 2*h**2 + 4*h + a*h**3.
4*h*(h - 1)**2
Let y(v) be the second derivative of -v**7/4 - 17*v**6/20 - 3*v**5/20 + v**4 + 5*v + 17. Let y(g) = 0. What is g?
-2, -1, 0, 4/7
Let o(u) = -2*u**3 - 62*u**2 - 42*u + 8. Let v be o(-30). Let y = v + 1065/2. Factor t - y*t**2 + 0.
-t*(t - 2)/2
Suppose 324 - 188*w**2 - 8*w**4 - 1/3*w**5 - 194/3*w**3 - 63*w = 0. Calculate w.
-9, -4, -3, 1
Let o(m) = 4*m**5 + 7*m**4 - 63*m**3 - 42*m**2 + 216*m. Let f(q) = 4*q**5 + 8*q**4 - 64*q**3 - 44*q**2 + 216*q. Let x(g) = -3*f(g) + 4*o(g). Factor x(n).
4*n*(n - 3)*(n - 2)*(n + 3)**2
Determine o, given that 52*o - 126*o**2 - 168 + 139*o**2 - 4*o**3 + 192*o - 85*o**2 = 0.
-21, 1, 2
Let b(c) = c + 12. Let j be b(-7). Suppose -z = 2*h - 53, -86 = -j*h - 3*z + 48. Solve -9*y**2 - 3*y**4 + y**3 + 8*y**3 + h*y - 22*y = 0.
0, 1
Let s(n) be the second derivative of -n**7/525 - n**6/300 + n**5/75 - 35*n**2/2 - 102*n. Let u(x) be the first derivative of s(x). Determine c so that u(c) = 0.
-2, 0, 1
Let w be (-6)/40*-2 + -17 + 1939*(-17)/(-340). Factor -95/2*t - 4*t**4 - w*t**2 - 25/4 + 38*t**3.
-(t - 5)**2*(4*t + 1)**2/4
Let u(c) be the third derivative of -c**5/30 - 131*c**4/2 - 51483*c**3 - c**2 - 108*c + 8. Factor u(p).
-2*(p + 393)**2
Solve -1422*r - 800*r**2 + 43*r**3 + 50*r**4 + 60*r**4 - 106*r**4 - 306*r - 119*r**3 = 0 for r.
-4, 0, 27
Factor 104/3*o + 128/3 + 22/3*o**2 + 1/3*o**3.
(o + 2)*(o + 4)*(o + 16)/3
Let c(k) be the first derivative of 4*k**3/3 - k**2/2 + 61. Let b(x) = -x**2. Let w(t) = 15*b(t) + 3*c(t). Suppose w(d) = 0. What is d?
-1, 0
Factor 13*x**2 - 3*x**2 - 106*x + 115*x - 408 - 511*x.
2*(x - 51)*(5*x + 4)
Let f be (-654)/(-26) - 50/325. Let t(p) be the third derivative of -7/270*p**5 + 0*p + 16/27*p**3 + 0 - f*p**2 + 1/540*p**6 + 2/27*p**4. Factor t(u).
2*(u - 4)**2*(u + 1)/9
Let c(n) be the third derivative of 70*n**2 - 8/105*n**7 - 1/3*n**4 + 0*n - 1/3*n**5 + 0*n**3 + 0 + 11/30*n**6. Find g such that c(g) = 0.
-1/4, 0, 1, 2
Let x = -3148 - -34530/11. Let q = 970/99 + x. What is d in 16/9*d**3 + 20/9*d**2 + 4/9*d**4 + 0 + q*d = 0?
-2, -1, 0
Suppose -2*g = 13*i - 9*i - 7460, g + 7454 = 4*i. Let u = -7435/4 + i. Find z, given that -9/4 + 9/4*z**3 + u*z**2 - 21/4*z = 0.
-3, -1/3, 1
Factor 186 - 69*v - 3*v**2 - 1986 + 124*v + 194*v.
-3*(v - 75)*(v - 8)
Let j(o) be the third derivative of -3 + 1/4*o**3 + 1/10*o**5 - 1/80*o**6 + 1/448*o**8 - 7/32*o**4 - 13*o**2 + 0*o - 1/140*o**7. Let j(k) = 0. What is k?
-2, 1
What is x in 34/9 + 1000/9*x**4 + 194/9*x - 190/3*x**2 - 3250/9*x**3 = 0?
-1/5, 1/4, 17/5
Let k(n) = -4*n**3 - 42*n**2 + 376*n + 99. Let a(b) = 4*b**3 + 86*b**2 - 752*b - 199. Let h(c) = -3*a(c) - 7*k(c). Determine d so that h(d) = 0.
-6, -1/4, 4
Let o be -1 + 2 - 2/(-2)*2. Factor 4*h**2 + 20*h + 18*h**3 - 41*h**3 + 28*h + 19*h**o.
-4*h*(h - 4)*(h + 3)
Suppose 2*y = -1 + 5. Suppose -3*w + 5*w = 4*q + 6, y*w = 2*q + 8. Let -a + 6*a**2 + 0*a + 3*a + 6*a**3 - 3*a**5 - w*a - 3 - 3*a**4 = 0. What is a?
-1, 1
Let f be (5 + -1)*(-1)/2. Let n be f/(-7) - 80/(-14). Solve 0*v + 0*v**2 + 9*v**2 - 3*v**4 - n*v = 0.
-2, 0, 1
Let t(b) be the third derivative of 7*b**2 + 5/84*b**4 + 0*b + 2/7*b**3 - 1/420*b**6 - 1/105*b**5 + 10. Find q such that t(q) = 0.
-3, -1, 2
Let h = 26 - 6. Let i = 24310/399 - 3670/133. Factor h + i*g + 10/3*g**3 + 55/3*g**2.
5*(g + 2)**2*(2*g + 3)/3
Let s be 2/(-10) + 62/10. Suppose 3*d - s*d - 2 = -a, 0 = -3*a - d + 6. Factor -4*b**a + 4*b + b - 9*b + 4*b**3 + 4.
4*(b - 1)**2*(b + 1)
Let h = -28032 - -28034. Factor -23/4 + 1/4*a**h - 11/2*a.
(a - 23)*(a + 1)/4
Let s(t) be the first derivative of 0*t - 60 + 1/15*t**6 + 7/2*t**4 - 22/25*t**5 - 10/3*t**3 + 0*t**2. Factor s(q).
2*q**2*(q - 5)**2*(q - 1)/5
Let p(t) = 3*t**2 - 3*t. Let z(b) = -23*b**2 - 19*b - 240. Let j(i) = -40*p(i) - 5*z(i). Factor j(v).
-5*(v - 48)*(v + 5)
Let u be (56563/83356)/((-18)/(-8) - (1 + 1)). Solve -9/7*s**4 - 6/7*s - 1/7*s**5 - 3*s**3 + 0 - u*s**2 = 0.
-6, -1, 0
Factor -39/2 - 12*b**2 + 315/2*b.
-3*(b - 13)*(8*b - 1)/2
Let u(r) be the first derivative of r**6/51 - 178*r**5/85 + 1160*r**4/17 - 9600*r**3/17 - 3444. Factor u(f).
2*f**2*(f - 40)**2*(f - 9)/17
Let r(o) = 5*o**2 - 56*o + 16. Let m(n) = -2*n**2 + 19*n - 5. Let f(j) = -8*m(j) - 3*r(j). Let v(u) = u - 2. Let a(c) = f(c) - 4*v(c). Factor a(l).
l*(l + 12)
Let 0 - 9/5*b**3 + 12/5*b - 4*b**2 + 2/5*b**4 = 0. What is b?
-2, 0, 1/2, 6
Let w(d) be the second derivative of 39*d**5/140 - 1285*d**4/84 - 232*d**3/7 - 34*d**2/7 + 9572*d. Factor w(k).
(k - 34)*(k + 1)*(39*k + 2)/7
Let o(a) be the second derivative of -2*a**6/15 + 1024*a**5/5 - 341*a**4 + 4196*a. Factor o(b).
-4*b**2*(b - 1023)*(b - 1)
Let m(k) = -16*k + 1411. Let y be m(88). Suppose -2*b = -4*f - 20, -5*b - f - 2 = 2*f. Suppose 0*v - 14/9*v**4 + 4/9*v**b + 10/9*v**y + 0 = 0. What is v?
-2/7, 0, 1
Factor -58*y**2 - 4040*y - 56*y**2 + 7999*y - 4076*y + 3*y**3.
3*y*(y - 39)*(y + 1)
Let f(c) be the second derivative of c**7/84 - 7*c**6/10 + 41*c**5/5 - 41*c**4/4 - 329*c**3/12 + 72*c**2 - 4*c - 78. Solve f(d) = 0 for d.
-1, 1, 9, 32
Let q be (-36 + -2)/(1/((-5)/10)). Factor 0*u**2 + 49*u + q*u + 89 - 1439 - u**2 + 194.
-(u - 34)**2
Let j(d) be the second derivative of 7/12*d**4 + 6 + 0*d**2 + 1/20*d**5 + 0*d**3 - 5*d. Factor j(n).
n**2*(n + 7)
Suppose 0*r - 144 = -18*r. Let 59*x - 35*x**3 - 7*x**5 + 2*x**5 - 17*x**4 + 5*x**2 - 19*x - r*x**4 + 20 = 0. What is x?
-2, -1, 1
Let b(n) be the first derivative of n**3/3 + 210*n**2 - 918. Let b(m) = 0. Calculate m.
-420, 0
Let z be (-1095)/1314*90/(-25). Let 1587/7*c**2 + 3/7*c**4 + 0 - 138/7*c**z + 0*c = 0. What is c?
0, 23
Let h(v) = 3*v**2 - 26*v + 18. Let s be h(8). Suppose 56*o + s = 55*o, o = -b. Factor 2/7*w**b + 10/7*w + 8/7.
2*(w + 1)*(w + 4)/7
Let n(c) be the third derivative of 0*c - 41/48*c**4 + 2 + 1/72*c**5 - 37*c**2 - 25/18*c**3. Determine v so that n(v) = 0.
-2/5, 25
Suppose 0 = -o + 5*r + 262, 3*r - 2*r - 232 = -o. Let y be 105/21 - (11 + -8). Factor -237 - 10*l**y + 5*l**3 + o.
5*l**2*(l - 2)
Let j(z) = -53 - 20*z**2 + 7*z**2 + 24*z + 42. Let u(p) = -7*p**2 + 12*p - 5. Let d(t) = -3*j(t) + 5*u(t). Factor d(f).
4*(f - 2)*(f - 1)
Suppose 3*z - 32 = -47*y + 43*y, 4*z - 4*y = -4. Factor 5/7*k**3 - 6/7*k**2 + 8/7 - 4/7*k - 1/7*k**z.
-(k - 2)**3*(k + 1)/7
Let h(x) = 47*x**2 - 102*x + 20. Let n be h(2). Let l = -45630/11 + 4154. Factor 32/11 + 16/11*r**3 + l*r + 2/11*r**n + 48/11*r**2.
2*(r + 2)**4/11
Let u = 246 + -259. Let o(k) = -k**2 - 13*k - 12. Let w(x) = -2*x**2 - 27*x - 25. Let r(t) = u*o(t) + 6*w(t). Factor r(y).
(y + 1)*(y + 6)
Suppose -5*z + 4*m = -9*z + 440, m = z - 120. Find u such that -19*u**2 - 21*u**2 - z*u**3 + 120*u**3 = 0.
0, 8
Let x(j) be the first derivative of 5*j - 1/4*j**4 + 0*j**2 + 3/2*j**3 + 3. Let k(z) be the first derivative of x(z). Determine o, given that k(o) = 0.
0, 3
Factor 492/7*f**2 - 4/7*f**3 - 492/7 + 4/7*f.
-4*(f - 123)*(f - 1)*(f + 1)/7
Determine y, given that 0 + 2/5*y**3 + 96/5*y + 32/5*y**2 = 0.
-12, -4, 0
Let q = 9669 - 9661. Let a(s) be the first derivative of q*s**3 + 4*s - 8*s**2 + 4/5*s**5 - 4*s**4 + 5. Suppose a(m) = 0. What is m?
1
What is c in 48/7 + 146/7*c + 111/7*c**2 = 0?
-2/3, -24/37
Let z(p) = p**2 + 3*p - 68. Let r be (33/5)/1 + (-24)/(-60). Let k be z(r). Factor -2/5*l**k + 4/5*l + 6/5.
-2*(l - 3)*(l + 1)/5
Let x(g) be the third derivative of 1/840*g**7 - 1/48*g**4 + 0*g + 1/240*g**6 + 0 + 7*g**2 + 1/8*g**3 - 1/60*g**5. Factor x(s).
(s - 1)**2*(s + 1)*(s + 3)/4
Let a(q) = 3*q**2 - q. Let g be a(1). Let p be 12 + -1 - ((66 - 48) + -9). Determine n so that 0*n**g + 12*n - 7*n**3 + n**5 - 4*n**p + 8 - n**2 + 3*n**2 = 0.
-2, -1, 2
What is p in 0*p**4 + 200*p**3 + 7*p**4 + 1500*p - 540 + 44*p**2 - 160*p**2 + 8*p**4 - 1059*p**2 = 0?
-18, 2/3, 1, 3
Let z(a) = -7*a**2 - 35*a - 67. Let o(q) = -10*q + 6. Let u be o(-1). Let v(r) = -36*r**2 - 176*r - 336. Let l(j) = u*z(j) - 3*v(j). Let l(k) = 0. What is k?
-4
Let k(j) be the third derivative of -7/6*j**3 + 0 + 1/900*j**6 - 1/300*j**5 - 4*j**2 + 0*j + 0*j**4. Let i(x) be the first derivative of k(x). Factor i(d).
2*d*(d - 1)/5
Determine q so that 80/7*q**4 + 4/7*q**3 + 0*q**2 + 0*q + 400/7*q**5 + 0 = 0.
-1/10, 0
Suppose -4*k + 76 = -2*x, 0*x - 164 = 4*x - 5*k. Let l = 49 + x. Determine c so that 2*c**4 + 0*c*