= 0. Calculate r.
-2/7, 1
Determine k, given that -4/9 + 112/3*k**4 + 170/9*k**3 - 10/3*k - 32/9*k**2 + 160/9*k**5 = 0.
-1, -1/4, 2/5
Let x(n) be the first derivative of -1/26*n**4 - 2/13*n - 5 - 2/13*n**3 - 3/13*n**2. Solve x(t) = 0 for t.
-1
Let t(u) be the third derivative of -u**8/5040 - u**7/1260 - u**6/1080 + u**3/6 - 2*u**2. Let c(w) be the first derivative of t(w). Factor c(d).
-d**2*(d + 1)**2/3
Let w(y) be the first derivative of -3*y**4 - 5*y**3 - 3*y**2/2 - 1. What is x in w(x) = 0?
-1, -1/4, 0
Let t = 5 - 0. Suppose -4*f + t*c - 7 = 0, f - 5*c = -4*f - 5. What is n in 0*n + 2/5 - 2/5*n**f = 0?
-1, 1
Let i(g) be the first derivative of -1/3*g**3 + 1/4*g**4 - 1/2*g**2 - 2 + 1/5*g**5 + 0*g. Solve i(r) = 0.
-1, 0, 1
Let m be (((-135)/(-12))/(-5))/((-9)/6). Factor -6 - m*j**2 + 6*j.
-3*(j - 2)**2/2
Let x be (-6)/(-9)*(-30)/(-8). Let d = 229/2 - 111. Factor -x*o + d*o**2 - 1.
(o - 1)*(7*o + 2)/2
Let b = 127 + -125. Determine x, given that 2/5*x**4 + 2*x**b + 0 - 8/5*x**3 - 4/5*x = 0.
0, 1, 2
Suppose 2*w + o - 16 = -15, -2*w - 2 = 2*o. Find j such that 0 + 49/3*j**5 + 4/3*j + 109/3*j**3 - 12*j**w - 42*j**4 = 0.
0, 2/7, 1
Solve 1/9*a**4 + 1/9*a + 0 - 1/9*a**3 - 1/9*a**2 = 0.
-1, 0, 1
Let u(x) be the third derivative of -x**7/560 + 3*x**6/320 + x**5/160 - 3*x**4/64 - 9*x**2. Solve u(t) = 0.
-1, 0, 1, 3
Let z(j) = j**2 + 3*j - 7. Let u be z(-5). Let -3*t**5 - 1 + 2*t**4 - 3*t**4 - 3*t + 2*t**2 + 9*t**u - 3*t**3 = 0. What is t?
-1, -1/3, 1
Let c be ((-3)/5)/(8/(-80)). Let g(b) be the second derivative of -3*b - 13/12*b**4 - 1/30*b**c + 0 - 2*b**2 - 2*b**3 - 3/10*b**5. Factor g(p).
-(p + 1)**2*(p + 2)**2
Let h be ((-1)/4)/(12/(-48)). Let c be (-1 - -2 - -4)/h. Factor -1/4*b**c + 1/4*b**4 + 1/4 - 1/4*b - 1/2*b**2 + 1/2*b**3.
-(b - 1)**3*(b + 1)**2/4
Let a(l) be the second derivative of l**4/60 - 2*l**2/5 + 22*l. Factor a(m).
(m - 2)*(m + 2)/5
Suppose -24*x = -29*x. Let x*k - 2/5*k**2 + 2/5 = 0. Calculate k.
-1, 1
Find h, given that -2*h**4 + 8/5 - 1/5*h**5 + 17/5*h + 2/5*h**2 - 16/5*h**3 = 0.
-8, -1, 1
Let p(w) be the first derivative of w**4/28 + w**3/21 - 2*w**2/7 - 4*w/7 - 35. Factor p(i).
(i - 2)*(i + 1)*(i + 2)/7
Factor 0*m**2 + 9/7*m + 6/7 - 3/7*m**3.
-3*(m - 2)*(m + 1)**2/7
Factor 0*u + 1/2*u**2 - 1/2.
(u - 1)*(u + 1)/2
Let q(a) be the third derivative of a**7/105 - a**6/40 - a**5/15 + a**4/12 + a**2. Let k(g) = g**4 + g**3 + 1. Let d(x) = -k(x) - q(x). Factor d(p).
-(p - 1)**2*(p + 1)*(3*p + 1)
Let s(l) be the third derivative of 0*l**4 + 0*l**3 + 0*l - 1/150*l**5 + 3*l**2 + 0. Factor s(f).
-2*f**2/5
Let i(t) be the second derivative of 4/3*t**3 + 0 + 1/3*t**4 + 8/3*t**2 - t + 1/30*t**5. Factor i(d).
2*(d + 2)**3/3
Let -4/9 - 16/9*n**4 - 2/9*n + 10/9*n**5 - 8/9*n**3 + 20/9*n**2 = 0. What is n?
-1, -2/5, 1
Let c be -1 + 4 + -1*3. Suppose -3*p - 29 = -5*v - c*v, -4*p = 12. Solve -2*h**5 + v*h**5 - 4*h**5 + 3*h**5 + h**4 = 0.
-1, 0
Let i(b) be the first derivative of 0*b**4 - 2/9*b**3 + 1/18*b**6 - 1/6*b**2 + 2/15*b**5 + 3 + 0*b. Determine h so that i(h) = 0.
-1, 0, 1
Let t(w) be the first derivative of -18/11*w**3 - 14/55*w**5 + 23/22*w**4 - 4 + 13/11*w**2 - 4/11*w. Factor t(q).
-2*(q - 1)**3*(7*q - 2)/11
What is o in -4*o**2 + 18*o**5 + 7*o**2 + 57*o**4 + 3*o**5 + 0*o**4 - 6*o + 45*o**3 = 0?
-1, 0, 2/7
Let z(q) be the first derivative of 2/3*q**3 + 1 + 0*q + q**2. Find i such that z(i) = 0.
-1, 0
Let a(l) be the second derivative of 0 + 2*l + 0*l**2 - 2/15*l**6 + 1/3*l**3 + 3/20*l**5 + 3/4*l**4. Let a(v) = 0. Calculate v.
-1, -1/4, 0, 2
Let a = 35 + -11. Let p be (-4)/a - (-3)/2. Factor -p - 2/3*l**2 + 2*l.
-2*(l - 2)*(l - 1)/3
Let l(j) be the first derivative of -2*j**5/85 - j**4/17 - 2*j**3/51 + 1. Suppose l(s) = 0. What is s?
-1, 0
Let i be (16 + -2)*(-2)/10. Let w = i + 52/15. Find v such that 2/3*v**4 + 0*v**3 - w*v**2 + 0 + 0*v = 0.
-1, 0, 1
Find g, given that -5*g**2 + 3*g**5 - 5*g + g + 6*g**4 + g - g**2 = 0.
-1, 0, 1
Factor 1/3*r**3 + 1/3*r + 0 + 2/3*r**2.
r*(r + 1)**2/3
Let w be (9/44)/(147/3136). Determine x, given that -32/11 - w*x - 18/11*x**2 = 0.
-4/3
Let x be 48/8 - (-2 - -8). Let b(m) be the third derivative of 1/390*m**5 + x*m + 0 + 1/26*m**4 + 3/13*m**3 + 4*m**2. Factor b(j).
2*(j + 3)**2/13
Suppose -y - 3*g - 5 = 1, 60 = 5*y - 3*g. Let w = y - 6. Factor -2/9*v**5 - 2/9*v**4 + 2/9*v**w + 2/9*v**2 + 0*v + 0.
-2*v**2*(v - 1)*(v + 1)**2/9
Let l = -1 + 1. Suppose 5*w - h - 3 = 0, 0 = w - 2*h - 30 + 24. Factor w*r + l + 1/4*r**2.
r**2/4
Let -3*k**3 + 4*k**5 + 0*k**3 + 7*k**3 - 8*k + 12*k**2 - 12*k**4 = 0. Calculate k.
-1, 0, 1, 2
What is o in -7/5*o + 2/5 - 4/5*o**2 = 0?
-2, 1/4
Let j be (-9 + 0)/((-30)/(-20)). Let h be 6*j/9 - -8. Solve 0*k + 0 + 1/3*k**2 + 1/3*k**3 - 1/3*k**h - 1/3*k**5 = 0 for k.
-1, 0, 1
Let g(r) be the second derivative of -r**7/105 - 2*r**6/75 + 3*r**5/50 + 2*r**4/15 - 4*r**3/15 + 8*r. Factor g(v).
-2*v*(v - 1)**2*(v + 2)**2/5
Let s(m) be the first derivative of -m**4 - 2/3*m**3 + 2/5*m**5 + 0*m - 2 + 2*m**2. Factor s(i).
2*i*(i - 2)*(i - 1)*(i + 1)
Let v(u) = u**3. Let t(k) = -k**3 + k**2 - 2*k. Let o(x) = t(x) + 2*v(x). Suppose o(g) = 0. What is g?
-2, 0, 1
Factor 36*n + 6*n**3 + 8 - 20 - 39*n**2 + 12*n**3 - 3*n**4.
-3*(n - 2)**2*(n - 1)**2
Factor 0*w - 3/5 + 3/5*w**2.
3*(w - 1)*(w + 1)/5
Let i(w) = -w**3 + 7*w**2 - 4*w + 5. Let v be i(5). Suppose -f + 11 - 30 = -5*o, 5*o - 5*f = v. Factor 0*a + 0 - 1/2*a**2 + 1/2*a**o.
a**2*(a - 1)/2
Let n(y) be the second derivative of y**4/24 + 5*y**3/12 + y**2 - 16*y. Suppose n(w) = 0. Calculate w.
-4, -1
Let j(t) = t**3 + 3*t**2 - 6*t - 5. Let a be j(-4). Determine w, given that 0*w**2 - 3*w**2 - 10*w**a + w**2 - 8*w**4 = 0.
-1, -1/4, 0
Let i(g) be the second derivative of -g**7/6300 + g**6/900 - 3*g**4/4 - 8*g. Let h(j) be the third derivative of i(j). Factor h(m).
-2*m*(m - 2)/5
Let b(g) be the first derivative of g**6/36 - g**5/30 - g**4/6 + 2*g**3/9 + 28. Determine i, given that b(i) = 0.
-2, 0, 1, 2
Let y(x) be the second derivative of 0 + 2/3*x**2 + 2*x + 1/12*x**4 + 1/3*x**3 + 1/120*x**5. Factor y(m).
(m + 2)**3/6
Let 2/15*c**2 - 4/15 + 2/15*c = 0. Calculate c.
-2, 1
Let d(s) be the third derivative of s**8/672 - s**7/210 - s**6/240 + s**5/60 - 8*s**2. Factor d(z).
z**2*(z - 2)*(z - 1)*(z + 1)/2
Suppose 287 - 3*v**3 + 3*v**2 - 287 = 0. What is v?
0, 1
Let j = 251/620 - 3/620. Let s = 3/50 - -17/50. Factor s*k**2 - j*k - 4/5.
2*(k - 2)*(k + 1)/5
Let k(j) be the third derivative of 0*j**3 + 0*j**4 - 1/120*j**5 + 0 + 0*j + j**2. Factor k(m).
-m**2/2
Suppose -4/5 - 2/5*x**2 - 6/5*x = 0. Calculate x.
-2, -1
Suppose 0 = -5*d + d + 8. Let j be -2 + (2 + 3)/1. Determine p, given that 0*p**d - 2/5 - 3/5*p + 1/5*p**j = 0.
-1, 2
Factor -2/15 + 4/15*d - 2/15*d**2.
-2*(d - 1)**2/15
Let y(o) be the first derivative of -o**4/2 + 2*o**3 - 3. Factor y(t).
-2*t**2*(t - 3)
Let c(z) = -z**3 - 4*z**2 + z - 1. Let a(l) = l**2. Let f(v) = -15*a(v) - 3*c(v). Factor f(b).
3*(b - 1)**2*(b + 1)
Let f(j) = j - 13. Let n be f(7). Let u(y) = -y - 3. Let w be u(n). Determine r, given that r - 3 + 2*r**3 + 2 + r**5 - r**4 - 4*r**w + 2*r**2 = 0.
-1, 1
Let p = -591/5 - -1427/10. Let b = p + -24. Determine c so that 1/2*c**2 - 1/2 - b*c + 1/2*c**3 = 0.
-1, 1
Let b(g) be the third derivative of g**8/30240 - g**7/1890 + g**6/270 - 7*g**5/60 - 2*g**2. Let o(r) be the third derivative of b(r). Factor o(u).
2*(u - 2)**2/3
Let x(t) be the second derivative of 0*t**3 + 0*t**2 + 2/165*t**6 + 0 - 3/110*t**5 - 1/33*t**4 - 3*t + 1/77*t**7. Suppose x(a) = 0. Calculate a.
-1, -2/3, 0, 1
Let z(u) be the first derivative of 6 + 0*u + 1/2*u**2 + 0*u**3 - 1/4*u**4. What is j in z(j) = 0?
-1, 0, 1
Determine g so that -27*g + 3*g**4 - g**5 - 3*g**2 - 2*g**3 - 25*g + g**3 + 54*g = 0.
-1, 0, 1, 2
Let l(r) be the first derivative of 3*r**4/4 - 3*r**3 - 4. Let v(z) = 3*z**3 - 9*z**2 - z. Let a(b) = -7*l(b) + 6*v(b). Suppose a(j) = 0. What is j?
0, 1, 2
Let z be 3/(-6) - (-41)/(-22). Let o = -93/44 - z. Solve 0*y**2 + 0 + o*y - 1/4*y**3 = 0 for y.
-1, 0, 1
Let n(a) be the second derivative of a**7/504 + a**6/180 - a**4/72 - a**3/72 - 2*a. Solve n(k) = 0.
-1, 0, 1
Let a(h) be the second derivative of 2*h + 0*h**3 + 0 + 1/2*h**2 - 1/12*h**4. Factor a(i).
-(i - 1)*(i + 1)
Let k = 63 + -433/7. Factor -2/7*x**4