5, -2
Let n(q) = -11*q + 26. Let a be n(2). Suppose 0*i**2 - 16*i - 2*i**4 + 6*i**2 + 6 + a*i**2 + 2*i**2 = 0. What is i?
-3, 1
Let b = -41 + 44. Let s(l) = 20*l**3 + l - 3*l**2 - 3 - 18*l**3 - 9*l**b. Let p(m) = 20*m**3 + 8*m**2 - 4*m + 8. Let i(u) = -3*p(u) - 8*s(u). Factor i(n).
-4*n*(n - 1)*(n + 1)
Solve -13 + 1/2*f**3 - 13*f**4 - 1/4*f - 1/4*f**5 + 26*f**2 = 0.
-52, -1, 1
Suppose -66 - 478 = -8*t. Solve -17*m + 2*m**2 - t - 11*m + 38 = 0 for m.
-1, 15
Suppose -3*g - 22 = -3*p - 61, 0 = -4*g + p + 43. Let l be ((15/g)/(-1))/(-5 + -1). Solve -l*a**2 + a + 0 = 0 for a.
0, 4
Let o = 545 - 528. What is i in -14*i**2 + 29*i - 63 - i + 17*i + 15*i + o*i**2 = 0?
-21, 1
Let q(i) = i**2 - 32*i + 150. Let k(v) = v - 3. Let y(f) = -6*k(f) + q(f). Let m be y(33). Let 3/4*l**5 - 9/4*l**m + 3/2*l**4 - 6*l**2 - 3*l + 0 = 0. What is l?
-2, -1, 0, 2
Suppose 0*k - 3*k - 5*z = -16, -2*z + 10 = 3*k. Suppose 2 - k - 41*u + 5*u**3 + 35*u**2 - 66*u + 17*u = 0. Calculate u.
-9, 0, 2
Let b(t) be the first derivative of -2*t**3/39 + 178*t**2/13 + 720*t/13 - 2767. What is d in b(d) = 0?
-2, 180
Let f(h) be the second derivative of h**7/70 - 30*h**2 + 5*h - 2. Let z(d) be the first derivative of f(d). Let z(n) = 0. What is n?
0
Let o(i) be the third derivative of 1/2*i**4 + 2 + 4/15*i**3 + i**2 + 7/50*i**6 + 0*i + 34/75*i**5. Find l, given that o(l) = 0.
-1, -1/3, -2/7
Factor 1343/4*a + 269/2 + 401/2*a**2 - 3/4*a**3.
-(a - 269)*(a + 1)*(3*a + 2)/4
What is s in -1587/4*s**3 - 12765*s**2 - 96 - 2211*s = 0?
-32, -2/23
Let n = 139/15 + -136/15. Let d(b) be the second derivative of 1/2*b**2 - 22*b + n*b**5 + 0 + 1/2*b**4 + 2/3*b**3 + 1/30*b**6. Factor d(a).
(a + 1)**4
Let f = 1212 - 1257. Let s(j) = 10*j + 455. Let t be s(f). Find n, given that 1/2*n**t + 3/2*n**2 + 0*n + 0 - 5/2*n**3 + 1/2*n**4 = 0.
-3, 0, 1
Suppose w = 3*l - 21 - 2, 2*l - 7 = -w. Suppose l*r - 7 - 5 = 0. Factor 7*h**2 + 3*h**r - 5 - 19*h**4 + 14*h**4.
-5*(h - 1)**2*(h + 1)**2
Let c be (-6)/(-18)*(-9)/(-2)*32/168. Solve 2 - c*o**2 - 12/7*o = 0 for o.
-7, 1
Let r(n) = 5*n**3 + 24*n**2 - 47*n + 18. Let h(g) = 4*g**3 + 23*g**2 - 46*g + 19. Let t(x) = -4*h(x) + 3*r(x). Factor t(m).
-(m - 1)**2*(m + 22)
Let a = 17/1287 - -2489/6435. Factor -12/5 + a*h**2 + 2*h.
2*(h - 1)*(h + 6)/5
Let b(l) be the first derivative of -9*l**6/14 - 603*l**5/5 - 795*l**4/4 + 787*l**3/7 + 2796*l**2/7 + 1860*l/7 - 6355. Let b(o) = 0. What is o?
-155, -1, -2/3, 1
Find s such that 169627259 - 1355666*s - 74139940 - s**3 + 261218*s + 417*s**2 + 1395*s**2 + 124861545 = 0.
604
Suppose -7*q + 0 - 21 = 0. Let j(a) = -4*a**2 + 34*a + 31. Let d(l) = 2*l**2 - 16*l - 15. Let x(m) = q*j(m) - 7*d(m). Factor x(c).
-2*(c - 6)*(c + 1)
Factor 1657 + 2594*k + 16*k**2 + 1054 - 21238*k + 1949.
4*(k - 1165)*(4*k - 1)
Let p(a) be the second derivative of -3*a**5/20 + 3*a**4/2 + 15*a**3/2 + 12*a**2 + 8*a + 24. Solve p(l) = 0.
-1, 8
Let x(p) be the second derivative of -1/60*p**6 + 4/3*p**3 + 0 + 4*p - 1/10*p**5 - 13/2*p**2 + 0*p**4. Let n(q) be the first derivative of x(q). Factor n(r).
-2*(r - 1)*(r + 2)**2
Suppose 189 = 52*g - 49*g - 2*t, 0 = -g + 2*t + 67. Factor -8643*u + 2*u**3 + 92*u**2 + 8821*u + g + 27.
2*(u + 1)**2*(u + 44)
Let h = -130 - -395/3. Let l = -1493345/6 - -248900. Factor 5*a**2 - h + l*a.
5*(a + 2)*(6*a - 1)/6
Let f(v) = -48*v**2 - 722*v + 8947. Let l(m) = 14*m**2 + 246*m - 2982. Let s(d) = -2*f(d) - 7*l(d). Factor s(p).
-2*(p - 10)*(p + 149)
Suppose 20*j + 18 = 58. Let l(v) = -v**2. Let a(c) = 7*c**2 - 70*c + 245. Let f(i) = j*l(i) + a(i). What is u in f(u) = 0?
7
Suppose d - 12 + 9 = 0. Suppose 6 = l + d. Solve 5*f - l + 225*f**2 - 4 - 1 - 2 = 0.
-2/9, 1/5
Suppose -4 = 10*z - 7*z + 5*q, -3*z + 36 = -3*q. Suppose -3 = -3*u + 3*r, 10*u - z*u - 17 = -4*r. Factor -4/7*d**2 - 1/7*d**u + 0 + 4/7*d**4 + 1/7*d.
d*(d - 1)*(d + 1)*(4*d - 1)/7
Suppose -o - 206*i = -209*i + 23, -i = -10*o + 31. Factor 1/3*t**o - 16/3 + 8/3*t**3 + 5*t**2 - 8/3*t.
(t - 1)*(t + 1)*(t + 4)**2/3
Let m = 113519 - 227037/2. Factor 11/2 - 11/2*l**2 - 1/2*l**3 + m*l.
-(l - 1)*(l + 1)*(l + 11)/2
Let p(g) be the third derivative of -3*g**7/175 - 2*g**6/15 + 2*g**5/15 + 8*g**4/3 + 64*g**3/15 + 200*g**2 - 1. What is n in p(n) = 0?
-4, -2, -4/9, 2
Let m(b) be the third derivative of -b**5/45 - b**4/6 + 20*b**3/9 + 4*b**2 + 50. Solve m(n) = 0.
-5, 2
Let r = -74957 + 74959. Factor -2/7*d**r + 0*d + 3/7*d**4 + 1/7*d**3 + 0.
d**2*(d + 1)*(3*d - 2)/7
Let m(k) be the first derivative of k**3/15 + 1871*k**2/5 + 3500641*k/5 + 6474. Suppose m(t) = 0. Calculate t.
-1871
Let a be 2636/(-24)*-6*-1. Let q = 661 + a. Let 7/4*i**q + 0 + 0*i + 1/4*i**3 = 0. Calculate i.
-7, 0
Let l(s) be the second derivative of 91*s**6/240 + 191*s**5/160 + s**4/12 - 5*s**3/12 - 221*s - 1. Determine y so that l(y) = 0.
-2, -5/13, 0, 2/7
Let c(x) = -4*x**3 - 3*x**2 + x + 4. Let v be c(-1). Suppose -29*z - 19 = -2*d - 34*z, d + v*z = 14. Find i, given that 0 - 1/4*i + 0*i**d + 1/4*i**3 = 0.
-1, 0, 1
Let j(q) = 11*q**3 - 31*q**2 - 160*q + 9. Let d(h) = 364*h**3 + 0 - 2 - 367*h**3 + 40*h + 8*h**2. Let w(b) = -9*d(b) - 2*j(b). Determine k, given that w(k) = 0.
-2, 0, 4
Let n(a) be the third derivative of 0 - 8/3*a**4 - 13/15*a**5 - 1/15*a**6 - 10/3*a**3 + 105*a**2 - a. Determine l, given that n(l) = 0.
-5, -1, -1/2
Let d(x) be the first derivative of -x**6/2 + 33*x**5/5 - 129*x**4/4 + 73*x**3 - 84*x**2 + 48*x - 5776. Find z, given that d(z) = 0.
1, 4
Let v = -70635 - -70635. Let 0*u - 30/7*u**3 + v + 3/7*u**4 - 33/7*u**2 = 0. Calculate u.
-1, 0, 11
Let w be 75125/5000 - (-60)/(-96). What is i in w*i + 16/5 - 14/5*i**4 + 52/5*i**2 - 18/5*i**3 = 0?
-2, -1, -2/7, 2
Factor 384*q + 39*q**2 - 3/2*q**3 + 816.
-3*(q - 34)*(q + 4)**2/2
Let f(k) be the first derivative of 157*k**3 + 293*k**5 - 232 + 20*k**4 - 17*k**3 + 360*k**2 - 292*k**5. Factor f(v).
5*v*(v + 4)*(v + 6)**2
Let g(o) be the third derivative of -o**6/900 - 19*o**5/225 - 17*o**4/12 - 10*o**3 + 2588*o**2 - 1. Suppose g(p) = 0. What is p?
-30, -5, -3
Let k = -95744 + 95744. Find i, given that k - 4/5*i**2 + 0*i + 4/5*i**4 + 2/5*i**3 - 2/5*i**5 = 0.
-1, 0, 1, 2
Let c(b) be the second derivative of -b**7/420 - b**6/10 - 9*b**5/5 - 18*b**4 + 235*b**3/6 + 3*b - 9. Let f(n) be the second derivative of c(n). Factor f(r).
-2*(r + 6)**3
Let f be ((-47)/(-94))/((-1)/5) + (-117)/(-42). Let g be 26/35 + 24/(-40). What is y in -5/7*y**4 - 9/7*y**3 - f*y - y**2 + 0 - g*y**5 = 0?
-2, -1, 0
Let o(z) be the second derivative of z**6/15 + 11*z**5/5 + 19*z**4/6 - 14*z**3 - 768*z. Solve o(c) = 0.
-21, -2, 0, 1
Factor 0 - 1/5*t**2 - 114/5*t.
-t*(t + 114)/5
Let n(b) be the first derivative of b**6/24 - 3*b**5/4 - 91*b**4/16 - 173*b**3/12 - 69*b**2/4 - 10*b + 632. Suppose n(s) = 0. What is s?
-2, -1, 20
Let k(h) = 69*h**3 - 6*h**2 + 30. Let l(y) = -3*y**3 + y**2 - y - 2. Let j(s) = k(s) + 15*l(s). Factor j(v).
3*v*(v + 1)*(8*v - 5)
Let w(r) = -67*r - 2546. Let u be w(-38). Let q(k) be the second derivative of -9/16*k**3 + 5/8*k**2 + 5/24*k**4 + 23*k - 3/160*k**5 + u. Factor q(l).
-(l - 5)*(l - 1)*(3*l - 2)/8
Suppose 0 = -27*i + 20*i. Let t(m) be the first derivative of 2/3*m**3 + i*m**4 + 0*m**2 - m + 2 - 1/5*m**5. What is u in t(u) = 0?
-1, 1
Let w(y) be the first derivative of y**5/40 - 35*y**4/8 + 1225*y**3/4 + 36*y**2 - 10. Let a(p) be the second derivative of w(p). Factor a(g).
3*(g - 35)**2/2
Let r(h) be the first derivative of h**3/30 - 837*h**2/20 + 418*h/5 + 7038. Determine f, given that r(f) = 0.
1, 836
Let g(i) = 33 - 1 + i**3 - 7 - 9*i**2 - 12*i. Let p be g(10). Find k such that 33*k**3 + 26*k**3 - p*k - 54*k**3 - 20*k**4 + 20*k**2 = 0.
-1, 0, 1/4, 1
Let l(i) be the third derivative of -57*i**2 + 0*i - 1/480*i**6 + 1/120*i**5 - 23/840*i**7 + 0 - 5/336*i**8 + 0*i**3 + 0*i**4. Solve l(x) = 0 for x.
-1, -2/5, 0, 1/4
Let k(b) be the first derivative of b**4/4 - 5*b**3 - 144*b**2 - 972*b - 912. Factor k(w).
(w - 27)*(w + 6)**2
Let p(g) = -2*g**4 + 23*g**3 - 77*g - 76. Let m(j) = -4*j**4 + 24*j**3 - 76*j - 80. Let d(o) = -3*m(o) + 4*p(o). Suppose d(c) = 0. What is c?
-4, -2, -1, 2
Determine c, given that -2/13*c**2 - 70/13 - 24/13*c = 0.
-7, -5
Let j(u) be the first derivative of -2/3*u**3 + 0*u**2 + 8*u - 43. Let j(b) = 0. What is b?
-2, 2
Let c(z) = -z**3 - z. Let t(