 (-156)/6)*(-3 - 1 - -4). Factor 1/3*i**4 + 2*i**2 + z*i + 0 - 5/3*i**3.
i**2*(i - 3)*(i - 2)/3
Factor 20*x**3 + 25*x**3 - 19*x**3 + 14*x**3 + 5480*x - 2730*x**2 - 45*x**3.
-5*x*(x - 2)*(x + 548)
Let d = -706 + 710. Let y(t) = -3*t - 4. Let z be y(-3). Suppose d*v**3 - 27*v + z*v**3 + 2*v**3 + 9*v**2 - 8*v**3 + 15 = 0. Calculate v.
-5, 1
Let b(h) be the second derivative of -h**6 + 5/4*h**5 + 0*h**3 + 1 + 2*h + 0*h**4 + 0*h**2 + 5/42*h**7. Factor b(g).
5*g**3*(g - 5)*(g - 1)
Let g(m) = m**5 - m**3 + m - 2. Let a(f) = -5*f**5 - 2*f**4 - 41*f**3 - 32*f**2 + 202*f - 116. Let l(j) = a(j) + 6*g(j). Suppose l(t) = 0. What is t?
-4, 1, 8
Let d(o) be the first derivative of -2*o**3/57 - 676*o**2/19 + 1354*o/19 - 2798. Suppose d(p) = 0. What is p?
-677, 1
Let q be (-3 - 62/(-22))*(-21 - 12). Let c(r) be the third derivative of 1/15*r**4 - 1/525*r**7 - 8*r**2 + 0 + 0*r**3 + 0*r - 1/100*r**q + 0*r**5. Factor c(f).
-2*f*(f - 1)*(f + 2)**2/5
Let r(b) be the first derivative of -b**5/40 - 33*b**4/32 + 621*b**3/4 - 19683*b**2/4 + 63423*b + 5971. Find v, given that r(v) = 0.
-87, 18
Suppose 0 = -2*l - 2*w - 6, 5*l - 46*w - 15 = -41*w. Let h(j) be the second derivative of -2/3*j**4 - 1/6*j**5 + 11*j - 4/9*j**3 + l*j**2 + 0. Factor h(t).
-2*t*(t + 2)*(5*t + 2)/3
Let g(m) be the first derivative of -m**4/10 + 19*m**2/5 - 12*m + 196. Let g(k) = 0. What is k?
-5, 2, 3
Let v(d) = -d**3 - 2*d**2 - d - 1. Let c(a) = 36*a**4 - 430*a**3 + 152*a**2 + 250*a + 62. Let q(r) = -c(r) - 14*v(r). Suppose q(i) = 0. Calculate i.
-1/3, 1, 12
Let p(y) be the second derivative of -y**5/20 - 29*y**4/2 + y**3/6 + 87*y**2 + 3818*y. Solve p(f) = 0.
-174, -1, 1
Let m = -1027286 - -1027288. Suppose m*x**2 + 11/2 + 59/8*x + 1/8*x**3 = 0. What is x?
-11, -4, -1
Suppose 5*l + 2*f = -9 + 14, 0 = -5*l + 5*f + 40. Factor -91 - 151 + 100*h**2 - 2*h**3 + 2*h**l + 4*h**3 - 434 + 572*h.
4*(h - 1)*(h + 13)**2
Let p(t) be the third derivative of -51*t**5/140 - t**4/4 - 2733*t**2. What is y in p(y) = 0?
-14/51, 0
Factor 471*x - 281*x - 248*x - 2*x**2.
-2*x*(x + 29)
Let q(d) be the first derivative of -256*d**5/15 + 976*d**4/3 - 1516*d**3/3 + 478*d**2/3 - 56*d/3 + 2226. Suppose q(g) = 0. Calculate g.
1/8, 1, 14
Suppose -164*b - 64*b - 10*b**3 - 60*b**2 + 129*b**2 + 156 + 13*b**3 = 0. Calculate b.
-26, 1, 2
Suppose -2/9*l**3 - 32/3*l**2 + 0 + 0*l = 0. What is l?
-48, 0
Let s = 83 + -413/5. Let u be (18/(-5))/(306/(-255)) - 1. Let -8/5 - s*h**u - 2*h = 0. Calculate h.
-4, -1
Let m be 66/15*(-325)/(-10) + -3. Suppose -12*i**2 + 1964 + 1949 - m*i - 4001 = 0. What is i?
-11, -2/3
Let o be 1/3 + 44/30. Let i = -4/85601 - -256823/428005. Factor 3/5*j**3 - o - 3*j - i*j**2.
3*(j - 3)*(j + 1)**2/5
Let o = -1760 + 1766. Let x(f) be the third derivative of -1/240*f**o + 0 + 0*f**4 - 21*f**2 - 1/40*f**5 + 0*f + 0*f**3. Let x(l) = 0. What is l?
-3, 0
Let q(c) = -12*c**2 - 15392*c + 4930580. Let a(g) = 5*g**2 + 5131*g - 1643527. Let k(r) = -8*a(r) - 3*q(r). Let k(z) = 0. What is z?
641
Let r(d) be the second derivative of 16*d**7/21 - 128*d**6/15 + 67*d**5/2 - 140*d**4/3 - 7*d**3 + 18*d**2 - 1208*d. Let r(s) = 0. What is s?
-1/4, 1/4, 2, 3
Let y(g) = -5*g + 37. Let f be y(7). Factor 6*w**2 - 24*w + 27*w + 0*w**f + 84 - 3*w**2 + 45*w.
3*(w + 2)*(w + 14)
Let m(x) = -2*x**3 - 29*x**2 - 41*x + 78. Let f(l) = 13*l**3 + 206*l**2 + 287*l - 546. Let z(v) = -3*f(v) - 20*m(v). Factor z(j).
(j - 39)*(j - 1)*(j + 2)
Let f = -5959/5 + 1193. What is r in 0*r + 0 + f*r**2 + 14/5*r**3 = 0?
-3/7, 0
Let -11130320 - 4/5*x**2 + 5968*x = 0. Calculate x.
3730
Let n(c) be the first derivative of 12*c + 14*c - 35*c**4 - 46*c - 3 + 49*c**5 - 75*c**3 + 70*c**2. Suppose n(y) = 0. What is y?
-1, 2/7, 1
Let s be 390/182 + 4/(-3) + (-1225)/(-1029). Factor -3/4*q**3 - 192*q + 0 - 24*q**s.
-3*q*(q + 16)**2/4
Let i = -1616/7 + 213. Let h = 1487/77 + i. Factor 2/11*l**3 + h + 8/11*l**4 + 2/11*l**5 - 8/11*l - 20/11*l**2.
2*(l - 1)**2*(l + 2)**3/11
Factor -7/3*q**2 + 0*q + 5*q**3 - 3*q**4 + 0 + 1/3*q**5.
q**2*(q - 7)*(q - 1)**2/3
Let z be (88012 + -3)/((-3)/(-3)). What is b in z - b**3 - 40759 + 384*b**2 - 3*b**3 + 83822 - 12288*b = 0?
32
Find g such that -111949 + 234*g**3 - 195571 - 312485*g**2 - 655*g**3 - 5*g**4 + 617520*g + 2911*g**3 = 0.
1, 248
Let r be (-4 + 4 + -2)/2*-2. Factor 103 - 165 - 4*x**r + 94 + 8*x.
-4*(x - 4)*(x + 2)
Factor -114*u**3 + 5*u**4 - 39*u**3 + 158*u**3 - 30*u**2.
5*u**2*(u - 2)*(u + 3)
Let l(p) be the first derivative of 5/3*p**3 + 1/4*p**4 + 0*p - 1 + 0*p**2. Let l(q) = 0. Calculate q.
-5, 0
Let m(h) = 3*h**2 - 221*h - 768. Let a be m(77). Let n(j) be the second derivative of 1/6*j**6 + 25*j + 0*j**3 - 1/4*j**4 + 0*j**a + 0 - 1/10*j**5. Factor n(q).
q**2*(q - 1)*(5*q + 3)
Let q be (2 - -55*1/5) + -10. Let m = 5/22 - -14/11. Determine t, given that -q*t - m*t**2 + 0 = 0.
-2, 0
Let -194*q**3 + 8*q**5 - 44*q**2 + 122*q**4 + 197*q - 39 + 13 - 11*q**5 - 52 = 0. Calculate q.
-1, 2/3, 1, 39
Let l(i) be the second derivative of 3*i**7/28 - 17*i**6/10 + 1393*i**5/160 - 1331*i**4/96 + 335*i**3/48 - 25*i**2/16 + 5*i - 330. Let l(p) = 0. Calculate p.
1/6, 1, 5
Let z(u) be the first derivative of -13*u**4/14 - 4988*u**3/21 - 119424*u**2/7 + 36864*u/7 + 1130. Suppose z(s) = 0. What is s?
-96, 2/13
Let z(p) be the third derivative of -p + 1/1008*p**8 + 16/315*p**7 + 37/60*p**6 + 289/72*p**4 - 136/45*p**5 + 0*p**3 + 0 - 10*p**2. Factor z(i).
i*(i - 1)**2*(i + 17)**2/3
Find k, given that 230/19*k + 0 - 2/19*k**2 = 0.
0, 115
Let w(g) be the third derivative of -g**6/300 - 16*g**5/75 - 23*g**4/5 - 144*g**3/5 + g**2 + 51*g + 6. Determine u so that w(u) = 0.
-18, -12, -2
Let r(h) be the second derivative of -h**5/130 + 158*h**4/13 - 631*h**3/13 + 946*h**2/13 + 756*h - 2. Determine k, given that r(k) = 0.
1, 946
Let m = -8078 - -169594/21. Let d = 146/63 + m. Let -d*u + 0 + 2/9*u**2 = 0. What is u?
0, 1
Let v(s) be the first derivative of -s**4/2 - 56*s**3/3 - 260*s**2 - 1600*s + 257. Suppose v(m) = 0. What is m?
-10, -8
Let m(z) be the third derivative of z**6/180 - z**5/4 - 4*z**4/3 + 61*z**3/2 + 150*z**2 + 2*z. Let a(g) be the first derivative of m(g). Solve a(n) = 0 for n.
-1, 16
Let b(q) be the first derivative of -q**6/2 + 6*q**5/5 + 81*q**4/4 - 108*q**3 + 162*q**2 + 2720. Suppose b(g) = 0. What is g?
-6, 0, 2, 3
Let p(v) be the third derivative of -1/2*v**3 + 17/20*v**5 + 0*v - 163*v**2 - 1/8*v**4 + 0 - 3/8*v**6. Factor p(a).
-3*(a - 1)*(3*a - 1)*(5*a + 1)
Let f be 14/21*2/((-100)/(-45)). Let j(c) be the first derivative of f*c**5 + 3*c**3 - 15 - 3*c**4 + 0*c**2 + 0*c. Let j(q) = 0. What is q?
0, 1, 3
Let i(b) be the third derivative of -b**8/672 - b**7/84 + 11*b**6/120 + 7*b**5/15 + 2*b**2 + 81*b. Suppose i(z) = 0. What is z?
-7, -2, 0, 4
Let g(k) = 10*k**2 - 4*k + 3. Let h be g(2). Let w = -15 + h. Factor 0*c**2 + 30 + 0*c**2 + 2*c**2 + w*c + 20.
2*(c + 5)**2
Factor 2*c**2 - 13*c - 33 - 12 - 1 - 2 - c**2.
(c - 16)*(c + 3)
Suppose 241*c - 320 - 644 = 0. What is q in 0*q + 3/7*q**c - 60/7*q**2 + 0 - 3/7*q**3 = 0?
-4, 0, 5
Let n(t) be the second derivative of t**4/54 - 758*t**3/9 + 143641*t**2 + 288*t - 10. Factor n(a).
2*(a - 1137)**2/9
Factor -10*x + 26*x - 6*x**3 + 15*x + 11*x - 76 + 112*x**2.
-2*(x - 19)*(x + 1)*(3*x - 2)
Let x(m) be the first derivative of m**3/9 - 266*m**2/3 + 70756*m/3 + 2086. Factor x(o).
(o - 266)**2/3
Suppose -4*t - 4*o = -28 - 68, 4*t = -3*o + 93. Suppose -2*y + 5*y - t = -4*c, 0 = 4*c + 5*y - 27. Factor -17*x + x**2 - 14 + 8*x + 5*x**2 + x**c.
(x - 2)*(x + 1)*(x + 7)
Let l(x) = 5*x**2 + 5*x - 34. Suppose 15 = 196*i - 191*i. Suppose -t + 0 = i. Let r(f) = 5*f**2 + 5*f - 33. Let k(j) = t*l(j) + 4*r(j). Solve k(q) = 0 for q.
-3, 2
Let j(s) = 44*s - 53. Let o be j(6). Let q = 1059/5 - o. Factor -q*l**2 - 20 - 8*l.
-4*(l + 5)**2/5
Let t be -2*(-186)/(-52) - (-16 + 10). Let d = t + 43/26. Factor 0 + 1/4*c**3 + 0*c**2 + 1/4*c**5 - d*c**4 + 0*c.
c**3*(c - 1)**2/4
Suppose -28*l - 56*l = -504. Let o(m) be the second derivative of -5/6*m**3 + 0*m**2 - 3/4*m**5 + 13*m + 0 - 1/6*m**l - 5/4*m**4. Find u such that o(u) = 0.
-1, 0
Let w(u) = 9*u**2 - 594*u + 17405. Let p(g) = -17*g + 165. Let i be p(10). Let o(j) = -10*j**2 + 595*j - 17405. Let z(x) = i*w(x) - 4*o(x). Solve z(a) = 0.
59
Suppose -69*p + 112*p = -28*p + 