/4*r + 1/2*r**y + 0 - 1/2*r**2.
r*(r - 1)*(r + 1)**3/4
Let t = -3599/16 - -225. Let m(i) be the third derivative of -t*i**4 + 0*i**3 - 1/16*i**5 + 0*i + i**2 + 0. Factor m(w).
-3*w*(5*w + 2)/4
Suppose 3*d = 8*d - 10. Let w(t) be the second derivative of -1/2*t**5 - 4/5*t**d + 0 - 3/2*t**4 - 8/5*t**3 - 2*t. Factor w(n).
-2*(n + 1)*(5*n + 2)**2/5
Let i(w) be the first derivative of -w**6/6 + 7*w**4/4 - 2*w**3/3 - 6*w**2 + 8*w - 7. Find y such that i(y) = 0.
-2, 1, 2
Let f(o) be the third derivative of o**7/1050 + o**6/120 + 3*o**5/100 + 7*o**4/120 + o**3/15 + 2*o**2. Factor f(g).
(g + 1)**3*(g + 2)/5
Let y = -4 - -6. Suppose -u**5 - u**5 + 8*u**y - 29*u**3 + 41*u**3 - 2*u**5 = 0. Calculate u.
-1, 0, 2
Let z(u) be the first derivative of -3/10*u**2 + 0*u - 5 + 1/5*u**3. Determine q so that z(q) = 0.
0, 1
Let m = 1284 - 134819/105. Let y(k) be the third derivative of 0*k**4 - 1/15*k**6 + 0*k + 3*k**2 + 0*k**3 - m*k**7 - 2/15*k**5 + 0. What is d in y(d) = 0?
-2, 0
Suppose 4*z = 10 - 2. Factor -z*c + 0*c**3 - 5*c**2 - 4*c**3 + c**4 - 2*c**4.
-c*(c + 1)**2*(c + 2)
Suppose 2/7*m**4 + 0 + 4/7*m**3 - 2*m**2 + 8/7*m = 0. What is m?
-4, 0, 1
Let c(x) be the first derivative of x**5/40 - 3*x**4/16 + x**3/2 - 3*x**2/2 + 1. Let b(i) be the second derivative of c(i). Determine h, given that b(h) = 0.
1, 2
Let q(u) = -2*u**2 + 6*u - 3. Let p be q(2). Let v(y) be the first derivative of -4/25*y**5 + 0*y**3 + 0*y**2 + 1/10*y**4 + 1/15*y**6 - p + 0*y. Factor v(x).
2*x**3*(x - 1)**2/5
Let f(c) = -6*c**4 + 8*c**3 + 2*c**2 + c + 5. Let g(b) = -9*b**4 + 12*b**3 + 3*b**2 + 2*b + 8. Let j(v) = 8*f(v) - 5*g(v). Factor j(k).
-k*(k - 1)**2*(3*k + 2)
Factor 2/5*d**3 + 0 - 1/5*d + 0*d**4 + 0*d**2 - 1/5*d**5.
-d*(d - 1)**2*(d + 1)**2/5
Let o(a) = 2*a - 10. Let s be o(7). Find l such that l**5 - l**3 - 4 + s = 0.
-1, 0, 1
Let k(r) be the first derivative of r**7/2100 - r**6/300 + r**4/15 - 4*r**3/3 - 5. Let c(q) be the third derivative of k(q). Factor c(n).
2*(n - 2)**2*(n + 1)/5
Let o(m) be the third derivative of m**8/9240 - m**6/660 + m**5/330 + m**3/2 + 2*m**2. Let p(t) be the first derivative of o(t). Factor p(r).
2*r*(r - 1)**2*(r + 2)/11
Let h(o) = 4165*o**5 - 5950*o**4 - 4420*o**3 - 680*o**2. Let f(a) = 245*a**5 - 350*a**4 - 260*a**3 - 40*a**2. Let b(t) = -35*f(t) + 2*h(t). Factor b(c).
-5*c**2*(c - 2)*(7*c + 2)**2
Let r = -3 + 6. Solve -12*j - 3*j**3 - 6*j**r - 2*j**2 + 3*j**5 - 6*j**4 + 26*j**2 = 0.
-2, 0, 1, 2
Let g = 35/6 - 169/30. Factor 0*b**3 + 0*b + 0*b**2 - 1/5*b**4 - g*b**5 + 0.
-b**4*(b + 1)/5
Factor 0*v - 1/5*v**4 + 0 - 2/5*v**3 + 0*v**2.
-v**3*(v + 2)/5
Let a = 41/2 + -201/10. Factor a*m**2 + 0 - 1/5*m**3 + 0*m.
-m**2*(m - 2)/5
Let h(k) be the second derivative of -k**8/6720 + k**7/1960 - k**6/2520 + 5*k**4/12 - 4*k. Let l(z) be the third derivative of h(z). Solve l(p) = 0.
0, 2/7, 1
Let h(q) = q**4 + q**3 + q**2 + 1. Let m(t) = -5*t**5 - 3*t**4 + 12*t**3 - 13*t**2 - 3. Let j(d) = 3*h(d) + m(d). Let j(r) = 0. What is r?
-2, 0, 1
Let l(j) be the third derivative of -j**6/1140 + j**5/570 + j**4/228 - j**3/57 + j**2. Suppose l(d) = 0. Calculate d.
-1, 1
Let m(r) be the third derivative of 2*r**7/315 + r**6/72 + r**5/180 + r**2. What is z in m(z) = 0?
-1, -1/4, 0
Let l(b) = b - 8. Let r be l(6). Let j be 1/((-9)/(-2) + r). Factor -j*y - 4/5*y**2 + 0 - 2/5*y**3.
-2*y*(y + 1)**2/5
Let t be (-134)/472 - 6/(-8). Let g = t + 2/59. Find f, given that g*f + 0 + 1/2*f**2 = 0.
-1, 0
Let h(l) = 5*l**4 + 9*l**3 + 3*l**2 + 2*l + 3. Let k(r) = -4*r**4 - 8*r**3 - 4*r**2 - 2*r - 2. Let g(c) = -4*h(c) - 6*k(c). Factor g(i).
4*i*(i + 1)**3
Let z be (0 + (1 - 37/35))*-5. Factor 0 + 0*v + 2/7*v**4 - 4/7*v**3 + z*v**2.
2*v**2*(v - 1)**2/7
Suppose -22 = -5*s - 4*m + m, -4*s + 17 = 3*m. Suppose 0 = 4*z + s - 25. Factor -7*u**5 - 2*u - 4*u**3 + 2 + 10*u**2 + 11*u - 12*u**4 + 2*u**z.
-(u - 1)*(u + 1)**3*(5*u + 2)
Suppose 0 = 5*w - 5*y - 25, -15 = 6*y - y. Solve 2/5*h**w + 2/5*h + 0 = 0 for h.
-1, 0
Let x(y) be the first derivative of -2/21*y**3 - 3 - 4/7*y - 3/7*y**2. Determine i so that x(i) = 0.
-2, -1
Let v(o) = 4*o**2 - 2*o - 8. Let n(k) = -5*k**2 + k + 8. Suppose 0 = t + 3*t. Suppose 3*g - 2 + 20 = t. Let j(w) = g*n(w) - 7*v(w). Let j(i) = 0. What is i?
-2
Let f be ((-4)/192)/(2/(-4)). Let h(u) be the third derivative of 0*u + 0 + u**2 + f*u**4 + 0*u**3 - 1/60*u**5. Factor h(x).
-x*(x - 1)
Let o(x) be the first derivative of x + 0*x**3 + 1/45*x**6 + 0*x**4 - 1/63*x**7 + 0*x**5 + 2 + 0*x**2. Let k(n) be the first derivative of o(n). Factor k(s).
-2*s**4*(s - 1)/3
Let z(u) be the first derivative of -6*u**5/55 - 3*u**4/22 + 2*u**3/11 + 3*u**2/11 + 1. Find f, given that z(f) = 0.
-1, 0, 1
Let a(i) = i**3 + i**2 - 5*i - 1. Let k(c) = -3*c**3 - 3*c**2 + 14*c + 3. Let l(t) = 11*a(t) + 4*k(t). Factor l(q).
-(q - 1)*(q + 1)**2
Let q = -86/3 - -31/3. Let h = q + 19. Solve -h*z + 0 - 2/3*z**2 = 0.
-1, 0
Let c(i) = i**3 + 14*i**2 + 10*i - 34. Let u be c(-13). Factor 0 + 0*x**2 + 4/3*x**4 + 4/3*x**u + 0*x - 8/3*x**3.
4*x**3*(x - 1)*(x + 2)/3
Let t(l) be the second derivative of -l**4/54 + l**3/27 + 8*l. Solve t(s) = 0.
0, 1
Let v(n) be the third derivative of -1/4*n**4 + 0 - 1/2*n**3 + n**2 - 1/20*n**5 + 0*n. Factor v(a).
-3*(a + 1)**2
Let l(p) be the third derivative of -p**6/420 - p**5/210 + p**4/21 + 4*p**3/21 + 26*p**2. Find i such that l(i) = 0.
-2, -1, 2
Let w = -55 + 55. Factor 1/2*t**3 + w - 1/4*t**2 + 0*t.
t**2*(2*t - 1)/4
Suppose 10*s = 6*s - 48. Let p = -9 - s. Let 1/5*t**5 + 1/5*t**2 - 1/5*t**p - 1/5*t**4 + 0 + 0*t = 0. What is t?
-1, 0, 1
Let h be (-2)/8 - 2/(-8). Suppose -3*z + 6*z + k = 10, 3*z = -4*k + 4. Let -f**3 + h*f**z + f**4 + 0*f**4 = 0. What is f?
0, 1
Let s(f) be the second derivative of f**8/840 - f**7/210 + f**5/30 - f**4/12 - f**3/6 - f. Let k(i) be the second derivative of s(i). Factor k(n).
2*(n - 1)**3*(n + 1)
Suppose -5*c + 7 = -8. Let u = c - -1. Let 21*w**3 + 4*w - u + 14*w**4 - 3*w**3 - 10*w**2 - 22*w = 0. Calculate w.
-1, -2/7, 1
Let a = -196/9 - -22. Factor -a*m**2 + 0 - 2/9*m.
-2*m*(m + 1)/9
Let n be 4/(-14) + (-10)/(-35). Let i(t) be the third derivative of n*t + 0 - 1/42*t**4 + 4*t**2 - 1/210*t**5 - 1/21*t**3. Factor i(a).
-2*(a + 1)**2/7
Let y(h) be the first derivative of h**4/6 + 10*h**3/9 + 4*h**2/3 + 20. Factor y(s).
2*s*(s + 1)*(s + 4)/3
Let i = -79 + 54. Let j be (10/i)/(16/(-10)). Suppose j*q**2 - 1/2*q + 0 = 0. Calculate q.
0, 2
What is t in 0 - 8*t**3 - 4*t**4 + 0*t - 2/3*t**5 - 16/3*t**2 = 0?
-2, 0
Let u(l) be the third derivative of -l**8/84 + 26*l**7/21 - 169*l**6/3 + 4394*l**5/3 - 142805*l**4/6 + 742586*l**3/3 + 45*l**2. Factor u(f).
-4*(f - 13)**5
Let c(k) = 2*k**4 - 2*k**3 - 14*k**2 - 2*k. Let n(l) = l**4 - l**2 - l + 1. Let p(h) = -c(h) - 4*n(h). Let p(o) = 0. Calculate o.
-1, 1/3, 2
Let o(g) be the second derivative of g**5/60 - g**4/6 + 2*g**3/3 - g**2 - 2*g. Let c(q) be the first derivative of o(q). Suppose c(b) = 0. Calculate b.
2
Let q be (-2)/(-18) + 36/(-324). Factor q*a + 0 - 2/9*a**3 - 2/9*a**2.
-2*a**2*(a + 1)/9
Let o(d) be the second derivative of -d**6/120 + d**5/16 - d**4/6 + d**3/6 - 21*d. Determine j, given that o(j) = 0.
0, 1, 2
Factor -2*c**3 + 0*c + 0 + 4/5*c**2 + 8/5*c**4 - 2/5*c**5.
-2*c**2*(c - 2)*(c - 1)**2/5
Let q(f) be the second derivative of -f**4/54 + f**3/9 + 4*f**2/9 + 18*f. Suppose q(j) = 0. What is j?
-1, 4
Let z(k) = k**2 + 1. Let w(j) = -2*j**2 + 4*j + 10. Let o(d) = -w(d) + 2*z(d). Solve o(c) = 0 for c.
-1, 2
Let i(r) be the third derivative of -r**5/15 + 4*r**4/3 - 14*r**3/3 + 25*r**2. Find v such that i(v) = 0.
1, 7
Suppose -n + 0*n = -8. Let d = 33/4 - n. Suppose -d - 1/4*w**2 - 1/2*w = 0. What is w?
-1
What is d in 2/5*d**5 - 4/5*d**3 - 8/15*d**2 + 2/5*d + 4/15 + 4/15*d**4 = 0?
-1, -2/3, 1
Let j(l) be the first derivative of -l**6/36 - l**5/10 - l**4/12 - 2. Find z such that j(z) = 0.
-2, -1, 0
Let l = -444 + 444. What is s in -1/5 + l*s + 1/5*s**2 = 0?
-1, 1
Let -1 - 3 + 4 - h**2 = 0. What is h?
0
Let z = 16 + -28. Let b = -3 - z. What is s in -b + 11*s**2 + 3*s - 3*s**3 + 0 - 2*s**2 = 0?
-1, 1, 3
Factor 3*y - 2 + 0*y + 5 - 8*y**2 + 2*y**2.
-3*(y - 1)*(2*y + 1)
Let a(h) be the second derivative of h**4/16 + h**3/8 - 17*h. Determine j so that a(j) = 0.
-1, 0
Let c(r) = -4*r + 19. Let u be c(