d derivative of v**7/14 - v**6/5 - v**5/5 + 34*v**2. Factor a(z).
3*z**2*(z - 2)*(5*z + 2)
Let t(s) be the second derivative of -3*s**5/20 + s**4 - 2*s**3 - 5*s. Factor t(z).
-3*z*(z - 2)**2
Let x = 2144/45 - 236/5. Factor x*b - 2/9 - 2/9*b**2.
-2*(b - 1)**2/9
Let q be ((-3)/(-2))/((-30)/(-8)). Suppose 0 = -k + 3*k. Factor k*n**2 - q*n**4 + 2/5 - 4/5*n + 4/5*n**3.
-2*(n - 1)**3*(n + 1)/5
Find h such that -1/2*h**2 - 1 - 3/2*h = 0.
-2, -1
Suppose 2*f - g - 6 = 0, -4 = -g - g. Solve 1/3*b**3 - 1/2*b + 1/6 + 1/3*b**2 - 1/2*b**f + 1/6*b**5 = 0 for b.
-1, 1
Let j(o) = 6*o**3 - o**2 - 10*o - 8. Let c(s) = -s**3 - s**2 - s. Let x(b) = -5*c(b) - j(b). Factor x(i).
-(i - 8)*(i + 1)**2
Factor 25*j - 4*j**4 - 5*j**3 - 4*j**5 + 51*j**3 + 5*j**5 - 60*j**2 - 8*j**4.
j*(j - 5)**2*(j - 1)**2
Let o(h) = h**2 - 6*h + 7. Let b be o(5). Let p(q) = -4*q + 2*q**4 + 8*q**b - 5*q - q**4. Let w(y) = -y**3 + y. Let t(i) = p(i) + 5*w(i). Factor t(l).
l*(l - 2)**2*(l - 1)
Let y(j) be the first derivative of 0*j + 4 + 0*j**2 + 1/12*j**6 + 0*j**5 - 1/8*j**4 + 0*j**3. Find s, given that y(s) = 0.
-1, 0, 1
Suppose -3*v = -4*g + 9, -2*g + 4*v - v = -3. Find p such that -3/5*p**2 - 2/5*p**g + 1/5*p**4 + 4/5 + 4/5*p = 0.
-1, 2
What is f in -3/7 + 6/7*f**2 - 12/7*f**5 - 12/7*f - 3/7*f**4 + 24/7*f**3 = 0?
-1, -1/4, 1
Let v(c) be the third derivative of -c**9/18900 - c**8/12600 - c**7/25200 - c**5/12 - 5*c**2. Let h(r) be the third derivative of v(r). Factor h(k).
-k*(4*k + 1)**2/5
Let l be -2 - (1212/(-201) - -4). Let o = l + 530/201. Factor o*w + 8/3 + 2/3*w**2.
2*(w + 2)**2/3
Let y be 108/231 + 2/(-7). Let t be (1/(55/(-75)) + 1)/(-2). Factor -2/11*a**2 + y*a**3 + 2/11 - t*a.
2*(a - 1)**2*(a + 1)/11
Let d(b) be the third derivative of b**6/120 + b**5/10 + b**4/2 + 4*b**3/3 - 16*b**2. Factor d(m).
(m + 2)**3
Factor 2*n**2 + 8/5 - 16/5*n - 2/5*n**3.
-2*(n - 2)**2*(n - 1)/5
Let h(k) be the second derivative of 7*k**6/150 - k**5/20 - 3*k**4/20 + k**3/6 + k**2/5 + 3*k. Factor h(u).
(u - 1)**2*(u + 1)*(7*u + 2)/5
Suppose 5*l = -6*l + 44. Factor 9/2*v**2 - 7/2*v + 1 + 1/2*v**l - 5/2*v**3.
(v - 2)*(v - 1)**3/2
Let l = -499 + 5188/7. Let m = l + -241. Factor -6/7*n**3 + m*n + 0 - 4/7*n**4 + 2/7*n**5 + 8/7*n**2.
2*n*(n - 2)**2*(n + 1)**2/7
Suppose 38*t + 10 = 43*t. Let p(j) be the first derivative of 1/15*j**3 - 1/5*j - 4 - 1/10*j**t + 1/20*j**4. Factor p(i).
(i - 1)*(i + 1)**2/5
Factor 309 - 2*w**2 - 324 + 7*w**2 - 10*w.
5*(w - 3)*(w + 1)
Let k(a) = -4*a**2 + 12*a - 19. Let g(n) = -n**2 + 3*n - 5. Let t(q) = -22*g(q) + 6*k(q). Find s such that t(s) = 0.
1, 2
Find p such that 0 + 3/4*p**3 - 1/4*p**4 - 3/4*p**2 + 1/4*p = 0.
0, 1
Let q(r) = -2*r - 1. Let l(i) = -i. Let t(n) = -13*l(n) + 6*q(n). Let j be t(7). Suppose -j - 9*m + 9*m + m**2 = 0. What is m?
-1, 1
Let b = 3 - -7. Find c, given that 3*c**2 - c - b*c + 20*c = 0.
-3, 0
Let f(t) = t**2 - t. Let b(y) = 6*y + 2. Let o(j) = b(j) + 2*f(j). Let o(m) = 0. Calculate m.
-1
Let i(a) be the third derivative of 2*a**7/525 - a**6/120 - 7*a**5/300 + a**4/60 + a**2 + 2. Suppose i(t) = 0. Calculate t.
-1, 0, 1/4, 2
Suppose -1 = -p + 1. Suppose -3*r**3 - 16 + 9*r + 7*r**3 + p*r**2 - 25*r + 2*r**2 = 0. What is r?
-2, -1, 2
Let y(s) = -s**2 - s. Suppose 4*f - 6 - 14 = 0. Let r(t) = t**5 - 2*t**3 + 5*t**2 + 6*t. Let b(j) = f*y(j) + r(j). Factor b(u).
u*(u - 1)**2*(u + 1)**2
Factor -9*s - 1/3*s**3 - 3*s**2 - 9.
-(s + 3)**3/3
Let s be 11 + -11 - (-1 + 87/90). Let p(z) be the third derivative of 2/15*z**3 + 0*z + 0 - 3*z**2 - s*z**5 - 1/20*z**4. Factor p(d).
-2*(d + 1)*(5*d - 2)/5
Let q be 58/12 - (-2)/12. Let h(g) be the first derivative of 1/12*g**4 - 1/6*g**2 + 0*g + 1/15*g**q - 3 - 1/9*g**3. Factor h(k).
k*(k - 1)*(k + 1)**2/3
Let h be (-2)/(-10) - 95/(-25). Determine b, given that -2*b**5 - h*b**2 + 2*b**4 + 4*b**4 + 2*b - 2*b**4 = 0.
-1, 0, 1
Let z(y) = -y + 4. Let a be z(5). Let w = 5 + a. Let -7/2*v**3 + v**2 + 5/2*v**w + 0 + 0*v = 0. Calculate v.
0, 2/5, 1
Let m(u) = -6*u - 4. Let f be m(-2). Suppose 0 = -4*a + f*q - 4*q - 20, 0 = -a - q + 5. Find t, given that 0*t + a*t**2 + 4/7*t**3 + 0 + 6/7*t**4 = 0.
-2/3, 0
Let j(k) be the third derivative of -k**7/315 + k**6/180 + k**5/90 - k**4/36 + 2*k**2. Factor j(w).
-2*w*(w - 1)**2*(w + 1)/3
Let j(u) be the first derivative of u**4/16 - 4. Let j(v) = 0. Calculate v.
0
Find q, given that -4/3*q**3 + 8/3*q + 0 + 4/3*q**2 = 0.
-1, 0, 2
Factor 298 + 4*g**3 - 55*g**2 - 798 + 300*g - 5*g**2.
4*(g - 5)**3
Let q(r) be the second derivative of r**4/30 - 3*r**3/5 - 19*r. Factor q(t).
2*t*(t - 9)/5
Suppose -4*g = -g + i - 7, g - 9 = 3*i. Let t(b) be the first derivative of 49/8*b**4 - 14/3*b**g + 0*b - 2 + b**2. Factor t(k).
k*(7*k - 2)**2/2
Let f = -49 - -54. What is g in 1/2*g**3 - 1/4 - 1/2*g**2 + 1/4*g**f + 3/4*g**4 - 3/4*g = 0?
-1, 1
Let c(k) be the first derivative of 5*k**3/3 - 10*k**2 + 15*k + 41. Factor c(d).
5*(d - 3)*(d - 1)
Let a(x) be the first derivative of 5*x**3/3 + 25*x**2/2 + 30*x - 10. Factor a(s).
5*(s + 2)*(s + 3)
Factor 15 - 80*g + 4*g**4 - 63 - 28*g**2 + g**3 + 7*g**3.
4*(g - 3)*(g + 1)*(g + 2)**2
Let l(j) be the third derivative of -j**8/1344 + j**6/120 + j**5/120 - j**4/32 - j**3/12 + 20*j**2. Let l(q) = 0. What is q?
-1, 1, 2
Solve 1/10*v**3 + 0 - 2/5*v + 1/10*v**4 - 2/5*v**2 = 0 for v.
-2, -1, 0, 2
Let s(r) = 4 - 2*r**3 - 2*r - 3*r**2 + r**2 - 5*r**2 + 6*r. Let u(p) = -3*p**3 - 6*p**2 + 3*p + 3. Let z(h) = 3*s(h) - 4*u(h). Determine c, given that z(c) = 0.
-1/2, 0
Let q(p) be the third derivative of -p**5/480 + 3*p**4/64 + 5*p**3/24 - 55*p**2. Factor q(r).
-(r - 10)*(r + 1)/8
Let n = -9 - -12. Suppose n = m, 3*z - 14 = z - 2*m. Factor 3/2*l**5 + 3*l**2 - 7/2*l - z*l**4 + 1 + 2*l**3.
(l - 1)**3*(l + 1)*(3*l - 2)/2
Let m(k) be the second derivative of -k**6/80 + 3*k**4/16 - k**3/2 - 3*k**2 - 7*k. Let j(c) be the first derivative of m(c). Suppose j(s) = 0. What is s?
-2, 1
Let m(x) = -3*x**2 + 5. Let z(t) = t**2 - 2. Let i(j) = 4*m(j) + 14*z(j). What is w in i(w) = 0?
-2, 2
Let k(i) be the second derivative of 0 + 6*i + 5/6*i**3 - 1/6*i**4 + i**2 - 1/4*i**5. Solve k(w) = 0 for w.
-1, -2/5, 1
Suppose -2*m = -5*r - 8, -5*m - 2*r + 20 = 3*r. Find k such that -m*k**3 + 2*k**3 + 0*k**2 + 2*k**4 - k**4 + k**2 = 0.
0, 1
Suppose -c = 3*p + 12, 0 = -9*c + 6*c - 5*p - 16. Factor 1/4*r**5 + 0 + 0*r**2 + 1/2*r**4 + 0*r + 1/4*r**c.
r**3*(r + 1)**2/4
Suppose -1 = -2*o - p + 4, -12 = -5*o - 3*p. Determine m, given that -3*m**o + 7*m**2 - m**2 + 1 - m**3 + 0*m**2 - 4*m + m**4 = 0.
1
Factor -18/7 + 3*o - 3/7*o**2.
-3*(o - 6)*(o - 1)/7
Let l(q) = -q**3 + 21*q**2 + 21*q - 5. Let m(u) = u**3 - 31*u**2 - 31*u + 7. Let c(b) = -7*l(b) - 5*m(b). Factor c(o).
2*o*(o + 2)**2
Let x(s) be the first derivative of 0*s + 4 + 7/1080*s**6 + 2/3*s**3 - 1/36*s**4 + 1/72*s**5 + 0*s**2. Let f(p) be the third derivative of x(p). Factor f(b).
(b + 1)*(7*b - 2)/3
Let l(y) be the third derivative of y**5/15 + 2*y**4/3 + 8*y**3/3 - 28*y**2. Factor l(r).
4*(r + 2)**2
Let c = 5/6 - 1/2. Let h(v) be the first derivative of 4/9*v**3 - 1/6*v**4 - c*v**2 + 1 + 0*v. Solve h(w) = 0 for w.
0, 1
Let h be 2/(960/(-1436)) - -3. Let x(c) be the third derivative of -1/30*c**5 + 3*c**2 + 0 + 0*c + 0*c**3 + h*c**6 + 1/24*c**4. Suppose x(a) = 0. What is a?
0, 1
Let p(h) be the third derivative of 2*h**2 + 1/21*h**3 - 1/210*h**5 + 0*h**4 + 0*h + 0. Factor p(i).
-2*(i - 1)*(i + 1)/7
Let k be 2 - 0*2/6. Factor 24/5*g**k - 14/5*g**3 - 6/5*g - 4/5.
-2*(g - 1)**2*(7*g + 2)/5
Let u(j) be the second derivative of -j**4/8 + 3*j**3/4 + 3*j**2 + 10*j. Suppose u(w) = 0. Calculate w.
-1, 4
Let h(n) be the third derivative of n**7/300 + n**6/180 - 4*n**5/75 + n**4/15 - n**3/3 - 2*n**2. Let g(d) be the first derivative of h(d). Factor g(w).
2*(w - 1)*(w + 2)*(7*w - 2)/5
Let j = 23 - 21. Let v(z) be the first derivative of -1/3*z - 1/3*z**2 - 1/9*z**3 + j. Let v(u) = 0. Calculate u.
-1
Let i(n) be the first derivative of 1/3*n**3 + 2 + 0*n - 1/2*n**2. Factor i(h).
h*(h - 1)
Let g(v) = v - 2. Let n be g(4). Suppose h = -n*h + 12. Determine p so that -3*p**h + 5*p**3 + 6*p**4 - 2*p**3 = 0.
-1, 0
Let s(i) be the first derivative of -35*i**6/36 - 101*i**5/30 + 2*i**4/3 + 76*i**3/9 - 4*i**2/3 - 8*i/3 - 35. What is l in s(l) = 0?
-2, -2/7, 2/5, 1
Let a(z) = 6*z