y) = -3*y**5 + 2*y**4 - y**3 - y**2 - y - 1. Let l(b) = -4*u(b) - x(b). Solve l(h) = 0 for h.
-2, -3/7, 0, 4
Let o(r) = -r**3 - 7*r**2 - 13*r - 1. Let t be o(-4). Suppose 10811*h**4 - 3 - 10846*h**4 + t - 20*h**2 - 80*h**3 = 0. Calculate h.
-2, -2/7, 0
Let z(b) = 4*b**2 + 14. Let s(u) be the third derivative of u**5/20 + 2*u**3 + 243*u**2. Let x(h) = 5*s(h) - 4*z(h). Factor x(i).
-(i - 2)*(i + 2)
Let k(m) be the third derivative of -4*m**6/45 - 108*m**5/5 - 323*m**4/12 - 121*m**3/9 + m**2 + 744. Solve k(u) = 0 for u.
-121, -1/4
Factor 640/7 - 648/7*v + 2/7*v**3 + 6/7*v**2.
2*(v - 16)*(v - 1)*(v + 20)/7
Let y(l) = -l**3 - 10*l**2 - 16*l + 4. Let m be y(-8). Suppose 13*p**3 - 10*p**2 - 1017 - p**5 - 5*p**3 + 1007 + m*p**4 - 23*p = 0. Calculate p.
-1, 2, 5
Let y(u) be the second derivative of -u**6/60 - 7*u**5/8 + 19*u**4/4 - u**3/3 - 38*u**2 - 5*u - 154. Suppose y(q) = 0. What is q?
-38, -1, 2
Factor 555/4*n + 5/4*n**4 + 0 - 1105/4*n**2 + 545/4*n**3.
5*n*(n - 1)**2*(n + 111)/4
Suppose 4*d - 164 = -3*p, 8*d - 53 = -p + 5*d. Factor 3*h**3 + 12*h**2 - 27*h**2 - 25 + 81*h - p - 12*h**2.
3*(h - 3)**3
Let z(p) = 7*p + 11*p**2 - 3 - p**3 - 2*p + 5*p + 30. Let h be z(12). Determine u, given that -h - 10*u + 5*u**4 + 2 - 4 + 10*u**3 + 0*u**3 = 0.
-1, 1
Factor 1448/7*x - 960/7 - 12/7*x**2.
-4*(x - 120)*(3*x - 2)/7
Suppose 4*f = -0*f + 2*m + 62, 4*m = 3*f - 54. Suppose v**2 - f*v**2 + 5*v**2 + 3*v**2 = 0. What is v?
0
Let m(i) be the third derivative of i**7/735 + 18*i**6/7 + 1041*i**2 - 1. Factor m(v).
2*v**3*(v + 1080)/7
Suppose 2*l = 3*l - 10. Let q be (-15)/l*4/(-3). Let 0*a + 8*a + 25*a**3 + 2*a + 0*a**2 + 35*a**q = 0. Calculate a.
-1, -2/5, 0
Let n = -30 - -28. Let c be -2*((-2 - n) + 0 + -2). Factor -6*z**c + 71*z**2 + 2*z**3 - 71*z**2.
-2*z**3*(3*z - 1)
Let s be ((-1116)/9486)/(2/(-102)). Factor -s*y + 2/3*y**2 + 0.
2*y*(y - 9)/3
Let a be (-3 - (-114)/21) + (720/(-63) - -11). Factor -18*l**3 - 3/2*l**5 - 9*l**4 + 0 - 12*l**a + 0*l.
-3*l**2*(l + 2)**3/2
Let m(v) be the second derivative of 7 + 1/42*v**7 + 7*v + 1/5*v**5 - 1/6*v**4 - 5/6*v**3 + 2/15*v**6 - v**2. Factor m(s).
(s - 1)*(s + 1)**3*(s + 2)
Factor -1/3*j**3 + 10/3*j + 0 + j**2.
-j*(j - 5)*(j + 2)/3
Let g(n) = 26*n**2 + 8080*n - 2040149. Let s(b) = -3*b**2 - 1010*b + 255019. Let q(y) = 6*g(y) + 51*s(y). Factor q(v).
3*(v - 505)**2
Let g(y) be the first derivative of -5*y**6/3 - 108*y**5/5 - 209*y**4/2 - 224*y**3 - 164*y**2 + 96*y - 3941. Suppose g(f) = 0. What is f?
-4, -3, -2, 1/5
Factor -2/3*y**3 - 20/3*y**2 - 84 + 274/3*y.
-2*(y - 7)*(y - 1)*(y + 18)/3
Let g(t) be the first derivative of 244 + 15/2*t**2 - 10/3*t**3 + 3*t**5 - 5*t - 5/2*t**4 - 5/6*t**6. Suppose g(n) = 0. What is n?
-1, 1
Suppose 0 = 13*o - 127 + 10. Let o + 12 + 2*k + 6 + 7 - 37 + k**2 = 0. What is k?
-3, 1
Solve -284/3*c**2 + 485/6*c + 137/3*c**3 + 1/6*c**5 - 74/3 - 22/3*c**4 = 0.
1, 4, 37
Factor 2274*b - 908 + 1/2*b**5 - 117*b**4 - 2053*b**2 + 1607/2*b**3.
(b - 227)*(b - 2)**3*(b - 1)/2
Let f(c) be the third derivative of -c**5/30 - 1331*c**4/3 - 7086244*c**3/3 + 8516*c**2 - c. Find i such that f(i) = 0.
-2662
Suppose 18*d + 9 = 27. Let i(q) = -5*q**2 + 9*q + 24. Let n(t) = -2*t**2 - t - 1. Let p(m) = d*i(m) - 2*n(m). Determine c, given that p(c) = 0.
-2, 13
Let w(r) be the first derivative of 16/19*r - 6/19*r**2 - 12 + 1/38*r**4 - 2/19*r**3. Find s, given that w(s) = 0.
-2, 1, 4
Suppose -3*u - 36 = -4*n - 15, -5*n + 3*u + 24 = 0. Factor 0 + 2*k + 0*k**4 - 6*k**2 - 1 - 6*k - k**4 - 4*k**n.
-(k + 1)**4
Let s(o) be the third derivative of o**6/360 + o**5/15 - o**4/72 - 2*o**3/3 + 535*o**2 + 4. Factor s(h).
(h - 1)*(h + 1)*(h + 12)/3
Let o(q) be the second derivative of -1/8*q**4 - 1/8*q**5 - 40 + 5/12*q**3 + q + 0*q**2 + 1/20*q**6. Solve o(m) = 0.
-1, 0, 1, 5/3
Let a(d) be the second derivative of -d**6/10 - 33*d**5/10 - 28*d**4 + 849*d. Suppose a(x) = 0. What is x?
-14, -8, 0
Suppose 12*z - 1056 = -10*z. Solve 25*c**5 - z*c**2 - 60*c**4 - 128*c**3 - 3*c**5 + 8*c**5 + 6*c**5 = 0 for c.
-2/3, 0, 3
Let a be (108/(-15))/(68/(-90)). Let o be 126/35 - (288/(-45) - -7). Factor 24/17*z**o + 216/17*z - 108/17*z**2 - 2/17*z**4 - a.
-2*(z - 3)**4/17
Suppose -2*l = -2*n - 440, -112*l = -107*l - 2*n - 1088. Factor -l - 36*v - 3/2*v**2.
-3*(v + 12)**2/2
Factor -1607*c**2 + 2582449*c - 4149995543/3 + 1/3*c**3.
(c - 1607)**3/3
Let t = -319/2 + 1915/12. Let x(b) be the first derivative of -1/24*b**4 - t*b**2 + 0*b - 20 - 1/9*b**3. Factor x(a).
-a*(a + 1)**2/6
Suppose -20 = 5*y, 0 = -5*x - 5*y - 5340 - 1405. Let i = -1342 - x. Find t such that 10/3*t + 2*t**2 + 4/3 - 2/3*t**i - 2/3*t**4 = 0.
-1, 2
Let k(i) be the third derivative of -1/30*i**5 - 1/672*i**8 + 0 + 0*i**4 + 0*i**3 + 0*i + 3*i**2 + 0*i**6 + 1/140*i**7. Factor k(c).
-c**2*(c - 2)**2*(c + 1)/2
Let f be 28/70*30/4. Let z(n) = -n**2 - 23*n - 30. Let q(t) = 24*t + 30. Let p(o) = f*z(o) + 2*q(o). Determine l so that p(l) = 0.
-5, -2
Suppose -4*d - 23 = -7. Let t(g) = 95*g**3 - 399*g**2 + 412*g - 12. Let y(w) = 759*w**3 - 3192*w**2 + 3297*w - 96. Let m(q) = d*y(q) + 33*t(q). Factor m(c).
3*(c - 2)**2*(33*c - 1)
Suppose 0 = 6*v + 15 - 45. Suppose 8 = x - v*n, 2*n = 2*x - 3*n - 11. Let 9*w**x - 8*w**2 - 7*w**3 + 0*w**3 = 0. What is w?
0, 4
Factor 534*z**2 - 2388*z**3 + 1191*z**3 + 1196*z**3 - 71289*z.
-z*(z - 267)**2
Suppose -58*i = 198*i. Let b(t) be the third derivative of i*t + 1/120*t**4 - 1/300*t**5 - 29*t**2 + 0*t**3 + 0. Find g such that b(g) = 0.
0, 1
Find a such that -23*a**2 + 19*a**3 - 263 - 90*a**2 + 5*a**4 + 165*a + 400 - 209 - 4*a**4 = 0.
-24, 1, 3
Let k(h) = -116*h - 532. Let f be k(-5). Let q be (-6 + 284/f)*(-920)/35. Suppose -22/21*l**4 - q*l**3 - 22/21*l - 46/21*l**2 - 4/21*l**5 - 4/21 = 0. What is l?
-2, -1, -1/2
Let l(f) = -3 - 7 + 2*f**3 - 13*f**2 + 5*f**3 - 13*f - 6*f**3. Let v be l(14). Factor -12*u**3 + 28*u**3 - v*u + 6*u**2 - 18*u**3.
-2*u*(u - 2)*(u - 1)
Let x(o) be the first derivative of -2*o**5/25 - 7*o**4/10 - 16*o**3/15 + 16*o**2/5 + 1799. Factor x(f).
-2*f*(f - 1)*(f + 4)**2/5
Let f(h) be the second derivative of h**6/15 - 443*h**5/60 - 362*h**4/9 - 1153*h**3/18 - 77*h**2/3 + 4513*h. Find s, given that f(s) = 0.
-2, -1, -1/6, 77
Factor 5577 - 4*t**4 + 1185*t + 3135 + 361*t**3 + 2643*t - 4612*t**2 - 93*t**3.
-4*(t - 33)**2*(t - 2)*(t + 1)
What is j in -23840283/2 - 3/2*j**2 + 8457*j = 0?
2819
Factor 11388*z**2 - 82*z**4 + 172*z**3 - 26*z + 26*z - 11404*z**2.
-2*z**2*(z - 2)*(41*z - 4)
Let u(n) be the third derivative of -n**6/1200 + 7*n**5/120 - 2*n**4/15 - 17*n**3/15 + 7201*n**2. Factor u(v).
-(v - 34)*(v - 2)*(v + 1)/10
Let o be -2*(-2 - 12/(-4)) + 2. Suppose -5*v = o, 2*z = -18*v + 16*v + 4. Find j, given that 12/7*j - 3/7*j**z - 12/7 = 0.
2
Let w be -58 + (-18189)/(-301) - (-8)/14. Suppose -1/10*d**w + 12/5*d**2 - 23/10*d + 0 = 0. What is d?
0, 1, 23
Let -17557*k**3 + 132*k**2 - 17559*k**3 + k**4 + 35153*k**3 = 0. Calculate k.
-33, -4, 0
Suppose 198 = -10*h + 16*h. Let t(r) = -r**2 + 38*r - 163. Let v be t(h). Factor -1/2*w**2 - 2/3 + 5/6*w**3 - v*w.
(w - 2)*(w + 1)*(5*w + 2)/6
Factor 777*u - 3/2*u**2 + 0.
-3*u*(u - 518)/2
Let s = -161 - -225. Let p = s - 61. Factor 5*z**5 - 10*z**2 + 22*z - 10 + 8*z**4 + 12*z**4 + 7*z**p + 13*z**3 - 47*z.
5*(z - 1)*(z + 1)**3*(z + 2)
Let 20*k + 64/5 + 2/5*k**3 + 38/5*k**2 = 0. What is k?
-16, -2, -1
Let v be (6/(-33))/((-16)/418 + (-24)/456). Let m(p) be the second derivative of -3*p + 0 + 1/24*p**5 + 0*p**v + 1/36*p**4 + 0*p**3. Factor m(x).
x**2*(5*x + 2)/6
Let n = 2139/21370 - 1/10685. Let b(v) be the first derivative of -n*v**4 + 2/15*v**3 + 0*v + 5 + 0*v**2. Factor b(s).
-2*s**2*(s - 1)/5
What is m in 5*m**2 - 2340*m + 14730 - 14730 = 0?
0, 468
Let f(g) be the first derivative of -16*g**6/3 + 48*g**5/5 + 143*g**4/2 + 44*g**3 + 8*g**2 + 1970. Find c such that f(c) = 0.
-2, -1/4, 0, 4
Solve 77*t**3 - 4*t**5 - 41*t**3 - 192*t + 136*t**2 - 24*t**4 + 26*t**3 + 22*t**3 = 0.
-8, -2, 0, 1, 3
Let j(a) be the third derivative of a**7/105 + a**6/30 - 2*a**5/5 + 7*a**4/6 - 5*a**3/3 - 482*a**2. Factor j(s).
2*(s - 1)**3*(s + 5)
Let a = -26 - -24. Let x be (1/(-2))/((a/(-1))/(-24)). Factor 3*l**3 + 2*l**5 - 28*l**2 + 28*l**2 + l**5 - x*l**4.
3*l**3*(l - 1)**2
Solve 108*l**4 + 4*l**5 - 251*l**4 - 4*l**3 + 172*l**2 + 11