a such that a**4 - 13*a**2 + v*a**5 + 26*a**3 - 21*a**4 - 3*a**2 + 6*a**3 = 0.
0, 1, 2
Solve 65/6 + 10*m - 5/6*m**2 = 0 for m.
-1, 13
Let h(b) = -b - 5. Let g be h(-8). Let f = -3 + g. Factor 1/2*j**4 + f*j + 0*j**3 - j**2 + 1/2.
(j - 1)**2*(j + 1)**2/2
Suppose d - 4 = -d + 2*r, 4*d + 3*r - 8 = 0. Find c such that d*c**4 + 10 + 45*c**2 + 3*c**4 + 25*c**3 - 4*c + 39*c = 0.
-2, -1
Suppose -5*i = -3*g + 2, -13 = -3*g - 1. Let 10*k + 42*k**4 - 27*k**4 + 46*k**i - 11*k**2 + 40*k**3 = 0. What is k?
-1, -2/3, 0
Suppose 3*o = -c + 5, -2*c = -5*o + c + 27. Factor 16*q**2 + q**o + 5*q + 11*q**3 - 9*q - 8.
4*(q + 1)**2*(3*q - 2)
Let d be (-48 + 53)*(-8)/(-20). Suppose 0 - 4/9*z + 2/3*z**d = 0. What is z?
0, 2/3
Let a(o) be the second derivative of -o**7/504 - o**6/72 + 7*o**4/6 + o**3/3 - 31*o - 1. Let t(n) be the third derivative of a(n). Let t(b) = 0. Calculate b.
-2, 0
Solve 1/3*c**4 + 23/3*c**2 - 8/3*c**3 - 28/3*c + 4 = 0 for c.
1, 2, 3
What is y in y - 3453*y**3 - y + 3445*y**3 - 4*y**4 = 0?
-2, 0
Let y(o) be the second derivative of -o**6/105 + o**5/35 + 6*o**4/7 + 88*o**3/21 + 64*o**2/7 - 7*o + 1. Factor y(i).
-2*(i - 8)*(i + 2)**3/7
Suppose 9*z + 8 = 7*z. Let k be ((-5)/(-25))/(-1 + (-5)/z). Determine l so that 2/5 - 6/5*l + k*l**2 = 0.
1/2, 1
Let u(d) = -30*d**3 + 4*d**2 + 27*d - 4. Let p(o) = -58*o**3 + 8*o**2 + 53*o - 8. Let n(t) = 3*p(t) - 5*u(t). Solve n(y) = 0.
-1, 1/6, 1
Let r(z) be the third derivative of -z**6/216 + 4*z**5/45 + 5*z**4/54 - 101*z**2. Find d, given that r(d) = 0.
-2/5, 0, 10
Let z(h) be the second derivative of -h**6/150 + 3*h**5/100 + h**4/30 - 2*h**3/5 + 4*h**2/5 - h + 38. Solve z(j) = 0 for j.
-2, 1, 2
Let k be -8*(11/2 - 6). Let m(y) be the third derivative of 0 + 0*y + 1/660*y**6 + 7*y**2 - 1/11*y**3 - 5/132*y**k - 1/330*y**5. Suppose m(f) = 0. Calculate f.
-1, 3
Factor 90 - 18*g + g + 5*g**2 - 38*g.
5*(g - 9)*(g - 2)
Let n(q) = 5*q**2 - 2*q + 7. Let i(t) = -t**2 - t**2 + t + 0 + 0*t**2 - 3. Suppose 3 + 0 = -c. Let r(g) = c*n(g) - 7*i(g). Suppose r(f) = 0. Calculate f.
-1, 0
Let h be ((-4655)/30)/(-19) - 8. Let v(j) be the first derivative of 1/9*j**3 - 5 - h*j**2 + 0*j. Find a such that v(a) = 0.
0, 1
Let g(w) be the second derivative of 0 + 46*w + 1/165*w**6 - 1/22*w**4 + 1/110*w**5 - 5/33*w**3 - 2/11*w**2. Factor g(q).
2*(q - 2)*(q + 1)**3/11
Let w(c) be the second derivative of -1/189*c**7 - 2/135*c**6 + 0 + 0*c**2 + 1/27*c**3 + 0*c**5 + 2*c + 1/27*c**4. Determine d, given that w(d) = 0.
-1, 0, 1
Let g = -1013 - -90158/89. Let f = g - -265/178. Factor -3/2*z**4 + 0 + 0*z - 3*z**3 - f*z**2.
-3*z**2*(z + 1)**2/2
Let p(v) be the second derivative of v**4/24 - 53*v**3/12 + 51*v**2/2 + 165*v. Factor p(y).
(y - 51)*(y - 2)/2
Let x = -259 + 263. Let m(s) be the first derivative of 1/2*s**2 - 1/4*s**x + s + 1 - 1/3*s**3. Let m(k) = 0. What is k?
-1, 1
Let s = -4645 - -13937/3. Factor -11/6*i - s*i**3 - 13/6*i**2 - 1/3.
-(i + 1)*(i + 2)*(4*i + 1)/6
Let a(d) be the second derivative of 5*d**7/42 - d**6/3 - d**5/2 + 5*d**4/3 + 5*d**3/6 - 5*d**2 - 51*d + 2. Suppose a(i) = 0. What is i?
-1, 1, 2
Let k = -3 - -5. Suppose -6*c + k*c = -3*c. Factor -2/9*w**2 + 0*w + 2/9*w**3 + c.
2*w**2*(w - 1)/9
Suppose 5*b = 2*x + 12, 0*x = 3*b - x - 7. Let -3*d - 4*d**4 - 4*d + 5*d**3 + b*d + 10*d**2 - 6*d**4 = 0. Calculate d.
-1, 0, 1/2, 1
Let g(s) be the third derivative of -s**6/24 + 21*s**5/4 - 1705*s**4/8 + 4805*s**3/6 + 243*s**2. Determine a, given that g(a) = 0.
1, 31
Let -4/7 + 0*i**2 - 6/7*i + 2/7*i**3 = 0. Calculate i.
-1, 2
Factor 0*f - 1/5*f**4 + 3/5*f**3 + 0 + 2*f**2.
-f**2*(f - 5)*(f + 2)/5
Let f(o) be the first derivative of 0*o - 9/2*o**2 + o**3 + 7. Suppose f(k) = 0. Calculate k.
0, 3
Let i be (3 - 1) + (-6 - (-4 - 0)). Suppose -5*b = -3*b + 5*c - 19, i = b - 2*c + 4. Factor 0 - 22/3*g**b + 4/3*g.
-2*g*(11*g - 2)/3
Let s(x) be the first derivative of 5*x**3/27 - 139*x**2/9 - 112*x/9 + 176. Suppose s(m) = 0. Calculate m.
-2/5, 56
Determine n so that 2/7*n**2 + 17672/7 - 376/7*n = 0.
94
Let y(f) be the second derivative of 0*f**3 - 1/20*f**5 + 1/6*f**4 + 0 + 0*f**2 + 2*f. Factor y(t).
-t**2*(t - 2)
Suppose 71 - 65 = 3*p. Let a be ((-194)/(-6))/(2/9). Suppose -417/2*l**3 + 285/2*l**4 + 6 - 75/2*l**5 - 48*l + a*l**p = 0. Calculate l.
2/5, 1
Find n such that -1 + 2 + 35*n - n**2 - 43*n - 1 = 0.
-8, 0
Let y(a) = a**3 + 5*a**2 - 2*a. Suppose -k + 2*k + 6 = 0. Let q(n) = -2*n**3 - 6*n**2 + 2*n. Let l(o) = k*y(o) - 4*q(o). Suppose l(v) = 0. Calculate v.
0, 1, 2
Suppose 8*b - 49 - 199 = 0. Suppose -b = -d - 26. Solve -27/7*o**3 + 0 + 0*o - 6/7*o**2 - 12/7*o**d - 36/7*o**4 = 0 for o.
-2, -1/2, 0
Let r be ((-16)/(-6))/((-24)/(-18)). Factor -1/3*t**3 + 0 - 1/3*t**4 + 1/3*t + 1/3*t**r.
-t*(t - 1)*(t + 1)**2/3
Let v(u) be the third derivative of u**8/110880 + u**7/3960 + u**6/396 + 3*u**5/10 - 21*u**2. Let b(c) be the third derivative of v(c). Factor b(j).
2*(j + 2)*(j + 5)/11
Suppose 3*y + 3*r - 42 = 0, -5*y - 6 = -5*r - 96. Factor 21*n**4 - y*n**4 - 3*n - 5*n**2 + 5*n**3 - 2*n.
5*n*(n - 1)*(n + 1)**2
Let c = 102 + -100. Factor -101*h**4 - 5*h**c - h**3 + 11*h**3 + 48*h**4 + 48*h**4.
-5*h**2*(h - 1)**2
Let k(r) be the second derivative of 0*r**6 + 0 + 1/294*r**7 - 1/35*r**5 + 1/7*r**2 - 19*r + 1/14*r**3 - 1/42*r**4. Find b, given that k(b) = 0.
-1, 1, 2
Let a be ((-4)/64*4)/((-3)/4). Let y(f) be the first derivative of -4/3*f**2 - 4/3*f - a*f**3 + 1. Find u, given that y(u) = 0.
-2, -2/3
Let t(d) be the first derivative of -d**6/6 + 2*d**5/5 + 2*d**4 + 2*d**3/3 - 7*d**2/2 - 4*d + 8. Let t(p) = 0. What is p?
-1, 1, 4
Let x(h) be the second derivative of 1/2*h**3 - 1/15*h**6 + 7/30*h**5 + 1/126*h**7 - 1/3*h**2 - 4/9*h**4 + 0 - 2*h. Factor x(t).
(t - 2)*(t - 1)**4/3
Find l such that -61*l**2 + 12*l**2 + 219*l + l**3 + 315 + 50*l**2 + 40*l**2 = 0.
-35, -3
Let z(a) be the second derivative of -a**7/1680 + a**6/144 - a**5/80 - 3*a**4/16 + a**3 - 4*a. Let y(m) be the second derivative of z(m). Factor y(q).
-(q - 3)**2*(q + 1)/2
Let k(w) be the first derivative of -w**4/18 + 4*w**2/3 + 12*w - 16. Let d(n) be the first derivative of k(n). What is y in d(y) = 0?
-2, 2
Let i be 12/4 - 1/1. Let a be i + 0/((-3)/(-1)). What is y in 6*y**2 + 3*y**3 + y**4 - 5*y**2 - 3*y**3 - a*y**3 = 0?
0, 1
Let w(r) = -4*r**2 - 24*r + 32. Let v(i) = -4*i**2 - 23*i + 30. Let q(a) = 4*v(a) - 3*w(a). Determine t, given that q(t) = 0.
-6, 1
Let z(d) be the first derivative of 3*d**3 - 3*d**2/2 - 42*d + 125. Factor z(t).
3*(t + 2)*(3*t - 7)
Factor 76*i**2 + 32*i**3 + 40 + 88*i + 13/2*i**4 + 1/2*i**5.
(i + 2)**4*(i + 5)/2
Let q(s) be the first derivative of 7*s**3 - 6*s**2 - 237. Factor q(m).
3*m*(7*m - 4)
Determine z so that -50176/5 - 4/5*z**2 + 896/5*z = 0.
112
Suppose 3*f + 2*z = 19, 3*f = 4*f + 3*z - 11. Let b(r) be the third derivative of 0 + 3*r**2 + 0*r**3 + 1/90*r**f + 0*r + 1/18*r**4. Factor b(u).
2*u*(u + 2)/3
Solve 12*i**3 - i**3 + 4*i**3 + 78*i - 201*i**2 = 0.
0, 2/5, 13
Let j = 250 + -248. Let i(g) be the first derivative of -1/5*g**5 - 1/2*g**4 - 1/3*g**3 + 0*g**j + 0*g - 7. Let i(l) = 0. Calculate l.
-1, 0
Let d(t) be the first derivative of 2*t**6/3 - 16*t**5/5 + 2*t**4 + 16*t**3/3 - 6*t**2 + 936. Determine j so that d(j) = 0.
-1, 0, 1, 3
Let i(z) = -z**4 + z**3 - 2*z**2 + z - 1. Let t(h) = -4*h**4 - 2*h**3 - 13*h**2 - 3. Let b(q) = 3*i(q) - t(q). Factor b(x).
x*(x + 1)**2*(x + 3)
Let a be (-3)/(-2)*(-14)/(-21). Let p = a + 3. Determine r so that -4/3*r**3 + 16/3*r + 0 - 2/3*r**p + 8/3*r**2 = 0.
-2, 0, 2
Let q = -6 + 8. Suppose 0 = q*n + 3*n - 10. Factor 4*i**2 + 8*i**3 - 10*i**3 - n*i**4 + 0*i**3.
-2*i**2*(i - 1)*(i + 2)
Let b(z) be the second derivative of -z**6/270 + 13*z**4/108 + 2*z**3/9 - 648*z. Factor b(x).
-x*(x - 4)*(x + 1)*(x + 3)/9
Let j(h) = h**5 - h**3 + 2*h**2 + h + 1. Let o(q) = -10*q**5 + 4*q**4 + 11*q**3 - 14*q**2 - 7*q - 7. Let g(k) = -28*j(k) - 4*o(k). Factor g(n).
4*n**3*(n - 2)*(3*n + 2)
Let a(c) = -30*c**2 - 28*c - 8. Let w(x) = 19*x**2 + 18*x + 5. Let l(g) = 5*a(g) + 8*w(g). Let l(u) = 0. Calculate u.
-2, 0
Let q(m) be the second derivative of -m**6/15 + m**5/2 + m**4/6 - 5*m**3/3 + 2*m + 3. Find d such that q(d) = 0.
-1, 0, 1, 5
Let d(i) = -80*i**4 + 105*i**3 - 50*i**2 - 90*i + 55. Let z(q) = -11*q**4 + 15*q**3 - 7*q**2 - 13*q + 8