5*b**2 - 7/3*b**3 + 0*b + 46 - 1/4*b**4. Suppose g(d) = 0. What is d?
-5, -2, 0
Let n(x) = x**2 - 128*x - 117. Let p(o) = -255*o - 235. Let v = 510 + -513. Let y(t) = v*p(t) + 5*n(t). Factor y(m).
5*(m + 1)*(m + 24)
Let n(r) be the third derivative of -r**6/210 + r**5/12 - r**4/7 + 278*r**2. Factor n(l).
-l*(l - 8)*(4*l - 3)/7
Let z(v) = -v**3 + 4*v**2 + 62*v - 20. Let p be z(10). Let x(o) be the third derivative of 1/15*o**5 - 4/3*o**3 + 1/6*o**4 + 0*o + p + 9*o**2. Solve x(i) = 0.
-2, 1
Let h(u) = 7*u**3 - 530*u**2 + 1069*u - 522. Let l(j) = -8*j**3 + 530*j**2 - 1071*j + 521. Let z(q) = 7*h(q) + 6*l(q). Let z(g) = 0. What is g?
1, 528
Let r(q) = q**2 + 20*q - 49. Let u be r(-22). Let j be (-6)/(1 - -2) - u. Determine v so that -4*v**2 - j*v**4 - 8*v - 17*v**4 + 8*v**3 + 24*v**4 = 0.
-2, -1, 0, 1
Let k(v) be the second derivative of 5*v**7/42 - 7*v**6/6 + 15*v**4 - 592*v + 3. Determine a, given that k(a) = 0.
-2, 0, 3, 6
Let w(d) be the second derivative of -2/5*d**6 - d**4 + 11/10*d**5 + 0*d**3 + 34*d + 1/21*d**7 + 0 + 0*d**2. Find v such that w(v) = 0.
0, 1, 2, 3
Let a(t) be the first derivative of -1/3*t**3 - 1/24*t**4 + 4*t - 88 + 1/3*t**2. Factor a(g).
-(g - 2)*(g + 2)*(g + 6)/6
Let s(k) be the first derivative of -2*k**5/5 + 38*k**3/3 - 6*k**2 - 144*k + 874. Factor s(i).
-2*(i - 3)**2*(i + 2)*(i + 4)
Let i(y) be the third derivative of y**7/210 + 9*y**6/20 - y**5/20 - 20*y**4/3 + 18*y**3 - 2*y**2 + 41*y - 1. Factor i(s).
(s - 1)**2*(s + 2)*(s + 54)
Let h = 227 - 224. Factor 16 - 16*w - 4*w**4 - 12*w**2 + 5*w**3 - 12*w**3 + 23*w**h + 0*w**4.
-4*(w - 2)**2*(w - 1)*(w + 1)
Let v be ((-24)/(-52))/(((-180)/990)/((-39)/33)). Solve 54*c**2 - 315/4*c - 12*c**v + 147/4 = 0.
1, 7/4
Let c(g) be the first derivative of -3*g**4/4 + 87*g**3 + 132*g**2 - 6120. Factor c(d).
-3*d*(d - 88)*(d + 1)
Let p(k) be the third derivative of -9/20*k**5 + 37*k**2 + 0 - 2*k**3 + 0*k + 3/2*k**4. Factor p(v).
-3*(3*v - 2)**2
What is k in 51 + 27320*k**3 + 51*k + 45*k - 329 - 27344*k**3 + 111*k**2 - 118 - 3*k**4 = 0?
-11, -2, 2, 3
Let m(o) be the first derivative of 0*o**3 + 20 + 7/60*o**5 - 1/18*o**4 + 0*o**2 + 6*o. Let d(b) be the first derivative of m(b). Determine u so that d(u) = 0.
0, 2/7
Solve -120/7*n + 0 + 9/7*n**3 + 54/7*n**2 - 3/7*n**4 = 0 for n.
-4, 0, 2, 5
Let i = 2502 - 2500. Let x(p) be the first derivative of -1/4*p**4 - 2/9*p**3 - 4 + 2/3*p + 1/2*p**i. Factor x(l).
-(l - 1)*(l + 1)*(3*l + 2)/3
Let -21/4*z**4 + 2491/2*z**2 + 118 - 1153/4*z**3 - 1355*z = 0. What is z?
-59, 2/21, 2
Suppose 62*j = 58*j + 2*r + 264, 0 = 4*j + r - 252. Suppose q + 3*g - 2 = 0, 66*g - j*g + 2 = q. Factor 21/8*h**3 - 27/8*h**q + 3/4*h + 0.
3*h*(h - 1)*(7*h - 2)/8
Let m = -1042 - -436. Let f = 609 + m. Factor -f*l**2 - 9 + 21/2*l.
-3*(l - 2)*(2*l - 3)/2
Let p(z) be the first derivative of -356/5*z**2 - 89 + 812/15*z**3 - 12/5*z**4 + 128/5*z. Solve p(m) = 0.
1/4, 2/3, 16
Let k(j) = -25*j**2 - 281*j - 72. Let b(m) = 10*m**2 - m - 2. Let d(p) = -6*b(p) + k(p). Determine t, given that d(t) = 0.
-3, -4/17
Let b(v) = v**2 + v + 1. Let y(m) = -2*m**2 + 0*m**2 + 6 + 2 + 10 - 10*m. Let x(c) = -2*b(c) + y(c). Factor x(i).
-4*(i - 1)*(i + 4)
Let z(f) be the third derivative of f**7/315 - 49*f**6/60 - 376*f**5/45 - 101*f**4/3 - 608*f**3/9 + 71*f**2 + f - 10. Let z(n) = 0. What is n?
-2, -1, 152
Let 4*d**5 + d**3 - 7*d**5 + 3*d**2 + 16*d - 3*d**4 - 18*d + 4*d**5 = 0. Calculate d.
-1, 0, 1, 2
Let o(h) be the second derivative of 84*h + 425/6*h**3 + 105*h**2 + 0 + 1/4*h**5 + 55/3*h**4. Determine g, given that o(g) = 0.
-42, -1
Let h(y) be the third derivative of y**8/504 + y**7/105 - 2*y**5/45 + y**2 - 44*y. Solve h(d) = 0 for d.
-2, 0, 1
Suppose 25*f - 83*f = -406. Solve 81*q**2 + f - 5*q**3 + 70*q - 76*q**2 - 127 = 0 for q.
-4, 2, 3
Let h(a) = 11*a + 257. Let d be h(-23). Let f(j) be the second derivative of -1/4*j**3 + 0 - 9/4*j**2 + 5/24*j**d + 19*j - 1/40*j**5. Solve f(x) = 0.
-1, 3
Let r(d) = -3*d**4 - 2*d**3 - d**2 - 2. Let o(a) = 15*a**5 - a**4 - 1449*a**3 + 3993*a**2 + 2450*a - 3024. Let h(n) = o(n) - 12*r(n). What is j in h(j) = 0?
-12, -1, 2/3, 5
Let a be (-800)/(-128) - (-24)/(-20)*5. Solve 7/2*c + 1/2*c**3 + a*c**4 - 5/4 - 3*c**2 = 0 for c.
-5, 1
Let p be (-8)/((-640)/664) + 260/104. Find u such that 12/5*u**2 + p*u - 16/15*u**4 - 8/3*u**3 + 36/5 = 0.
-3/2, 2
Let k(z) be the first derivative of 33 + 50/3*z**2 + 26*z + 1/36*z**4 - 10/9*z**3. Let g(t) be the first derivative of k(t). Let g(y) = 0. Calculate y.
10
Determine y, given that -742*y**3 + 1168 - 134041*y**2 - 6*y**5 + 600*y + 133173*y**2 - 156*y**4 + 4*y**5 = 0.
-73, -2, 1
Let p(c) be the third derivative of c**5/20 + 649*c**4/4 + 1297*c**3/2 + 8710*c**2. Suppose p(k) = 0. Calculate k.
-1297, -1
Let n = 2/565755 - -26590481/1131510. Suppose n*o + 13/2*o**2 - 9 - 47/2*o**3 + 5/2*o**4 = 0. What is o?
-1, 2/5, 1, 9
Suppose -5*b + 3*b + 14 = -4*x, 2*b - x = 8. Suppose 0 = b*i - 0 - 12. Find h, given that 98*h**5 - 8*h**2 + 46*h + 64*h**3 - 46*h - 154*h**i = 0.
0, 2/7, 1
Let y(j) = 3620*j - 7072. Let d be y(2). Factor -d*g - 392/5 - 12*g**3 - 2/5*g**4 - 506/5*g**2.
-2*(g + 1)**2*(g + 14)**2/5
Let l(t) be the third derivative of -t**7/1890 - 19*t**6/90 - 6383*t**5/270 + 2185*t**4/18 - 13225*t**3/54 - 4*t**2 + 240. Factor l(a).
-(a - 1)**2*(a + 115)**2/9
Suppose 34 - 14 = 2*w. Suppose -4*b + 8 = 0, 3*q - 27 - w = b. Factor -58*n**3 + q*n**3 - 10*n + 28*n**2 + 20*n**2 + 7*n**2.
-5*n*(n - 1)*(9*n - 2)
Suppose -325 + 1027 = 9*u. Let g be (-36)/u - (-136)/182. Factor 4/7*l**5 + 10/7*l**2 + 2*l**4 + 0 + 18/7*l**3 + g*l.
2*l*(l + 1)**3*(2*l + 1)/7
Let q be (-992)/252 + (-5 - -9). Let t = q - -106/315. Determine f so that -16/5*f**4 + 48/5*f**3 - 64/5*f**2 + t*f**5 + 0 + 32/5*f = 0.
0, 2
Let t = 6 - 4. Suppose 0 = -38*d + 30*d + 144. Suppose 14*i**2 + 10*i**t + d*i**4 + 11*i**5 + 46*i**3 - 8*i**5 - 10*i**3 = 0. Calculate i.
-2, 0
Let p = 294001/3 - 97997. Factor -58/9*t + 26/9*t**2 + p + 2/9*t**3.
2*(t - 1)**2*(t + 15)/9
Let m(q) = q**2 + 26*q + 148. Let v be m(-21). Let z(i) be the first derivative of -2/3*i + 1/6*i**2 + 1/9*i**3 + v. Factor z(h).
(h - 1)*(h + 2)/3
Factor 0 + 2/11*v**3 + 18/11*v + 20/11*v**2.
2*v*(v + 1)*(v + 9)/11
Let b(x) be the third derivative of -3*x**7/35 - 13*x**6/20 - 8*x**5/15 + 16*x**4/3 + 10*x**2 + 4. Find h, given that b(h) = 0.
-8/3, 0, 1
Let j(r) be the second derivative of -1/2*r**5 + 2*r - 8/3*r**4 - 16/3*r**3 + 0*r**2 - 1/30*r**6 - 6. Factor j(x).
-x*(x + 2)*(x + 4)**2
Let m = 203438 - 203438. Factor 0 - 1/6*a**5 + 0*a + a**3 + m*a**2 + 1/6*a**4.
-a**3*(a - 3)*(a + 2)/6
Let o(t) be the second derivative of 8*t**6/15 - 42*t**5 + 2017*t**4/12 - 142*t**3 + 50*t**2 + 2*t + 4018. Solve o(k) = 0 for k.
1/4, 2, 50
Let s = 345/37 - 2723/296. Suppose 0 - 1/2*k**3 - s*k**5 + 3/2*k**2 + 0*k - 7/8*k**4 = 0. Calculate k.
-6, -2, 0, 1
Suppose 519*y - 170*y - 698 = 0. Factor 3/2*r + 9/4 + 1/4*r**y.
(r + 3)**2/4
Let i(v) be the third derivative of -v**7/525 - 17*v**6/300 + 61*v**5/150 + 17*v**4/60 - 4*v**3 + 2*v**2 + 353*v. Solve i(c) = 0.
-20, -1, 1, 3
Let l(s) be the first derivative of -s**4 - 412*s**3/3 - 988*s**2 - 1568*s - 4668. Find i such that l(i) = 0.
-98, -4, -1
Let g(z) be the second derivative of z**4/54 - 74*z**3/9 + 221*z**2/9 - 70*z + 2. Factor g(t).
2*(t - 221)*(t - 1)/9
Let p(q) be the second derivative of -q**6/960 + q**5/160 + 3*q**4/64 + 38*q**3/3 - 54*q. Let l(v) be the second derivative of p(v). Let l(o) = 0. What is o?
-1, 3
Factor -p**3 + 155235*p - 2*p**3 - 155365*p + p**3 + 7*p**3 + 115*p**2 - 240.
5*(p - 2)*(p + 1)*(p + 24)
Let u = -35 + 107/3. Suppose 522 = 323*w - 48*w - 14*w. Solve 8/3*b**4 + 8/3*b**w + 2/3*b**5 + u*b + 4*b**3 + 0 = 0 for b.
-1, 0
Suppose 774*k - 784*k = -30. Let g(o) be the third derivative of 0 + o**k - 1/10*o**5 + 0*o + o**2 + 11/40*o**6 - 11/8*o**4. What is r in g(r) = 0?
-1, 2/11, 1
Let u(p) be the first derivative of 11*p**4/4 + 229*p**3/3 - 21*p**2 - 14387. Factor u(j).
j*(j + 21)*(11*j - 2)
Let 0 - 2/3*g**2 - 64*g = 0. What is g?
-96, 0
Let 0 + 351649/8*f + 1/8*f**5 - 148*f**4 + 174639/4*f**3 + 87764*f**2 = 0. What is f?
-1, 0, 593
Suppose -8*y + 4*y = -8. Let k = 14357 + -43025/3. Determine d, given that 38/3*d**4 + 14/3*d**5 + 8/3 - k*d**y + 2/3*d**3 - 1