*i**6 + 2*i**2 - 1088/5*i**5 - 2*i**4 + 11 - 8*i + 196/3*i**3. Suppose q(d) = 0. What is d?
-1, -1/2, -1/4, 1/4, 2/7
Let n(p) = 4*p - 4. Let j be 19/((-76)/24) + 2. Let l = 2 + 3. Let f(b) = -b**3 + b**2 + 5*b - 5. Let c(u) = j*f(u) + l*n(u). Solve c(d) = 0 for d.
0, 1
Let q(x) = -26*x**3 - 103*x**2 - 99*x - 17. Let g(k) = -26*k**3 - 104*k**2 - 98*k - 16. Let v(s) = 5*g(s) - 4*q(s). Find j, given that v(j) = 0.
-3, -1, -2/13
Factor 11*p**4 + 808*p - 826*p + 3*p**4 + 3*p**4 + 36*p**2 + 74*p**3 + 3*p**4.
2*p*(p + 1)*(p + 3)*(10*p - 3)
Let f = 4 + -1. Let v(q) = 4*q - 4. Let x be v(2). Factor -4 + x + 3*g - f*g**2 + 6.
-3*(g - 2)*(g + 1)
Let d(b) be the second derivative of b**4/16 - 149*b**3/8 - 225*b**2/4 + 3*b + 133. Factor d(h).
3*(h - 150)*(h + 1)/4
Solve 11/2 - 13/4*o + 1/4*o**2 = 0.
2, 11
Let f(d) be the third derivative of -d**6/120 - 3*d**5/20 - d**4 - 10*d**3/3 + 254*d**2. Factor f(j).
-(j + 2)**2*(j + 5)
Let k be (-3)/6 - 11/(-2). Let o = k + 1. Factor -3*i**3 - 4*i - 3*i + 4*i + o*i**3.
3*i*(i - 1)*(i + 1)
Let r(c) be the first derivative of 25*c**4/6 - 440*c**3/9 + 164*c**2/3 - 64*c/3 + 103. Factor r(f).
2*(f - 8)*(5*f - 2)**2/3
Let w be (-44)/2475*9*-5. Factor -2*s - w - 2/5*s**3 - 8/5*s**2.
-2*(s + 1)**2*(s + 2)/5
Let n(c) be the third derivative of 0 + 1/40*c**6 + 3/20*c**5 - 3/70*c**7 + 0*c**3 + 10*c**2 + 0*c - 1/8*c**4. What is x in n(x) = 0?
-1, 0, 1/3, 1
Let z(p) be the first derivative of -2*p**3/45 + 14*p**2/15 - 22*p/5 + 45. Find r such that z(r) = 0.
3, 11
Suppose 0 = 5*q - 2*q - 18. Suppose 2*d = -a + 9, 3*d = -2*d - 2*a + 22. Solve -q + 1 + 8*g**3 - d*g**4 + 5 = 0.
0, 2
Let g(x) be the first derivative of -x**5/150 + 4*x**3/45 + 9*x - 6. Let c(a) be the first derivative of g(a). Find y, given that c(y) = 0.
-2, 0, 2
Suppose 330*t + 5*t**3 + 1415*t**2 - 189 - 171 - 1500*t**2 = 0. What is t?
2, 3, 12
Suppose 28*c - 17*c - 44 = 0. Let v(u) be the first derivative of 0*u - 8/5*u**3 - 4 - 3/4*u**c - 6/5*u**2 - 3/25*u**5. Suppose v(o) = 0. Calculate o.
-2, -1, 0
Let r(y) = -y**2 + 5*y + 8. Let b be r(6). Factor 5*h**b + 11*h - 5*h - h.
5*h*(h + 1)
Determine c, given that -3/8*c**4 + 3/8*c**5 + 3/2*c**2 - 3/2*c**3 + 0*c + 0 = 0.
-2, 0, 1, 2
Suppose 473 + 64 = 3*l. What is i in -46*i**2 + 354*i**2 + 16 - 51*i + l*i + 196*i**3 = 0?
-1, -2/7
Let m(y) = y**3 - 21*y**2 + 20*y + 6. Let d be m(20). Factor -d*z - 68 + 39 + 32 + 3*z**2.
3*(z - 1)**2
Let n be (-3 - -5)*(0 - -2). Let h(x) be the first derivative of 22/25*x**5 - 4/15*x**6 + 2/15*x**3 - 9/10*x**n + 1/5*x**2 + 0*x - 7. Factor h(a).
-2*a*(a - 1)**3*(4*a + 1)/5
Let f(j) = -j - 14. Let s be f(-16). Let c(v) = -4*v + v**3 + 12*v**2 - v + s*v. Let g(x) = -x**3 - x. Let h(q) = -c(q) - 5*g(q). Solve h(b) = 0 for b.
0, 1, 2
Solve 0 - 2/3*k**2 - 8/9*k**3 + 4*k + 2/9*k**4 = 0 for k.
-2, 0, 3
Let c(h) be the second derivative of h**5/300 - h**4/20 + 3*h**3/10 + 6*h**2 + 6*h. Let x(a) be the first derivative of c(a). Find t such that x(t) = 0.
3
Let q(y) be the first derivative of -y**6/6 - 2*y**5 - y**4/4 + 28*y**3 + 54*y**2 + 427. Solve q(t) = 0.
-9, -2, 0, 3
Let b(g) be the first derivative of 2*g**5/5 - 21*g**4/8 + 37*g**3/6 - 6*g**2 + 2*g + 70. Solve b(j) = 0 for j.
1/4, 1, 2
Let m(w) be the first derivative of -2*w**3/3 + 238*w**2 - 28322*w + 478. Suppose m(r) = 0. What is r?
119
Let m(d) = -d**3 + 3*d**2 - d + 1. Let i(w) = 5*w**3 - 84*w**2 + 75*w + 128. Let g(z) = i(z) + 6*m(z). Factor g(y).
-(y - 2)*(y + 1)*(y + 67)
Let h(o) be the first derivative of -2*o**5/11 + 17*o**4/22 - 16*o**3/33 - 12*o**2/11 - 43. Factor h(m).
-2*m*(m - 2)**2*(5*m + 3)/11
Suppose -5*q - 3*q = -32. Suppose 8 + 3 = -3*y - 4*h, -14 = 2*y + q*h. Solve 4/7 + 4*i**y - 8/7*i**2 - 2*i - 2*i**5 + 4/7*i**4 = 0.
-1, 2/7, 1
Let l = 183 + -1279/7. Find s such that l*s**4 + 10/7*s**2 + 8/7*s**3 + 4/7*s + 0 = 0.
-2, -1, 0
Let s(f) be the second derivative of -f**6/45 - 22*f**5/5 - 65*f**4/3 - 388*f**3/9 - 43*f**2 + 479*f - 2. Factor s(q).
-2*(q + 1)**3*(q + 129)/3
Let h = -86 - -88. Factor 68*s**h - 91*s**2 + 50*s**2 + 6*s + 20*s**3 + s**3.
3*s*(s + 1)*(7*s + 2)
Let i(y) = -y**2 + 18*y - 65. Let n be i(13). Let f(r) be the second derivative of 0*r**2 - r**3 + 3/4*r**4 - 2*r + n - 3/20*r**5. Find w such that f(w) = 0.
0, 1, 2
Let r(n) be the first derivative of -n**6/135 + n**5/30 - 4*n**3/27 + 12*n - 15. Let f(b) be the first derivative of r(b). Factor f(x).
-2*x*(x - 2)**2*(x + 1)/9
Let i be 0*((-4)/6)/(144/(-108)). Let h(p) be the third derivative of 0 + i*p - 1/30*p**6 - 8/3*p**3 - 3*p**2 - 4/3*p**4 - 1/3*p**5. Factor h(z).
-4*(z + 1)*(z + 2)**2
Let b(n) be the first derivative of n**6/300 - n**5/30 + 2*n**4/15 - 4*n**3/15 + 3*n**2 + 7. Let u(v) be the second derivative of b(v). What is z in u(z) = 0?
1, 2
Let c(p) be the second derivative of -24*p - 15/2*p**2 + 5/24*p**4 - 5/12*p**3 + 0. Solve c(w) = 0 for w.
-2, 3
Let g(i) = i**2 + i - 1. Let x be g(1). Factor -2*p - p**3 + 0 + 3*p**2 + 1 - x.
-p*(p - 2)*(p - 1)
Let j(r) = r**4 - r**2 + r + 1. Let h(k) = -28*k**4 + 4*k**3 + 48*k**2 - 24*k - 24. Let n(y) = h(y) + 24*j(y). What is i in n(i) = 0?
-2, 0, 3
Let x(j) be the first derivative of j**6/54 - j**5/45 - j**4/6 - 2*j**3/27 + 5*j**2/18 + j/3 - 30. Let x(g) = 0. Calculate g.
-1, 1, 3
Let u(n) be the third derivative of 0*n**3 + 0*n**5 + 0*n**7 + 1/40*n**6 + 0 - 1/224*n**8 - 1/16*n**4 + 0*n - 27*n**2. Factor u(k).
-3*k*(k - 1)**2*(k + 1)**2/2
Let j(z) be the third derivative of z**8/1008 - 4*z**7/315 + z**6/15 - 8*z**5/45 + 2*z**4/9 + 145*z**2. Solve j(f) = 0.
0, 2
Factor 2*o**2 - 38 + 8*o + 24*o + 4*o.
2*(o - 1)*(o + 19)
Let m(v) be the third derivative of -52*v**7/105 - 7*v**6/18 + 41*v**5/45 - v**4/9 - 15*v**2 + 5*v. Determine d, given that m(d) = 0.
-1, 0, 2/39, 1/2
Suppose 3*u + 29 - 41 = 0. Let f(t) be the first derivative of -16/3*t - 4/3*t**3 + 1/6*t**4 + 3 + u*t**2. Determine y so that f(y) = 0.
2
Let y(o) be the third derivative of -o**8/110880 - o**7/5544 - o**6/660 + 7*o**5/60 - 7*o**2. Let m(g) be the third derivative of y(g). Factor m(n).
-2*(n + 2)*(n + 3)/11
Suppose 2*t = 4*l - 18, -6 = 18*l - 17*l + 3*t. Solve 0 - 2/7*b**2 - 2/7*b + 2/7*b**4 + 2/7*b**l = 0 for b.
-1, 0, 1
Let w be (-1)/(-20) + 1/5. Let s = 13/132 - -43/66. Find z such that s*z**2 + 0 + w*z**4 + 3/4*z**3 + 1/4*z = 0.
-1, 0
Let f = 264/655 - -52/131. Find i, given that 8/5*i**2 - 18/5*i + f = 0.
1/4, 2
Let i(a) = 10*a**4 - 15*a**3 + 24*a**2 - 19*a + 7. Let h(q) = -3*q**4 + 5*q**3 - 8*q**2 + 6*q - 2. Let s(z) = -7*h(z) - 2*i(z). Suppose s(l) = 0. Calculate l.
0, 1, 2
Factor -4*i**2 + 30*i**3 - 507*i + 44*i**2 + 324 - 6*i**4 + 18*i**2 + 93*i + 8*i**4.
2*(i - 2)*(i - 1)*(i + 9)**2
Let o(x) = -34*x**4 + 8*x**3 + 8*x**2 + 14*x. Let s(z) = 2*z**4 - z. Let h(g) = 2*o(g) + 28*s(g). Factor h(p).
-4*p**2*(p - 2)*(3*p + 2)
What is r in 54 - 11*r**2 - 8*r**2 + 29*r**2 - 8*r**2 + 24*r = 0?
-9, -3
Let v = 201 - 204. Let m be v + 10/(-10) - (-26)/6. Suppose 1/3*t - 2/3 + m*t**2 = 0. What is t?
-2, 1
Solve -9/7*a**4 - 4/7*a**5 - 9/7*a**2 - 4/7*a + 26/7*a**3 + 0 = 0 for a.
-4, -1/4, 0, 1
Suppose -s + 63 = -0*s. Find a, given that -s*a**2 + 9*a**4 + 6*a**3 + 5 + 12*a**4 - 3 + 24*a + 10 = 0.
-2, -2/7, 1
Let a(c) be the first derivative of c**7/1575 - c**5/150 - c**4/90 - 9*c**2 - 34. Let r(g) be the second derivative of a(g). Factor r(p).
2*p*(p - 2)*(p + 1)**2/15
Suppose 3*c + 9 = 0, 0 = 2*t - 7*t + c + 23. Suppose 20*s**3 + 6*s**5 - 28*s + 29*s**5 - 10 + 25*s**t - 70*s**2 - 27*s + 55*s**4 = 0. Calculate s.
-1, -2/7, 1
Let t(b) be the first derivative of -b**4 - 20*b**3/3 + 4*b**2 + 96*b + 38. Factor t(u).
-4*(u - 2)*(u + 3)*(u + 4)
Let g(t) be the third derivative of -1/210*t**6 + 1/105*t**5 - 1/735*t**7 + 0 - 1/21*t**3 + 1/1176*t**8 + 1/84*t**4 - 10*t**2 + 0*t. Let g(v) = 0. Calculate v.
-1, 1
Let l(j) = -2*j**3 - 40*j**2 - 164*j + 489. Let m(p) = -2*p + 1. Let x(z) = l(z) - 5*m(z). Factor x(k).
-2*(k - 2)*(k + 11)**2
Let i(c) be the second derivative of -5/12*c**4 - 5/3*c**3 + 0 - 5/2*c**2 - 11*c. Suppose i(j) = 0. Calculate j.
-1
Suppose -2*d = 3*t + 3, 3*d - d - t - 1 = 0. Let l be (-4)/(-30)*6/4. Factor -2/5*i**3 + d*i - l*i**4 - 1/5*i**2 + 0.
-i**2*(i + 1)**2/5
Let x(b) be the first derivative of -b**5/110 + b**4/22 - b**3/11 + b**2/11 