*(x - 52)*(x + 2)
Let o(b) be the third derivative of -2*b**7/315 - b**6/15 + b**5/3 - 4*b**4/9 - 25*b**2 - 4. Factor o(g).
-4*g*(g - 1)**2*(g + 8)/3
Let j = 2185 + -2181. Let n = -4/15 - -3/5. Solve 0 - 2/3*q - n*q**j + q**2 + 0*q**3 = 0 for q.
-2, 0, 1
Find x, given that -10*x**2 + 36*x**2 - 45*x - 10*x**2 - 11*x**2 + 40 = 0.
1, 8
Let k(v) be the third derivative of v**7/105 + 31*v**6/15 + 41*v**5/10 + 703*v**2. Factor k(a).
2*a**2*(a + 1)*(a + 123)
Let g(z) be the first derivative of 2*z + 1/18*z**4 + 0*z**2 - 1/45*z**6 - 1/9*z**3 - 4 + 1/30*z**5. Let m(b) be the first derivative of g(b). Factor m(j).
-2*j*(j - 1)**2*(j + 1)/3
Let b = -15461/4 + 3866. Factor 0 + b*c**3 + 3/4*c - 3/2*c**2.
3*c*(c - 1)**2/4
Let f = -79 - -81. Let j(z) be the second derivative of 0 - 3/5*z**5 - 1/3*z**4 + 0*z**3 - 2*z + 0*z**f + 8/15*z**6. Suppose j(q) = 0. Calculate q.
-1/4, 0, 1
Let w(d) be the first derivative of 1/2*d + 17/18*d**3 + 10 - 1/6*d**4 - 4/3*d**2. Find t such that w(t) = 0.
1/4, 1, 3
Let k(h) be the second derivative of -h**6/120 + h**5/16 + 7*h**4/48 - 5*h**3/24 - 3*h**2/4 - 170*h. Factor k(d).
-(d - 6)*(d - 1)*(d + 1)**2/4
Let n = 85 + -58. Factor -19*i**3 + 13*i**2 + 7 + i**4 - 12*i - 14*i**3 + n*i**3 - 3.
(i - 2)**2*(i - 1)**2
Factor 16*t**5 - 8*t**3 - t + 4 + 2*t**2 + 21*t**5 + 10*t - 38*t**5 - 6*t**4.
-(t - 1)*(t + 1)**3*(t + 4)
Let r(i) be the first derivative of i**4/26 + 14*i**3/39 - i**2/13 - 14*i/13 + 209. Suppose r(o) = 0. Calculate o.
-7, -1, 1
Let s(k) = k**2 - 8*k - 14. Let q be s(10). Let t = 8 - q. Let -1/4*u**t - 4*u**4 + 0*u + 0 + 2*u**3 = 0. What is u?
0, 1/4
Let c(u) be the third derivative of u**8/1512 + 2*u**7/945 - u**6/540 - u**5/135 + 6*u**2 + 8*u. Find p, given that c(p) = 0.
-2, -1, 0, 1
Suppose 486 = 2*h + 9*h - 2*h. Factor h - 18*g + 3/2*g**2.
3*(g - 6)**2/2
Let j(c) be the first derivative of c**8/7560 - c**7/3780 - c**6/810 - 2*c**3/3 + 16. Let b(t) be the third derivative of j(t). Find h such that b(h) = 0.
-1, 0, 2
Let j = -35 - -37. Find i, given that 3*i**2 - 2*i**3 - 3*i**4 - 3*i**5 + 7*i**5 + j*i - i - 3*i**3 = 0.
-1, -1/4, 0, 1
Let t(h) be the second derivative of h**4/12 - 2*h**3/3 + 3*h**2/2 - 35*h + 2. Factor t(f).
(f - 3)*(f - 1)
Let w(f) be the second derivative of -f**6/30 - f**5/10 - f**4/12 + 10*f + 1. Factor w(o).
-o**2*(o + 1)**2
Let c(z) be the second derivative of -z**7/21 + 16*z**6/15 - 10*z**5 + 152*z**4/3 - 448*z**3/3 + 256*z**2 + 25*z. Factor c(f).
-2*(f - 4)**3*(f - 2)**2
Let x = 110 + -110. Let b(w) be the first derivative of -7 + x*w - 1/3*w**3 - w**2. Factor b(m).
-m*(m + 2)
Suppose 0 = -12*g - 95 - 145. Let h be (4 + 7/(-3))*(-8)/g. Factor -1/3*x**4 - 1/3*x**5 + 2/3*x**3 - 1/3 - 1/3*x + h*x**2.
-(x - 1)**2*(x + 1)**3/3
Let m(u) be the third derivative of 1/30*u**7 - 1/60*u**6 + 12*u**2 + 0*u + 0*u**5 + 0*u**4 + 0*u**3 + 0. Suppose m(g) = 0. What is g?
0, 2/7
Suppose -4*c = -j - 13, 0 = -4*c - 6*j + 8*j + 10. Factor 0 - 4/3*m**2 + 2/3*m**c - m**3 + 4/3*m + 1/3*m**5.
m*(m - 1)**2*(m + 2)**2/3
Suppose -9 = 3*h - 6. Let p(a) = -2*a**2 - 6*a - 3. Let o(r) = 1. Let m(v) = h*p(v) - 3*o(v). What is f in m(f) = 0?
-3, 0
Factor 58/3 + 11/2*g + 1/6*g**2.
(g + 4)*(g + 29)/6
Let k be (-8)/(-6)*9/(-2). Let n be (3/k)/((-5)/20). Factor 0*v + 0 - 5/3*v**3 - 1/3*v**5 + 4/3*v**4 + 2/3*v**n.
-v**2*(v - 2)*(v - 1)**2/3
Let g(o) be the first derivative of -6*o**4 - 34/15*o**5 - 27 - 14/3*o**3 + 0*o - 2/3*o**2. Solve g(z) = 0.
-1, -2/17, 0
Let c be 29 - 7/((-28)/8). Suppose 0 = 3*h + 5*y - c, 27 = 3*h - 2*h + 5*y. Solve -1/3*u**5 + 0 + 1/3*u + 0*u**3 - 2/3*u**h + 2/3*u**4 = 0.
-1, 0, 1
Let j(n) be the third derivative of 5/12*n**4 + 17*n**2 + 0*n + 0 + 0*n**3 + 1/24*n**6 + 1/4*n**5. Let j(h) = 0. What is h?
-2, -1, 0
Let i = 2039 + -2039. Let p(y) be the second derivative of 0*y**2 + 1/9*y**3 + 2*y + i + 1/36*y**4. Factor p(w).
w*(w + 2)/3
Let r be (-8 - (-150)/20)*2/(-3). Let i(n) be the second derivative of 0 + 2*n**2 + 3*n + r*n**4 - 4/3*n**3. Suppose i(l) = 0. Calculate l.
1
Determine s so that 9 + 39*s**3 + 10*s - 29*s**2 + 6*s**4 - 9 + 5*s**2 - 22*s - 9*s**5 = 0.
-2, -1/3, 0, 1, 2
Let s be (12/16*(-176)/(-66))/5. Factor 0 + s*d**2 - 1/5*d**3 + 3/5*d.
-d*(d - 3)*(d + 1)/5
Let v(t) = -5*t**2 + 141*t - 145. Let u(o) = -12*o**2 + 424*o - 436. Let i(d) = 3*u(d) - 8*v(d). Determine w, given that i(w) = 0.
-37, 1
Let h(j) be the third derivative of j**6/480 + 131*j**5/240 + 259*j**4/96 + 43*j**3/8 - 14*j**2 - 2*j. Determine n so that h(n) = 0.
-129, -1
Let m = -2 + 2. Let u(s) = s**3 - 2*s**2 - 100*s + 13. Let t be u(11). Let 1/2*o**t + m - o = 0. Calculate o.
0, 2
Suppose -80 = 12*f - 16*f. Find y such that -24*y**2 - 4*y + 6*y**5 + 3*y**3 + 5*y**3 - 2*y**3 - 4*y + f*y**4 = 0.
-2, -1/3, 0, 1
Let w be -4 - 11/(22/(-16)). Let w*s**2 - 18*s + 2*s**2 - 2*s**2 - 21 - s**2 = 0. What is s?
-1, 7
Suppose -4*f - 3*t + 1006 = -0*f, 746 = 3*f - 2*t. Let c = -250 + f. Factor -1/6*h**2 + c - 1/6*h**3 + 0*h.
-h**2*(h + 1)/6
Let w(d) = -d**2 - 242*d - 2882. Let t(m) = -2*m**2 - 969*m - 11529. Let h(r) = 2*t(r) - 9*w(r). Factor h(a).
5*(a + 24)**2
Let y(m) be the third derivative of m**8/28 - 17*m**7/35 + 361*m**6/160 - 45*m**5/16 - 189*m**4/32 - 27*m**3/8 - 67*m**2 + 1. Determine f so that y(f) = 0.
-1/4, 3
Suppose 0 = 3*x + 38 - 44. Let p(j) be the second derivative of 2/3*j**3 + 0*j**x + 0 - 2*j + 1/20*j**5 + 1/3*j**4. Factor p(s).
s*(s + 2)**2
Let f(l) be the second derivative of l**5/390 - l**4/26 + 3*l**3/13 + 11*l**2/2 - 12*l. Let g(c) be the first derivative of f(c). Factor g(b).
2*(b - 3)**2/13
Let v(t) be the second derivative of t**6/540 + 2*t**5/135 + 5*t**4/108 + 2*t**3/27 + 10*t**2 + 10*t. Let c(k) be the first derivative of v(k). Factor c(j).
2*(j + 1)**2*(j + 2)/9
Suppose 2*w = -5*o + 8, -3*o + 0*w + 5*w - 20 = 0. Factor o*z + 0*z**3 + 0 - 4/7*z**2 + 4/7*z**4.
4*z**2*(z - 1)*(z + 1)/7
Let z(f) be the first derivative of 1/8*f**2 + 10 - 1/12*f**3 + 0*f. Solve z(v) = 0.
0, 1
Let u(i) be the second derivative of i**7/140 + 11*i**6/180 - i**5/10 - 2*i**4/3 - 23*i**3/6 - 38*i. Let g(y) be the second derivative of u(y). Solve g(t) = 0.
-4, -2/3, 1
Let f be -2*(-4 + -2) - 4. Let a be ((-18)/f)/((-30)/60). Let 3/2*m**3 + 15/2*m**2 + a + 21/2*m = 0. What is m?
-3, -1
Let q(j) be the second derivative of j**4/4 + 9*j**3 + 243*j**2/2 - 4*j - 4. Factor q(t).
3*(t + 9)**2
Let i = -10 + 14. Let l = 9 - i. Factor -l*o + 0*o - 3*o**2 + 2*o.
-3*o*(o + 1)
Let q(h) be the third derivative of 2/45*h**5 + 0*h - 7*h**2 - 5/1512*h**8 - 4/315*h**7 + 1/27*h**4 + 0 + 0*h**3 + 1/540*h**6. Suppose q(m) = 0. Calculate m.
-2, -1, -2/5, 0, 1
Let s(d) be the first derivative of 6/5*d**2 + 0*d + 29 + 2/5*d**3 - 3/10*d**4. Factor s(v).
-6*v*(v - 2)*(v + 1)/5
Suppose 0 = -f + v + 10, 0*f - 3*f = 2*v - 5. Factor z**2 - 4*z**2 - 2*z**4 + f*z**2.
-2*z**2*(z - 1)*(z + 1)
Let d be ((-9)/(-42) + 2/7)*0. Let l(k) be the first derivative of -1/21*k**6 + 0*k**5 + d*k**3 + 2 + 0*k + 1/7*k**4 - 1/7*k**2. Factor l(q).
-2*q*(q - 1)**2*(q + 1)**2/7
Let s(v) be the third derivative of v**6/200 - v**5/50 + 32*v**2. Find b such that s(b) = 0.
0, 2
Let t be -1*(-18)/(-6) - (-7 - 0). Factor -8*z**3 - 12*z**2 + t*z + 4*z**4 + 3*z**3 + 8 + z**3.
4*(z - 2)*(z - 1)*(z + 1)**2
Let i(j) be the second derivative of 3*j**5/20 + 7*j**4/4 + 7*j**3 + 12*j**2 - 42*j. Suppose i(o) = 0. What is o?
-4, -2, -1
Let a(r) = r - 5. Let q be a(9). Suppose 0 = q*t - 0*t - 12. Factor -2*y**3 - y - 2*y**4 + t*y**3 + y.
-y**3*(2*y - 1)
Let w be 62/(-4)*(-4 - -2). Suppose 0 = -3*q - 7 + w. Suppose q - 21*f + 15*f**2 + 4 - 6 = 0. What is f?
2/5, 1
Factor -355*z + 600*z**2 - 3*z**4 + 190*z**3 + 26*z + 205 - 2*z**4 + 939*z.
-5*(z - 41)*(z + 1)**3
Suppose -4*l + 3*l = 0. Let p be 3/(72/40)*8/20. What is m in 0 - p*m**4 + 0*m**3 + l*m + 0*m**2 = 0?
0
Let v = 952 + -4741/5. Let t = -166/45 + v. Solve -t*h**3 + 2/9*h**2 - 1/9*h + 0 = 0.
0, 1
Solve 100/13*j**2 + 2/13*j**3 + 432/13 - 424/13*j = 0.
-54, 2
Suppose -747*y + 753*y = 12. Determine o so that -1/4*o**3 + 0 - 1/4*o**4 + 1/4*o**y + 1/4*o = 0.
-1, 0, 1
Let 3/2*y**4 - 9*y**3 + 0 + 15/2*y**2 + 0*y = 0. What is y?
0, 1, 5
Let x(n) be the second derivative of 7*n**6/60 + 9*n**5/40 - 5*n**4/24 - 3*n**3/4 - n**2/2 - 44*n. Factor x(t).
(t -