 + m.
m*(2*m + 1)*(3*m + 1)
Suppose 5*f**4 + 89*f**3 + 6876 + 7314*f**2 - 1969*f**2 - 49980*f + 401*f**3 + 45144 + 5640*f**2 = 0. What is f?
-51, 2
Let w = -23 - -23. Suppose -5*y + w*y + 3*j = 2, -5*j + 20 = 0. Solve 20 + 5*f**2 - 20*f + 0 + 0*f**y = 0 for f.
2
Let z be 0 + (-3 - -1) + -13 + 3. Let j(f) = 9*f**2 - 36*f - 120. Let d(y) = y**2 - 1. Let w(g) = z*d(g) + j(g). Find r such that w(r) = 0.
-6
Factor 41/6*t - 3/2*t**2 + 10/3.
-(t - 5)*(9*t + 4)/6
Let a(t) be the third derivative of -t**8/84 + 8*t**7/105 + 13*t**6/10 - 46*t**5/15 - 40*t**4/3 - 822*t**2. Let a(b) = 0. Calculate b.
-5, -1, 0, 2, 8
Let q be (-688)/(-168)*(-6)/(-44). Let c = -3/11 + q. Factor 8/7*g**2 + 8/7*g**4 - c*g - 12/7*g**3 - 2/7*g**5 + 0.
-2*g*(g - 1)**4/7
Factor 165*m**3 - 84*m**3 + 6*m + 9*m**2 - 78*m**3.
3*m*(m + 1)*(m + 2)
Solve -2/9*n**5 + 10/3 + 172/9*n**2 + 22/9*n**4 + 118/9*n + 12*n**3 = 0.
-1, 15
Suppose -7*l - l + 16 = 0. What is x in -241*x**l + 18 + 243*x**2 + 0 - 12*x = 0?
3
Let i be ((-56)/(-70))/((-4)/(-10)). Factor 3*t**2 + t**4 - 3*t**2 - 2*t**4 - t**i - 3*t + 2 + 3*t**3.
-(t - 2)*(t - 1)**2*(t + 1)
Let k(s) be the third derivative of -s**5/270 - 47*s**4/18 - 2209*s**3/3 - 7*s**2 + 1. Factor k(y).
-2*(y + 141)**2/9
Let b(h) be the second derivative of -h**2/2 - 4*h. Let d(f) = f**2 + f - 8. Let x(n) = -6*b(n) + d(n). Find u, given that x(u) = 0.
-2, 1
Let 50215 - 77161 + 2*z**3 + 13824*z + 288*z**2 + 186075 + 62055 = 0. Calculate z.
-48
Let a(u) be the third derivative of 0 + 1/8*u**4 + 1/60*u**5 + 1/3*u**3 + 16*u**2 + 0*u. Solve a(n) = 0 for n.
-2, -1
Let c(l) = 2*l**3 - l**2 + l + 2. Let m be c(-1). Let p(j) = -85*j**2 - 170*j - 35. Let v(x) = -5*x**2 - 10*x - 2. Let u(w) = m*p(w) + 35*v(w). Solve u(o) = 0.
-2, 0
Let n = 91/121 - -3719/847. Solve n*q + 3/7*q**2 + 33/7 = 0 for q.
-11, -1
Let j = 22 - 16. Let f = 8 - j. Factor -2/5*t**f + 0 + 2/5*t**3 - 4/5*t.
2*t*(t - 2)*(t + 1)/5
Determine m so that 7*m**4 - 8*m**4 - 5*m**3 + 9*m**4 - 4*m**5 + m**3 = 0.
0, 1
Factor -2474*f**3 - 36*f - 3*f**4 + 58*f**2 + 2480*f**3 - 25*f**2 - 108.
-3*(f - 3)**2*(f + 2)**2
Let o(g) be the second derivative of -g**6/180 - 7*g**5/60 - g**4/2 - g**3/3 - 7*g**2/2 - 25*g. Let a(y) be the second derivative of o(y). Factor a(p).
-2*(p + 1)*(p + 6)
Suppose -45 = -3*w + 3*j - 36, 0 = 5*w + 3*j - 7. Factor -q + q**3 + 0 + 5/2*q**4 - 5/2*q**w.
q*(q 