. Calculate f.
-1/5, 1
Let p(h) = -112*h - 4590. Let j be p(-41). Suppose 0 + 3/2*l + 0*l**j + 3/8*l**4 - 9/8*l**3 = 0. What is l?
-1, 0, 2
Suppose 21*q + 5*q**2 + 164*q - 335 - 25*q - 5 = 0. Calculate q.
-34, 2
Let l = -63 - -67. Let g = l - -16. Let 5*d - 43*d + g + 5*d**3 + 10*d**2 + 3*d = 0. Calculate d.
-4, 1
Let s(a) = -5*a**3 + 23*a**2 - 32*a - 9. Let t(k) = 26*k**3 - 116*k**2 + 160*k + 48. Let r(c) = 16*s(c) + 3*t(c). Solve r(u) = 0.
0, 2, 8
Let x be (-2)/((11 + -17)/6 - 0). Let l(m) be the second derivative of 15*m - 1/6*m**3 + 0 - 1/6*m**4 + 0*m**x - 1/20*m**5. Find v, given that l(v) = 0.
-1, 0
Let t(f) be the second derivative of -39/20*f**5 + 1 - 1/10*f**6 - 6*f**3 - 23/2*f**4 + 108*f**2 - 92*f. What is i in t(i) = 0?
-6, -2, 1
Let a(s) = 47*s - s**3 - 22 + 122*s - 4*s**2 + 8*s**2 + 13*s**2. Let d be a(24). Find u such that -28/5*u - 16/5*u**d + 8/5 = 0.
-2, 1/4
Suppose 0 = 16*z - 9*z - 63. Factor -15 - 2*p - 129*p**2 - z + 131*p**2.
2*(p - 4)*(p + 3)
Let k be ((-502)/6 + -3)/((-6)/(-27)). Let h be (-1)/(-3)*10*(-468)/k. Determine w so that -h*w + 22 + 2/11*w**2 = 0.
11
Let n(v) = -v**2 + 13*v. Let s be n(14). Let a be s/(-4) - (-13)/(-26). Determine r so that -34*r**a + 5*r**4 + 10*r**2 + 0*r**4 + 19*r**3 + 0*r**3 = 0.
0, 1, 2
Find u such that -524768*u**4 + 0*u**5 + 524780*u**4 - 12*u**2 + 2*u**5 - 16*u + 14*u**3 = 0.
-4, -2, -1, 0, 1
Let o(r) = 20*r**2 + 346*r + 13496. Let h(y) = -y**2 - y - 2. Let v(s) = 36*h(s) + 2*o(s). Let j(w) = -1. Let k(m) = -24*j(m) - v(m). Factor k(t).
-4*(t + 82)**2
Let n = 483 - 481. Suppose -72*u**4 + 4*u**5 + 68*u**4 + n*u**3 - 2*u**3 = 0. Calculate u.
0, 1
Determine k so that -286/9*k**2 - 160/3*k - 25 - 1/9*k**4 - 32/9*k**3 = 0.
-15, -1
Let s be (-126)/(-16) + 39/104. Let l(m) be the first derivative of -21/8*m**4 + 3*m + 8*m**3 - s*m**2 + 6. Let l(k) = 0. What is k?
2/7, 1
Factor 39 - 1/4*r**2 - 5*r.
-(r - 6)*(r + 26)/4
Let c = -166233/5 + 498704/15. Factor -c*i + 5/6*i**2 + 0 - 2/3*i**3 + 1/6*i**4.
i*(i - 2)*(i - 1)**2/6
Let p(n) be the second derivative of n**7/56 + 33*n**6/40 - 3*n**5/40 - 33*n**4/8 + n**3/8 + 99*n**2/8 + 4*n. What is j in p(j) = 0?
-33, -1, 1
Let z(k) be the first derivative of k**5/5 + 870*k**4 + 1513800*k**3 + 1317006000*k**2 + 572897610000*k + 9571. Factor z(j).
(j + 870)**4
Let x(a) = a**3 + 13*a**2 + 4*a + 11. Let u be x(-13). Let v = 45 + u. Find t, given that -2 + t**4 - 7 + 8*t**2 - 6*t + 0*t**v + 6*t**3 = 0.
-3, -1, 1
Find i, given that -10 + 158*i + 397*i - 24*i**2 - 1526 - 56*i**3 - 11*i + 52*i**3 = 0.
-16, 4, 6
Suppose 9*a = 3*a - 30. Let l(u) = -u**4 - u**2. Let x(v) be the first derivative of -7*v**5/5 + 2*v**4 - 5*v**3/3 - 14. Let q(d) = a*l(d) + x(d). Factor q(b).
-2*b**3*(b - 4)
Let z(n) be the third derivative of -n**8/70560 - n**7/8820 + n**5/60 + n**4/3 + 13*n**2. Let h(d) be the third derivative of z(d). Let h(b) = 0. Calculate b.
-2, 0
Let l = -2960 + 20729/7. Let o(h) be the first derivative of 3/7*h**2 - l*h - 1/21*h**3 - 3. Factor o(q).
-(q - 3)**2/7
Find d, given that -11/2*d**2 - 1/2*d**3 + 109/2*d + 119/2 = 0.
-17, -1, 7
Let y = 776 + -768. Let c(q) = 24*q - 189. Let m be c(y). Let 8/21*p**2 - 8/21 - 2/21*p**m + 2/21*p = 0. Calculate p.
-1, 1, 4
Let d(s) be the third derivative of 3*s**8/140 + 2*s**7/5 + 301*s**6/150 + 311*s**5/75 + 61*s**4/15 + 32*s**3/15 - 49*s**2 - s - 14. What is c in d(c) = 0?
-8, -2, -1, -1/3
Let l(b) = b**3 - 10*b**2 + 13*b + 25. Let c be l(8). Let n be (2 + (-2 - 0))/c. What is z in 0*z + n + 5/3*z**3 - 5/3*z**2 = 0?
0, 1
Let v be 0 + 20/(-5) + (44 - 0). Factor 86*x**2 + 19*x**2 + 4*x**4 + x**3 + 147*x - v*x**3 - x**4.
3*x*(x - 7)**2*(x + 1)
Let s(a) be the third derivative of -a**6/120 + a**4/24 + 4*a**3/3 + 13*a**2. Let m be s(0). Find g such that -5*g**3 - 14*g + 26*g + m*g = 0.
-2, 0, 2
Let c = 27 + 14. Let r = 43 - c. Suppose 2*v**2 + 4*v**2 - 4*v**2 + 2*v**r - 4 = 0. Calculate v.
-1, 1
Suppose 6*d = 1 + 11. Suppose -32 - 7*n**d + 92*n + 40*n**2 - 21*n**2 = 0. What is n?
-8, 1/3
Suppose -11/3*j**2 + 31*j - 1/3*j**3 - 51 = 0. What is j?
-17, 3
Suppose -l - l - 3*p + 97 = 0, p = 3*l - 129. Let d = l - 570/13. Find m, given that d*m**2 + 50/13 + 20/13*m = 0.
-5
Find d such that -11 + 1/6*d**2 - 31/6*d = 0.
-2, 33
Let f = -632 + 652. Suppose 11*l - z - 13 = 7*l, 0 = -5*l + 2*z + f. Factor 0*t + 0 - 1/2*t**l.
-t**2/2
Suppose -4*r + r = -6. Suppose 5*b - 54 = 3*l, 62 = 7*b - r*b + l. Suppose 13 - 17 + b - 8*m**4 - 54*m**2 + 38*m**3 + 16*m = 0. What is m?
-1/4, 1, 2
Factor -66*z**2 - 63*z - 64 + 110 - 46 - 3*z**3.
-3*z*(z + 1)*(z + 21)
Let t(c) = -6*c**4 + 11*c**3 + 17*c**2. Let x = -208 - -202. Let h(y) = 3*y**4 - 5*y**3 - 8*y**2. Let n(o) = x*t(o) - 13*h(o). Let n(b) = 0. Calculate b.
-1, 0, 2/3
Let a(m) = -11*m**2 - 42*m - 97. Let y(l) = 58*l**2 + 214*l + 484. Let p(d) = 16*a(d) + 3*y(d). Factor p(i).
-2*(i + 5)*(i + 10)
Let d(u) be the third derivative of 0*u - 19/945*u**7 + 0*u**3 + 2/27*u**4 - 20*u**2 - 1/90*u**6 + 1/216*u**8 + 0 + 14/135*u**5. What is z in d(z) = 0?
-1, -2/7, 0, 2
Let l = 1308/985 - -16/2955. Solve l*i - 1/3*i**2 + 0 = 0 for i.
0, 4
Let j(g) be the first derivative of 4*g**6/51 - 86*g**5/85 + 12*g**4/17 + 130*g**3/51 - 50*g**2/17 - 1753. Determine r, given that j(r) = 0.
-5/4, 0, 1, 10
Suppose 0 = -4*w - 2*b - 3*b - 10, -2*b - 4 = 4*w. Suppose w = 2*h - 31 + 25. Factor 2*m**5 - 3*m**3 + 3*m**h - 6*m**4 + 4*m**3 + 0*m**5.
2*m**3*(m - 2)*(m - 1)
Factor -106342 + 16*v**2 - 106070 - 100*v + 0*v**2 + 212188.
4*(v - 8)*(4*v + 7)
Solve 12/7 - 598/7*f**2 - 710/7*f - 120/7*f**3 = 0 for f.
-3, -2, 1/60
Let l be -20*1/(-6) + (-1)/3. Suppose l*i + 25 = 34. Find p such that -5*p - 3*p**4 + 2*p + 3*p + 6*p**i + 9*p**2 = 0.
-1, 0, 3
Let 3/5*y**3 - 7/5*y**2 + 8/5 - 22/5*y = 0. What is y?
-2, 1/3, 4
Let t(b) = 3*b**3 - 3*b**2 - 12*b + 2. Let n(p) = 4*p**3 - 2*p**2 - 13*p. Let q(u) = -4*n(u) + 5*t(u). Let w be q(-5). Factor w + 4/5*g + 2/5*g**2.
2*g*(g + 2)/5
Let w be 2/(-5)*(-12 - (5 - 12)). Factor 12*n**w + 23*n**3 - 214 + 66 + 9*n**3 + 68 - 32*n + 68.
4*(n - 1)*(n + 1)*(8*n + 3)
Let t(w) be the first derivative of -1/18*w**4 + 0*w + 0*w**2 - 2/45*w**5 + 4/9*w**3 + 18. Determine z so that t(z) = 0.
-3, 0, 2
Let n(g) be the first derivative of -3*g**4/4 + 9*g**3 + 60*g**2 - 144*g - 279. Factor n(o).
-3*(o - 12)*(o - 1)*(o + 4)
Let i(m) be the second derivative of -25*m**4/12 - 41*m**3/6 + 17*m**2/2 + 65*m. Let n(b) = 3*b**2 + 5*b - 2. Let d(v) = 6*i(v) + 51*n(v). Factor d(x).
3*x*(x + 3)
Let f(u) = -u**3 + 114*u**2 - 3248*u - 57. Let k be f(57). Factor 3/5*c - 1/2*c**2 - 1/10*c**3 + k.
-c*(c - 1)*(c + 6)/10
Let i(g) = g**2 + 18*g + 4. Let l be i(-18). Suppose -2*q - 132 = -l*q. Find t such that -q + 3*t**2 + 66 - 2*t**2 = 0.
0
Let z be (((-15)/(-8))/(-1))/(-15 + (-275)/(-20)). Factor -9/2*f**3 + 0 + 0*f + 3*f**2 + z*f**4.
3*f**2*(f - 2)*(f - 1)/2
What is b in -4719 - 28*b**2 + 1/2*b**3 - 1595/2*b = 0?
-11, 78
Let m(n) = n**4 - 4*n**3 - 5*n**2 + 2*n + 6. Let y be (-24)/11 + (-6)/(-33). Let i(q) = -q**3 - q**2 - q + 1. Let v(p) = y*i(p) + m(p). Solve v(x) = 0.
-1, 2
Let k(s) = -s**2. Let o(h) be the third derivative of h**5/30 + 5*h**4/12 - 11*h**3/6 - 47*h**2 + 3*h. Let l(v) = 4*k(v) + 4*o(v). Factor l(n).
4*(n - 1)*(n + 11)
Let k = -967 + 5803/6. Let m(q) be the second derivative of 11/20*q**5 + 1/6*q**7 + 0*q**2 + 0*q**3 + k*q**4 + 0 + 23*q + 8/15*q**6. Factor m(a).
a**2*(a + 1)**2*(7*a + 2)
Let s(r) be the first derivative of 5*r**3/12 - 90*r**2 - 725*r/4 + 704. Factor s(f).
5*(f - 145)*(f + 1)/4
Let u(i) = -i**2 - 2*i + 5. Let p be u(-3). Suppose -43*b - 7 = 20 - 27. Factor -1/6*t**p + 1/6*t**4 + b + 1/6*t**3 - 1/6*t.
t*(t - 1)*(t + 1)**2/6
Factor -2/7*d**4 + 96/7*d**2 + 0 - 18/7*d**3 - 104/7*d.
-2*d*(d - 2)**2*(d + 13)/7
Let c(b) be the first derivative of -1/4*b**4 - 5/2*b**2 + 2*b + 46 + 4/3*b**3. Let c(x) = 0. What is x?
1, 2
Let p(b) be the first derivative of 3/5*b**4 - 14/15*b**3 + 0*b**2 + 55 + 0*b + 2/25*b**5. Factor p(r).
2*r**2*(r - 1)*(r + 7)/5
Let q = -297 - -308. Let 7*m**2 - 13*m + m**2 + 49*m - 108 - q*m**2 = 0. What is m?
6
Let m be (-4)/8 + (-6)/4 + 49. Let v = m + -43. Solve -6*b - 9*b**2 - 3/2*b**v - 6*b**3 - 3/2 = 0.
-1
Let l(c) = -c**2 + 3*c + 2451. Let m be l(-48). Let k(q) be the second