 9/490*o**7 - 1/21*o**4 - 22*o**2. Suppose c(k) = 0. Calculate k.
0, 2/5, 1, 2
Let -2*a**3 - 1466*a**2 + 2877*a**2 - 1490*a**2 - 38*a + 39 = 0. Calculate a.
-39, -1, 1/2
Suppose 4*i + 0 = 5*m + 5, 3*m + 3 = -5*i. Let d(r) be the first derivative of -2*r**4 + i*r**2 - 2/5*r**5 - 8/3*r**3 + 4 + 0*r. Factor d(v).
-2*v**2*(v + 2)**2
Let g(q) be the first derivative of 2/11*q**3 + 1/11*q**4 - 2/11*q + 24 + 0*q**2. Factor g(k).
2*(k + 1)**2*(2*k - 1)/11
Let v(f) = -5*f**4 - f**3 + 4*f**2 - 4*f. Let l be 6/12 + 21/6. Let u(n) = 4*n**4 - 3*n**2 + 4*n. Let m(p) = l*u(p) + 3*v(p). What is j in m(j) = 0?
-1, 0, 2
Let n(w) be the first derivative of w**5/40 - w**4/8 + w**3/6 - 6*w + 8. Let i(u) be the first derivative of n(u). Find v such that i(v) = 0.
0, 1, 2
Suppose 4*r + 86 = 2*r + 2*c, 4*r + 4*c = -188. Let i be (-36)/r*(-5)/(-2). Factor -6*q - 3*q**3 + 6*q**3 + 4*q**i + q**2 - 2*q**2.
3*q*(q - 1)*(q + 2)
Let b(v) = 249*v - 3484. Let c be b(14). Factor -4/3*h + 0 + 2/3*h**3 + 2/3*h**c.
2*h*(h - 1)*(h + 2)/3
Let x(b) be the first derivative of 3*b**2 - 16*b**3 + 7 + 32*b**3 - 9*b - 15*b**3. Solve x(i) = 0 for i.
-3, 1
Let i = -2 - -4. Let f(h) be the second derivative of 5*h + 0*h**i + 0 + 0*h**3 + 1/42*h**4. Factor f(j).
2*j**2/7
Let h = 11 - 7. Let n be 4*(-3)/6 + h. Factor -10*a**3 - 5*a**4 - a**4 + 2 - 6*a**3 - 12*a**n.
-2*(a + 1)**3*(3*a - 1)
Factor -3/4*d**2 + 0 - d + 1/4*d**3.
d*(d - 4)*(d + 1)/4
Let o(d) = d**2 + d + 5. Let u be o(0). Suppose -12 = 4*i, 0*i + 54 = u*v - 3*i. Factor 7*s**2 + 3*s**2 - v*s**2 - 1.
(s - 1)*(s + 1)
Let k(r) be the third derivative of r**7/1155 - 2*r**6/165 - 7*r**5/165 + 4*r**4/11 - 9*r**3/11 + 2*r**2 + 21*r. Find y such that k(y) = 0.
-3, 1, 9
Suppose m + 5*z = z - 29, 3*z + 3 = 0. Let a be (-10)/m - 8/(-5). Determine w so that 8*w + 6*w**2 + 4 + 3*w - 3*w + a*w = 0.
-1, -2/3
Let q(z) = -2*z + 23. Let g be q(10). Solve -10*m - 5*m**5 + 12*m**4 + m**4 + 15*m - 10*m**2 - g*m**4 = 0.
-1, 0, 1
Solve 0*i - 3/4*i**3 + 24 - 9/2*i**2 = 0.
-4, 2
Let d(s) = -s**3 + s**2 - s + 4. Let g be d(0). Let l be -3 + 30/8 - ((-156)/16 + 2). Factor -1 + 11/2*i + l*i**3 - 21/2*i**2 - 5/2*i**g.
-(i - 1)**3*(5*i - 2)/2
Let q(p) = p**2 - 2*p - 2. Let c(y) = 8*y**2 + 38*y + 662. Let j(a) = -3*c(a) + 21*q(a). Factor j(h).
-3*(h + 26)**2
Let p = 1206/17 + -5996/85. Find c, given that 14/15*c**3 - p*c**2 + 0 + 2/5*c**4 - 2/3*c**5 - 4/15*c = 0.
-1, -2/5, 0, 1
Suppose -4 = -4*u + 3*u + p, 4*u - p - 13 = 0. Suppose -12*n + 31 - 4*n**3 + 6*n**3 + 2*n**u - 23 = 0. Calculate n.
-2, 1
Let s(w) = -w**3 + w**2 - w - 1. Let t(f) = 8*f + 3*f + 22 + 0 + 13*f**3 - 13. Let q(u) = 18*s(u) + 2*t(u). Factor q(i).
2*i*(i + 2)*(4*i + 1)
Let w = 301/1108 - 6/277. Find i, given that w*i**2 + 0 + 0*i = 0.
0
Let h = -104434/21 - -14920/3. Determine k so that -1/7*k - 1/7*k**5 + h*k**4 - 4/7*k**2 + 2/7 + 2/7*k**3 = 0.
-1, 1, 2
Let 17*z + 86/5 - 1/5*z**2 = 0. Calculate z.
-1, 86
Let g = 142 - 65. Factor -g*h - 75 - 80*h**2 - 50 - 123*h.
-5*(4*h + 5)**2
Let z(d) be the second derivative of -5*d**5/12 + 5*d**4/8 - d**3/3 - 5*d**2/2 + 3*d. Let q(l) be the first derivative of z(l). What is j in q(j) = 0?
1/5, 2/5
Let o(h) = h + 13. Let q be o(-3). What is g in 9 - 12*g - q*g**2 + 13*g**2 + 0*g**2 = 0?
1, 3
Let f(x) be the second derivative of 0*x**5 - 2*x - x**4 + 0 + 0*x**2 - 4/3*x**3 + 2/15*x**6. Factor f(t).
4*t*(t - 2)*(t + 1)**2
Let a be 3/12*4*5. Solve b**2 - b**4 - 3*b**5 - 5*b**3 + 4*b**3 + 4*b**a = 0.
-1, 0, 1
What is v in -11 - v**2 - 1 + 0*v**2 + 10 + 3*v = 0?
1, 2
Let t(v) be the third derivative of -1/70*v**7 + 0*v**3 - 12*v**2 + 0 + 1/8*v**4 + 1/20*v**5 - 1/40*v**6 + 0*v. Determine m so that t(m) = 0.
-1, 0, 1
Suppose 4*x - 5*x - 5 = 0. Let v be 48 + x/(5/(-3)). Factor i + i**2 + 51 - v.
i*(i + 1)
Find g such that 10/11*g**2 - 12/11*g**3 + 6/11*g**4 - 3/11*g - 1/11*g**5 + 0 = 0.
0, 1, 3
Let g be -4*6/1020*60/(-4). Factor -4/17 + g*b - 2/17*b**2.
-2*(b - 2)*(b - 1)/17
Let y be 21/56*4 - 1/1. Find f such that -y - 1/4*f**2 + 3/4*f = 0.
1, 2
Suppose -o - 6 = 2*t - 14, 3*o + 6 = 4*t. Suppose 3*n = p - 14, -p = -t*p + 2*n + 12. Let 4*d**3 - 7*d**2 - d**2 + 4*d**p = 0. Calculate d.
0, 1
Determine o so that 0 - 112/11*o - 2/11*o**3 + 30/11*o**2 = 0.
0, 7, 8
Let o = 11123/20 - 556. Let h(a) be the second derivative of 1/2*a**4 - 5*a + 0*a**2 + 1/2*a**3 + 0 + o*a**5. Factor h(y).
3*y*(y + 1)**2
Let b(f) be the third derivative of 0*f**3 + 3*f**2 + 0*f + 0*f**4 - 1/1080*f**6 + 0 + 1/1890*f**7 + 0*f**5. Factor b(p).
p**3*(p - 1)/9
Let l be 6 + -6 + -5 + -1 + 9. Let j(g) be the third derivative of -1/42*g**5 - l*g**2 + 0 + 0*g - 1/42*g**4 + 0*g**3. Solve j(i) = 0.
-2/5, 0
Suppose 0 = -2*s + 3*c + 15, -2*s - 2*c + 24 - 4 = 0. Suppose -5*u + o = -12, -u - 2*o = -0*o - s. Factor -12 - 9*d**2 - 18*d - 3/2*d**u.
-3*(d + 2)**3/2
Let n(y) be the first derivative of -5*y**4/4 - 40*y**3/3 - 95*y**2/2 - 60*y + 2. Factor n(p).
-5*(p + 1)*(p + 3)*(p + 4)
Suppose -6 = -2*t + 2. Suppose v + 1 = -2*n + 4*n, -4*v - t = 4*n. Factor -l**2 + 4*l + n*l - 5*l**2 + 2*l**3.
2*l*(l - 2)*(l - 1)
Factor -16*f**4 - 14*f**2 + 14*f**3 + 30*f**2 - 4*f - 10*f**3.
-4*f*(f - 1)*(f + 1)*(4*f - 1)
Let b be 5 + (-9)/2 - (-123)/(-2). Let d = -542/9 - b. Determine r, given that 0*r**2 + 0 - 2/9*r**3 + 0*r + d*r**5 + 5/9*r**4 = 0.
-1, 0, 2/7
Suppose 0 = -3*k + k - 2, 5*k = 5*b - 15. Let l be b/5 + (-11)/(330/12). Factor 2/7*f**2 + l*f + 0.
2*f**2/7
Let d be ((-4)/(-6))/(168/(-972)) + 12 + -8. Determine m so that 0*m - d + 1/7*m**2 = 0.
-1, 1
Solve 2*t**3 - 23*t + 15*t**3 - 12*t**3 - 40*t**2 + 103*t = 0 for t.
0, 4
Suppose -3*a + 5*d + 18 + 0 = 0, 4*a - 24 = 2*d. Let u(s) be the second derivative of -1/16*s**4 + a*s + 0*s**3 + 0*s**2 + 0. Find p such that u(p) = 0.
0
Let h(m) be the second derivative of m**6/225 - 6*m**5/25 + 18*m**4/5 + 173*m. Determine l, given that h(l) = 0.
0, 18
Factor 13/5*w**2 + 0*w + 0 + 1/5*w**3.
w**2*(w + 13)/5
Let u = 920 + -110399/120. Let v(x) be the second derivative of 5*x + 0 + 1/72*x**4 + u*x**5 + 0*x**3 + 0*x**2. Determine z so that v(z) = 0.
-1, 0
Let c(j) be the third derivative of -j**8/47040 + j**7/8820 - j**6/5040 + j**4/3 - 21*j**2. Let k(n) be the second derivative of c(n). Solve k(i) = 0.
0, 1
Let a be 4/(-9) - (16/12)/(-2). Let r = 242/531 + -2/177. Factor 10/9*u**5 - r*u + 26/9*u**4 + 2*u**3 - a*u**2 + 0.
2*u*(u + 1)**3*(5*u - 2)/9
Let l(n) be the third derivative of 0*n + 0 + 0*n**4 + 1/150*n**5 - 1/300*n**6 - 1/525*n**7 + 17*n**2 + 0*n**3 + 1/840*n**8. Factor l(s).
2*s**2*(s - 1)**2*(s + 1)/5
Let i(s) = -4*s**2 - 132*s + 2178. Let m(l) = 3*l**2 + 132*l - 2178. Let g(z) = 5*i(z) + 6*m(z). Factor g(y).
-2*(y - 33)**2
Let v(s) = -s**3 - 2*s**2 + 4*s - 7. Let j be v(-3). Let y = 12 + j. Find d such that -8/3*d**y + 2/3*d**3 + 10/3*d - 4/3 = 0.
1, 2
Let g(n) be the first derivative of -2/3*n**3 - 1/10*n**5 - 1/2*n**4 + 2 + 0*n**2 + 4*n. Let i(k) be the first derivative of g(k). Find r, given that i(r) = 0.
-2, -1, 0
Let t be 26/6 - (21 + -18). Let k(p) be the first derivative of -5 + 0*p + 0*p**4 - t*p**3 + 4/5*p**5 - 1/3*p**6 + p**2. Suppose k(m) = 0. Calculate m.
-1, 0, 1
Let -4/5*w**2 - 6/5*w + 6/5*w**4 - 2/5 + 2/5*w**5 + 4/5*w**3 = 0. What is w?
-1, 1
Let x(f) be the first derivative of -f**3 - 3/8*f**4 + 11 + 3/4*f**2 + 3*f. Suppose x(i) = 0. What is i?
-2, -1, 1
Let z(b) be the third derivative of -b**10/75600 + b**9/5040 - b**8/840 + b**7/315 - 7*b**5/15 + 19*b**2. Let r(j) be the third derivative of z(j). Factor r(l).
-2*l*(l - 2)**3
Let f be (0 - -2) + 2/(-3). Let h(a) be the first derivative of -f*a + 1 - 2/3*a**2 + 1/9*a**3 + 1/12*a**4. Find c, given that h(c) = 0.
-2, -1, 2
Let x(y) be the second derivative of y**3/6 + y**2/2 + 11*y. Let r(j) = -4*j**2 - 22*j - 18. Let z(n) = -r(n) - 10*x(n). Determine q so that z(q) = 0.
-2, -1
Let m = -344 + 623. Find l such that -4*l**5 - 40*l**4 + 6*l - m*l**3 - 32*l**2 + 337*l**3 + 12*l**5 = 0.
0, 1/2, 1, 3
Let h(q) be the second derivative of -q**6/4 - 9*q**5/20 + 3*q**4 - 5*q**3/2 - 9*q**2/4 + 2*q + 121. What is x in h(x) = 0?
-3, -1/5, 1
Let v(y) = -5*y**3 + 4*y**2. Let p(l) be the second derivative of -7/10*l**5 + 0*l**3 + 13/12*l**4 + 0*l**2 + 0 + 5*l. Let h(a) = -2*p(a) + 7*v(a). Factor h(d).
-d**2*(7*d - 