. Let c(u) = 0. What is u?
-339, 1
Solve 37/5*u**3 + 9*u**2 + 18/5*u + 1/5*u**5 + 0 + 11/5*u**4 = 0 for u.
-6, -3, -1, 0
Let v = 6104 + -6104. Let p(n) be the first derivative of -3/4*n**2 + 1/10*n**5 + 13 + 7/6*n**3 + v*n - 5/8*n**4. Find i such that p(i) = 0.
0, 1, 3
Let h(c) be the first derivative of 3*c**5/25 - 9*c**4/4 - 21*c**3/5 + 1749*c**2/10 + 4356*c/5 - 98. Let h(y) = 0. What is y?
-4, -3, 11
Let o(m) be the first derivative of m**4/14 - 22*m**3/21 + 26*m**2/7 - 32*m/7 + 749. Factor o(z).
2*(z - 8)*(z - 2)*(z - 1)/7
Let p be -7 - ((-11000)/30)/10 - (-3)/9. Find a such that -p*a**2 + 3/2*a**5 + 12*a + 27*a**3 + 0 - 21/2*a**4 = 0.
0, 1, 2
Factor -118 - 165 + 195 - 204*m - 96*m**2 + 24*m - 4*m**3.
-4*(m + 1)**2*(m + 22)
Let g = -389819 - -389819. Solve 0*c**3 + 1/6*c**4 + g*c + 3/2 - 5/3*c**2 = 0 for c.
-3, -1, 1, 3
Suppose -352*m - 58 = 341*m - 722*m. Determine x so that -3/2*x**m + 12*x + 27/2 = 0.
-1, 9
Let k(y) be the third derivative of 2*y**2 + 6*y**4 - 3/4*y**5 + 0*y + 27 - 22*y**3 + 1/40*y**6. Factor k(p).
3*(p - 11)*(p - 2)**2
Suppose -223*g = -443*g. Let -2/5*d**3 + 8/5*d - 2/5*d**4 + 8/5*d**2 + g = 0. Calculate d.
-2, -1, 0, 2
Let k(x) = -x**2 - 6*x - 4. Let f be k(-5). Let b(g) = 4*g**2 - 3*g - 4. Let p be b(-1). Factor 5*o**2 - 3*o**2 - f + p - 4*o.
2*(o - 1)**2
Let w(q) be the third derivative of q**5/12 - 120*q**4 + 69120*q**3 - 4*q**2 - 8*q. Suppose w(u) = 0. What is u?
288
Suppose -3*a = -0*a - 6. Suppose -16 + 36 = a*f. Let 5*n + 8 + 2 - 10*n**3 - f*n**2 - 2*n**3 + 7*n**3 = 0. Calculate n.
-2, -1, 1
Let v(g) be the second derivative of -g**7/210 - 7*g**6/150 - 3*g**5/20 - 13*g**4/60 - 2*g**3/15 - 2568*g. Factor v(l).
-l*(l + 1)**3*(l + 4)/5
Let q(k) be the third derivative of k**7/210 - 133*k**6/120 + 131*k**5/60 + 133*k**4/24 - 22*k**3 + 480*k**2. Factor q(o).
(o - 132)*(o - 1)**2*(o + 1)
Let h(g) = -g**3 + 3*g**2 - 7. Let y(r) = r**2. Let p = 99 - 105. Let l(q) = p*y(q) + h(q). Let s(m) be the first derivative of l(m). Factor s(i).
-3*i*(i + 2)
Suppose -g + 154 = -2*q, -q + 2*q = -2*g - 67. Let l = -44 - q. Factor -2*n**3 - 18*n**4 + 6*n**2 + l*n**4 + 2*n**5 - 19*n**4.
2*n**2*(n - 3)*(n - 1)*(n + 1)
Let d(y) be the first derivative of 5/3*y**3 + 90*y - 25 - 55/2*y**2. What is z in d(z) = 0?
2, 9
Let q(u) be the third derivative of 48*u**3 + 2/15*u**5 - 108*u**2 + 0 + 3/10*u**6 - 14*u**4 + 0*u + 2/105*u**7. What is g in q(g) = 0?
-6, 1, 2
Let h(q) be the third derivative of 0*q**4 - 1/735*q**7 + 0*q - 2/105*q**5 - 79*q**2 + 0 + 0*q**3 - 1/105*q**6. Factor h(n).
-2*n**2*(n + 2)**2/7
Let u(r) be the second derivative of r**4/36 - 17*r**3/6 - 53*r**2/3 + 77*r + 4. Factor u(c).
(c - 53)*(c + 2)/3
Let m(u) be the second derivative of 235*u - 2/15*u**6 - 30*u**2 + 0 + 18/5*u**5 - 16*u**4 + 92/3*u**3. Suppose m(w) = 0. Calculate w.
1, 15
Determine i so that -2/15*i**3 + 326/15*i**2 - 622/3*i + 510 = 0.
5, 153
Let k be (80 + (-15336)/192)/((-3)/(-4)). Factor -k*b**2 + 1/3*b - 1/6.
-(b - 1)**2/6
Let t(s) be the first derivative of -s**4/26 + 810*s**3/13 - 492075*s**2/13 + 132860250*s/13 + 737. Factor t(m).
-2*(m - 405)**3/13
Let c(z) = z**4 - 7*z**2. Let g(o) = -o**2. Let q be 10/(-8) - (-16)/64. Let l(i) = q*c(i) + 6*g(i). Find j, given that l(j) = 0.
-1, 0, 1
Let w(g) be the third derivative of g**7/13860 + g**6/55 + 108*g**5/55 + g**4/8 - 13*g**3/6 + g**2 - 2. Let x(d) be the second derivative of w(d). Factor x(a).
2*(a + 36)**2/11
Find i, given that 0*i + 0 + 8/3*i**3 + 0*i**2 + 0*i**4 - 2/3*i**5 = 0.
-2, 0, 2
Let l(c) be the second derivative of c**4/30 + 802*c**3/3 + 804005*c**2 - 1971*c. Factor l(d).
2*(d + 2005)**2/5
Let h(w) = -w**3 - 9*w**2 + 2*w + 89. Let i(t) = -t**2 - t - 1. Let q(o) = h(o) - i(o). Suppose q(m) = 0. Calculate m.
-6, -5, 3
Let w(o) be the third derivative of o**5/15 + 2*o**4/3 - 8*o**3 + 4*o**2 - 34. Factor w(u).
4*(u - 2)*(u + 6)
Factor 16/3*y - 1/9*y**2 + 100/9.
-(y - 50)*(y + 2)/9
Suppose -2*l + 8 = 0, -2*d + l = -4*d + 458. Factor -30*o**2 + 11*o**4 - d*o**3 + 44*o**4 + 72*o**3 + 0*o**4.
5*o**2*(o - 3)*(11*o + 2)
Factor 255841 + 4*h**4 + 67725 - 1072*h**3 + 291584*h - 27630 + 69648*h**2.
4*(h - 136)**2*(h + 2)**2
Suppose 1 = -b - 5*c + 2*c, -11 = -3*b + 5*c. Let x = 142 - 709/5. Let x*f**4 + 0 - 6/5*f**3 + 12/5*f**b - 8/5*f = 0. Calculate f.
0, 2
Let n(g) be the first derivative of -9/10*g**2 + 6/5*g + 1/5*g**3 + 82. Factor n(y).
3*(y - 2)*(y - 1)/5
Let c = 477 + -480. Let t be 195/(-30) + c + 11. Factor 3/4*b**2 - t + 3/4*b.
3*(b - 1)*(b + 2)/4
Solve -2/7*r**5 + 4/7*r**4 + 38/7*r**3 + 8*r**2 + 24/7*r + 0 = 0.
-2, -1, 0, 6
Let c(n) = n**2 - 4*n + 5. Let b = -26 - -31. Let d(o) = 2*o**2 - 12*o + 14. Let a(y) = b*d(y) - 14*c(y). Suppose a(r) = 0. What is r?
-1, 0
Let r be 74/(-259) + (9759/(-21) - 2). Let o = r + 467. What is l in 2/3*l**2 + 2/3*l + o = 0?
-1, 0
Find a, given that -202*a**2 + 656*a - 209*a**2 + 622*a**2 - 207*a**2 + 26896 = 0.
-82
Factor 486 - 99*n - 1133*n - n**2 + 747*n.
-(n - 1)*(n + 486)
Suppose -4*n = -2*n - 3*n. Let w(d) be the second derivative of 1/3*d**3 + 0*d**2 + 29*d + n + 1/30*d**4. Factor w(v).
2*v*(v + 5)/5
Let y be 5 + -2 + (-8)/(32/12). Suppose y = v + 2*v - 9. Find h such that -4*h**v + 4*h - 4*h**2 + 14*h**3 + 10*h**2 - 8*h**3 = 0.
-2, -1, 0
Let t(m) be the third derivative of m**5/270 - 13*m**4/36 - 82*m**3/27 - 2*m**2 - 542*m. Factor t(y).
2*(y - 41)*(y + 2)/9
Let t(r) be the second derivative of -r**7/14 - 27*r**6/10 - 567*r**5/20 - 513*r**4/4 - 243*r**3 - 1292*r + 1. Factor t(s).
-3*s*(s + 3)**3*(s + 18)
Let v(d) be the third derivative of 7*d**6/80 - 149*d**5/120 + 11*d**4/48 + 7*d**3/4 - 6*d**2 - d - 22. Find c such that v(c) = 0.
-1/3, 3/7, 7
Let f(c) be the third derivative of c**8/3192 + 233*c**7/1995 + 1249*c**6/114 - 20877*c**5/95 + 129591*c**4/76 - 131769*c**3/19 - c**2 + 23*c - 3. Factor f(y).
2*(y - 3)**3*(y + 121)**2/19
Let m(p) be the second derivative of -1/105*p**6 - 5/21*p**3 + 0*p**2 + 3/14*p**4 + 1 - 3/70*p**5 - 25*p. Factor m(q).
-2*q*(q - 1)**2*(q + 5)/7
Let d be ((11 - 5) + -5)/((-2)/14). Let b be (d - (-184)/24)/4. Let b*i**3 + 1/6*i + 1/3*i**2 + 0 = 0. Calculate i.
-1, 0
Let s(t) = t**3 - 299*t**2 + 292*t - 6. Let o(j) = -j**3 + 599*j**2 - 583*j + 15. Let m(i) = -2*o(i) - 5*s(i). Factor m(v).
-3*v*(v - 98)*(v - 1)
Factor 100 - 2*y**2 - 24*y + 8*y**2 - y + 4*y**2 - 9*y**2.
(y - 20)*(y - 5)
Let g(m) = 22*m - 130. Let t be g(6). Let u be (-12 + t)*81/(-270). What is v in -1/5*v**u + 9/5*v - 1 - 3/5*v**2 = 0?
-5, 1
Let m(a) = -44*a**2 - 959*a - 35686. Let b(s) = 15*s**2 + 318*s + 11895. Let r(u) = 35*b(u) + 12*m(u). Factor r(h).
-3*(h + 63)**2
Let o(u) = 2*u**2 + 3*u + 2. Let d(z) = -1177*z - 174048. Let s(n) = d(n) - o(n). Suppose s(i) = 0. What is i?
-295
Let g = -11128/3 - -3712. Let r(j) = 13*j - 91. Let a be r(7). Factor 16/3*w**4 - g*w**2 - 4*w + 20/3*w**3 + a.
4*w*(w + 1)**2*(4*w - 3)/3
Solve -3/4*d**4 + 75/2*d**2 - 171*d + 405/4 + 33*d**3 = 0 for d.
-3, 1, 45
Find b such that 138*b + 99 + 75*b**3 - 33*b**2 + 143 - 78*b**3 - 74 = 0.
-14, -1, 4
Let n(r) be the third derivative of -r**6/60 + 37*r**5/30 + 40*r**4/3 + 164*r**3/3 + 5568*r**2. Factor n(y).
-2*(y - 41)*(y + 2)**2
Let m be (-135)/35*525/(-125) - 15. Factor -m*n + 4/5*n**3 + 0 + 2*n**2.
2*n*(n + 3)*(2*n - 1)/5
Let w(x) be the second derivative of 5*x**5/4 - 1715*x**4/12 + 505*x**3/3 + 340*x**2 - 726*x. Determine z, given that w(z) = 0.
-2/5, 1, 68
Solve 22 - 2*n**3 + 175/2*n + 86*n**2 = 0.
-1/2, 44
Determine x, given that -75/7*x**4 - 228*x**2 - 120/7*x + 2400/7 - 606/7*x**3 - 3/7*x**5 = 0.
-10, -4, -2, 1
Let i be (-306)/204*(-16)/(-6) - (8 + -14). Suppose -8/3*s**i + 4/3*s - 1/6 = 0. Calculate s.
1/4
Let 975*v**3 - 314919/2*v**2 - 159414 - 317850*v - 3/2*v**4 = 0. What is v?
-1, 326
Suppose c - 2*c + 5*j = -18, j = 2*c - 9. Find u such that -4 + 32*u**c - 69*u**3 + u + 5*u + 35*u**3 = 0.
-2, 1
Let p be (-77)/(2541/(-44))*36/30. Suppose -h**2 + 0 - 1/5*h**4 - 10*h + p*h**3 = 0. What is h?
-2, 0, 5
Factor -75/7*p**2 + 0 + 36/7*p + 6*p**3 - 3/7*p**4.
-3*p*(p - 12)*(p - 1)**2/7
Suppose 429 + 179 = 19*z. Let r be (3/6)/(4/(z/12)). Determine n so that -1/6*n - 1/6*n**5 + r*n**3 + 0*n**2 + 0 + 0*n**4 = 0.
-1, 0, 1
Let r(s) be the third derivative of s**5/20 + 43*s**4/4 - 88*