 = 0. What is v?
-2, 1
Let y(j) be the third derivative of j**7/5880 - j**5/840 - j**3/2 - 10*j**2. Let m(w) be the first derivative of y(w). Factor m(g).
g*(g - 1)*(g + 1)/7
Let q be (16 + -4)*(-2)/(-6). Suppose h - q = -3*b, -b = 4*h + h + 22. Determine w so that 4*w**2 + 3*w**3 + b*w**2 - w**3 + 2*w - 3*w**2 = 0.
-1, 0
Let n(w) be the first derivative of 2*w**5/35 + w**4/14 - 4*w**3/21 + 648. Factor n(j).
2*j**2*(j - 1)*(j + 2)/7
Suppose 4 = -2*g, -u = -4*u + 2*g + 82. Suppose 29*p**2 + 2*p**3 - 43*p**2 + u*p**2 + 8 + 18*p = 0. What is p?
-4, -1
Let q(g) be the first derivative of -g**6/540 + g**5/45 - g**4/9 - 7*g**3/3 - 35. Let f(y) be the third derivative of q(y). Factor f(n).
-2*(n - 2)**2/3
Let h be 12/(-20) + 2 - 2/5. Let f(p) = p**4 + p**2 + p. Let u(i) = i**4 + 8*i**3 - 7*i**2 + 7*i. Let y(n) = h*u(n) - 3*f(n). Determine l so that y(l) = 0.
0, 1, 2
Let v(i) = -6*i**4 + 20*i**3 - 24*i**2 - 8*i - 6. Let b(g) = 6*g**4 - 20*g**3 + 23*g**2 + 6*g + 5. Let p(f) = 6*b(f) + 5*v(f). Determine d, given that p(d) = 0.
0, 1/3, 1, 2
Let h = 41 + -121/3. Let o(v) be the second derivative of 0 + 8*v + 0*v**2 + h*v**3 - 1/3*v**4. Factor o(z).
-4*z*(z - 1)
Find p such that 3/2*p**2 + 0 + 0*p - 7/2*p**3 = 0.
0, 3/7
Let s(y) = y**2 + 8*y + 6. Let u be s(-7). Let d be (-9 - -7) + (-1)/u - -5. Factor 1/5*o**2 + 0*o + 3/5*o**3 + 0 + 2/5*o**d.
o**2*(o + 1)*(2*o + 1)/5
Let k(o) be the second derivative of o**5/60 - o**4/8 + o**3/3 - 4*o**2 - 14*o. Let x(h) be the first derivative of k(h). Factor x(i).
(i - 2)*(i - 1)
Factor -12*a**2 - 1/3*a**5 - 16*a**3 - 13/3*a**4 + 0*a + 0.
-a**2*(a + 1)*(a + 6)**2/3
Let d(r) be the second derivative of -r**10/20160 + r**9/2016 - r**8/560 + r**7/420 - r**4 + 17*r. Let b(k) be the third derivative of d(k). Factor b(z).
-3*z**2*(z - 2)**2*(z - 1)/2
Let v(u) be the first derivative of -u**6/18 + 2*u**5/15 - u**4/12 + 86. Determine d so that v(d) = 0.
0, 1
Let q be (1/(-3))/(-11 - 524/(-48)). Let x(z) be the third derivative of -1/80*z**6 + 1/35*z**7 + 0*z**5 + 0 + 0*z**q + 4*z**2 + 0*z + 0*z**3. Factor x(l).
3*l**3*(4*l - 1)/2
Let m(y) be the first derivative of 15/4*y**4 + 18*y - 57/2*y**2 + 8*y**3 + 12. What is q in m(q) = 0?
-3, 2/5, 1
Let b(n) be the first derivative of 5*n**4/4 - 5*n**3 - 5*n**2/2 + 15*n + 117. Factor b(a).
5*(a - 3)*(a - 1)*(a + 1)
Let q be 8/8 - 201/72. Let i = -9/8 - q. Suppose 2/3*o - i*o**2 - 2/3*o**3 + 2/3 = 0. Calculate o.
-1, 1
Let f(l) = -l**2 - 19*l + 30. Let v(i) = 4*i**2 + 56*i - 92. Let w(q) = 16*f(q) + 5*v(q). Let w(h) = 0. What is h?
1, 5
Let q(s) be the second derivative of 7/48*s**4 + 1/4*s**3 - 3/40*s**5 + 29*s - s**2 + 0 + 1/120*s**6. Determine j, given that q(j) = 0.
-1, 1, 2, 4
Let z be 10 + (8 - (-198)/(-12)). Factor 0 - z*c**2 + 3*c - 9/2*c**3.
-3*c*(c + 1)*(3*c - 2)/2
Let o be ((-4)/20)/(2/(-12)*189/126). Factor o + 2/5*a**3 - 6/5*a + 0*a**2.
2*(a - 1)**2*(a + 2)/5
Let w be 25/5 - -3 - 5. Suppose -12/5 + 1/5*m**w + 16/5*m - 7/5*m**2 = 0. What is m?
2, 3
Let w be (2 + -2)*(0 + (-3)/6). Let v(t) be the second derivative of 1/6*t**4 + w*t**2 - 4*t - 4/25*t**6 - 2/25*t**5 + 2/15*t**3 + 0. What is b in v(b) = 0?
-1/2, 0, 2/3
Let a(d) be the second derivative of d**7/9 - 5*d**6/18 - 43*d**5/60 + 49*d**4/18 - 26*d**3/9 + 4*d**2/3 + 158*d + 1. What is t in a(t) = 0?
-2, 2/7, 1/2, 1, 2
Determine i so that -1651*i**2 + 2*i**4 + 54*i + 18*i**3 + 3380*i**2 - 1675*i**2 = 0.
-3, 0
Let r(m) be the first derivative of 4*m**6/3 - 26*m**5/5 + 11*m**4/2 - 4*m**3/3 + 96. Find b such that r(b) = 0.
0, 1/4, 1, 2
Solve -21/5 + 107/10*x - 47/10*x**2 + 1/5*x**3 = 0 for x.
1/2, 2, 21
Let a(g) be the first derivative of 4 + 0*g**2 + 2/21*g**4 + 1/70*g**5 + 4/21*g**3 - 7*g. Let h(m) be the first derivative of a(m). Factor h(p).
2*p*(p + 2)**2/7
Let b = 11079/5 - 2215. Determine g so that -8/5*g**2 + 0 - b*g - 4/5*g**3 = 0.
-1, 0
Let k be (-3)/(-21) - ((-2514)/630 - -4). Let u(o) be the third derivative of 0*o - 1/60*o**6 + 0 - 2/3*o**3 - k*o**5 + 6*o**2 - 5/12*o**4. Factor u(q).
-2*(q + 1)**2*(q + 2)
Let a(k) be the first derivative of 4/9*k**3 + 5/6*k**2 + 1/18*k**6 + 0*k - 1/2*k**4 - 4/15*k**5 - 39. Factor a(f).
f*(f - 5)*(f - 1)*(f + 1)**2/3
Let o(s) be the first derivative of s**4/4 + 5*s**3/3 + s**2 - 5*s - 3. Let j be o(-4). Suppose -2*k + 2*k + 2*k**j - k**3 + k**2 - 1 - k = 0. What is k?
-1, 1
Suppose -5*i + 9 = -41. Let d be (12/(-30))/((-1)/i). Solve 0*k**d - 5*k**2 + 7*k**2 - 4*k**5 + 3*k**4 + 9*k**3 = 0.
-1, -1/4, 0, 2
Suppose -2*s + c + 12 = -3*c, 9 = 3*s + 3*c. Let 2*a**5 - 10 + 24*a**2 - 4*a**3 - 42*a**s + 32*a**4 - 4*a**2 + 2*a = 0. Calculate a.
-1, 1, 5
Let c(p) be the second derivative of -p**5/180 + p**4/8 - 4*p**3/9 - 37*p**2/2 - 19*p. Let k(b) be the first derivative of c(b). Solve k(q) = 0.
1, 8
Let v be (-2 - 7)/((-198)/44). Determine d, given that -2/9*d**4 - 4/9*d + 4/9*d**3 + 0*d**v + 2/9 = 0.
-1, 1
Let s(z) be the second derivative of -z**4/3 + z**3/2 + 76*z + 1. Factor s(x).
-x*(4*x - 3)
Let p(h) be the third derivative of 3/80*h**6 - 13/120*h**5 + 0*h + 1/24*h**4 + 13/420*h**7 - 11/672*h**8 + 0*h**3 + 0 - 16*h**2. Suppose p(l) = 0. What is l?
-1, 0, 2/11, 1
Suppose -350*s - 180 = -386*s. Suppose 3*d = 3*c - d - 21, 5*d = 5*c - 30. Determine f, given that -f**c + 2*f**s - 7/2*f**4 - f + 4*f**2 - 1/2 = 0.
-1, -1/4, 1
Let 5/4*l**4 + 19/4*l**3 - 5*l - 4 + 3*l**2 = 0. Calculate l.
-2, -4/5, 1
Let p(l) = -3*l**4 - 13*l**3 + 8*l**2 - 5*l. Let d(a) = 6*a**3 + 7*a**3 + 14*a + 8*a**4 - 24*a**2 + 25*a**3. Let g(w) = -5*d(w) - 14*p(w). Factor g(y).
2*y**2*(y - 2)**2
Let u(n) be the first derivative of n**4/60 + n**3/6 + 2*n**2/5 + 13*n + 13. Let q(v) be the first derivative of u(v). Factor q(a).
(a + 1)*(a + 4)/5
Suppose 5*c + 24 = -4*r + 31, 4*r = -3*c + 1. Suppose 8 = 9*w - 5*w. Factor 3/2 - c*i + 3/2*i**w.
3*(i - 1)**2/2
Let g be -4 - (-1 - (6/(-2) + 2)). Let m = -4 - g. Suppose 2/9*d - 2/9*d**4 - 2/3*d**2 + m + 2/3*d**3 = 0. Calculate d.
0, 1
Let v(n) be the third derivative of -n**5/15 - n**4/3 + 16*n**3 + 10*n**2. Factor v(p).
-4*(p - 4)*(p + 6)
Factor 71/2*w**3 + 19/4*w**4 + 1/4*w**5 + 261/2*w**2 + 945/4*w + 675/4.
(w + 3)**3*(w + 5)**2/4
Suppose -2*n = -5*m + 27, -2*m + 9 = -n - 1. Find t such that -2*t**2 + t**2 - m + 6*t + 2 - 4 = 0.
3
Let t(f) be the first derivative of -f**5/20 + 5*f**4/2 - 100*f**3/3 + 293. Let t(s) = 0. Calculate s.
0, 20
Suppose -z + 4*i = -78, 5*z + 4*i - 292 = 26. Let c be ((-6)/(-4))/(z/8). Factor 0 + c*q - 2/11*q**2.
-2*q*(q - 1)/11
Let z be (-16 - -20) + 1 + 1. Solve 9*g + 3*g**2 - 9*g**4 - 12*g**3 + z + 10*g - 3*g**3 - 4*g = 0 for g.
-1, -2/3, 1
Let m(r) = -2*r**5 + 25*r**4 - 13*r**3 + 19*r**2 + r - 5. Let o(a) = -3*a**5 + 39*a**4 - 19*a**3 + 29*a**2 + 2*a - 8. Let y(u) = -8*m(u) + 5*o(u). Factor y(f).
f*(f - 2)*(f - 1)**3
Let a(m) be the first derivative of 65/12*m**2 + 20/9*m**3 + 5/24*m**4 + 5*m - 16. Find i such that a(i) = 0.
-6, -1
Let q(u) be the third derivative of u**9/18900 - u**8/4200 + u**7/3150 - 7*u**4/12 + 13*u**2. Let z(k) be the second derivative of q(k). Factor z(x).
4*x**2*(x - 1)**2/5
Let j = 7 - 7. Suppose j = 2*n - 0*n - 6. Find p such that p - 4*p**2 - 4*p**4 + 6*p**n + p**5 - 6 + 5 + 1 = 0.
0, 1
Let t(g) be the third derivative of -g**6/840 + 11*g**5/140 + 47*g**2. Solve t(h) = 0.
0, 33
Let -4/9*g**3 + 2/9*g**4 + 16/9*g - 8/9*g**2 + 0 = 0. What is g?
-2, 0, 2
Let o(t) be the third derivative of 2*t**7/105 + t**6/3 + 11*t**5/5 + 22*t**4/3 + 40*t**3/3 + 366*t**2 + 2. Find y such that o(y) = 0.
-5, -2, -1
Let t(a) be the second derivative of -a**7/98 - 2*a**6/35 + 3*a**5/28 - a + 47. Find y such that t(y) = 0.
-5, 0, 1
Let u(f) be the first derivative of -f**3/2 + 5*f**2/2 - 3*f/2 + 46. Find v such that u(v) = 0.
1/3, 3
Suppose m + q = 3*m + 157, 0 = 4*m - 3*q + 311. Let f = 80 + m. Solve -1/2*l + 1/4*l**2 + f = 0.
0, 2
Let l(h) be the third derivative of h**6/540 - 2*h**5/135 - 7*h**4/108 + 10*h**3/27 + 13*h**2 + 9*h. Determine c so that l(c) = 0.
-2, 1, 5
Let k(c) be the second derivative of -c**5/20 + c**4/4 + 3*c**3/2 - 7*c**2 + 10*c. Let w(o) be the first derivative of k(o). Factor w(u).
-3*(u - 3)*(u + 1)
Let m be (-5)/((-5)/3) + -9*7. Let n = 63 + m. Suppose 0*y + n*y**3 + 0 - 3/2*y**2 + 21/2*y**4 + 6*y**5 = 0. What is y