r) be the second derivative of h(r). Factor d(o).
-2*(o - 1)*(o + 3)**3/3
Let d(z) be the second derivative of 2*z**5 - 103*z**4/3 + 242*z**3/3 - 72*z**2 + 49*z. What is p in d(p) = 0?
1/2, 4/5, 9
Let g be (-14)/(-49) + 0 - 60/14. Let o be 57/36 + g/16. Factor o*y - 2/3*y**3 + 0 + 2/3*y**2.
-2*y*(y - 2)*(y + 1)/3
Factor -16 - 44*b**3 - 2*b + 13 + 48*b**2 - 4*b**3 + 5*b.
-3*(b - 1)*(4*b - 1)*(4*b + 1)
Suppose 0 = -78*k + 701*k - 1869. Factor 1/2*b**k + 3/2*b**2 - 2 + 0*b.
(b - 1)*(b + 2)**2/2
Suppose -37*r = -34*r. Factor -1/2*m**3 + r + 0*m**2 + 0*m.
-m**3/2
Let s be ((-20)/100)/(1/4*0 + -2). Factor 98/5 - 14/5*j + s*j**2.
(j - 14)**2/10
Let b(r) be the third derivative of -r**5/240 + r**4/16 + 2*r**3/3 - 274*r**2. Factor b(z).
-(z - 8)*(z + 2)/4
Suppose 0 = -7*t + 79 - 65. Let p(m) be the second derivative of 0 - 4*m + 0*m**3 + 0*m**t + 1/36*m**4 + 1/40*m**5 + 1/180*m**6. Factor p(f).
f**2*(f + 1)*(f + 2)/6
Suppose 4*r - 2*k = 48, -r = 4*k - 3 - 9. Suppose -5*x = d + r, 3*d - 5*x - 24 = -0*x. Factor 1/2*w**2 + 1/2*w**d - w + 0.
w*(w - 1)*(w + 2)/2
Let r be 4 + (-3)/(-15) + 42/(-10). Suppose -3*c - 859 + 859 = r. Find i such that c + 2/9*i**3 + 0*i + 0*i**2 - 2/9*i**4 = 0.
0, 1
Suppose 4*r - 25 + 1 = 0. Let c be (-2 + r)*7*(-1)/(-182). Let 0*g + 4/13*g**3 + 0*g**2 - c*g**4 - 2/13*g**5 + 0 = 0. What is g?
-2, 0, 1
Let x(q) = q**4 - 9*q**3 + 8*q**2 + 3*q + 3. Let f(p) = -p**4 + p + 3*p**3 - 2*p**3 + 42 - 41. Let r(m) = 3*f(m) - x(m). What is o in r(o) = 0?
0, 1, 2
Let -2/15*m**5 + 0 - 4/15*m**4 + 8/15*m**2 - 8/15*m + 2/5*m**3 = 0. Calculate m.
-2, 0, 1
Let f = 7439 - 81827/11. Factor -18/11*a**2 - 2*a - 8/11 + f*a**4 - 2/11*a**3.
2*(a - 4)*(a + 1)**3/11
Let s(g) be the first derivative of g**5/20 - 3*g**4/16 - g**3/4 + 11*g**2/8 - 3*g/2 + 108. Factor s(y).
(y - 3)*(y - 1)**2*(y + 2)/4
Let s(n) be the first derivative of 1 - 7/30*n**3 - 1/20*n**4 - 1/5*n**2 + 5*n. Let a(f) be the first derivative of s(f). Solve a(l) = 0.
-2, -1/3
Let o(x) be the first derivative of 0*x + 1/11*x**4 + 7 + 2/11*x**5 + 0*x**3 + 0*x**2. Suppose o(d) = 0. Calculate d.
-2/5, 0
Let p = 1899 + -20885/11. Factor 2/11*t - p + 2/11*t**2.
2*(t - 1)*(t + 2)/11
Let a(d) = -d - 10. Let f be a(0). Let h be (-32)/(-14) + f/35. Find x, given that -2*x**2 + 3*x**2 + 4*x**h - x**2 = 0.
0
Determine r so that 578/9 - 68/9*r + 2/9*r**2 = 0.
17
Factor 2*r - 13 - 8*r + 40 - 3*r**2 + 29 - 11.
-3*(r - 3)*(r + 5)
Suppose -4*r - 2*z + 14 = 0, -r - r + 5*z = -1. Solve -3*j**2 - 2 + 1 + 5 - r + 2*j = 0.
-1/3, 1
Let l(i) be the second derivative of -i**6/6 + 5*i**5/2 - 145*i**4/12 + 80*i**3/3 - 30*i**2 - 866*i. Let l(q) = 0. What is q?
1, 2, 6
Let f(a) = -2*a - 5. Let d(y) = 4*y. Let m be d(-1). Let p be f(m). Solve -b**4 + 5*b**2 - 7*b**2 - 4*b**p - b**4 = 0.
-1, 0
Let q(h) = h**2 - 31*h - 177. Let g be q(-5). Let z(y) be the third derivative of -1/60*y**5 + 0*y**4 - 11*y**2 + 0*y + 1/6*y**g + 0. Factor z(i).
-(i - 1)*(i + 1)
Let d(j) = 4*j - 73. Let n be d(22). Suppose -n = -3*f - 6. Determine q so that 12/5*q**2 - 3/5*q**f + 0*q + 0 = 0.
0, 4
Let c = 767 + -410. Let u = c - 357. Factor u + 0*l**2 - 3/2*l**3 + 3/2*l.
-3*l*(l - 1)*(l + 1)/2
Suppose -41*i + 9 = -38*i. Factor 3*s**3 - 4*s**3 + 6*s**i - 4*s**2 - s**2.
5*s**2*(s - 1)
Let v(j) be the first derivative of j**6/1980 - j**5/165 + j**4/44 + 2*j**3/3 - 8. Let n(t) be the third derivative of v(t). Factor n(h).
2*(h - 3)*(h - 1)/11
Factor -92*k - 13*k - 8*k**2 + 11*k**2 + 0*k**2.
3*k*(k - 35)
Suppose -144*s**2 + 923*s - 279*s + 8*s + 627*s + 1025*s + 3*s**3 - 12288 = 0. Calculate s.
16
Let r(c) = 2*c + 16. Let a be r(-8). Suppose a = f - 4. Solve 3*b**2 + 7*b - b**f - b**3 - 2*b**4 - b**5 - 5*b = 0.
-2, -1, 0, 1
Let a(r) = 3*r + 13. Let c be a(6). Factor 5 - 41*w**2 + 16*w**4 - 40*w**3 + 11*w**2 - c*w**4.
-5*(w + 1)**3*(3*w - 1)
Let q(r) be the third derivative of -r**7/105 - r**6/10 - r**5/6 + r**2 + 26*r. What is d in q(d) = 0?
-5, -1, 0
Let n be ((2 - 2)/(-7))/(2*1). Factor 0*j**2 + 2/5*j**4 + 0 + 0*j + n*j**3.
2*j**4/5
Let c be 0*12/72*1. Let y(k) be the third derivative of 7*k**2 + 5/6*k**4 + 5/12*k**5 + 5/6*k**3 + c*k + 0 + 1/12*k**6. Factor y(f).
5*(f + 1)**2*(2*f + 1)
Let p(j) = j**2 + j. Let t(g) = -78*g**2 + 34*g + 8 + 166*g**2 - 72*g**2. Let b(l) = -2*p(l) + t(l). Factor b(z).
2*(z + 2)*(7*z + 2)
Let f(o) be the second derivative of -o**4/30 - 14*o**3/15 + 3*o**2 + 3*o - 1. Let f(s) = 0. Calculate s.
-15, 1
Let d(n) be the second derivative of 3*n - 16/11*n**2 + 0 + 1/11*n**5 - 1/165*n**6 + 40/33*n**3 - 1/2*n**4. Determine z so that d(z) = 0.
1, 4
Suppose -4*c + 5*r + 20 = 0, -2*c + 0*c + 24 = r. Let d be (135/c)/((-2)/(-4)). Solve d*y**3 - 2*y**2 + 2*y**5 - 4*y**2 - 14*y**5 - 33*y**5 - 12*y**4 = 0.
-1, 0, 1/3, 2/5
Let p(c) be the second derivative of 48*c + 0*c**2 + 0 - 5/18*c**4 + 1/10*c**5 - 2/9*c**3. Factor p(h).
2*h*(h - 2)*(3*h + 1)/3
Let l be (2499/(-126) - -20)*1. Factor 1/2*i**3 + 1/6*i - 1/2*i**2 - l*i**4 + 0.
-i*(i - 1)**3/6
Let j be ((-38)/22)/(-1) + (-792)/(-2904). Find n, given that -32/5 - 2/5*n**5 + j*n**3 + 2*n**4 - 16*n - 10*n**2 = 0.
-1, 4
Let r be (-4)/(36/399) + -4. Let h = r - -49. Factor -h*i**3 + 0 - 2/9*i - 2/3*i**2 - 2/9*i**4.
-2*i*(i + 1)**3/9
Solve 1/7*j**2 + 4/7*j + 4/7 = 0.
-2
Let y = 263 - 261. Suppose v - 5*i + 15 = 0, 2*i - 35 = -5*v - 2. Factor 2/3*s**y - 2/3 + s + 0*s**4 - 4/3*s**3 + 1/3*s**v.
(s - 1)**3*(s + 1)*(s + 2)/3
Let x = 69 - 71. Let f be 611/442 + x/(-17). Determine s, given that -7/6*s**3 - 1/3 + 7/6*s - f*s**4 + 11/6*s**2 = 0.
-1, 2/9, 1
Let k be 74/14 + 108/(-378). Let p(f) be the third derivative of 1/12*f**3 - 1/120*f**5 + 0*f**4 + 0*f + 0 - k*f**2. Solve p(l) = 0 for l.
-1, 1
Let t = -2202/5 - -442. Let u(w) be the first derivative of -16/15*w**3 + t*w**4 + 1/5*w**2 - 2 + 0*w. Factor u(z).
2*z*(4*z - 1)**2/5
Let v(a) be the second derivative of -5/6*a**3 + 0*a**2 - 6*a + 4*a**5 + 0*a**4 + 0. Factor v(w).
5*w*(4*w - 1)*(4*w + 1)
Let i be 9 + (-5 - 11) + 10. Factor 4/3*q**4 + 8/3*q + 16/3*q**i + 20/3*q**2 + 0.
4*q*(q + 1)**2*(q + 2)/3
Let v(r) be the second derivative of -r**6/40 - 3*r**5/20 - 4*r**2 + 9*r. Let y(j) be the first derivative of v(j). Solve y(u) = 0 for u.
-3, 0
Let y = -44 + 46. Let r(x) be the third derivative of 0*x - 5/6*x**4 - 5/6*x**3 + 0 + 11*x**y - 3/14*x**7 + 1/2*x**6 + 1/6*x**5. Find a, given that r(a) = 0.
-1/3, 1
Let s = 51 + -48. Factor 2*b**4 - 4*b**4 - 936*b**3 - 2*b**2 + 932*b**s.
-2*b**2*(b + 1)**2
Let p(m) be the second derivative of -1/6*m**3 - 2/15*m**4 + 3/5*m**2 + 0 + 3/100*m**5 + m. Factor p(w).
(w - 3)*(w + 1)*(3*w - 2)/5
Let u(j) be the third derivative of -j**8/560 + j**7/70 - j**6/24 + j**5/20 + j**3/3 + 23*j**2. Let v(g) be the first derivative of u(g). Factor v(o).
-3*o*(o - 2)*(o - 1)**2
Suppose -3 = o - 3. Suppose o = 8*k - 14 - 10. Determine q, given that -26/3*q**k + 2/3*q - 4/3 + 6*q**2 + 10/3*q**4 = 0.
-2/5, 1
Let l(z) = 3*z**3 - 6*z**2 - 7*z - 3. Let x(h) = -h**3 + h. Let k(q) = l(q) + 2*x(q). Let i be k(7). Solve 13*o - 1 - i*o**2 - 1 + 1 - 1 = 0 for o.
2/11, 1
Let k(u) be the first derivative of 2*u**5/45 + 131*u**4/6 + 8624*u**3/3 + 38416*u**2/9 + 602. Let k(q) = 0. What is q?
-196, -1, 0
Suppose -62*k + 58*k - 65*k = 51*k. Solve 2/3*d**2 + k - 1/3*d - 1/3*d**3 = 0.
0, 1
Let d(a) be the first derivative of 5/2*a**4 - 20*a**2 + 5/3*a**3 + 4 - 20*a. Factor d(u).
5*(u - 2)*(u + 2)*(2*u + 1)
Let c = 74 + -75. Let l be (4 - 35/10) + (-1 - c). Suppose l*i**2 + 0 - 1/2*i = 0. Calculate i.
0, 1
Let s(i) = i**3 + 6*i**2 - 20*i - 87. Let w be s(-3). Factor 18/7*y**2 + w + 4/7*y + 2*y**3.
2*y*(y + 1)*(7*y + 2)/7
Let f(u) be the second derivative of -u**4/18 - 5*u**3/9 + 2*u**2 + 42*u. Let f(t) = 0. What is t?
-6, 1
Let d(w) be the second derivative of w**7/63 + w**6/15 - 7*w**5/30 - 5*w**4/6 + 2*w**3 - 81*w. Let d(i) = 0. Calculate i.
-3, 0, 1, 2
Let c(v) = -v**2 + 132*v - 3513. Let r be c(95). Find a such that 8/19*a + 8/19 + 2/19*a**r = 0.
-2
Let o be (2*(4 + (-44)/8))/((-27)/12). Factor -16/3*y**3 - o*y**4 + 8/3*y**2 + 16*y - 12.
-4*(y - 1)**2*(y + 3)**2/3
Let u(c) be the second derivative of c**4/3 - 20*c**3 + 450*c**2 - 44*c. Factor u(m).
4*(m - 15)**2
Factor 0 + 2/3*t**5 + 40/3*t**2 + 14/3*t**4 + 12*t**3 + 16/3*t.
2*t*(t + 1)*(t 