hat m(c) = 0.
-1, -2/7, 1
Suppose 16*l + 1675*l**4 + 180*l**3 + 169*l**2 - l**5 + l**5 + 20*l**5 - 1571*l**4 - 57*l**2 = 0. Calculate l.
-2, -1, -1/5, 0
Let y = 116 - 104. Factor -y*f + 0 - f**3 + 0 + 100*f**2 - 93*f**2.
-f*(f - 4)*(f - 3)
Let p(y) be the third derivative of -y**6/60 - 179*y**5/30 - 59*y**4/2 + 20*y**2 + 3*y. Factor p(w).
-2*w*(w + 2)*(w + 177)
Let x = 9579 + -9575. Let u(o) be the second derivative of 18*o + 1/30*o**6 - 1/80*o**5 - 1/4*o**x + 11/24*o**3 + 0 - 1/4*o**2. Find n, given that u(n) = 0.
-2, 1/4, 1
Suppose 4*j + 5*l + 40 = 0, -43*j + 2*l + 16 = -48*j. Let z be (0 + 1 + 1)/11. Solve -z*w**3 + j + 8/11*w + 0*w**2 = 0.
-2, 0, 2
Let i(z) be the second derivative of -128*z**6/15 + 17296*z**5/5 + 4332*z**4 + 6502*z**3/3 + 542*z**2 - 4666*z. Factor i(o).
-4*(o - 271)*(4*o + 1)**3
Let f be -1 + ((-3976)/(-2646) - 3/7). Let g(u) be the first derivative of f*u**3 + 0*u + 5/9*u**2 + 37. Factor g(t).
2*t*(t + 5)/9
Let h(u) be the third derivative of u**6/72 - 17*u**5/24 + 16*u**3 + 12*u**2. Let g(f) be the first derivative of h(f). Factor g(c).
5*c*(c - 17)
Let k(q) be the second derivative of q**5/10 + 67*q**4/9 - 488*q**3/9 - 128*q**2 + 6*q + 338. What is f in k(f) = 0?
-48, -2/3, 4
Let t(p) be the first derivative of -9*p**5/25 + 209*p**4/20 - 46*p**3/15 + 1753. Factor t(a).
-a**2*(a - 23)*(9*a - 2)/5
Suppose 5*d + 364 = -2*d. Let h = -49 - d. Factor 8*s**h - 7*s**2 - 31*s + 32*s - 2*s**2 + 0*s**3.
s*(s - 1)*(8*s - 1)
Let x(g) = 4*g**5 + 28*g**3 - 45*g**2 + 19*g + 3. Let f(l) = -18*l**5 - 138*l**3 + 222*l**2 - 94*l - 14. Let i(q) = -6*f(q) - 28*x(q). Solve i(k) = 0.
-4, 0, 1, 2
Solve -2/9*i**5 - 112/9*i + 8/9*i**2 + 22/9*i**4 + 0 + 28/3*i**3 = 0.
-2, 0, 1, 14
Let l(q) be the third derivative of -11/90*q**5 + 0*q - 1/6*q**4 + 0*q**3 + 14 + 1/63*q**7 + q**2 + 1/15*q**6. Let l(j) = 0. What is j?
-3, -2/5, 0, 1
Factor 18*y + 93/5 - 3/5*y**2.
-3*(y - 31)*(y + 1)/5
Let i(o) be the third derivative of -2 - 1/20*o**5 - 1/160*o**6 - 16*o**2 + 5/32*o**4 + 0*o + 0*o**3. What is c in i(c) = 0?
-5, 0, 1
Let f(r) be the first derivative of 4*r**3 + 3608*r**2 + 2404*r - 3015. Let f(x) = 0. What is x?
-601, -1/3
Suppose 369*m - 2 = 367*m. Suppose 95*f**3 - 200*f**3 + 106*f**3 - m - f + f**2 = 0. Calculate f.
-1, 1
Let m(h) be the first derivative of h**6/3 - 6*h**5/5 - 19*h**4/2 + 2*h**3 + 18*h**2 + 101. Solve m(s) = 0.
-3, -1, 0, 1, 6
Suppose -5*f - 4*l = -53, -3*f - 9*l = -10*l - 42. Let w(d) be the second derivative of 1/24*d**4 + 0 + 3/8*d**2 + f*d + 5/24*d**3. Factor w(h).
(h + 1)*(2*h + 3)/4
Let -1137*v**2 + 4572 - 1149/2*v**3 - 3/2*v**4 + 2298*v = 0. What is v?
-381, -2, 2
Let x(m) = -5*m**4 + 165*m**3 - 1443*m**2 + 1280*m + 6. Let l(s) = 40*s**4 - 1320*s**3 + 11545*s**2 - 10240*s - 50. Let f(q) = -3*l(q) - 25*x(q). Factor f(p).
5*p*(p - 16)**2*(p - 1)
Suppose 3*j = 4*c - 1, -9*c + j = -7*c - 3. Let i(q) be the first derivative of -27*q**2 + 6*q**3 + 8 + 54*q - 1/2*q**c. Determine h, given that i(h) = 0.
3
Suppose 8*i - 5*i = -3*k + 120, k = 5*i - 224. Suppose -i*d = -36*d. Factor 0 - 3/4*l**2 + d*l**3 + 3/4*l**4 + 0*l.
3*l**2*(l - 1)*(l + 1)/4
Let s(q) be the third derivative of 1/105*q**7 - 1/3*q**4 + 6 - 4/3*q**3 + 0*q + 2*q**2 + 1/10*q**5 + 1/15*q**6. Let s(m) = 0. What is m?
-2, -1, 1
Let a(i) be the second derivative of i**5/20 - i**4 + 22*i**3/3 - 24*i**2 + 946*i. Factor a(n).
(n - 6)*(n - 4)*(n - 2)
Let g be 648/(-48)*8/(-6) - 6. Let b(c) = -c**3 + 11*c**2 + 6*c + 72. Let f be b(g). Factor 2/15*p**4 + f*p**3 - 8/15*p**2 + 0 + 0*p.
2*p**2*(p - 2)*(p + 2)/15
Let 39*a - 6*a**3 - 3888 - 2*a**2 - 1119*a + 36*a**3 + 143*a**2 - 3*a**4 = 0. What is a?
-4, 9
Suppose 0 = -9*i - 8 + 26. Solve -12 - 17*y**2 + 4 + y + 19*y**i - 7*y = 0.
-1, 4
Let u(r) be the second derivative of r**5/4 - 1505*r**4/12 - 3025*r**3/6 - 1515*r**2/2 + r + 745. Solve u(m) = 0.
-1, 303
Let s(o) be the third derivative of 17*o**5/20 - 53*o**4/8 + 3*o**3 + 2957*o**2. Find k such that s(k) = 0.
2/17, 3
Factor 86/9*n + 44/9 + 40/9*n**2 - 2/9*n**3.
-2*(n - 22)*(n + 1)**2/9
Let r(l) be the first derivative of -l**4/2 - 22*l**3/3 + 57*l**2 - 90*l - 6503. Suppose r(j) = 0. Calculate j.
-15, 1, 3
Let p = -202263 + 202272. Factor -3/4*u**3 + p + 6*u - 3/4*u**2.
-3*(u - 3)*(u + 2)**2/4
Let r(c) be the third derivative of c**7/504 - c**6/72 - 27*c**4/8 + 75*c**2. Let i(d) be the second derivative of r(d). Suppose i(n) = 0. Calculate n.
0, 2
Suppose 1342*x - 621743 + 620711 + 6*x**2 + 202*x = 0. What is x?
-258, 2/3
Let t = -47 + 44. Let a be (-1)/(t/4)*9. What is b in -8*b**5 - 3 + a*b**5 - 6*b**2 + 3*b**4 + 6*b**4 - 9*b + 6*b**3 - b**5 = 0?
-1, 1
Let a be 4/62 + (66232/2635 - 18). Factor 32*i**2 - 162/5 + 36/5*i + 2/5*i**4 - a*i**3.
2*(i - 9)**2*(i - 1)*(i + 1)/5
Let w = 29/52 - 1253/2340. Let q(v) be the third derivative of 0 - 1/6*v**4 + 0*v - 4/9*v**3 - 23*v**2 - w*v**5. Solve q(a) = 0.
-2, -1
Let v(i) be the third derivative of i**5/50 - 1471*i**4/180 + 652*i**3/45 + 3*i**2 + 342*i - 2. Determine y so that v(y) = 0.
4/9, 163
Suppose 64 - 6 = 29*n. Let j(i) be the first derivative of 7/8*i**4 - 1/2*i**6 + 0*i - 1/4*i**n - 1/10*i**5 + 1/6*i**3 + 7. Determine s, given that j(s) = 0.
-1, -1/2, 0, 1/3, 1
Let k(r) be the first derivative of r**9/3024 + r**8/1680 - r**7/420 + 4*r**3/3 - 5*r**2/2 + 75. Let v(s) be the third derivative of k(s). Factor v(p).
p**3*(p - 1)*(p + 2)
Let n be ((-18)/15)/((-18)/60). Factor -n*x**5 + 32*x**2 + 115*x**4 - 177*x**4 + 102*x**4 - 68*x**3.
-4*x**2*(x - 8)*(x - 1)**2
Suppose -55 = -5*i - 3*f - 2*f, f = -5*i + 43. Let -z**3 - i*z + 11*z + 7*z**2 + 5*z + 5*z**2 + 5*z = 0. Calculate z.
-1, 0, 13
Let n = -182756/15 - -73115/6. Factor -n*x**2 - 99/10*x - 1/10*x**3 + 121/10.
-(x - 1)*(x + 11)**2/10
Let a(s) be the second derivative of s**9/720 + 33*s**8/2240 - s**7/84 + 53*s**4/12 + 76*s. Let z(y) be the third derivative of a(y). Factor z(i).
3*i**2*(i + 5)*(7*i - 2)
Suppose -932*m + 5659 - 1931 = 0. Find k such that -m + 5/3*k + 1/6*k**2 = 0.
-12, 2
Let q(s) be the first derivative of 4*s**3/3 - 54*s**2 + 648*s - 1899. Factor q(j).
4*(j - 18)*(j - 9)
Let n be (5/(-28))/(27/(-1080)). Suppose 2*j + 5*k - 29 = 0, -3*k + 1 = -2*j - 10. Suppose 2/7*l**j + 20/7*l + n = 0. Calculate l.
-5
Let c(r) = -27*r**4 - 120*r**3 - 126*r**2 + 132*r + 117. Let l(i) = -27*i**4 - 119*i**3 - 127*i**2 + 133*i + 112. Let p(o) = -7*c(o) + 6*l(o). Factor p(g).
3*(g - 1)*(g + 1)*(3*g + 7)**2
Suppose -x - n + 1004 - 993 = 0, -5*x + 23 = n. Factor 2/5 + i + 4/5*i**2 + 1/5*i**x.
(i + 1)**2*(i + 2)/5
Suppose 0 = -4*p + 22*l - 27*l - 42, -4*p - 4*l = 32. Suppose 1/4*t**p - 3/2*t + t**3 + 1/4*t**4 + 0 = 0. Calculate t.
-3, -2, 0, 1
Let f(u) be the second derivative of -113*u + 1/30*u**4 + 23/15*u**3 + 42/5*u**2 + 0. Factor f(q).
2*(q + 2)*(q + 21)/5
Factor 1842 + 351*i + 133*i**2 - 27*i**3 - 815 + i**4 - 837.
(i - 19)*(i - 10)*(i + 1)**2
Let k = -956 - -52. Let x = -2710/3 - k. Factor 0 + x*r**2 + 1/3*r**3 + 1/3*r.
r*(r + 1)**2/3
Let p = 64646 - 581810/9. Let -p + 2/9*u + 2/9*u**2 = 0. Calculate u.
-2, 1
Let r(w) = 57745*w**2 - 111168785*w + 71333281255. Let k(p) = -p**3 + 144363*p**2 - 277921959*p + 178333203137. Let n(f) = -5*k(f) + 12*r(f). Factor n(m).
5*(m - 1925)**3
Suppose -b + 1200 = -8. Let 295 + b*u**2 - 90*u + 137 - 1205*u**2 + 18*u = 0. Calculate u.
12
Suppose 5*g - 28 = 2*r, 3*g + 12*r - 28 = 16*r. Factor -4*d - 16667*d**2 - 4 + g*d**3 + 16659*d**2 + 12.
4*(d - 2)*(d - 1)*(d + 1)
Let w(c) be the first derivative of c**5/40 - c**4/12 - c**3/12 + c**2/2 - 126*c - 133. Let b(k) be the first derivative of w(k). Factor b(s).
(s - 2)*(s - 1)*(s + 1)/2
Suppose 44 = 4*i + 4*s, -i - 17 = -5*s - 22. Let g(u) = -38*u**3 + 44*u**2 - 32*u + 26. Let k(f) = f**3 + f**2 - 2. Let y(r) = i*k(r) + g(r). Factor y(a).
-2*(a - 1)*(2*a - 1)*(7*a - 3)
Let f be (44/165)/(21/(-1355)). Let v = f - -160/9. Suppose -4/7 + v*r**2 + 2/7*r**3 - 2/7*r = 0. Calculate r.
-2, -1, 1
Let n be (204/2380)/((-12)/(-63)). Let x(y) be the second derivative of n*y**5 - y**3 - 1/14*y**7 + 0 - 1/10*y**6 + 0*y**2 + 1/4*y**4 - 6*y. Solve x(h) = 0.
-2, -1, 0, 1
Suppose -q = q - 4*y + 4, 0 = 3*q + 2*y - 2. Let 4/9*j**4 + q*j - 4/3*j**2 + 0 - 8/9*j**3 = 0. Calculate j.
-1, 0, 3
Let t(d) be the third derivative 