90 - 11*h**4/24 + 9*h**2. Let k(o) be the second derivative of w(o). Factor k(i).
4*i*(i + 1)*(i + 2)
Let p(f) be the third derivative of 13*f**2 - 1/96*f**6 + 0*f**3 - 1/24*f**4 - 1/15*f**5 + 0*f + 0 + 1/120*f**7. What is d in p(d) = 0?
-1, -2/7, 0, 2
Suppose r = -1, -4*r + 26 = 3*f + 2*f. Let j(x) be the second derivative of 7*x + 5/12*x**4 + 1/20*x**5 - x**2 - 1/10*x**f - 1/6*x**3 + 0. Factor j(u).
-(u - 1)**2*(u + 1)*(3*u + 2)
Factor -2 - 3/5*h + 1/5*h**2.
(h - 5)*(h + 2)/5
Suppose -59*h + 61*h = 6. Let a = 13 - 9. Find m such that 9*m**3 - 4*m**2 - 6*m + 4*m**a - h*m**5 - m**4 + m**2 = 0.
-1, 0, 1, 2
Let z(j) = 2*j**2 + 3*j - 1. Let h be z(-3). Factor 15*g + h*g**2 + 6*g**2 + 10 - 9*g**2.
5*(g + 1)*(g + 2)
Suppose 4*w - 16 = 2*k, 2*k + 5*w - 21 = 8. Factor -39*u + 49*u**k + 11*u**2 - 104 + 110.
3*(4*u - 1)*(5*u - 2)
Factor 0 - 4/5*n - 2/5*n**2 + 2/5*n**3.
2*n*(n - 2)*(n + 1)/5
Let p(n) be the third derivative of -n**7/105 + n**6/30 + 7*n**5/30 + n**4/3 - 100*n**2. Factor p(j).
-2*j*(j - 4)*(j + 1)**2
Let h = 0 - -33. Suppose 3*v - h = 39. Solve v - 6*i - 4*i**3 + 7*i**3 - 6*i - 6*i**2 = 0 for i.
-2, 2
Let w be (2/6)/(((-22)/12)/(-11)). Suppose 0 = w*y + y - 2*a + 4, -y + 2*a = 8. Factor 16/7*z**y + 6/7*z**3 + 6/7*z - 4/7.
2*(z + 1)*(z + 2)*(3*z - 1)/7
Let g(f) be the second derivative of 243*f**4/10 + 18*f**3/5 + f**2/5 + 2*f - 9. Factor g(u).
2*(27*u + 1)**2/5
Suppose q + 3*c + 0*c - 18 = 0, 0 = -3*q + c + 4. Factor -7*n**4 - 2*n**5 + 4*n**5 + n**2 + 12*n**4 + 4*n**q.
n**2*(n + 1)**2*(2*n + 1)
Let d be (3/2)/1*(-1 - 3). Let k be (9/d)/((-54)/32). Factor -2/3*a**2 - 8/9*a + 2/3 + k*a**3.
2*(a - 1)*(a + 1)*(4*a - 3)/9
Let q(j) be the second derivative of j**7/189 - j**5/90 - 25*j - 8. Find i such that q(i) = 0.
-1, 0, 1
Determine q so that 20*q - 350 - 2/7*q**2 = 0.
35
Let f = 225 + -223. Let j(s) be the second derivative of 11/84*s**4 - 1/21*s**3 - 1/14*s**f + 0 + 3/35*s**5 + s. Factor j(p).
(p + 1)*(3*p - 1)*(4*p + 1)/7
Let x be (-87)/(-15) + (-1)/(-5). Let k be 16/x*6/4. Solve -2*f**2 + 5*f**2 - 27*f**4 + 24*f**k = 0.
-1, 0, 1
Solve 75/2*j**2 + 1/2*j**3 + 1443/2*j + 1369/2 = 0.
-37, -1
Factor 88*l - 4/7*l**2 - 3388.
-4*(l - 77)**2/7
Factor 3*y**2 + 10*y - 175 - 4*y - 2*y**3 + 0*y**3 - 51*y + 3*y**3.
(y - 7)*(y + 5)**2
Let j = -55/1247 - 7/43. Let o = 28/145 - j. What is h in -2/5*h**2 - o*h**3 + 4/5*h + 0 = 0?
-2, 0, 1
Suppose 0 = -4*h + 50 - 38. Let u(t) be the third derivative of 0*t - 1/21*t**h - 1/84*t**4 + 0 + t**2 + 1/420*t**6 + 1/210*t**5. Solve u(i) = 0 for i.
-1, 1
Let f(o) be the second derivative of -o**6/120 - o**5/30 + o**4/24 + o**3/3 + 11*o**2 + 19*o. Let s(w) be the first derivative of f(w). Let s(q) = 0. What is q?
-2, -1, 1
Let u = 43/14 + -17/42. Factor -8/3 - u*l - 2/3*l**2.
-2*(l + 2)**2/3
Suppose -3*l = -2*v - 0*v - 11, 24 = 2*v + 4*l. Let z be -1*2 - (-6 + 0). Factor -5*d**v + d**2 + z*d**2 + d**2.
d**2
Suppose -5*u - 8 = -23. Suppose -2*w - 1 = -31. Solve 6 - 9*q**4 + 8*q + u*q**2 + 8*q - q - w*q**3 = 0.
-1, -2/3, 1
Suppose -4*g = 69 - 197. Let z be (1/(-4))/(-5 + 156/g). Factor 2/3*n + 1/3 + 1/3*n**z.
(n + 1)**2/3
Let i = 7 + 5. Suppose -3*u = 3*f, f = 5*u + 3*f - 6. Factor j**5 - u*j**5 + 3*j**3 - 2*j**2 - i*j**4 + 12*j**4.
-j**2*(j - 1)**2*(j + 2)
Let c(u) be the first derivative of -u**9/13608 - u**8/945 - 4*u**7/945 + 35*u**3/3 - 9. Let n(g) be the third derivative of c(g). Factor n(l).
-2*l**3*(l + 4)**2/9
Let p = -5 + 8. Let z be 112/28 + (0 - 1). What is l in -3 - 6*l + 7*l**z - 2*l**p + l**3 + 3*l**4 = 0?
-1, 1
Let p = 33727 + -33715. Factor p - 3*h - 3/2*h**2.
-3*(h - 2)*(h + 4)/2
Factor 270 + 3/2*k**3 + 144*k + 51/2*k**2.
3*(k + 5)*(k + 6)**2/2
Factor 0*y - 1/8*y**4 + 0*y**2 + 0 + 1/2*y**3.
-y**3*(y - 4)/8
Let d(q) = -q**3 + q**2 + 1. Let i = -77 + 69. Let t(c) = 4*c**4 + 8*c**3 - 20*c**2 + 8*c - 8. Let n(m) = i*d(m) - t(m). Solve n(s) = 0.
-2, 0, 1
Let c(d) be the second derivative of d**4/4 + 14*d**3 + 81*d**2/2 + 70*d. Factor c(i).
3*(i + 1)*(i + 27)
Let b(g) = -g + 13. Let j(c) = c**2 + 8*c - 12. Let w be j(-10). Let q be b(w). Determine i, given that 2*i**4 - 4*i**4 + 0*i**4 + 2*i**q = 0.
0, 1
Let r be 5/(-12) + (22/4)/11. Let t(j) be the third derivative of r*j**5 - 10*j**2 + 0*j + 5/2*j**3 - 5/6*j**4 + 0. Factor t(x).
5*(x - 3)*(x - 1)
Suppose -216/5 + 6/5*t**5 - 72/5*t + 366/5*t**2 + 58*t**3 + 74/5*t**4 = 0. What is t?
-6, -3, -1, 2/3
Let o(d) be the first derivative of d**4/8 + d**3 + 11*d**2/4 + 3*d + 63. Factor o(i).
(i + 1)*(i + 2)*(i + 3)/2
Let h(b) be the second derivative of -26*b + 8/9*b**3 + 1/90*b**5 - 16/9*b**2 + 0 - 1/6*b**4. Suppose h(j) = 0. What is j?
1, 4
Let u(b) be the third derivative of 1/600*b**6 - 1/60*b**4 + 0*b + 0*b**3 + 1/300*b**5 + 0 + 11*b**2. Suppose u(r) = 0. Calculate r.
-2, 0, 1
Let x be 9/12 + 0 - (-415)/(-2). Let t = 208 + x. Factor 0 - 1/2*w**5 - 7/4*w**4 - t*w**2 - 9/4*w**3 - 1/4*w.
-w*(w + 1)**3*(2*w + 1)/4
Let c(j) = -j**3 - 12*j**2 + 30*j + 31. Let l(f) = 3*f + 4. Let p be l(-6). Let a be c(p). Factor -4/3*m + 1/3*m**a - 1/3*m**2 + 4/3.
(m - 2)*(m - 1)*(m + 2)/3
Let a(f) be the third derivative of f**5/140 + 19*f**4/7 + 2888*f**3/7 + f**2 - 9. Let a(b) = 0. What is b?
-76
Let d = -43 + 50. Suppose -d*k + 6*k = -15*k. Factor 6*u**2 + 10/3*u**4 + k + 8*u**3 + 4/3*u.
2*u*(u + 1)**2*(5*u + 2)/3
Let f(u) be the third derivative of -u**7/105 - u**6/30 - u**5/30 + 3*u**2 - 6*u. Factor f(v).
-2*v**2*(v + 1)**2
Let g be 18/207 + 172/138. Let r(f) be the second derivative of -4*f - g*f**3 + 0 - 4*f**2 + 1/2*f**4 - 1/15*f**6 + 1/5*f**5. Let r(h) = 0. What is h?
-1, 2
Let f be 1 - (3/(-4) + 2). Let q = 5/4 - f. Determine p so that -1 + q*p - 1/2*p**2 = 0.
1, 2
Let c(z) be the first derivative of z**6/6 - z**5/5 - z**4 + 4*z**3/3 + 114. Let c(n) = 0. Calculate n.
-2, 0, 1, 2
Let u(s) = -s**3 + 8*s + 5. Let j be u(3). Factor 21/2*k**3 + 3*k**j + 0*k + 0.
3*k**2*(7*k + 2)/2
Let w = -2/99 + 301/198. Factor -1/2*s - 3/2*s**3 - w*s**2 + 0 - 1/2*s**4.
-s*(s + 1)**3/2
Let j be ((-4)/(-8))/(1/12). Let 0*y + 4*y**3 + j*y**2 + y - 3*y**2 - 2*y = 0. Calculate y.
-1, 0, 1/4
Let v = -2/9211 - -9223/55266. Factor 1/3*k - 1/2*k**2 + v.
-(k - 1)*(3*k + 1)/6
Let u(b) be the first derivative of -b**4/2 - 4*b**3/3 - b**2 - 40. Determine q so that u(q) = 0.
-1, 0
Let r(m) = m**3 + m + 1. Let y(x) = -4*x**3 + 894*x**2 + 266407*x + 26463587. Let t(h) = -5*r(h) - y(h). Factor t(w).
-(w + 298)**3
Let i(u) be the third derivative of -u**5/60 - u**3/6 - 13*u**2 + 2. Let l(c) = c**3 + 3*c**2 - 6*c - 2. Let z(r) = -6*i(r) + 3*l(r). Factor z(k).
3*k*(k - 1)*(k + 6)
What is l in -25*l + 63/5 + 1/5*l**3 + 61/5*l**2 = 0?
-63, 1
Let q be (-1090)/(-981)*6/10. Factor 0 - 2/9*l**2 - 2/3*l + q*l**3 + 2/9*l**4.
2*l*(l - 1)*(l + 1)*(l + 3)/9
Let u(f) = 10*f**3 + 2*f**2 - f - 1. Let a be u(1). Suppose 5*b - 16 = -8*i + a*i, -3*i = -2*b + 13. Factor 0*y - 1/4*y**4 + 0 - 1/2*y**3 - 1/4*y**b.
-y**2*(y + 1)**2/4
Let u = 42908 - 42906. Factor 11/2 - 6*d + 1/2*d**u.
(d - 11)*(d - 1)/2
Let l = 18 - 13. Let q = 5 - 5. What is a in 15*a + q*a**2 - 6*a - l - 1 - 3*a**2 = 0?
1, 2
Let u(h) be the third derivative of -h**7/210 - 7*h**6/60 - 11*h**5/15 - 5*h**4/3 - 124*h**2. What is b in u(b) = 0?
-10, -2, 0
Let w(m) be the first derivative of -25*m**6/24 - 2*m**5 - 3*m**4/8 + 2*m**3/3 - m**2/8 + 121. Solve w(i) = 0 for i.
-1, 0, 1/5
What is q in 508*q - 9 + q**2 - 3*q**2 - 514*q + 5 = 0?
-2, -1
Suppose 0 = -2*w - 3 + 9. Suppose -f - o + w = f, -5*f + o = 3. Determine j so that -8/3*j**3 + f*j**4 + 0 + 0*j**2 + 2/3*j**5 + 0*j = 0.
-2, 0, 2
Let k(q) be the second derivative of -q**4/48 + 5*q**3/6 + 12*q**2 - 30*q. Factor k(j).
-(j - 24)*(j + 4)/4
Let h(q) be the first derivative of q**8/3192 - q**7/1995 - 3*q**2/2 + 9. Let z(p) be the second derivative of h(p). Determine g so that z(g) = 0.
0, 1
Find h such that 59222 + 5*h**3 + 115*h**2 - 120*h - 59222 = 0.
-24, 0, 1
Factor -24*q + 72/7*q**2 + 128/7 - 10/7*q**3.
-2*(q - 2)**2*(5*q - 16)/7
Factor i**3 - 20 + 97*i - 70*i - i**2 - 43*i.
(i - 5)*(i + 2)**2
Suppose 107 - 31 = 19*d. Let z(j) be the first derivative of -1/21*j**3 - 2/7*j**2 + d - 4/7*j. Determine m so that z(m) = 0.
-2
Let f be ((-334)/15)/((-168)/10). Let a = 1/126 + f. Find d such that a*d - 4/3*d**3 - 2*