s*c**5.
-2*c**2*(c - 1)**2*(c + 1)/3
Let l(c) be the second derivative of -c**5/10 - 7*c**4/6 - 16*c**3/3 - 12*c**2 - 32*c. Factor l(b).
-2*(b + 2)**2*(b + 3)
Let l = -248 - -511/2. Let n(k) be the first derivative of 7/6*k**6 + l*k**2 + 2*k + 6*k**5 + 25/2*k**4 + 2 + 40/3*k**3. Let n(d) = 0. What is d?
-1, -2/7
Suppose 3*a - 5*f = 31, -35 + 9 = -3*a + 4*f. Suppose -a*y + 3*m - 6 = 0, 2*m + 0 = -2*y + 4. Solve 5*z**4 + 2*z**3 + y*z**4 + z**4 = 0 for z.
-1/3, 0
Factor -3/2*i + 9/4 + 1/4*i**2.
(i - 3)**2/4
Let o(h) be the first derivative of -9*h**5/5 + 3*h**4/2 + 19. What is f in o(f) = 0?
0, 2/3
Let y(f) be the third derivative of -9*f**7/350 + 33*f**6/50 - 97*f**5/25 - 88*f**4/5 - 128*f**3/5 - f**2 + 5. Determine h, given that y(h) = 0.
-2/3, 8
Let g(b) be the third derivative of b**5/180 + b**4/24 + b**3/9 + b**2. Solve g(i) = 0.
-2, -1
Suppose 0 = -10*b - 25*b + 10*b. Determine j so that -1/2 - j**3 + j + b*j**2 + 1/2*j**4 = 0.
-1, 1
Find t such that 46*t**2 + 3*t**4 + 12*t - 3 - 30*t**3 - 46*t**2 + 18*t**5 = 0.
-1, 1/3, 1/2, 1
Let w be (1*2/5)/1. Let x(g) be the first derivative of w*g**2 - 1 + 2/15*g**3 + 0*g. Factor x(i).
2*i*(i + 2)/5
Let x(o) be the first derivative of o**4/8 - 3*o**3/2 - 5*o**2/2 - 43. Factor x(k).
k*(k - 10)*(k + 1)/2
Factor -2/3*a**2 + 0 + 0*a**3 + 0*a + 2/3*a**4.
2*a**2*(a - 1)*(a + 1)/3
Factor 0 - 3/2*v - 21/4*v**2.
-3*v*(7*v + 2)/4
Let o(d) = -d**2 + d. Let a(k) = -10*k**2 + 8*k + 2. Let q = 75 - 106. Let l = 9 + q. Let v(y) = l*o(y) + 2*a(y). Factor v(f).
2*(f - 2)*(f - 1)
Let m(u) be the first derivative of -1/2*u**2 - 4 - 1/3*u**3 + 2*u. Solve m(r) = 0 for r.
-2, 1
Let x(y) be the second derivative of 1/30*y**5 + 0*y**3 - 2*y + 0*y**2 + 1/18*y**4 + 0. Factor x(h).
2*h**2*(h + 1)/3
Let q(h) be the second derivative of -h**7/21 - 2*h**6/15 - h**5/10 - 2*h. Factor q(z).
-2*z**3*(z + 1)**2
Let b = 1/188 + 373/564. Solve z + 1/3*z**2 + b = 0.
-2, -1
Let g(p) be the first derivative of 9*p**4/10 - 22*p**3/15 + 2*p**2/5 + 8. Let g(q) = 0. Calculate q.
0, 2/9, 1
Suppose 2*k - g + 3 = k, -k - 9 = -3*g. Suppose k = 4*z - 5*p - 5, 3*z - 31 = -2*z - 2*p. Factor 0*v + 0 + 0*v**2 + 0*v**4 - 2/5*v**3 + 2/5*v**z.
2*v**3*(v - 1)*(v + 1)/5
Let f(k) = 2*k**2 + 4*k + 2. Let q be f(-2). Find d such that -2/3 - 2/3*d**3 - 2*d - q*d**2 = 0.
-1
Let s = 131/3 - 43. Solve 0*q + 1/3*q**3 + 0 + 1/3*q**4 - s*q**2 = 0 for q.
-2, 0, 1
Let g = 17 - 17. Let l(f) be the third derivative of -1/15*f**5 + 0*f**3 + 0 + g*f - f**2 + 1/24*f**4 - 1/105*f**7 + 1/24*f**6. Solve l(v) = 0 for v.
0, 1/2, 1
Suppose -2*d = 4*o - 8, -6*o = -3*o + d - 4. Let f(h) be the first derivative of o*h - 4/3*h**3 + 0*h**4 + 4/5*h**5 + h**2 - 1/3*h**6 + 3. Factor f(s).
-2*s*(s - 1)**3*(s + 1)
Suppose 3*k + k = -16, -12 = 3*t + 3*k. Suppose -3*q = -2*d - d, d + 2*q = t. Solve 0 - 2/3*r**3 + 4/3*r**5 - 2/3*r**4 + d*r + 0*r**2 = 0.
-1/2, 0, 1
Let t be (2/2)/(2/(-6)). Let a = t - -5. Solve h**2 - a*h + h - 2*h**2 = 0.
-1, 0
Let s(l) = -18*l**3 - 24*l**2 + 11*l + 7. Let g(j) = -9*j**3 - 12*j**2 + 6*j + 3. Let p(u) = -5*g(u) + 3*s(u). What is x in p(x) = 0?
-1, 2/3
Let h(i) = i**3 + 6*i**2 + 3*i - 5. Let x be h(-5). Suppose 2*u + x = 3*u. Factor -1/3*t**3 + 0*t - 4/3*t**4 + 0 + 2/3*t**2 + t**u.
t**2*(t - 1)**2*(3*t + 2)/3
Let b(x) be the first derivative of -2*x**5/5 + 2*x**4 - 8*x**3/3 - 3. Determine p so that b(p) = 0.
0, 2
Let m(i) be the second derivative of i**8/6720 - i**7/1680 - i**6/1440 + i**5/240 - i**3 - 3*i. Let b(x) be the second derivative of m(x). Solve b(v) = 0.
-1, 0, 1, 2
Let g(i) be the first derivative of -1/10*i**5 - 2*i**2 + 3*i + 1/3*i**4 - 1 + 1/3*i**3. Let k(d) be the first derivative of g(d). Solve k(a) = 0 for a.
-1, 1, 2
Let k(n) be the second derivative of -n**4/48 + n**3/4 - 5*n**2/8 + 3*n. Find r, given that k(r) = 0.
1, 5
Solve 2/13*v - 2/13*v**3 - 2/13*v**2 + 2/13*v**4 + 0 = 0 for v.
-1, 0, 1
Let j be ((-2)/9)/(88/(-33)). Let i(n) be the third derivative of 0*n - j*n**4 - 1/30*n**5 - 1/9*n**3 + 0 - 1/180*n**6 + 2*n**2. Factor i(x).
-2*(x + 1)**3/3
Suppose 288*q + 3/2*q**3 + 36*q**2 + 768 = 0. Calculate q.
-8
Suppose -2*b + 10 = -4*p, 7*p - 4*p = -5*b + 25. Let i = -9/22 + 10/11. Factor p - 1/2*n - i*n**2.
-n*(n + 1)/2
Suppose 5 = -c - 7. Let j = -6 - c. Factor 1 - 8*u**2 - 2*u**5 + 3*u - 2*u**3 + 7*u**4 - 5*u + j*u**5.
(u - 1)*(u + 1)**3*(4*u - 1)
Let n(m) = -4*m**3 + 2*m**2 - m - 2. Let v(h) = -5*h**3 + 2*h**2 - h - 2. Let x(q) = 6*n(q) - 5*v(q). Suppose x(y) = 0. What is y?
-2, -1, 1
Let v = -403 + 408. Let -2/5*o**2 - 6/5*o**3 + 2/5*o**v + 4/5*o + 2/5*o**4 + 0 = 0. Calculate o.
-2, -1, 0, 1
Let b(u) be the third derivative of 0*u**5 + 3*u**2 - 1/108*u**4 + 0 + 0*u + 0*u**3 + 1/135*u**6. Factor b(q).
2*q*(2*q - 1)*(2*q + 1)/9
Let g(o) be the third derivative of o**5/15 - 4*o**4/3 + 32*o**3/3 - 6*o**2 - 2. Let g(q) = 0. Calculate q.
4
Find k, given that 0 + 4/3*k**2 - 2*k**3 - 8*k**4 + 0*k - 14/3*k**5 = 0.
-1, 0, 2/7
Solve 8*k**3 - 10*k**4 - 15*k**5 + 19*k**5 - 2*k**4 = 0 for k.
0, 1, 2
Let p(b) be the third derivative of -1/1155*b**7 + 0 + 1/660*b**6 + 0*b - 6*b**2 + 0*b**5 + 0*b**4 + 0*b**3. What is v in p(v) = 0?
0, 1
Let b(a) be the third derivative of a**7/2268 - 7*a**6/3240 + a**5/270 - a**4/12 + 2*a**2. Let d(i) be the second derivative of b(i). Factor d(q).
2*(q - 1)*(5*q - 2)/9
Let n(d) be the third derivative of -3*d**2 + 0*d + 0*d**4 - 1/330*d**5 + 0 + 1/33*d**3. Factor n(p).
-2*(p - 1)*(p + 1)/11
Let y(o) = o**2 + o + 6. Let g be y(-6). Let c = -22 + g. Factor 2 - p**3 + 6*p**2 + 2*p - c*p + 6.
-(p - 2)**3
Suppose 1 = -3*c + 5*v, 2*c + 3 = 5*v - 1. Suppose 0 = -0*h + c*h. Factor 0 - 4/7*l**2 + h*l + 6/7*l**3 + 2*l**5 + 24/7*l**4.
2*l**2*(l + 1)**2*(7*l - 2)/7
Factor 6/7*n**2 + 3/7*n + 0 + 3/7*n**3.
3*n*(n + 1)**2/7
Let r(n) be the first derivative of -n**9/1512 + n**8/420 - n**7/420 + n**3 + 2. Let b(v) be the third derivative of r(v). Factor b(m).
-2*m**3*(m - 1)**2
Let r be (-44)/(-7) - 26/(-91)*-2. Find c, given that 16/7 + 36/7*c**2 + 2/7*c**4 + 2*c**3 + r*c = 0.
-2, -1
Let f = 187 - 183. Determine k, given that -1/4*k**3 + 1/4*k**2 + 0 - 1/4*k**f + 1/4*k = 0.
-1, 0, 1
Let x(o) be the first derivative of -1/6*o**3 - 3/4*o**2 + 1 - o. Factor x(b).
-(b + 1)*(b + 2)/2
Let c(p) be the second derivative of p**5/60 + p**4/12 + p**3/6 + p**2 - 3*p. Let h(b) be the first derivative of c(b). Solve h(t) = 0 for t.
-1
Let j(a) = -a**2 - 5*a - 7. Let i be j(-3). Let h = 3 - i. Factor 0 + 0*w - 1/4*w**2 - 1/2*w**3 - 1/4*w**h.
-w**2*(w + 1)**2/4
Suppose 16*d - 56 = -8. Let n(m) be the first derivative of 1/9*m**d + 0*m**2 - 1/3*m - 3. Factor n(v).
(v - 1)*(v + 1)/3
Let x(h) be the first derivative of h**5/20 + h**4/4 + h**3/2 - 7*h**2/2 - 4. Let u(i) be the second derivative of x(i). Determine c, given that u(c) = 0.
-1
Factor 6*k**2 + 14*k**2 + 13*k - 14*k**3 + 2*k**3 + 3*k - 16.
-4*(k - 2)*(k + 1)*(3*k - 2)
Factor -11/2*k**3 - 1 - 2*k**4 - 17/4*k - 7*k**2 - 1/4*k**5.
-(k + 1)**4*(k + 4)/4
Let y(s) = s + s - 4 - 3*s. Let u be y(-8). Factor 33*g**4 + g**3 - 49*g**5 - 5*g**3 - 5*g**u.
-g**3*(7*g - 2)**2
Let d be 1/((-3)/(-21) - (-165)/70). Suppose -5*b - 2*x + 18 = 0, -b + 4*x + 1 - 15 = 0. Factor 0 - 2/5*o**3 - 4/5*o**b - d*o.
-2*o*(o + 1)**2/5
Suppose 2/5*t**3 + 98/5*t - 28/5*t**2 + 0 = 0. Calculate t.
0, 7
Suppose 9/5*k + 9/5*k**2 + 3/5*k**3 + 3/5 = 0. What is k?
-1
Let w be ((-8)/6)/(8/60). Let r be (-3)/6 + w/(-15). Solve 0 + r*u + 1/6*u**4 - 1/6*u**3 - 1/6*u**2 = 0.
-1, 0, 1
Let l(h) be the third derivative of -h**6/1440 - h**5/80 - 3*h**4/32 + 4*h**3/3 + 6*h**2. Let z(i) be the first derivative of l(i). Factor z(s).
-(s + 3)**2/4
Determine f, given that -34*f + 9*f + 28*f**2 - 5*f**5 + 22*f**2 - 6*f**4 - 50*f**3 + 5 + 31*f**4 = 0.
1
Let m(j) be the third derivative of j**7/90 - j**6/72 - j**5/20 + 5*j**4/72 + j**3/9 - 12*j**2. Solve m(l) = 0.
-1, -2/7, 1
Let o(p) = -p**2 + p + 44. Let a be o(-6). Factor -2/7*r**a - 2/7*r**4 + 0 + 0*r - 4/7*r**3.
-2*r**2*(r + 1)**2/7
Let u(d) = d**2 - d - 5. Suppose 4*r + 18 = 6*r. Let n = 31 - r. Let s(b) = -b**3 - 5*b**2 + 4*b + 19. Let o(p) = n*u(p) + 6*s(p). Factor o(k).
-2*(k + 1)**2*(3*k - 2)
Let y be (2/(-124))/((-1)/6). Let x = y + 41/217. Let 6/7*j**2 - 8/7*j + x = 0. Calculate j.
1/3, 1