, 7
Let o(l) = -24*l**4 + 14*l**3 - 14*l**2 - 40*l - 12. Let c(g) = -29*g**4 + 14*g**3 - 12*g**2 - 39*g - 12. Let i(x) = 6*c(x) - 7*o(x). Solve i(d) = 0.
-3, -1, -1/3, 2
Let q(s) be the third derivative of s**7/1260 + s**6/90 + s**5/15 - 23*s**4/4 - 87*s**2. Let l(u) be the second derivative of q(u). Factor l(d).
2*(d + 2)**2
Let x(p) be the first derivative of 323 - 1/4*p**4 + 28*p + 25/2*p**2 - 4/3*p**3. Factor x(v).
-(v - 4)*(v + 1)*(v + 7)
Let o = 375665442/301 + -1248056. Let v = o + -10/43. What is t in 12/7*t**2 - v + 3/7*t - 3/7*t**3 = 0?
-1, 1, 4
Let j(z) be the first derivative of -z**4/102 + 5*z**3/51 + 6*z**2/17 + 29*z + 206. Let l(i) be the first derivative of j(i). Suppose l(y) = 0. What is y?
-1, 6
Suppose -5*b = -2*c - 9*b - 10, 5*b = 3*c - 40. Factor -n**4 - 16*n**5 + n**2 + n**3 + 25*n**5 - 10*n**c.
-n**2*(n - 1)*(n + 1)**2
Let d(l) be the first derivative of -1/102*l**4 + 30*l - 9 - 9/17*l**2 - 2/17*l**3. Let t(h) be the first derivative of d(h). Let t(f) = 0. What is f?
-3
Let b be 11132/2024 - (-1)/(-2). Determine f so that -5/2*f**4 + 15/2*f**3 + 0 - b*f**2 + 0*f = 0.
0, 1, 2
Let c = 991726 + -991726. Determine x, given that c - 3/2*x**2 + 33*x = 0.
0, 22
Suppose 24*l + q - 8 = 22*l, 2*l = q. Factor -5*o**l + 4 + 4*o**2 - 12*o + 9*o + 6*o.
-(o - 4)*(o + 1)
Let o(x) be the first derivative of -1/2*x**4 - 361*x**2 - 165 + 76/3*x**3 + 0*x. Solve o(l) = 0 for l.
0, 19
Suppose 3*q + 3*x = 2985, 5*q = 3*x + 2*x + 4975. Find h, given that 214*h**2 + q*h**3 - 136*h**2 + 397*h**4 - 245*h**5 + 60*h - 47*h**4 + 382*h**2 = 0.
-1, -2/7, 0, 3
What is x in 24*x**2 + 44/5*x**3 - 212/5*x + 48/5 = 0?
-4, 3/11, 1
Let a be (-66)/7 + 420/42. Let x(s) be the first derivative of 2/21*s**3 - 1/7*s**2 - a*s - 3. Factor x(n).
2*(n - 2)*(n + 1)/7
Let m(t) = -21*t**2 - 267*t - 237. Let n = -641 - -643. Let a(w) = 5*w**2 + 66*w + 59. Let j(b) = n*m(b) + 9*a(b). Factor j(p).
3*(p + 1)*(p + 19)
Let z(p) = -p**3 - 106*p**2 - 4495*p + 9522. Let o(t) = -t**3 - 112*t**2 - 4493*t + 9522. Let v(m) = 10*o(m) - 8*z(m). Factor v(a).
-2*(a - 2)*(a + 69)**2
Let s = -2042 - -2046. Let q(x) be the first derivative of 1/2*x**6 - 3/4*x**s + 2*x**3 - 6/5*x**5 + 0*x**2 + 0*x - 12. Determine z, given that q(z) = 0.
-1, 0, 1, 2
Factor 672 + 64514*n**2 + 75*n - 32255*n**2 - 32262*n**2.
-3*(n - 32)*(n + 7)
Let 528/7 - 148/7*n + 4/7*n**2 = 0. Calculate n.
4, 33
Let q(m) be the second derivative of 3/16*m**4 + 0*m**5 - 4*m - 1/120*m**6 + 0*m**3 + 7 + 0*m**2. Determine n so that q(n) = 0.
-3, 0, 3
Factor -5755*f**2 + 4*f**3 - 4*f + 164 + 2831*f**2 + 2760*f**2.
4*(f - 41)*(f - 1)*(f + 1)
Let w be (-958)/4*(-1 + 3). Let f = w + 482. Factor 0 + 9/7*d**2 + 0*d + 3/7*d**5 + 3*d**f + 15/7*d**4.
3*d**2*(d + 1)**2*(d + 3)/7
Let f(s) be the third derivative of s**7/315 + 5*s**6/36 + 4*s**5/15 + 968*s**2. Find t, given that f(t) = 0.
-24, -1, 0
Let j be (7 - (-153)/(-17)) + 3904/1950. Let v = j + 2338/975. Factor v + 3*f + 3/5*f**2.
3*(f + 1)*(f + 4)/5
Let q(h) be the third derivative of 1/20*h**6 + 0 + 0*h + 85*h**2 - 7/12*h**4 + 1/105*h**7 - 1/10*h**5 + 2*h**3. Factor q(z).
2*(z - 1)**2*(z + 2)*(z + 3)
Find w, given that 1/7*w**2 - 86/7*w + 249/7 = 0.
3, 83
What is i in -4529/2*i**2 + 20511841/2*i - 92898127889/6 + 1/6*i**3 = 0?
4529
Let p(k) be the second derivative of 0 - 45*k - 5/2*k**2 - 13/15*k**3 - 1/60*k**4. What is r in p(r) = 0?
-25, -1
Find b, given that -650 - 12*b + b**2 + 62*b - 25*b - 13*b - 11*b = 0.
-26, 25
Let n = -184 + 184. Suppose -9 + w**5 - 21*w + n*w**4 - 5*w**4 - 2*w**5 + 3*w**4 + 5*w**4 + 6*w**3 - 10*w**2 = 0. What is w?
-1, 3
Suppose 12*z + 15 - 63 = 0. Factor 40*g**3 + 7*g**4 - 3*g**z - 78*g**3 - 12*g**2 + 2*g**5 + 28*g**3.
2*g**2*(g - 2)*(g + 1)*(g + 3)
Let o(m) be the first derivative of 3*m**4/20 + m**3/5 - 24*m**2/5 + 12*m - 81. Factor o(a).
3*(a - 2)**2*(a + 5)/5
Let n(o) = o**3 + 3*o**2 + o + 5. Let m be n(-3). Factor -m*x**2 + 11 + 22 + 8*x + 22*x - x**2.
-3*(x - 11)*(x + 1)
Suppose -4*s - 853 = -5*l, -2*l + 5*s + 514 - 183 = 0. Suppose -4*b + 20 = -5*c, 178 = 4*c + b + l. Factor -1/6*f**3 + 0 + 1/3*f**5 + 0*f**2 - 1/6*f**4 + c*f.
f**3*(f - 1)*(2*f + 1)/6
Let l(o) = -849*o - 20376. Let h be l(-24). What is v in 10/3*v + 5*v**4 - 5/3*v**3 + h - 5/3*v**5 - 5*v**2 = 0?
-1, 0, 1, 2
Let -44 + 178/5*x + 18/5*x**2 = 0. Calculate x.
-11, 10/9
Let g(n) = n + 7. Let t be g(-5). Let i = 101493 + -1116362/11. Let -3/11*d**4 - i*d**t + 12*d - 32/11*d**3 - 36/11 = 0. What is d?
-6, 1/3, 1
Suppose -23341 = -4*i - 2*a - 23357, -2*i + a = -8. Suppose -9/7*k**2 - 2*k + i = 0. Calculate k.
-14/9, 0
Let z(l) = -5*l**3 - 11*l**2 + 16*l - 8. Let k(s) = -3*s**3 - 7*s**2 + 10*s - 5. Let d(q) = 8*k(q) - 5*z(q). Suppose d(u) = 0. What is u?
0, 1
Let -812045*k**3 - 10629803362243/2 - 327254135*k**2 - 2015/2*k**4 - 131883416405/2*k - 1/2*k**5 = 0. Calculate k.
-403
Let z = -418/49 + 502/49. Let c(x) be the first derivative of -z*x - 5/7*x**2 - 2/21*x**3 + 13. Factor c(h).
-2*(h + 2)*(h + 3)/7
Let l be (-4)/(-6)*(-144)/(-96). Let v be 4/(l/((-8)/(-64))). Factor 1/4*t**3 + 0 + 1/4*t**2 - v*t.
t*(t - 1)*(t + 2)/4
Let w(n) be the second derivative of -n**6/360 - 13*n**5/180 + 35*n**2/2 - 144*n. Let z(s) be the first derivative of w(s). Factor z(t).
-t**2*(t + 13)/3
Determine q so that -167/5*q**2 - 7/5*q**4 - 42/5*q - 72/5*q**3 + 0 = 0.
-7, -3, -2/7, 0
Suppose -7*i + 9*i = 8. Let z = i - 1. Find g such that -4*g**5 + 5*g**5 + 6*g**3 - 7*g**z = 0.
-1, 0, 1
Let y(d) = -d**3 + 117*d**2 - 4189*d + 20977. Let r(c) = -c**2 + 13. Let g(j) = 14*r(j) - 2*y(j). Factor g(a).
2*(a - 59)**2*(a - 6)
Let s(c) be the first derivative of -3/40*c**5 - 18*c - 1/20*c**6 + 32 + 0*c**2 + 1/4*c**3 + 1/8*c**4. Let a(k) be the first derivative of s(k). Factor a(b).
-3*b*(b - 1)*(b + 1)**2/2
Let u(c) be the first derivative of -c**6/80 - c**5/15 - c**4/16 + c**3/6 - c**2/2 + 95*c + 44. Let z(k) be the second derivative of u(k). Factor z(j).
-(j + 1)*(j + 2)*(3*j - 1)/2
Let g be 234 - (-8)/4 - (2 + -1). Suppose 2*m + 0*m - 5*t - g = 0, -230 = -2*m + 4*t. Factor 48*q**2 - q**3 - m*q**2 + 56*q**2 + 2*q.
-q*(q - 1)*(q + 2)
Suppose 3/5*t**2 - 264/5 + 54/5*t = 0. What is t?
-22, 4
Find n, given that -56/3*n**3 - 26/3*n**4 + 55/3*n + 28/3 - 2/3*n**2 + 1/3*n**5 = 0.
-1, 1, 28
Determine q, given that 1326*q - 385*q**2 + 380*q**2 - 1191*q - 900 = 0.
12, 15
Suppose -15 = 5*c - 5*i, 184*c - 3*i + 33 = 189*c. Factor -9/4*o + 27/8*o**2 - 3/2*o**c + 3/8.
-3*(o - 1)**2*(4*o - 1)/8
Let n(l) = -2*l**3 + 3*l**2 - l**2 + 0*l**2 + l**3 + l. Let s(i) = -2*i**4 - 13*i**3 + 16*i**2 + 33*i + 16. Let y(c) = 5*n(c) - s(c). Factor y(j).
2*(j - 2)*(j + 1)**2*(j + 4)
Let n(z) be the second derivative of -z**8/8400 - 4*z**7/1575 - 7*z**6/900 + 23*z**4/6 - 2*z - 48. Let o(d) be the third derivative of n(d). Factor o(a).
-4*a*(a + 1)*(a + 7)/5
Suppose 15 = -0*n + 3*n, -2*n = -4*h - 2 - 0. Let -1/2*q**3 + 0 + 3*q**h - 5/2*q = 0. What is q?
0, 1, 5
Let u(x) be the third derivative of -5*x**8/336 + x**7/2 - 25*x**6/12 - 6*x**5 - 315*x**2. Find h, given that u(h) = 0.
-1, 0, 4, 18
Factor -2/21*n**3 - 202/3*n**2 - 2822/21*n - 470/7.
-2*(n + 1)**2*(n + 705)/21
Let j = -300 - -344. Suppose 9*w + 26 = j. Suppose -12/5*y + 2/5*y**w + 18/5 = 0. Calculate y.
3
Let a(o) be the third derivative of o**8/1176 - 8*o**7/245 + 51*o**6/140 - 61*o**5/105 - 67*o**4/7 - 24*o**3 - 632*o**2. Find t such that a(t) = 0.
-1, 6, 14
Let p(j) be the second derivative of j**7/14 - 17*j**6/5 + 249*j**5/4 - 1025*j**4/2 + 1250*j**3 + 7500*j**2 + 3*j - 31. Factor p(q).
3*(q - 10)**3*(q - 5)*(q + 1)
Let y = 3890782/13 + -299290. Factor y*j + 2/13*j**2 + 10/13.
2*(j + 1)*(j + 5)/13
Suppose 35 = 5*a + 5*i, -14*a = -17*a - 4*i + 23. Factor -5317 + 30*o**4 + 165*o**2 - 14335 + 4*o**a - 3468*o + 3464*o**3 + 4665*o**2 + 14618*o**2 + 174*o**4.
4*(o - 1)*(o + 1)*(o + 17)**3
Let x(d) be the third derivative of 0 + 13/9*d**3 - 1/180*d**5 - 25/72*d**4 + 122*d**2 + 0*d. Factor x(i).
-(i - 1)*(i + 26)/3
Let a be (-2)/42 - ((-2426)/(-210) + -548 + 536). Determine d so that a*d**3 - 48/5 - 4/5*d**2 - 8*d = 0.
-2, 6
Let y be (238/168)/((-2873)/(-507)). Factor -y*t**2 + 55/2*t - 3025/4.
-(t - 55)**2/4
Let 16 - 164/7*h + 50/7*h**2 + 2/7*h**3 = 0. Calculate h.
-28, 1, 2
Let s(u) be the se