p(m) = 0. What is m?
-1, 0, 3
Suppose -75*o**4 + 42 - 20498*o**2 + 19*o**4 + 3*o**5 + 20272*o**2 + 25*o + 212*o**3 = 0. What is o?
-1/3, 1, 3, 14
Let y(s) = -2 + 7*s**2 + 3 - 8*s**2. Let n(w) = -w**3 + 21*w**2 + 11*w - 11. Let o(p) = 4*n(p) + 44*y(p). Let o(c) = 0. Calculate c.
-1, 0, 11
Suppose 12438 = 13*c + 5*c. Let l = 6223/9 - c. Find t such that 4/9 - l*t + 1/9*t**2 = 0.
2
Let k be ((-12)/16)/(45/(-80)). Suppose -634 = -176*s + 79 + 343. Factor 14/3*f**2 + k - s*f.
2*(f - 1)*(7*f - 2)/3
Let q(c) = -c**3 - c**2 - c. Let n(l) = 4*l**4 + 34*l**3 - 27*l**2 - 8*l. Let x = -268 + 263. Let s(b) = x*q(b) - 5*n(b). Determine r, given that s(r) = 0.
-9, -1/4, 0, 1
Let m(r) be the first derivative of 2*r + r**2 - 58 - 1/40*r**5 + 0*r**3 - 1/8*r**4. Factor m(w).
-(w - 2)*(w + 2)**3/8
Let c be 3621/(-357)*3/((-3)/134). Let d = c - 1358. Factor 0 - 2/7*t**5 + 24/7*t**2 - d*t + 12/7*t**4 - 26/7*t**3.
-2*t*(t - 2)**2*(t - 1)**2/7
Let q be (-1 - (1 + -2))/(81 - 38 - 42). Suppose 1/2*j + 1/4*j**2 + q = 0. Calculate j.
-2, 0
Let h(j) = 6*j**5 + 130*j**4 + 578*j**3 - 150*j**2 + 12*j - 24. Let g(z) = z**4 + 2*z**3 + 4*z**2 + z - 2. Let n(y) = 12*g(y) - h(y). What is t in n(t) = 0?
-11, -9, 0, 1/3
Suppose 7*f + 25 = 151. Let c(x) = 2*x**2 - 4*x + 2. Let v be c(2). What is n in 4*n + 17*n**2 - f*n**v - 4*n + n**4 = 0?
-1, 0, 1
Suppose -4*c = 2*p - 3*p, 5*p = -3*c + 23. Suppose 3*a + 3*l - 36 = 0, p*l = 16*a - 19*a + 39. Factor a*g**3 + 24 + 3/2*g**2 - 36*g + 3/2*g**4.
3*(g - 1)**2*(g + 4)**2/2
Let r(w) = -w + 12. Let d be r(5). Let z be (6 - 1)/(d*(-4)/(-4816)). Solve -860*t - 8 + 2*t**2 + z*t = 0.
-2, 2
Let f = -37 + 62. Suppose 0 = 166*a - 165*a - 3. Factor 6 + 0*q + 13*q**2 - a*q + 9*q**2 - f*q**2.
-3*(q - 1)*(q + 2)
Let n = -2875/13 - -31833/143. Factor -2/11*f**5 - 24/11*f**3 + 0*f + 0 + n*f**4 + 0*f**2.
-2*f**3*(f - 6)*(f - 2)/11
Solve 726 - 116 + 11231491*z**2 + 315*z - 11231486*z**2 = 0.
-61, -2
Let n be 8*(-10 + 13 - 10/4). Let o(h) be the third derivative of 1/120*h**6 + 0 - 1/3*h**3 - 10*h**2 + 1/30*h**5 + 0*h - 1/24*h**n. What is c in o(c) = 0?
-2, -1, 1
Factor -92/9*s**2 + 64/3 + 4/9*s**3 - 104/9*s.
4*(s - 24)*(s - 1)*(s + 2)/9
Let -344/5*c**2 + 2/5*c**3 - 1022*c - 18228/5 = 0. Calculate c.
-7, 186
Determine i, given that 3/4*i**2 + 99/2*i**3 - 99/2*i + 0 - 3/4*i**4 = 0.
-1, 0, 1, 66
Let a(z) be the first derivative of -3*z**4/4 + 30*z**3 - 675*z**2/2 - 956. Factor a(u).
-3*u*(u - 15)**2
Suppose -360 = 2111*c - 2103*c. Let u be 10 - (-18 - -21) - c/(-7). Find h such that -12/7*h**2 - 20/7 - 36/7*h + u*h**3 = 0.
-1, 5
Let d(q) be the third derivative of -q**7/280 - 161*q**6/160 - 82*q**5 - 200*q**4 - 9850*q**2 - q. Factor d(r).
-3*r*(r + 1)*(r + 80)**2/4
Let g = 404/8741 - -5700893/3933450. Let j(s) be the third derivative of 16/1575*s**7 + 0*s + g*s**5 + 0 + 2*s**2 + 4/5*s**3 + 5/3*s**4 + 2/9*s**6. Factor j(q).
2*(q + 6)**2*(4*q + 1)**2/15
Let i(k) be the first derivative of 2*k**5/35 + 5*k**4/7 + 74*k**3/21 + 60*k**2/7 + 72*k/7 + 1369. Factor i(h).
2*(h + 2)**2*(h + 3)**2/7
Let i(v) = 8*v**2 - 23*v + 59. Let s(z) = 10*z**2 - 26*z + 58. Let q(g) = 6*i(g) - 5*s(g). Determine t, given that q(t) = 0.
-8, 4
Let h = -466588 + 466592. Solve 21/8*a**h + 9/2*a**3 + 3/2 - 9/2*a - 33/8*a**2 = 0.
-2, -1, 2/7, 1
Let s be (12/34)/3 + 115178/119. Let s*a**3 + 1169*a**4 + 3 - 2500*a**4 + 32*a - 2 + 330*a**2 = 0. What is a?
-1/11, 1
Let d(s) be the first derivative of -76 + 3/2*s**4 + 4*s**2 - 4*s**3 + 0*s - 1/5*s**5. Factor d(m).
-m*(m - 2)**3
Suppose -77*g - 47*g = 99*g - 892. Let h(c) be the first derivative of -21 - 57/10*c**2 - 18/5*c + 3/4*c**g - 8/5*c**3. Factor h(n).
3*(n - 3)*(n + 1)*(5*n + 2)/5
Suppose 64*y + 686 + 459730*y**2 - 459729*y**2 - y = 0. Calculate y.
-49, -14
Let p(d) be the third derivative of d**5/30 + 9*d**4/4 - 9*d**2 - 100. Factor p(z).
2*z*(z + 27)
Let j be 1760/(-23760) + (-38)/(-27). Let u = 629/3 + -207. Factor -4/3*i + 8/3 + j*i**3 - u*i**2.
4*(i - 2)*(i - 1)*(i + 1)/3
Factor -792*v + 26*v + 3*v**3 + 90*v**2 - 247*v + 101*v.
3*v*(v - 8)*(v + 38)
Suppose x + l = -14, 3*x - 5 + 61 = -4*l. Solve x*v - 16/5*v**4 + 0 + 2*v**3 + 12/5*v**2 - 6/5*v**5 = 0.
-3, -2/3, 0, 1
Let n = -144965 + 144965. Let 0*a + 2/3*a**3 - 2/9*a**4 - 4/9*a**2 + n = 0. What is a?
0, 1, 2
Let n(t) be the second derivative of 0 + 0*t**3 - 1/12*t**5 - 5/8*t**4 + 2*t + 3/2*t**2. Let c(i) be the first derivative of n(i). Factor c(f).
-5*f*(f + 3)
Solve 0 - 545/3*m**3 + 14*m**4 - 1/3*m**5 + 708*m**2 - 540*m = 0 for m.
0, 1, 5, 18
Suppose -4*l = -5*l - w - 96, -2*w = -2*l - 188. Let b be l/90 + 0 - (-9)/6. Factor -b*o**4 + 20/9*o**2 + 4/9*o**3 + 0 + 4/3*o.
-4*o*(o - 3)*(o + 1)**2/9
Let z(i) = 1076*i + 15066. Let j be z(-14). Factor j*d**4 + 20/3*d**3 + 2/9*d**5 + 2 + 22/3*d + 92/9*d**2.
2*(d + 1)**3*(d + 3)**2/9
Let v be (-30)/18 - (-970)/15. Let d be ((-1)/(-25))/(v/315). Factor 1/5*p - 3/5*p**2 + 3/5 - d*p**3.
-(p - 1)*(p + 1)*(p + 3)/5
Factor 4/7*m + 100/7*m**2 - 80/7 - 24/7*m**3.
-4*(m - 4)*(m - 1)*(6*m + 5)/7
Let u be (-441)/42*8/(-42). Let a(q) be the second derivative of -2/5*q**u - 1/6*q**4 + 0 + 17*q + 7/15*q**3. Factor a(b).
-2*(b - 1)*(5*b - 2)/5
Let u(k) = 2*k**4 + k**3 - 2*k**2 + k + 1. Let s(m) = 33*m**4 + 465*m**3 - 50210*m**2 + 17*m + 17. Let b(d) = 3*s(d) - 51*u(d). Factor b(t).
-3*t**2*(t - 224)**2
Let w(n) be the third derivative of -n**6/30 - 4*n**5/5 - 5*n**4/6 + 44*n**3 + 496*n**2. Find g, given that w(g) = 0.
-11, -3, 2
Let m = 1096 - 1108. Let z be 0/(-3 - (7 + m)). Let 0*j + 2*j**5 - 8/3*j**2 + 10/3*j**4 + z - 8/3*j**3 = 0. Calculate j.
-2, -2/3, 0, 1
Find q, given that -6/7 - q**2 - 10/7*q**3 + 23/7*q = 0.
-2, 3/10, 1
Let p(a) = -3*a**3 + 30*a**2 - 141*a + 174. Let w(l) = 12*l**3 - 117*l**2 + 564*l - 693. Let i(q) = 9*p(q) + 2*w(q). Determine g so that i(g) = 0.
3, 4, 5
Suppose -2*j - 2 = 4*b, -973*j + 978*j + 21 = -2*b. What is u in 2/3*u**b - 1/6*u**4 + 0 + 1/3*u**3 - 4/3*u = 0?
-2, 0, 2
Solve 6884*y**2 - 12451 - 4581*y - 4*y**5 + 477*y - 224*y**3 + 899 - 468*y**3 - 132*y**4 = 0 for y.
-19, -1, 2, 4
Let g(p) be the third derivative of p**8/1512 - 44*p**7/945 - 4*p**6/45 + 13*p**5/27 + 223*p**4/108 + 10*p**3/3 + 295*p**2 - 2. Find d such that g(d) = 0.
-1, 2, 45
Let r(d) = d**3 + 222*d**2 + 431*d + 218. Let y(c) = -4*c**3 - 669*c**2 - 1291*c - 654. Let i(w) = -7*r(w) - 2*y(w). Factor i(o).
(o - 218)*(o + 1)**2
Let p(x) be the first derivative of -x**3 + 9*x - 956 + 16*x**2 + 1096 - 13*x**2. What is m in p(m) = 0?
-1, 3
Let w(u) = u**3 - 16*u**2 + 29*u - 9. Let s be w(14). Let 0*i + 12 - i**2 + s*i + 8 + 3*i = 0. What is i?
-2, 10
Solve -148*f**2 + 315*f**4 - 913 + 15*f**5 - 1480*f**3 - 1512*f**2 + 4080*f + 10*f**5 - 367 = 0 for f.
-16, -2, 2/5, 1, 4
Let f(g) be the second derivative of -g**5/110 - g**4/33 + 323*g**3/33 - 4206*g. Determine y so that f(y) = 0.
-19, 0, 17
Let k(c) = -9*c**2 - 960*c - 6. Let u(w) = 20*w**2 + 1921*w + 13. Let h(n) = 13*k(n) + 6*u(n). Let h(p) = 0. Calculate p.
0, 318
Let a(r) be the second derivative of 0 - 46*r + 1/12*r**4 + 98*r**2 + 14/3*r**3. Factor a(z).
(z + 14)**2
Suppose -2*g + 11 = -g. Let x = g + -7. Factor -33*h**2 - h**3 + x*h + 5*h**3 + 41*h**2.
4*h*(h + 1)**2
Let v be ((-1920)/(-25))/12 - 2/5. Suppose 4*s + 77 = 3*m + 57, -s + v = 2*m. Let -80/3*g**3 - 50/9*g**m - 32/9 - 368/9*g**2 - 64/3*g = 0. What is g?
-2, -2/5
Let k be (26/21)/(2554/26817). Find l, given that k - 25/2*l - 1/2*l**2 = 0.
-26, 1
Let a(w) be the first derivative of 7*w**5/30 + 15*w**4 - 52*w**3/3 - 79*w**2 - 72. Let t(o) be the second derivative of a(o). Suppose t(g) = 0. Calculate g.
-26, 2/7
Suppose n - 20 = -6*v, 118*v - n = 122*v - 10. Let l be (-2)/10*(-3 + 2). Let 0*p**2 + 0 + 0*p + l*p**v + 4/5*p**4 + 4/5*p**3 = 0. Calculate p.
-2, 0
Find f, given that -2585*f**2 + 25*f**4 - 500*f - 200*f**3 - 1637*f - 30*f**4 - 9290*f + 537*f = 0.
-18, -11, 0
Let t(m) be the third derivative of -m**7/735 - 11*m**6/105 + m**5/210 + 11*m**4/21 + 172*m**2 + 3*m. Solve t(o) = 0 for o.
-44, -1, 0, 1
Let n = 26 + -17. Let y = 11 - n. Factor -3*w**y + 3*w**3 + 34*w - 22*w - 12*w.
3*w**2*(w - 1)
Suppose 4*r - 2 = 6. Let a be 3/r*13/((-117)/12). Let i(g) = -3*g**2 + 11*g + 9. Let q(l) = -l**2 + 5*l + 4. Let t(w) = a*i(w) + 5*q(w). Factor t(f).
(f