- 16/11 - 3*l**2 + 40/11*l = 0?
1, 4
Let o = 2649080/9 + -294278. Suppose 68/9*x - 2/9*x**2 - o = 0. What is x?
17
Let f = -5 + 7. Suppose 332 = 31*z + 115. Find y, given that 2*y - z*y + f*y + y**2 = 0.
0, 3
Suppose -138/5 + 2/15*b**2 + 412/15*b = 0. What is b?
-207, 1
Suppose 3*l = 2*h + 486, 0 = 7*l - 22510*h + 22509*h - 1123. Suppose -336 - l*g - 76/3*g**2 - 4/3*g**3 = 0. What is g?
-7, -6
Let s(m) = -m**3 + 12*m**2 + 57*m - 681. Let f be s(12). Factor 2*w**3 - f + 29/2*w - 21/2*w**2.
(w - 3)*(w - 2)*(4*w - 1)/2
Let q(u) = -62*u**3 + 74*u**2 - 722*u + 1950. Let t(c) = -16*c**3 + 4*c**2 + 2*c. Let k(v) = -q(v) + 4*t(v). Factor k(g).
-2*(g - 5)**2*(g + 39)
Let g(b) = -3*b**4 - b**3 + b**2 - b - 1. Let z(u) = u**5 - 63*u**4 + 615*u**3 + 943*u**2 - 3540*u + 2024. Let y(q) = -4*g(q) + z(q). What is a in y(a) = 0?
-3, 1, 26
Find k such that 0 - 1/4*k**4 + 1/4*k**2 + 273/4*k**3 - 273/4*k = 0.
-1, 0, 1, 273
Suppose -40 = 4*m + 3*i, 2*i = 4*m - i + 40. Let b be (((-32)/m)/2)/(30/75). Let 8*s**b - 12 - 8 + 20 - 32*s**5 + 20*s**3 + 4*s**2 = 0. What is s?
-1/2, -1/4, 0, 1
Let g(i) be the second derivative of -1/20*i**5 - 6*i + 0*i**3 + 0*i**2 + 1/4*i**4 + 2. Factor g(c).
-c**2*(c - 3)
Solve 18/7*k + 40/7 - 38/7*k**2 - 2/7*k**4 - 18/7*k**3 = 0.
-5, -4, -1, 1
Let j(k) = k**2 + 5*k - 2. Let g(w) = w**2 + 4 - 4*w**2 + 4*w - 11*w - 3*w - w**3. Let z(r) = 2*g(r) + 5*j(r). Factor z(h).
-(h - 1)*(h + 2)*(2*h - 1)
Suppose 9*p + 4*p - 65 = 0. Let n(r) = 5*r**2 - 65*r - 85. Let l(x) = 2*x**2 - 32*x - 43. Let o(w) = p*l(w) - 3*n(w). Factor o(t).
-5*(t - 8)*(t + 1)
Let k(r) be the third derivative of r**5/30 - 538*r**4/3 + 717*r**3 - 8031*r**2. Factor k(f).
2*(f - 2151)*(f - 1)
Let i = 165/4 - 41. Let j(t) be the third derivative of i*t**4 - 5/6*t**3 + 0 - 1/60*t**5 - 8*t**2 + 0*t. Factor j(z).
-(z - 5)*(z - 1)
Let g(w) be the second derivative of -w**6/240 + w**5/10 - w**4 - 31*w**3/6 - 73*w. Let q(f) be the second derivative of g(f). Factor q(k).
-3*(k - 4)**2/2
Let a(y) = 11*y**3 - 21*y**2 + 10*y. Let l(f) = 6*f - f + 7*f**2 + 5*f**3 - 17*f**2. Let g(n) = -4*a(n) + 10*l(n). Factor g(t).
2*t*(t - 1)*(3*t - 5)
Determine g so that 45 + 32*g + 9*g**3 - 67*g**2 + 19*g - 19 + g**4 + 100 = 0.
-14, -1, 3
Suppose 24 = -476*s + 488*s. Let u(y) be the third derivative of -3/160*y**6 + 15*y**s - 1/280*y**7 - 1/40*y**5 + 0 + 0*y**3 + 0*y**4 + 0*y. Factor u(b).
-3*b**2*(b + 1)*(b + 2)/4
Let w(s) be the first derivative of -2*s**3/15 + 1050*s**2 - 2756250*s - 4643. What is k in w(k) = 0?
2625
Let a(v) = -19*v**4 - 403*v**3 - 1200*v**2 - 1217*v - 406. Let l(w) = 8*w**4 + 202*w**3 + 600*w**2 + 606*w + 202. Let p(s) = 4*a(s) + 10*l(s). Factor p(d).
4*(d + 1)**3*(d + 99)
Let t = 43 + -40. Suppose 12 + 12 + 6*j**3 - t*j**3 + 3*j**2 - 17*j - 13*j = 0. Calculate j.
-4, 1, 2
Let l(v) be the second derivative of -v**5/60 + 3*v**4/8 - 10*v**3/3 - 57*v**2/2 - 127*v. Let x(c) be the first derivative of l(c). Solve x(o) = 0 for o.
4, 5
Let n(r) be the first derivative of -r**4/14 + 30*r**3/7 - 86*r**2/7 + 1451. Factor n(l).
-2*l*(l - 43)*(l - 2)/7
Let k be -13 - (-187)/(-21 + 32). Let z(w) be the third derivative of -14*w**2 - 1/21*w**3 + 0*w**k + 0 + 0*w + 1/210*w**5. Solve z(g) = 0.
-1, 1
Let l(n) be the third derivative of -4 + 0*n - 2*n**2 + 0*n**3 + 1/60*n**5 + 7/24*n**4. Factor l(t).
t*(t + 7)
Factor 1/3*d**2 - 16/3 + 2*d.
(d - 2)*(d + 8)/3
Let n(d) = -7*d**3 - 2*d**2 - 5*d + 8. Let a be -38 - -31 - (0 - 1). Let m(s) = -8*s**3 - s**2 - 5*s + 7. Let r(c) = a*m(c) + 7*n(c). Factor r(v).
-(v - 1)*(v + 2)*(v + 7)
Let v(q) = -q**2 - 108*q + 2724. Let z be v(21). Let k(a) be the first derivative of -32/3*a**3 + 10*a**5 + z*a**4 - 30*a**2 - 18*a - 16. Solve k(h) = 0.
-1, -3/5, 1
Let p(c) be the first derivative of 4*c**5/35 - 20*c**4/7 + 68*c**3/7 + 144*c**2 + 1728*c/7 + 386. Determine q, given that p(q) = 0.
-3, -1, 12
Let g(d) = -62*d**2 + 286*d. Let p(c) = 5*c**2 - 24*c. Let w(l) = -6*g(l) - 75*p(l). Factor w(u).
-3*u*(u - 28)
Find l, given that 745*l**3 + 814*l**3 - 318*l**2 - 12*l**5 - 2275*l**3 + 827*l**3 + 39*l**4 + 72*l = 0.
-3, 0, 1/4, 2, 4
Factor -6/5*f + 16/5 + 1/10*f**2.
(f - 8)*(f - 4)/10
Let m(x) be the second derivative of x**6/15 - 19*x**5/28 + 61*x**4/84 + 16*x**3/21 - 6*x**2/7 - 30*x. Let m(u) = 0. Calculate u.
-1/2, 2/7, 1, 6
Let l(k) be the second derivative of k**5/40 - 43*k**4/8 + 503*k**3/12 - 375*k**2/4 - 14059*k. Solve l(r) = 0.
1, 3, 125
Let x(m) = 7*m**3 - 53235*m**2 + 9*m**5 + 53235*m**2 - 5 + 11*m**4. Let z(l) = 4*l**5 + 6*l**4 + 4*l**3 - 2. Let c(g) = 2*x(g) - 5*z(g). Factor c(i).
-2*i**3*(i + 1)*(i + 3)
Let y = -46 + 43. Let f be y + (-12)/(2 + -4). Factor -4/7*d**5 + 0 + 20/7*d**f - 4/7*d**4 - 12/7*d**2 + 0*d.
-4*d**2*(d - 1)**2*(d + 3)/7
Find s, given that 712*s**2 + 483*s - 868 - 4*s**5 - 1077*s**4 + 1233*s**4 - 1016*s**3 + 537*s = 0.
-1, 1, 7, 31
Suppose -19 = 4*u + 17. Let m be (1 - (-1 - -2))*3/u. Factor m + 0*c**2 + 2/15*c - 2/15*c**3.
-2*c*(c - 1)*(c + 1)/15
Let c(h) = 216*h**2 + 24531*h + 7186686. Let o(x) = 61*x**2 + 7009*x + 2053339. Let i(z) = -11*c(z) + 39*o(z). What is u in i(u) = 0?
-585
Let f(y) be the third derivative of y**8/171360 + y**7/42840 - y**6/3060 + 91*y**5/30 - 27*y**2 + 5*y. Let n(o) be the third derivative of f(o). Factor n(x).
2*(x - 1)*(x + 2)/17
Let w = 5139 + -5139. Let s(o) be the first derivative of 3*o**2 - 3/2*o**4 + o**3 + w*o + 12 - 3/5*o**5. Factor s(l).
-3*l*(l - 1)*(l + 1)*(l + 2)
Let h(g) be the second derivative of -5*g**7/126 + g**6/6 + 19*g**5/6 + 10*g**4/3 - 160*g**3/9 - 263*g. Solve h(o) = 0 for o.
-4, -2, 0, 1, 8
Let v(k) = k**3 - k**2 - k. Let t(b) = 2*b**3 - 30*b**2 + 46*b - 8. Let c be 11/((-44)/(-80))*4/(-8). Let s(q) = c*v(q) - t(q). Suppose s(p) = 0. What is p?
1/3, 1, 2
Suppose -29 = 15*q - 89. Let -79*j + 61*j**2 - q*j**2 + 3*j**3 + 19*j = 0. Calculate j.
-20, 0, 1
Let p be 11 + 6/4*(28/147)/((-28)/686). Determine n, given that 0*n + 0*n**3 - 12*n**2 + 3/2*n**p + 24 = 0.
-2, 2
Let h = -139 - -143. Factor -59*m**3 + 11*m**3 + 24*m**2 + 59*m - 3*m**5 - 48 - 11*m + 21*m**h.
-3*(m - 2)**4*(m + 1)
Factor 9 + 21*x + 5/4*x**3 + 43/4*x**2.
(x + 2)*(x + 6)*(5*x + 3)/4
Let w(q) = 2*q + 2*q - 4*q + 6 - 3*q**2. Let u(s) be the first derivative of 3*s**3 - 17*s - 13. Let d(r) = 3*u(r) + 8*w(r). Factor d(m).
3*(m - 1)*(m + 1)
Let w be 12/10*(58/6 + 7). Let u(a) = a**2 - 23*a + 65. Let n be u(w). Factor 0 + 10/7*m**3 + 4/7*m**2 + 2/7*m**n + 8/7*m**4 + 0*m.
2*m**2*(m + 1)**2*(m + 2)/7
Let n(k) = -30*k + 32. Let j be n(1). Find d, given that -10*d**3 - j*d**2 + 40*d**4 + 0*d**3 + 5*d**3 - 12*d**3 - 21*d**5 = 0.
-2/21, 0, 1
Let y(h) be the second derivative of h**5/50 - 13*h**4/30 + 18*h**3/5 - 72*h**2/5 - 403*h. Factor y(i).
2*(i - 6)*(i - 4)*(i - 3)/5
Let z(q) = -q**2 - 249*q + 18912. Let r be z(61). Factor -1/3*s**3 - 4 - s**r + 16/3*s.
-(s - 2)*(s - 1)*(s + 6)/3
Let p(x) be the third derivative of -1/7*x**3 + 0 + 1/210*x**5 + 1/42*x**4 + 15*x**2 + 2*x. Find k such that p(k) = 0.
-3, 1
Let o(h) be the second derivative of -3*h**5/40 + 15*h**4/4 - 57*h**3/4 + 21*h**2 + 432*h. Factor o(u).
-3*(u - 28)*(u - 1)**2/2
Suppose 8850*z - 32013*z**3 + 32018*z**3 - 810*z**2 + 23955*z = 0. What is z?
0, 81
Suppose 5*a - 635 = -44*v + 39*v, 4*v + 388 = 3*a. Find w such that -5*w**2 - a*w - 5*w**2 + 6*w**2 - w**2 - 42*w = 0.
-34, 0
Suppose -1818 - 224 = 191*n - 771*n + 858. Factor -54872/11*w + 105412/11*w**2 + 8550/11*w**3 + 2/11*w**n + 227/11*w**4 + 0.
w*(w + 38)**3*(2*w - 1)/11
Let 111/4*n + 0*n**2 - 1/4*n**3 - 55/2 = 0. Calculate n.
-11, 1, 10
Let y(b) = b - 19. Let r be y(19). Suppose r = 31*s - 38*s + 14. Factor -5/3*d + 1/3*d**2 + s.
(d - 3)*(d - 2)/3
Factor 80*b + 896/3 + 4/3*b**2.
4*(b + 4)*(b + 56)/3
Suppose -5*t = -4*l + 19, 4*t - 2 = 2. Suppose 0 = 65*q - l*q. Solve 2*h**3 + 0*h - 2/3*h**5 + q*h**4 - 4/3*h**2 + 0 = 0.
-2, 0, 1
Let b(a) be the first derivative of -a**6/6 + 12*a**5/5 - 31*a**4/4 - 4*a**3 + 16*a**2 - 8626. Determine y so that b(y) = 0.
-1, 0, 1, 4, 8
Let j = -21 - -19. Let d be j*(-8 - 150/(-24)). What is m in -7/2*m**4 - 1/2*m**5 - d*m**3 + 4*m + 23/2*m**2 - 8 = 0?
-4, -1, 1
Suppose -12*q + 95 = 23. Factor 3 - q*u + 9 - 3*u**2 + 12.
-3*(u - 2)*(u + 4)
Let n = -109172 - -109175. Find c such that 3*c*