 Suppose v = 3*v + 2. Suppose s + s = -a + 12, 5*s = 25. Let g(u) = u**2 - u - 1. Let z(h) = a*g(h) + v*m(h). Factor z(w).
-(w - 2)*(w - 1)
Let i(y) be the first derivative of -y**4/12 - 11*y**3/3 - 121*y**2/2 + y + 2. Let j(g) be the first derivative of i(g). Factor j(b).
-(b + 11)**2
Let i(v) be the third derivative of 1/40*v**6 + 0*v**3 - 7*v**2 - 1/4*v**4 + 0*v + 0 + 1/20*v**5. What is c in i(c) = 0?
-2, 0, 1
Let t(n) = -n**3 + 5*n**2 + n - 1. Suppose 2 = 3*s - 13. Let r be t(s). Find f such that -4 + 13*f - 12*f**3 - f**2 - 2*f + f - 4*f**r = 0.
-2, 1/2
Let f = 564 + -1690/3. Solve -f*o**2 + 2/3*o + 0 = 0 for o.
0, 1
Let g(q) = -2*q**2 + 2*q + 146. Let p be g(9). Find w such that 4/3*w**3 + 0 + 0*w + 16/3*w**p = 0.
-4, 0
Suppose 2*j - 130 = -4*s, -4*j + s - 58 = -345. Find k such that -k**3 - 3*k**3 + j - 12*k**2 + 16*k - 71 = 0.
-4, 0, 1
Let v(o) = 10*o**3 - 336*o**2 - 3*o + 273. Let y(i) = 35*i**3 - 1180*i**2 - 10*i + 955. Let z(g) = 25*v(g) - 7*y(g). Find q such that z(q) = 0.
-1, 1, 28
Let r = -4976 - -4976. Solve -6/5*l - 2/5*l**2 + r + 2/3*l**3 - 2/15*l**4 = 0.
-1, 0, 3
Let m be 0/(-11)*(-1 + 2). Determine n, given that -n**2 + 50 + m*n**2 + 3*n**2 - 4*n - 16*n = 0.
5
Suppose j + 4*j = 5*b - 20, 5*j - 7 = -4*b. What is a in -1/8*a**2 - 1/8*a + 1/8*a**b + 1/8 = 0?
-1, 1
Factor 9/2 - 2*s**2 - 11/4*s + 1/4*s**3.
(s - 9)*(s - 1)*(s + 2)/4
Let q = -3641 - -3643. Let 0*i - 1/3 - 1/3*i**4 + 2/3*i**q + 0*i**3 = 0. Calculate i.
-1, 1
Find g, given that 96/5*g**3 + 4/5*g**5 + 0 + 64/5*g - 32/5*g**4 - 128/5*g**2 = 0.
0, 2
Suppose 12/5*l**2 + 2/5*l**3 + 18/5*l + 0 = 0. What is l?
-3, 0
Let r = -54 - -56. Factor -14*p**2 - 2 + 6*p**3 + 20*p**r - 2*p + 4*p**4 - p**3 + 5*p**3.
2*(p + 1)**3*(2*p - 1)
Suppose 6*a - 12*a = 0. Let d be -1*(-3 - -1) + a/2. Determine k, given that -2/5*k**d + 0 + 2/5*k = 0.
0, 1
Factor -729/4*v**2 - 1/4*v**3 - 177147/4*v - 14348907/4.
-(v + 243)**3/4
Let k(r) be the second derivative of -4*r**7/49 + 38*r**6/105 - 2*r**5/7 - 5*r**4/7 + 32*r**3/21 - 8*r**2/7 + 29*r - 2. Determine g so that k(g) = 0.
-1, 1/2, 2/3, 1, 2
Let y(d) be the second derivative of 0*d**2 + 1/3*d**3 + 0 - 1/40*d**5 - 1/60*d**6 - 48*d + 1/6*d**4. Suppose y(u) = 0. What is u?
-2, -1, 0, 2
Let g(w) be the third derivative of w**9/90720 - w**8/15120 + w**7/7560 + 11*w**5/60 - 4*w**2. Let c(y) be the third derivative of g(y). Factor c(f).
2*f*(f - 1)**2/3
Let t(j) be the second derivative of 1/4*j**5 + 0 + 0*j**3 + 0*j**2 + 15*j + 0*j**4 + 1/3*j**6. Factor t(k).
5*k**3*(2*k + 1)
Let k(c) be the first derivative of 4*c - 7/2*c**2 + 15 + 2/3*c**3 + 1/4*c**4. Factor k(z).
(z - 1)**2*(z + 4)
Determine v so that 0 + 27*v**2 - 183/4*v**3 - 135/2*v**4 - 3*v - 75/4*v**5 = 0.
-2, 0, 1/5
Let a = -119 - -126. Let f be (-1 - -3)*(-5 + a). Suppose 8/3 - 2*o**5 - 2*o**2 - 2/3*o**f + 22/3*o**3 - 16/3*o = 0. Calculate o.
-2, -1, 2/3, 1
Let g = -408 - -919. Let i be (-2)/(-7) - g/(-98). Determine j, given that 13/2*j - 1 - i*j**2 = 0.
2/11, 1
Let g(j) be the first derivative of 15/8*j**4 + 22 - 3/5*j**5 + 2*j**3 - 9/4*j**2 + 0*j. Solve g(z) = 0.
-1, 0, 1/2, 3
Let d = 111/4 + -301/12. Let p(v) be the first derivative of 0*v**2 - d*v**3 - v**4 - 7 + 0*v. Let p(t) = 0. Calculate t.
-2, 0
Let g(p) be the first derivative of -29/3*p**3 - 5/2*p**4 - 24 + 6*p + 5/2*p**2. Let g(f) = 0. Calculate f.
-3, -2/5, 1/2
Let w(x) be the second derivative of -5*x**4/12 - 275*x**3/3 - 15125*x**2/2 - 4*x + 3. Factor w(y).
-5*(y + 55)**2
Suppose -i = 33*i. Let j(m) be the third derivative of 0 + 13*m**2 - 1/30*m**6 + 1/15*m**5 + i*m + 0*m**3 + 1/3*m**4. Find z, given that j(z) = 0.
-1, 0, 2
Solve -2/3*x**2 - 1/6*x**3 + 5/2*x + 3 = 0 for x.
-6, -1, 3
Let a be (13 - 10)*6/9. Let x(s) be the second derivative of -3*s - a*s**2 - 1/3*s**3 + 0 + 1/6*s**4. What is l in x(l) = 0?
-1, 2
What is y in 10/7*y**5 - 8/7*y + 178/7*y**3 + 136/7*y**2 + 76/7*y**4 - 32/7 = 0?
-4, -2, -1, 2/5
Let n(k) = 99*k - 10098. Let h be n(102). Factor h + 2*a**3 + 32/9*a - 16/3*a**2 - 2/9*a**4.
-2*a*(a - 4)**2*(a - 1)/9
Let k(f) be the first derivative of 5*f**4/4 - 26*f**3/3 + 25*f**2/2 - 10*f - 11. Let s(x) = x**2. Let m(p) = k(p) + 6*s(p). Factor m(l).
5*(l - 2)*(l - 1)**2
Suppose -56*z**2 + 80/3*z**3 - 49/6*z**5 + 24*z + 0 + 14*z**4 = 0. What is z?
-2, 0, 6/7, 2
Let n(b) = 4*b - 6. Let l(q) = -3*q + 5. Let w(v) = -5*l(v) - 4*n(v). Let j(s) = -s**2 + 4*s + 5. Let z(r) = 2*j(r) - 2*w(r). Factor z(h).
-2*(h - 6)*(h + 1)
Suppose -2*j = 2*k - 2, 3*k - 4*j = k + 8. Suppose 8*b + 2*b**k + 24 - 12*b - 6*b**2 = 0. Calculate b.
-3, 2
Let z(s) be the first derivative of 1/7*s**2 - 4 + 1/21*s**3 + 1/7*s. Factor z(t).
(t + 1)**2/7
Let x(l) be the second derivative of l**7/210 + l**6/90 - l**5/15 + 2*l**3/3 + 7*l. Let z(t) be the second derivative of x(t). Factor z(b).
4*b*(b - 1)*(b + 2)
Let s(j) be the first derivative of -j**6/105 + j**5/70 + j**4/42 - j**3/21 - 2*j + 4. Let a(v) be the first derivative of s(v). Let a(w) = 0. What is w?
-1, 0, 1
Let p = 85 - 80. Let t(b) be the first derivative of 1/5*b**4 + 0*b**3 - 2 - 1/15*b**6 + 0*b**p + 0*b - 1/5*b**2. Suppose t(k) = 0. What is k?
-1, 0, 1
Suppose 4*a - 6 - 2 = 0. Let 2*j**4 + 2*j - 5*j + 3*j**3 + 0*j**4 + j**a - 2*j**2 - 1 = 0. Calculate j.
-1, -1/2, 1
Let l = 23/87 + 2/29. Let h(p) be the first derivative of 1/3*p - l*p**4 + 1/15*p**5 + 2/3*p**3 - 2/3*p**2 - 1. Find b such that h(b) = 0.
1
Let w(u) be the third derivative of -u**7/1995 + u**6/1140 + u**5/285 + 257*u**2. Factor w(l).
-2*l**2*(l - 2)*(l + 1)/19
Let x(t) be the first derivative of -2*t**6/27 - 28*t**5/45 - 5*t**4/3 - 4*t**3/3 + 614. Determine j so that x(j) = 0.
-3, -1, 0
Let b(c) be the second derivative of 0 + 0*c**2 - 1/110*c**5 + 4/33*c**3 + 37*c + 1/22*c**4. Factor b(t).
-2*t*(t - 4)*(t + 1)/11
Let m(v) be the first derivative of 28 + 4/3*v - 1/9*v**6 - 2/3*v**4 + 5/3*v**2 + 4/9*v**3 - 8/15*v**5. Find r such that m(r) = 0.
-2, -1, 1
Let h(n) be the second derivative of n**7/168 + n**6/120 - n**5/60 - 41*n**3/6 - 36*n. Let q(d) be the second derivative of h(d). Solve q(x) = 0 for x.
-1, 0, 2/5
Suppose -92 - 528 = 20*w. Let v = w - -31. Factor v*q - 1/3*q**5 + 1/3*q**2 + 0 - 1/3*q**4 + 1/3*q**3.
-q**2*(q - 1)*(q + 1)**2/3
Let l(c) = 4*c**3 - 7*c**2 + 6*c - 7. Let k be l(4). Suppose 157*j - k*j = 0. Factor j - 12/7*r**3 - 4/7*r + 16/7*r**2.
-4*r*(r - 1)*(3*r - 1)/7
Let f(c) be the third derivative of -c**8/756 - c**7/945 + c**6/90 + 7*c**5/270 + c**4/54 - 131*c**2 + 1. Suppose f(m) = 0. Calculate m.
-1, -1/2, 0, 2
Factor -5*w**4 - 3360*w**2 - 2394*w - 6*w**5 + 165*w**4 + 2*w**5 - 1432*w**3 + 630*w.
-4*w*(w - 21)**2*(w + 1)**2
Let n(q) be the second derivative of -q**6/720 - q**5/240 - q**3 - 12*q. Let y(l) be the second derivative of n(l). Find v such that y(v) = 0.
-1, 0
Let w(j) = -35*j**2 - 2*j + 1. Let i be w(1). Let k = i - -41. Factor 14*b**4 - k*b**3 - 7*b**3 - 18*b**4 - 4*b**2 + 8 + 12*b.
-4*(b - 1)*(b + 1)**2*(b + 2)
Let n(b) be the third derivative of 1/15*b**6 + 1/6*b**5 + 0*b - 9*b**2 + 1/6*b**4 + 1/105*b**7 + 0*b**3 + 0. Let n(p) = 0. What is p?
-2, -1, 0
Find t, given that -28/3*t**2 + 10/9*t**4 - 32/9*t**3 + 10/9 - 32/9*t = 0.
-1, 1/5, 5
Suppose -20667 + 249*f - 3/4*f**2 = 0. What is f?
166
Suppose z + 6 = 3*z. Factor -11*a + 11*a + 27 - 8*a**z - 18*a**2 - a**4.
-(a - 1)*(a + 3)**3
Let n(r) be the first derivative of 0*r**3 + 1/20*r**5 - 5 + 0*r - 1/2*r**2 - 1/8*r**4. Let m(d) be the second derivative of n(d). Solve m(s) = 0 for s.
0, 1
Let r(v) be the second derivative of -2*v**6/45 - v**5/15 + v**4/9 + 2*v**3/9 - 160*v. What is k in r(k) = 0?
-1, 0, 1
Factor -24/13*u + 2 - 2/13*u**2.
-2*(u - 1)*(u + 13)/13
Suppose 12*m - 13*m - 9*m**2 + 15*m**5 - 69*m**3 + 28*m - 21*m**5 - 39*m**4 = 0. What is m?
-3, -1, 0, 1/2
Let l(t) be the third derivative of t**7/42 + 25*t**6/24 - 9*t**5/4 - 125*t**4/24 + 65*t**3/3 + 3*t**2 - 75*t. Find z, given that l(z) = 0.
-26, -1, 1
Let x(j) = 2*j**2 - j - 1. Let o(h) = -18*h**2 + 5*h + 13. Let v(m) = o(m) + 3*x(m). Factor v(k).
-2*(k - 1)*(6*k + 5)
Let f(b) be the first derivative of -b**3/2 + 3*b**2/4 + 9*b + 349. Solve f(p) = 0 for p.
-2, 3
Suppose 0 = -3*y + 4 - 4. Let v(n) be the second derivative of -1/4*n**4 + 2*n + y - n**3 + 0*n**2. Factor v(l).
-3*