ivative of 4*s**5/5 + 11*s**4 + 12*s**3 - 22*s**2 - 40*s + 120. Suppose o(v) = 0. Calculate v.
-10, -1, 1
Let x(p) = -p - 19. Let s be x(-16). Let y(h) = -2*h**2 - 7*h - 5. Let j(o) = 10*o**2 + 34*o + 24. Let c(w) = s*j(w) - 14*y(w). Find k, given that c(k) = 0.
-1
Let p(w) = w**3 + 5*w**2 - 6*w + 2. Let y be p(-6). Factor 6 - 338*m**y + 336*m**2 - 4.
-2*(m - 1)*(m + 1)
Let d(z) = 0*z + 2*z - 7*z - 20. Let s be d(-9). Factor -20*b + s*b - 5*b**2 - 20*b.
-5*b*(b + 3)
Let g(n) = 9*n**2 - 28*n - 356. Let h(i) = 7*i**2 - 30*i - 357. Let m(f) = 4*g(f) - 5*h(f). Factor m(r).
(r + 19)**2
Let a = 2/5873 + 23486/17619. What is b in -14/3*b**2 + 0 - a*b = 0?
-2/7, 0
Let t(o) be the third derivative of o**5/240 + 7*o**4/24 + 49*o**3/6 + 26*o**2. Factor t(b).
(b + 14)**2/4
Suppose -18 = -3*q, 66*s + 3*q = 61*s + 28. Factor 1/11*p**3 + 8/11 - 4/11*p - 2/11*p**s.
(p - 2)**2*(p + 2)/11
Let z(m) be the second derivative of -m**6/90 - m**5/60 + 5*m**4/18 - 4*m**3/9 + 33*m. Let z(c) = 0. Calculate c.
-4, 0, 1, 2
Suppose -21*t + 22*t + 1 = 0. Let o be t/(-2)*(1 - (-2)/(-4)). Solve 0*g - 5/4*g**3 - 1/2*g**2 - o*g**5 - g**4 + 0 = 0 for g.
-2, -1, 0
Let a = 291/14 + -845/42. Factor a*i**2 + 1/3 + 1/6*i**3 + 5/6*i.
(i + 1)**2*(i + 2)/6
Let p = 30 + -28. Let h(y) = y**3 + y**2 - y + 1. Let s(o) = 2*o**4 + 28*o**3 + 24*o**2 - 28*o + 18. Let g(w) = p*s(w) - 44*h(w). Factor g(a).
4*(a - 1)*(a + 1)**2*(a + 2)
Let u = -440 + 2207/5. Let w(s) be the first derivative of 16/25*s**5 - 2/5*s**4 - 4 - 4/5*s - 4/5*s**3 + u*s**2 - 1/5*s**6. Determine t so that w(t) = 0.
-1, 2/3, 1
Let k(o) be the second derivative of 1/72*o**4 + 1/6*o**3 + 16*o - 1/120*o**5 + 0*o**2 + 0. Determine q so that k(q) = 0.
-2, 0, 3
Let x = 122 + -118. Factor -12*b**4 - 4*b + 22*b**x + 24*b**2 + 30*b**4 - 48*b**3 - 12*b**5.
-4*b*(b - 1)**3*(3*b - 1)
Suppose -3 = -a - 9. Let r be 4 + 5/(15/a). Let 2 + m - r*m**3 - 5*m**2 - 6*m + 0*m + 4*m = 0. Calculate m.
-2, -1, 1/2
Factor -1/4*r**4 + 7/4*r**2 + 3/2*r + 0*r**3 + 0.
-r*(r - 3)*(r + 1)*(r + 2)/4
Let g(m) = -2*m + 8. Let u be g(3). Let s be 0/(-3)*(1 + 0). Find d, given that -3/4*d**3 + 0 + s*d + 3/4*d**4 + 0*d**u = 0.
0, 1
Suppose 0 = -15*x + 10*x + 20. Let s(w) = 3*w**5 - 10*w**4 - 9*w**3 + 16*w**2 + 12*w + 4. Let c(z) = -z**4 + z**2 + 1. Let k(u) = x*c(u) - s(u). Solve k(o) = 0.
-1, 0, 2
Let w(g) be the first derivative of -g**8/10920 - g**7/1820 + g**6/585 + 11*g**3/3 - 9. Let d(f) be the third derivative of w(f). Factor d(z).
-2*z**2*(z - 1)*(z + 4)/13
Determine g so that 185/2*g + 5*g**3 + 105/4 - 195/4*g**2 = 0.
-1/4, 3, 7
Let r = -48 + 49. Suppose r - 9 = -4*h. Determine t, given that 1/2*t**3 + 1/2*t**4 + 0 + 1/6*t**h + 0*t + 1/6*t**5 = 0.
-1, 0
Let o(u) = 23*u + 209. Let t be o(-9). Let 0*v - 6/5*v**t + 8/5 + 2/5*v**3 = 0. Calculate v.
-1, 2
Suppose 4*q = -2*t + 14, 4*t - q - 5 = 14. Let k be 9/t - (-3 - 64/(-20)). Factor -2/5*r**2 - 6/5 + k*r.
-2*(r - 3)*(r - 1)/5
Let y(t) = t**3 + 8*t**2 + 2. Let a be y(-8). Let -3*o + 6*o + 3*o**a - o**2 + 2 - o**2 = 0. What is o?
-2, -1
Suppose -246 - 47 = -193*t + 286. Find m, given that 0 + 0*m**2 + m**4 + 0*m - 1/2*m**t - 1/2*m**5 = 0.
0, 1
Factor -5*k**4 + 20 + 32*k**3 - 1 + 17 + 88*k**2 + 96*k + 9*k**4.
4*(k + 1)**2*(k + 3)**2
Factor 42*f**3 + 40*f + 2*f**5 + 16*f**4 - 48 - 61*f**3 + 28*f**2 - 5*f**5 - 23*f**3 + f**5.
-2*(f - 3)*(f - 2)**3*(f + 1)
Let u(k) = -k**3 + 18*k**2 - 25*k + 12. Let z(j) = -j**2. Let f(g) = -3*u(g) - 12*z(g). What is l in f(l) = 0?
1, 12
Let j(d) = -18*d + 3. Suppose 8 = 7*h - 9*h. Let x be j(h). Suppose 5*w**3 - 8*w**2 - 4 + 74*w**4 + 4*w - x*w**4 + 4 = 0. What is w?
0, 1, 2
Determine b, given that -4*b - 4*b**2 + 15378 - 15378 = 0.
-1, 0
Factor 0 - 7/6*u**2 + 0*u**3 + 1/6*u**4 - u.
u*(u - 3)*(u + 1)*(u + 2)/6
Let k(w) be the third derivative of w**5/60 + w**4/6 + 2*w**3/3 - 20*w**2 + 5*w. Determine c, given that k(c) = 0.
-2
Solve -1/2*m**4 + 0*m + 2*m**2 + 0 - 2*m**3 + 1/2*m**5 = 0 for m.
-2, 0, 1, 2
Let n = -65 + 69. Let y(q) = -q**2 - 5*q + 36. Let b be y(n). Determine j so that -4/15*j - 6/5*j**2 - 8/15*j**3 + b + 2*j**4 = 0.
-2/5, -1/3, 0, 1
Let n(o) be the second derivative of -3/10*o**5 + 0 + o**3 - 17*o - 2/3*o**2 + 4/45*o**6 - 1/9*o**4. Determine x, given that n(x) = 0.
-1, 1/4, 1, 2
Let j(z) be the second derivative of z**5/120 + z**4/72 - 4*z**3/9 + 5*z**2/3 - 3*z - 45. Solve j(t) = 0.
-5, 2
Let y(n) be the second derivative of -n**9/18900 + n**8/1680 - 2*n**7/1575 + 11*n**4/12 + 25*n. Let m(a) be the third derivative of y(a). Factor m(i).
-4*i**2*(i - 4)*(i - 1)/5
Let t(a) be the third derivative of -a**8/110880 - a**7/13860 + 11*a**5/60 + 5*a**2. Let z(x) be the third derivative of t(x). Determine d, given that z(d) = 0.
-2, 0
Let s(r) = r**2 + 1. Let v(m) = -4*m**2 - 4*m - 12. Let h(f) = -5*s(f) - v(f). Let a be h(5). Suppose 2*k - 8*k + 0*k - 4 - 2*k**a = 0. What is k?
-2, -1
Let c = 150274/5 + -29957. Let g = c + -1147/15. Factor 160/3*n - g + 2/3*n**5 + 80/3*n**3 - 20/3*n**4 - 160/3*n**2.
2*(n - 2)**5/3
Let x(a) be the second derivative of 1/60*a**5 + 1/180*a**6 + 0 - 1/36*a**4 + 7*a + 1/12*a**2 - 1/252*a**7 - 1/36*a**3. Factor x(q).
-(q - 1)**3*(q + 1)**2/6
Let a(d) be the first derivative of -3/20*d**5 + d + 0*d**3 + 0*d**2 + 1/4*d**4 - 7. Let t(h) be the first derivative of a(h). Let t(f) = 0. What is f?
0, 1
Let x(o) be the second derivative of -2*o - 5/12*o**4 - 10/3*o**3 + 18 - 10*o**2. Suppose x(k) = 0. Calculate k.
-2
Let z(p) = 5 + 96*p**3 - 45*p**3 - 50*p**3 + 7*p**2. Let t be z(-7). Let 21 - 21 + t*r**5 - 2*r**3 - 3*r**4 = 0. What is r?
-2/5, 0, 1
Let d be 26 + -18 + (-162)/21. Let x(o) = -o**2 + 10*o - 7. Let i be x(9). Factor 2/7*h**3 + d - 2/7*h - 2/7*h**i.
2*(h - 1)**2*(h + 1)/7
Let q(f) be the first derivative of -11 + 0*f + 0*f**5 - 3/2*f**4 + 3/2*f**2 + 0*f**3 + 1/2*f**6. Factor q(g).
3*g*(g - 1)**2*(g + 1)**2
Let v(l) be the first derivative of 13*l**4/2 - 28*l**3/3 - 276*l**2/13 - 144*l/13 - 547. Factor v(z).
2*(z - 2)*(13*z + 6)**2/13
Let m(b) = -3*b**2 - 16*b + 3. Let l be m(-3). Factor 12*g - 3/2*g**2 - l.
-3*(g - 4)**2/2
Let h = 70 + -68. Let x(t) = -3*t**3 - t**2 + 7*t + 5. Let v(g) = g**3 - 3*g - 2. Let u(l) = h*x(l) + 5*v(l). Suppose u(b) = 0. Calculate b.
-1, 0
Let n be 3 + 4*(-2)/(-8). Let 16 + n*b**2 - 9*b**2 - 11 = 0. What is b?
-1, 1
Let l(b) = -b**3 - b**2. Let g(m) = 8*m**2 + 6*m - 18. Suppose -4*i - 15 = x, -5*i - 9 - 11 = 0. Let r(s) = x*g(s) - 2*l(s). Determine d, given that r(d) = 0.
-3, 1
Let h be (-304)/10 - 4/(-10). Let n = 96 + h. Determine w so that -n*w**2 - w + 65*w**2 + 0*w = 0.
-1, 0
Let l = -289 + 476. Let o = l - 187. Suppose o + 27/5*b + 3/5*b**3 + 18/5*b**2 = 0. Calculate b.
-3, 0
Let a = -2889 + 2893. Determine m so that 0 + 16/19*m**2 + 20/19*m**3 - 6/19*m**a + 0*m = 0.
-2/3, 0, 4
Let c(z) = 8*z - 160. Let h be c(20). Let b(j) be the second derivative of 5/7*j**4 + h + 12/7*j**3 - 5/14*j**5 + 8*j + 8/7*j**2. Factor b(k).
-2*(k - 2)*(5*k + 2)**2/7
Let j(y) be the second derivative of -y**4/3 - 170*y**3/3 - 168*y**2 - 8*y + 4. Factor j(o).
-4*(o + 1)*(o + 84)
Let s(m) = 68*m + 6868. Let a be s(-101). Find z such that -8/7*z**3 + a - 2/7*z + 10/7*z**2 = 0.
0, 1/4, 1
Suppose 0 - 24/11*y**2 - 94/11*y**4 + 0*y - 18/11*y**5 - 128/11*y**3 = 0. What is y?
-3, -2, -2/9, 0
Let b(l) be the second derivative of -l**6/1440 - l**5/80 - 3*l**4/32 - 3*l**3/2 + 4*l. Let a(p) be the second derivative of b(p). Factor a(u).
-(u + 3)**2/4
Let u(q) be the second derivative of 9*q**5/25 + 2*q**4/15 - 6*q**3/5 - 4*q**2/5 + q - 19. Solve u(x) = 0.
-1, -2/9, 1
Let 17*k**3 - 25*k - 16*k + 23*k**4 + 15*k**3 + 6*k**5 + 43*k - 1 + 18*k**2 = 0. Calculate k.
-1, 1/6
Let x(u) be the second derivative of u**4/36 - 41*u**3/9 + 1681*u**2/6 + 143*u. Let x(h) = 0. What is h?
41
Let x be 2/6 + 2/(-6). Suppose w - 6 = -v, 0 = -4*v + 2*w - w - 6. Suppose -2/3*p**2 + p**4 + x*p + 1/3*p**3 + v = 0. Calculate p.
-1, 0, 2/3
Suppose -5*l - 2*y = -21, -3*y - 47 + 31 = -2*l. Let b(m) be the second derivative of 1/15*m**3 - l*m - 1/10*m**2 - 1/60*m**4 + 0. Let b(f) = 0. Calculate f.
1
Let k = 7 - 4. Suppose -k = 3*t, 4*r = -t - 4*t + 15. Factor -3*y**2 - 5 + r + 3.
-3*(y - 1)*(y + 1)
Let w(c) be the first derivative of 0*c + 7 + 10/21*c**3 + 9/14*c**2 