m be p(21). Suppose 0 = -2*x - 4*g - 2, -5*g = -2*x + m + 11. Find n, given that 3*n**2 + 0*n + 0 - 3/5*n**x = 0.
0, 5
Let f(i) = 9*i**2 + 105 - 8*i + 107 - 10*i**2 - 79. Let a be f(-16). Let -32/3 - 146/3*g**2 - 86/3*g**3 - 112/3*g - 2/3*g**a - 22/3*g**4 = 0. What is g?
-4, -1
Let s(u) be the first derivative of 0*u + 2/5*u**5 - 2/3*u**3 + 1/2*u**4 - 31 - u**2. Let s(q) = 0. What is q?
-1, 0, 1
Suppose -4163 = -5*m - 2*l, 6*l = 2*l + 16. Let f = 834 - m. Let 0*x - 2/5*x**4 - 8/5*x**f + 0 - 6/5*x**2 = 0. Calculate x.
-3, -1, 0
Let n(l) be the third derivative of l**5/15 - 17*l**4/2 + 376*l**3/3 + 592*l**2 - l. Factor n(b).
4*(b - 47)*(b - 4)
Solve -4*i - 200*i**4 + 198*i**4 - 10*i**2 - 55*i**3 + 47*i**3 = 0.
-2, -1, 0
Let g = 68152/255 + -13610/51. Let -2/5*h - 1/5*h**2 - g*h**4 + h**3 + 0 = 0. What is h?
-1/2, 0, 1, 2
Let v(g) be the first derivative of 5*g**4/4 + 65*g**3 + 185*g**2 + 5282. Factor v(y).
5*y*(y + 2)*(y + 37)
Factor 6/19*w**4 - 4/19*w**3 + 0*w**2 + 0*w - 2/19*w**5 + 0.
-2*w**3*(w - 2)*(w - 1)/19
Let s(g) be the third derivative of -g**8/131040 - g**7/5460 - g**6/520 - g**5/30 - g**4/24 + 60*g**2. Let k(a) be the third derivative of s(a). Factor k(b).
-2*(b + 3)**2/13
Let w = 67 + -65. Suppose w*i = i + 2. Suppose -16/7*p**i - 4/7*p**3 - 8/7 - 20/7*p = 0. What is p?
-2, -1
Let n(r) be the third derivative of -r**6/120 + 23*r**5/60 - 5*r**4/2 - 14*r**2 + 23*r. Factor n(c).
-c*(c - 20)*(c - 3)
Let n(y) be the third derivative of y**6/120 + 7*y**5/15 - 35*y**4/24 - 29*y**3 + 352*y**2 + 5. Factor n(p).
(p - 3)*(p + 2)*(p + 29)
Factor 0 + 3/5*b**5 + 928/5*b**4 + 1092727/5*b + 19158*b**3 + 3310008/5*b**2.
b*(b + 103)**3*(3*b + 1)/5
Suppose u = -5*r + r + 11, -4*u - 4*r = -8. Let a(t) = t**2 + 1. Let p(n) = -5*n**3 - 5*n**2 + 35*n + 65. Let h(q) = u*p(q) + 15*a(q). Factor h(x).
5*(x - 2)*(x + 1)*(x + 5)
Let y(k) = -k**2 - 2648*k + 148667. Let v be y(55). Find t, given that -2/11*t**v - 16/11 + 12/11*t = 0.
2, 4
Let r(q) = -q**3 - 731*q**2 + 7 + 0*q**3 + 5*q + 735*q**2. Let u be r(5). Determine f, given that -6*f - 12 - 62*f**2 - u*f + 59*f**2 - 2*f = 0.
-4, -1
Let h = 403/6 + -401/6. Let u be (-2)/6*(-2 - -1)*1. Let u*g + 1/9*g**3 + h*g**2 + 1/9 = 0. Calculate g.
-1
Let i(m) be the third derivative of m**8/896 - m**7/40 + 9*m**6/40 - 11*m**5/10 + 13*m**4/4 - 6*m**3 - 5*m**2 - 18*m + 9. Factor i(r).
3*(r - 6)*(r - 2)**4/8
Let i = 301 + -295. Factor 22*f + 6*f - 38 + 14*f - i*f + 2*f**2.
2*(f - 1)*(f + 19)
Solve -126714*k**2 + 159*k + 126719*k**2 + 233 - 1587 + 836*k - 656 = 0 for k.
-201, 2
Let p(t) = 10*t**3 - 11*t**2 - 97*t + 105. Let y(j) = -3*j**3 + 3*j**2 + 33*j - 35. Let v(q) = 4*p(q) + 14*y(q). Suppose v(w) = 0. Calculate w.
-7, 1, 5
Suppose 2/17*s**2 - 348/17 + 10*s = 0. What is s?
-87, 2
Suppose 2*m - 3*j - 5 = 3*m, 2*j - 14 = -5*m. Suppose 20 = 3*q + m*o, q + 5*o - 25 = -q. Factor q + 2/7*a + 4/7*a**2 + 2/7*a**3.
2*a*(a + 1)**2/7
Let m = -750 + 755. Suppose 7*b = 8*b + 3*z - 1, 5*z = m*b - 25. Suppose 1/5*y**b - 2/5*y + 2/5*y**3 - 1/5*y**2 + 0 = 0. Calculate y.
-2, -1, 0, 1
Let j(v) be the first derivative of -v**5/25 - 3*v**4/5 - 11*v**3/15 - 101. What is k in j(k) = 0?
-11, -1, 0
Let a(k) be the second derivative of -7*k**4/54 + 4093*k**3/27 + 130*k**2 - 4029*k. Solve a(j) = 0.
-2/7, 585
Let l(z) = -131*z - 1698. Let b be l(-13). Factor 4/3*y**4 + 0 + 2/3*y**2 - 1/3*y**b - 5/3*y**3 + 0*y.
-y**2*(y - 2)*(y - 1)**2/3
Suppose -a + 48 = -2*n + 44, -3*a + 7 = -n. Let v(d) be the first derivative of 1/5*d**3 - 3/10*d**a - 9 + 0*d. Factor v(c).
3*c*(c - 1)/5
Let u(r) be the third derivative of r**8/1680 + r**7/1050 - r**6/150 - r**5/75 - 35*r**2 - 6*r. Solve u(k) = 0 for k.
-2, -1, 0, 2
Let z(j) be the second derivative of -j**6/120 + j**5/30 - j**4/24 - 65*j**2 - 2*j - 66. Let b(u) be the first derivative of z(u). Factor b(r).
-r*(r - 1)**2
Let -10*z**3 - 26*z**3 - 18 + 3*z**3 + 75*z + 30*z**2 - 54*z**2 = 0. What is z?
-2, 3/11, 1
Let a(i) be the third derivative of 2*i**2 + 1/70*i**7 + 2*i**3 + 1/20*i**6 - 2*i + 0 - 1/2*i**4 - 3/20*i**5. Factor a(z).
3*(z - 1)**2*(z + 2)**2
Suppose 124*i = 134*i - 198 - 132. Let j(h) be the first derivative of 0*h + 3/4*h**4 - 7*h**3 + 9*h**2 + i. Suppose j(b) = 0. Calculate b.
0, 1, 6
Find x such that 78952*x**4 - 39572*x**4 - 39596*x**4 - 3*x**5 - 3888*x**3 = 0.
-36, 0
Let b(h) be the second derivative of h**6/120 - 41*h**5/80 - 347*h**4/16 - 1953*h**3/8 - 1215*h**2/2 + 5*h + 85. What is a in b(a) = 0?
-9, -1, 60
Let j be (4 - 10) + (-5 - 1)*-1. Suppose 100*w - 201 - 299 = j. Factor 32/3*l**2 - 28/3*l**3 + 4*l**4 - 6*l - 2/3*l**w + 4/3.
-2*(l - 2)*(l - 1)**4/3
Let m(r) = 10. Let h(c) = -13. Let g(i) = 4*h(i) + 5*m(i). Let q(a) = 3*a**2 - 9*a - 46. Let d(o) = 4*g(o) + q(o). Suppose d(b) = 0. What is b?
-3, 6
Let v be (33/(-10) + 6)*(-16)/24*-1. Factor -4*i**2 + 4/5*i + 0 + v*i**3.
i*(i - 2)*(9*i - 2)/5
Let d = 24025/2 + -12332. Let b = d - -339. What is u in -6*u**3 + b*u**2 - 33/2*u + 3 = 0?
1/4, 1, 2
Let a(j) be the second derivative of 0*j**2 - 1/2*j**5 + j**3 + 1/3*j**4 + 2 - 32*j. Factor a(l).
-2*l*(l - 1)*(5*l + 3)
Let d(t) be the first derivative of -t**4/14 + 26*t**3/21 - 12*t**2/7 - 1316. Suppose d(s) = 0. What is s?
0, 1, 12
Suppose 4*h + 2630 = -6*h. Let g = -525/2 - h. What is q in -q - g*q**2 + 0 = 0?
-2, 0
Solve -10952 + 16/5*c**3 - 2378/5*c**2 + 89096/5*c = 0.
5/8, 74
Let c(d) = 4*d**5 + 536*d**4 + 2100*d**3 + 3134*d**2 + 2084*d + 520. Let o(x) = 2*x**3 + x**2. Let i(s) = -c(s) - 2*o(s). Find z such that i(z) = 0.
-130, -1
Suppose 2*c + 2*o = o + 3, -c - o + 2 = 0. Let p(d) = -1. Let w(f) = -3*f**2 - 39*f - 78. Let s(a) = c*w(a) + 12*p(a). Solve s(r) = 0.
-10, -3
Let f be (-234)/(-3276) + 46/42. Let a(c) be the first derivative of 2*c - 17 - f*c**2 + 1/9*c**3. Determine h so that a(h) = 0.
1, 6
Suppose -38/5*q**2 - 1/5*q**5 + 32/5 + 6/5*q**4 + 0*q + 1/5*q**3 = 0. What is q?
-2, -1, 1, 4
Let v be -64 + 14 + -7 - -7. Let u = v + 166/3. Factor -4*n**3 + u*n + 0 + 0*n**2 + 4/3*n**4.
4*n*(n - 2)**2*(n + 1)/3
Let f be (580/120)/(-29)*(-6)/(-20)*-2. Let u(l) be the second derivative of 3/5*l**4 + 0 - 3/10*l**2 - 15*l - f*l**3. Factor u(h).
3*(3*h - 1)*(4*h + 1)/5
Let h(p) be the second derivative of 11*p**4/6 + 794*p**3/3 + 144*p**2 - 2055*p. Find v such that h(v) = 0.
-72, -2/11
What is j in 291/2*j**2 - 603/2*j + 3/2*j**3 - 891/2 = 0?
-99, -1, 3
Suppose 4*l + 16 = 0, -3*l + 168 = 14*k - 11*k. Let -5*p**2 + 8*p + 29*p - 20*p + 3*p + k = 0. Calculate p.
-2, 6
Suppose 16*n - 6*n - 200 = 0. Suppose -n + 30 = 5*u. Let -28*r**3 + 19*r**u - 20*r**2 - 35*r**2 - 8*r = 0. Calculate r.
-1, -2/7, 0
Let x(o) = o**2 + 2*o. Let h(c) = 2*c**2 + c - 2. Let i(z) = 3*z**2 - 38*z + 72. Let f(r) = -4*h(r) + i(r). Let m(j) = -2*f(j) - 6*x(j). Factor m(k).
4*(k - 2)*(k + 20)
Let r(z) be the second derivative of 3*z**5/160 - 11*z**4/32 - 7*z**3/8 + 9*z**2/2 - 1440*z. Factor r(i).
3*(i - 12)*(i - 1)*(i + 2)/8
Suppose -2*q = 3*p - q - 14, -28 = -2*p + 4*q. Suppose 5*h - p*h + 12 = -o, -4*h = -2*o - 54. Solve h*l**4 + 3*l**5 + l**5 + l**5 + 6*l**3 + 4*l**3 = 0 for l.
-2, -1, 0
Let j = -5/105777 + 867159901/1163547. Let v = j + -744. Let 32/11*t**3 - v*t**4 - 32/11*t + 8/11 + 6/11*t**2 = 0. What is t?
-1, 2/7, 1, 2
Suppose 7*u + 9 = 23. Find c, given that 66 + 14*c - 114*c + 3*c**2 - 12*c**u + 7*c = 0.
-11, 2/3
Let s be 2/(-9) + ((-23674)/(-342) - 29). Let x(n) be the second derivative of 1/30*n**4 - s*n - 2/5*n**3 + 0*n**2 + 0. Solve x(k) = 0 for k.
0, 6
Let r(c) be the first derivative of -c**6/60 + 53*c**5/30 - 35*c**4/12 - 2*c**3/3 - 14*c - 92. Let w(u) be the third derivative of r(u). Factor w(k).
-2*(k - 35)*(3*k - 1)
Suppose -22 = -2*q + 4*t, q + 3*q - 53 = -t. Factor q*z**2 + 12*z**2 - 4500 + 7*z**2 - 37*z**2 + 300*z.
-5*(z - 30)**2
Let -115/3*n**4 - 5/6*n**5 + 1600*n + 3340/3*n**2 - 3840 - 1190/3*n**3 = 0. Calculate n.
-24, -2, 2
Factor 190*i**3 + 1/3*i**5 + 248*i + 33*i**4 + 1124/3*i**2 + 0.
i*(i + 2)**3*(i + 93)/3
Let h(o) = -3*o**2 + 919*o - 898. Let s(l) = l**2 + 2*l + 6. Let w(b) = -h(b) + 2*s(b). Factor w(k).
5*(k - 182)*(k - 1)
Let n(v) be the first derivative of v**5/4 + 25*v**4/12 - 40*v**3 - 630*v**2 + 136*v + 218. Let t(l) be the first derivative of n(l). Find i such that t(i) = 0.
-6, 7
