) = 0.
-1, 0, 5/2
Factor 80*g**3 + 836*g - 5*g**2 + 5*g**4 - 402*g - 514*g.
5*g*(g - 1)*(g + 1)*(g + 16)
Let s be 6 + 3 + (-565)/63. Let f(c) be the second derivative of 1/21*c**2 + s*c**3 + 1/126*c**4 + 0 + 5*c. Determine h, given that f(h) = 0.
-1
Suppose -4*i - o + 101 = 0, -3*i - 4*o = -98 + 6. Let z = -22 + i. What is y in -4*y**z + 6*y**2 + 16*y**3 + 2*y**2 = 0?
-1/4, 0
Let h(u) be the second derivative of -43/10*u**5 - 4/15*u**6 - 36*u**2 + 8*u + 56*u**3 - 85/6*u**4 + 0. Determine m, given that h(m) = 0.
-6, 1/4, 1
Let h(c) = -c**2 + 8*c - 6. Suppose -2*m = -3*d + 48, d = 3*d - m - 31. Let f(q) = -2*q**2 + 17*q - 12. Let z(p) = d*h(p) - 6*f(p). Solve z(j) = 0 for j.
2, 3
Let f(n) be the second derivative of -n**6/10 - 17*n**5/20 - 3*n**4/2 + 4*n**3/3 - 3*n - 18. Let f(a) = 0. What is a?
-4, -2, 0, 1/3
Suppose -8 + 2 = -3*x. Let j**x + 6 - 8*j - 2*j**2 - 3*j**2 + 6 = 0. Calculate j.
-3, 1
Let p(b) be the first derivative of -2*b**3/57 - 78*b**2/19 - 154*b/19 + 280. Factor p(o).
-2*(o + 1)*(o + 77)/19
Let b = -13789/5 + 2758. Factor -4/5*r + 3/5 + b*r**2.
(r - 3)*(r - 1)/5
Factor 0*i - 5/4*i**3 + 1/4*i**5 + 27 - 45/4*i**2 + 5/4*i**4.
(i - 2)**2*(i + 3)**3/4
Let d(h) be the second derivative of 29*h**6/25 + 519*h**5/100 + 171*h**4/20 + 11*h**3/2 - 3*h**2/10 + h - 10. Let d(j) = 0. Calculate j.
-1, 1/58
Let m(u) be the third derivative of -u**5/30 - 77*u**4/12 - 40*u**2. Factor m(y).
-2*y*(y + 77)
Let v be (28/55)/((-2352)/(-3360)). Factor v + 2/11*o**2 - 10/11*o.
2*(o - 4)*(o - 1)/11
Let v = -2427 + 2432. Factor v*q + 5/4*q**2 + 5.
5*(q + 2)**2/4
Let x(c) be the second derivative of 3*c**5/40 + 5*c**4/8 + 2*c**3 + 3*c**2 + 7*c - 16. Suppose x(q) = 0. What is q?
-2, -1
Let i(c) be the second derivative of c**5/50 - 7*c**4/120 - c**3/30 - c - 18. Solve i(k) = 0.
-1/4, 0, 2
Suppose 0 = s - 1 - 2. Suppose -5*l + 5*o = -30, 3 = s*l + 2*l + 4*o. Determine q, given that -q - l*q**2 + 4*q**2 + 2*q = 0.
-1, 0
Let v(g) = -g**2 + 273*g - 1602. Let u be v(6). Factor u*n + 8/13*n**4 + 4/13*n**2 + 2/13*n**5 + 10/13*n**3 + 0.
2*n**2*(n + 1)**2*(n + 2)/13
Let y be 280/(-14) + 6 + 17. Solve 3/4*m**y - 1/4*m**2 + 0 - 1/4*m**5 - 1/2*m + 1/4*m**4 = 0.
-1, 0, 1, 2
Let z(v) = -5*v + 39. Let q be z(9). Let p be -4 + (-6)/(q/7). Determine o so that -21/4*o**5 - 6*o**2 + 0 - p*o + 63/4*o**3 - 3/2*o**4 = 0.
-2, -2/7, 0, 1
Factor -3/7*x**3 + 3/7*x + 12/7 - 12/7*x**2.
-3*(x - 1)*(x + 1)*(x + 4)/7
Let n(y) be the second derivative of y**7/147 - y**6/70 - 4*y**5/35 - 5*y**4/28 - 2*y**3/21 - 45*y. Suppose n(i) = 0. Calculate i.
-1, -1/2, 0, 4
Let c(b) be the second derivative of 12*b + 0 + 1/3*b**2 + 0*b**3 - 1/9*b**4 + 1/45*b**6 + 0*b**5. Factor c(a).
2*(a - 1)**2*(a + 1)**2/3
Suppose 33/7*c + 78/7 - 3/7*c**2 = 0. Calculate c.
-2, 13
Suppose -5*d + 4*m = -6, -27*d = -26*d - 5*m + 3. Factor -15/2*o**3 - 27/2*o - 3 - 18*o**d.
-3*(o + 1)**2*(5*o + 2)/2
Let q(m) be the second derivative of m**4/21 + 82*m**3/21 + 80*m**2/7 - 14*m + 3. Factor q(p).
4*(p + 1)*(p + 40)/7
Let y(d) be the first derivative of d**7/1785 - d**5/255 + d**3/51 + d**2/2 - 13. Let v(n) be the second derivative of y(n). Factor v(r).
2*(r - 1)**2*(r + 1)**2/17
Let z(y) be the second derivative of y**6/90 - y**5/15 + y**3 + 5*y. Let h(m) be the second derivative of z(m). Factor h(j).
4*j*(j - 2)
Let b(r) be the third derivative of 0*r**3 + 1/40*r**5 + 1/80*r**6 + 0*r + 6*r**2 + 1/420*r**7 + 1/48*r**4 + 0. Find q, given that b(q) = 0.
-1, 0
Let u(j) = 50*j + 1850. Let d be u(-37). Factor d + 8/3*v**2 - 4/3*v**3 - 4/3*v.
-4*v*(v - 1)**2/3
Let t be (-15)/((-2)/((-16)/(-12))). Let j be (20/(-25))/((-36)/t). What is b in 2/9*b**2 - j + 0*b = 0?
-1, 1
Let y = 27898/1897 - 114/271. Suppose 2*n**5 - 80/7*n**2 - 60/7*n**4 + y*n**3 - 4/7 + 30/7*n = 0. What is n?
2/7, 1
Let r be (-6)/(-4) - 790/140 - (-150)/30. What is x in -r*x**4 - 8*x**3 - 110/7*x**2 + 100/7*x + 0 = 0?
-5, 0, 2/3
Let p be 348/(-261)*(-1)/4. Let r(n) be the first derivative of -p*n - 1/9*n**3 + 7 + 1/3*n**2. Factor r(q).
-(q - 1)**2/3
Let q(b) be the first derivative of 7/2*b**2 + 1/48*b**4 - 7 + 0*b + 7/240*b**5 + 0*b**3. Let c(j) be the second derivative of q(j). Factor c(d).
d*(7*d + 2)/4
Let r(h) be the third derivative of 4*h**2 + 1/72*h**4 + 1/224*h**8 + 0*h + 0*h**3 - 11/720*h**6 - 7/360*h**5 + 1/180*h**7 + 0. Suppose r(y) = 0. What is y?
-1, 0, 2/9, 1
Suppose 15*f = 4*f + 3091. Let q = -278 + f. Factor 0 - 1/2*p - 3/2*p**q + 2*p**2.
-p*(p - 1)*(3*p - 1)/2
Let g(j) = -j**2 - 6*j + 19. Let n be g(-8). Factor -15*z**n - 26*z - 4 - 36*z**2 - 2 - z.
-3*(z + 1)**2*(5*z + 2)
Let y(h) be the third derivative of h**8/10080 - h**7/2520 - 2*h**3/3 - 17*h**2. Let c(p) be the first derivative of y(p). Factor c(g).
g**3*(g - 2)/6
Factor -234*v - 118*v**2 + 250*v**2 - 236 - 130*v**2.
2*(v - 118)*(v + 1)
Let p(y) be the third derivative of -y**9/1512 + y**7/210 - y**5/60 - 4*y**3/3 - 7*y**2. Let h(b) be the first derivative of p(b). Factor h(w).
-2*w*(w - 1)**2*(w + 1)**2
Let z(n) = n**3 - n**2 - n + 1. Let i(l) = 2*l**5 - 74*l**4 + 782*l**3 - 1934*l**2 + 1808*l - 584. Let d(m) = i(m) + 6*z(m). Factor d(r).
2*(r - 17)**2*(r - 1)**3
Let i = 32 + 2. Let g be -1 + (1 - 0) + 17/i. Factor 0 - g*d + 1/2*d**2.
d*(d - 1)/2
Let y = 12 - 9. Let r = 0 + 2. Factor o - o**r + 0*o + y*o**2 - 5*o.
2*o*(o - 2)
Let r(h) be the first derivative of h**6/30 + h**5/10 - h**3/3 - h**2/2 - 23*h + 17. Let g(d) be the first derivative of r(d). What is w in g(w) = 0?
-1, 1
Let d = 333 - 327. Let n be (-6)/(d*21)*(-36)/3. Find o, given that -12/7*o**2 + n + 8/7*o = 0.
-1/3, 1
Suppose -4*g - 2*v + 22 = 0, -2*v = 3*g + 5 - 23. Solve 10*m**2 - 5*m**3 + g + 5*m**2 - 24 = 0 for m.
-1, 2
Factor -65 + 5/2*i**3 + 30*i**2 - 75/2*i.
5*(i - 2)*(i + 1)*(i + 13)/2
Determine j so that -53 - 192*j + 20*j**2 + 214 + 67*j - 80 - 51 = 0.
1/4, 6
Let y(o) be the third derivative of o**6/90 + o**5/10 + o**4/3 - 11*o**3/6 + 2*o**2. Let v(s) be the first derivative of y(s). Solve v(n) = 0 for n.
-2, -1
Let r = -9330 + 9330. Determine y, given that -1/11*y**2 - 5/11*y + r = 0.
-5, 0
Let m be 534/(-623)*4/(60/(-35)). Determine w so that 1/3*w**m - 1 - 2/3*w = 0.
-1, 3
Let a(f) be the second derivative of f**7/483 + 2*f**6/345 - f**5/115 - 2*f**4/69 + f**3/69 + 2*f**2/23 + 2*f - 17. Suppose a(c) = 0. What is c?
-2, -1, 1
Let n(o) be the second derivative of o**6/90 + o**5/30 - o**4/36 - o**3/9 - 337*o. Determine w, given that n(w) = 0.
-2, -1, 0, 1
Let q(n) be the third derivative of n**7/945 + n**6/180 - n**5/135 - n**4/9 - 8*n**3/27 + 3*n**2 + 110*n. Factor q(l).
2*(l - 2)*(l + 1)*(l + 2)**2/9
Let d(a) be the second derivative of a**5/70 + 5*a**4/14 - 16*a**3/21 - 342*a. Factor d(s).
2*s*(s - 1)*(s + 16)/7
Let v = -1643 + 36151/22. Let b(h) be the first derivative of 4/33*h**3 + 8/55*h**5 + 1/33*h**6 + v*h**4 + 0*h - 7 + 0*h**2. Determine t, given that b(t) = 0.
-2, -1, 0
Let i = 23 + -18. Let v(a) = -45*a**2 - 125*a - 85. Let s(r) = -r**3 + r + 1. Let g(z) = i*s(z) + v(z). Determine q, given that g(q) = 0.
-4, -1
Let b(s) = 2*s**2 + 7*s - 3. Let r be b(-4). Let -r - 2/3*k + 1/3*k**2 = 0. Calculate k.
-1, 3
Let l(x) be the first derivative of 9*x**5/20 + 3*x**4/8 + x**3/12 + 22. Factor l(n).
n**2*(3*n + 1)**2/4
Let b be (17 + -16)/((-2 - 1) + 2). Let i be ((-5)/(-4) + b)*1. Solve 7/4*d**4 + 0 + 0*d + 1/2*d**3 + d**5 - i*d**2 = 0.
-1, 0, 1/4
Let n(k) = 4*k**3 + 5*k**2 + 16*k - 12. Let l(h) = -3*h**3 - 3*h**2 - 11*h + 8. Let w(t) = -7*l(t) - 5*n(t). Let f be w(5). Factor -f + 2*x**2 + 9 + 3.
2*(x - 1)*(x + 1)
Suppose -24 = 2*g + 4*k, -2*g + 5*k + 6 - 30 = 0. Let x be ((-2)/(-8))/((-12)/g). Find p such that x*p**3 + 5/4*p + p**2 + 1/2 = 0.
-2, -1
Suppose 6*y - 4*y + 4 = 0. Let n be ((-1)/y)/(1/14). Suppose 7*u**2 - 12 + 2*u**2 + 5*u - 12*u**2 + n*u = 0. What is u?
2
Let g(w) = 3*w**4 - 2*w**2 + 1. Let j be -4 + 1 - ((-4 - -1) + 1). Let z(s) = -s**4 - s**3 + s - 1. Let h(b) = j*g(b) - z(b). Suppose h(a) = 0. Calculate a.
-1, 0, 1/2, 1
Suppose 0 = 15*d - 16*d + 2. Factor -13*r - 16*r - 6*r + 0 + 10 - 20*r**d.
-5*(r + 2)*(4*r - 1)
Let w(u) be the second derivative of -1/22*u**5 + 0 + 8/11*u**2 - 20*u + 9/22*u**4 - 10/11*u**3. Solve w(t) = 0 for t.
2/5, 1, 4
Let k(f) be the third derivative of 0*f**3 + 12*f