 derivative of s(h). Factor f(g).
-3*g*(g - 2)**2*(g + 1)/4
Determine q so that -3/7*q**3 - 60370944/7 - 665856/7*q - 2448/7*q**2 = 0.
-272
Let g(v) = 6*v**2 + 2*v - 1. Let a(y) = 38*y**2 - 10*y - 258. Let z(i) = a(i) - 6*g(i). Factor z(r).
2*(r - 18)*(r + 7)
Let g(h) = -31*h - 832. Let k be g(-27). Let n(i) be the first derivative of 18 + 4/7*i - 1/7*i**3 - 1/7*i**4 + 2/7*i**2 - 1/35*i**k. Factor n(w).
-(w - 1)*(w + 1)*(w + 2)**2/7
Let g(q) be the first derivative of -23*q**4 - 2032*q**3/3 - 5654*q**2 - 968*q + 5316. Factor g(n).
-4*(n + 11)**2*(23*n + 2)
Let d be ((-2)/(-12))/((338/312)/((-78)/(-24))). Factor -u**2 - 4*u + 0 + d*u**3.
u*(u - 4)*(u + 2)/2
Let u(g) be the second derivative of g**5/60 + 145*g**4/36 + 5183*g**3/18 - 5329*g**2/6 - 606*g. Let u(y) = 0. What is y?
-73, 1
Find w such that 4/5*w**3 + 48*w**2 + 0 + 3456/5*w = 0.
-36, -24, 0
Let x be ((-3)/27)/(((-2600)/(-180))/(-26)). What is r in -x*r**3 - 1/5 - 3/5*r**2 - 3/5*r = 0?
-1
Let h(r) = 4*r**3 - 572*r**2 - 1163*r + 6. Let l(p) = 28*p**3 - 4004*p**2 - 8140*p + 40. Let d(c) = -20*h(c) + 3*l(c). Suppose d(w) = 0. What is w?
-2, 0, 145
Let l(x) be the first derivative of x**3 - 105*x**2/2 + 450*x + 4387. What is a in l(a) = 0?
5, 30
Let f(p) be the third derivative of -p**5/660 - 113*p**4/264 - 37*p**3/11 - 3660*p**2. Let f(o) = 0. What is o?
-111, -2
Let v be (2 - 6)*(-33)/9*(-2)/(-4). Let a(g) be the second derivative of 4/3*g**4 + 0 + v*g**3 - 6*g**2 + g. Solve a(w) = 0.
-3, 1/4
Let y be 60/(-6) + (7 - -7). Let k(t) be the second derivative of 11*t + 0 + 1/42*t**y - 3/7*t**2 - 2/21*t**3. Factor k(l).
2*(l - 3)*(l + 1)/7
Let n(u) be the first derivative of 2*u**5/5 - 27*u**4/2 - 58*u**3/3 + 27*u**2 + 56*u + 828. What is b in n(b) = 0?
-1, 1, 28
Let b be 492/21 - (0 - (18/42)/(-1)). Let q(t) be the second derivative of b*t - 1/60*t**3 + 0 + 1/200*t**5 + 3/20*t**2 - 1/40*t**4. Factor q(x).
(x - 3)*(x - 1)*(x + 1)/10
Let x(u) be the second derivative of u**4/42 - 678*u**3/7 + 85*u. Let x(h) = 0. Calculate h.
0, 2034
Let k(a) be the second derivative of -a**6/840 - 2*a**5/105 - 13*a**4/168 - a**3/7 - 33*a**2/2 + 19*a. Let m(j) be the first derivative of k(j). Factor m(r).
-(r + 1)**2*(r + 6)/7
Let d(u) be the second derivative of -u**6/10 + 3*u**5/5 + 111*u**4 - 448*u**3 - 75264*u**2 - 18*u - 3. Let d(l) = 0. What is l?
-14, 16
Suppose 0 = 10*q + 182 - 192. Let b(o) be the second derivative of -1/66*o**4 + 4*o + q + 2/11*o**2 - 1/33*o**3. What is n in b(n) = 0?
-2, 1
Let c(n) be the third derivative of 4*n**2 - 1 + 0*n**3 - 1/160*n**6 + 5/32*n**4 + 0*n - 1/20*n**5. What is k in c(k) = 0?
-5, 0, 1
Let q be (1 + 84/(-21))*-1. Suppose 21/2*r - 3 + q*r**3 - 21/2*r**2 = 0. Calculate r.
1/2, 1, 2
Let y(k) be the first derivative of -2*k**5/25 - 12*k**4/5 - 44*k**3/5 - 64*k**2/5 - 42*k/5 + 2513. Factor y(q).
-2*(q + 1)**3*(q + 21)/5
Let w(p) = -46*p - 118. Let m be w(5). Let j be m/(-580) + 38/70. Find u, given that -20/7*u + 12/7*u**5 + 40/7*u**3 + j + 0*u**2 - 40/7*u**4 = 0.
-2/3, 1
Let q(f) = 60*f**2 + 69*f - 36. Let g(v) = -60*v**2 - 50*v - 43*v + 37 + 50*v - 28*v. Let i(u) = -6*g(u) - 5*q(u). Determine b so that i(b) = 0.
-7/4, 2/5
Suppose -71 - 153 = 2*d - r, d - r + 114 = 0. Let o be (-30)/d + 54/165. Solve -9/5*n**2 + 0 + o*n + 9/5*n**3 - 3/5*n**4 = 0 for n.
0, 1
Let v(s) be the first derivative of -162*s**5/65 - 765*s**4/26 + 964*s**3/39 + 324*s**2/13 + 80*s/13 + 1167. Suppose v(u) = 0. What is u?
-10, -2/9, 1
Let p(i) be the first derivative of i**4/12 + 22*i**3/9 - 131*i**2/6 + 36*i + 199. Suppose p(v) = 0. Calculate v.
-27, 1, 4
Let i(j) be the third derivative of j**8/112 - 11*j**7/70 + 6*j**6/5 - 26*j**5/5 + 14*j**4 - 24*j**3 - 23*j**2 - 5. What is k in i(k) = 0?
2, 3
Let h = 145 + -107. Suppose 0 = 36*f - h*f + 160. Solve 37 - 5*n**3 + 30 + 5*n**2 + f*n + 33 = 0.
-2, 5
Suppose -11 = -2*g - 5*h, 3*h + 4 = -3*g + 16. Let y(k) be the first derivative of 0*k - k**g - 15 + 9/2*k**2. Factor y(r).
-3*r*(r - 3)
Let t(j) = 2*j**3 - 4046*j**2 + 4036*j - 4. Let d(o) = 14*o**3 - 28323*o**2 + 28255*o - 27. Let s(g) = -8*d(g) + 54*t(g). Factor s(v).
-4*v*(v - 2024)*(v - 1)
Solve -3*b**2 - 1239*b + 1666 - 1469 + 2293 = 0 for b.
-415, 2
Let l(f) be the third derivative of 0*f**3 - 1/450*f**5 - f**2 + 0 - 5*f + 7/180*f**4. Factor l(n).
-2*n*(n - 7)/15
Factor 85/4*t**2 - 18*t + 1/4*t**4 - 9/2*t**3 - 44.
(t - 11)*(t - 4)**2*(t + 1)/4
Factor 75/8 + 1/8*r**2 - 5/2*r.
(r - 15)*(r - 5)/8
Suppose -w - 2*u + 752 = 0, 18*w - 2*u - 3712 = 13*w. Factor 640*g + 45 - 12 + 67 + w*g**2 + 28*g**4 + 260*g**3 + 28.
4*(g + 1)*(g + 4)**2*(7*g + 2)
Let x(g) = g**4 - 5*g**3 - 11*g**2 - g + 6. Let z(b) = 6*b**3 + 12*b**2 + 3*b - 6. Let c(r) = 3*x(r) + 2*z(r). Factor c(v).
3*(v - 2)*(v - 1)*(v + 1)**2
Let p be (-2 - 20/(-8))*35*37/31080*150. Suppose p + 1/8*u**3 + 15/8*u - 9/8*u**2 = 0. Calculate u.
-1, 5
Let s(f) be the second derivative of -f**4/54 + 25*f**3/27 - 22*f**2/3 + 1714*f. Let s(t) = 0. Calculate t.
3, 22
Let f(z) = 2*z + 28. Let l be f(-2). Factor -l*r + 23*r**2 + 24 + 12*r**3 - 11*r**2 - 4*r**4 + 17*r - 37*r.
-4*(r - 3)*(r - 1)**2*(r + 2)
Solve -17712*y**2 + 971*y**3 - 4321*y**4 + 80256*y - 137*y**3 - 21504 + 4342*y**4 = 0.
-56, 2/7, 8
Let i = 2991 + -2991. Let m(u) be the first derivative of -15/4*u**4 + 19 - 10/3*u**3 - u**5 + 0*u**2 + i*u. Find p such that m(p) = 0.
-2, -1, 0
Suppose 3*p - 2*k - 4 = 0, -4*p + 1228*k - 1232*k = -32. Solve 16/3*d**2 - 10/3*d + 4*d**3 - 4/3*d**4 - p - 2/3*d**5 = 0 for d.
-3, -1, 1, 2
Let b(w) be the third derivative of 144*w**2 + 1/540*w**6 + 0*w**3 + 5/54*w**5 + 23/54*w**4 + 0 + 0*w. Determine s, given that b(s) = 0.
-23, -2, 0
Let u(r) be the first derivative of -12/5*r**3 - 42 - 27/5*r**2 + 3/10*r**4 + 3/25*r**5 + 81/5*r. Solve u(y) = 0 for y.
-3, 1, 3
Let h(g) be the first derivative of g**5/70 + g**4/14 + 206*g + 103. Let k(m) be the first derivative of h(m). Factor k(w).
2*w**2*(w + 3)/7
Let d be (16/(-36))/(2668/(-12006)). Let 1/2*y**5 - d*y**3 + 0*y + 0*y**2 - 3/2*y**4 + 0 = 0. Calculate y.
-1, 0, 4
Let g be (-60)/40 - 9/(-6). Suppose g = -620*k + 628*k - 24. Factor 22/7*t + 2*t**k + 32/7*t**2 + 4/7.
2*(t + 1)**2*(7*t + 2)/7
What is q in 112/17*q + 72/17*q**2 - 2/17*q**5 - 20/17*q**3 - 18/17*q**4 + 0 = 0?
-7, -2, 0, 2
Suppose 3*b**3 + 0 - 51/2*b**2 - 27/2*b = 0. What is b?
-1/2, 0, 9
Let u be ((-24)/(-6) - -7) + -11. Let t(v) be the third derivative of 0*v + 5/3*v**4 - 50/3*v**3 + u - v**2 - 1/15*v**5. Suppose t(l) = 0. What is l?
5
Let b(h) be the first derivative of 3538161*h**5/25 + 554895*h**4/4 - 256222*h**3/5 - 2494*h**2/5 - 8*h/5 - 1835. Let b(m) = 0. What is m?
-1, -2/627, 2/9
Let v(c) be the first derivative of c**4/18 + 74*c**3/27 + 34*c**2/9 - 16*c - 1354. Factor v(u).
2*(u - 1)*(u + 2)*(u + 36)/9
Let x(i) = 30*i - 107. Let n be x(4). Factor 50*t**4 - 76*t**3 - 13 + n - 54*t**4.
-4*t**3*(t + 19)
Factor 701 + 5*v**2 + 0*v + 3*v + 2*v - 851.
5*(v - 5)*(v + 6)
Suppose 4*o = -c + 7, -202*c = -3*o - 203*c + 3. Factor -9/2 - 11*g**2 + 12*g - 1/2*g**4 + o*g**3.
-(g - 3)**2*(g - 1)**2/2
Let j be (2 - 8) + 8/1. Let m be 15/(900/148) + (70/(-15))/7. Factor -m*v + 0 - 3/5*v**3 + 12/5*v**j.
-3*v*(v - 3)*(v - 1)/5
Let v(r) be the second derivative of 3*r**5/80 + 583*r**4/24 + 28421*r**3/6 + 9409*r**2 - 1088*r. Suppose v(c) = 0. Calculate c.
-194, -2/3
Let n be ((-422604)/(-25272))/(14/9). Determine j so that -1/4*j**4 + 31/4*j**2 - 5/4*j**3 + 9/2 - n*j = 0.
-9, 1, 2
Let r be 2/(-4)*(9 - 13). Factor -36*n - 134*n**2 + 274*n**r + 16 - 132*n**2.
4*(n - 4)*(2*n - 1)
Suppose 403*m - 408*m = 3*y - 25, y - 3 = m. Determine j so that -2/5*j**4 - 16/5*j**3 + 16/5*j - 22/5*j**m + 24/5 = 0.
-6, -2, -1, 1
Let m(g) = g**3 + 15*g**2 + 37*g + 12. Let n = 1471 - 1483. Let x be m(n). Suppose -2/13*d**2 + x*d**3 + 0 + 2/13*d**4 + 0*d = 0. What is d?
-1, 0, 1
Let v = -9176 - -9179. Let m(f) be the third derivative of 0*f - 10*f**2 + 1/48*f**4 - 1/6*f**v + 0 + 1/120*f**5. Solve m(t) = 0.
-2, 1
Suppose w = -1 - 1. Let i(l) be the second derivative of -l**4/12 - l**3/3 - 2*l**2 - 3*l - 23. Let n(q) = 1. Let v(z) = w*i(z) - 6*n(z). Factor v(s).
2*(s + 1)**2
Let o be 6/(-21) + -21 + 1490/70. Factor o - 2*q + 2/5*q**3 + 8/5*q**2.
2*q*(q - 1)*(q + 5)/5
Let x be (-15 - -23) + 1/(