 + 3*d - 1/10*d**4. Factor k(g).
2*(g - 2)*(g + 1)**3/5
Let l(w) = -w**3 + 27*w**2 - 25*w - 22. Let r be l(26). Factor -2/7*x**5 - 2/7*x**3 + 0 + 0*x**2 + 4/7*x**r + 0*x.
-2*x**3*(x - 1)**2/7
Let a(t) be the third derivative of 1/24*t**4 + 0 + 0*t - 1/420*t**7 + 3*t**2 + 1/120*t**5 - 1/120*t**6 + 0*t**3. Solve a(i) = 0.
-2, -1, 0, 1
Let h be 3/((-9)/60*-4). Factor 0*b - 5*b - 6*b**4 + 4*b + 6*b**2 + 3*b**h - 2*b.
3*b*(b - 1)**3*(b + 1)
Let o be (-1 - -2)*20/5. Suppose -4*z - o*y + 14 = z, -y - 1 = -z. Find b such that b**2 - 5 + 1 + b**z - b**2 = 0.
-2, 2
Factor 5*p**2 - 5*p**2 + 0*p**4 - p**2 + 12 - p**4 - 23*p + 10*p**2 + 3*p**3.
-(p - 4)*(p - 1)**2*(p + 3)
Let h**2 - 907 + 4483 + 216*h - 58 + 2314 + h**2 = 0. What is h?
-54
Let j(x) be the second derivative of -1/2*x**6 - 1/4*x**4 + 4*x + 0*x**2 + 1/7*x**7 + 3/5*x**5 + 0*x**3 + 0. Factor j(w).
3*w**2*(w - 1)**2*(2*w - 1)
Factor 5*u**3 + u**2 + 5*u + 9*u**2 + 0*u**3.
5*u*(u + 1)**2
Let k be -2 - ((-24)/(-18))/(-4) - -2. Let j(q) be the first derivative of k*q**2 + 2/27*q**3 + 4 + 4/9*q. Solve j(t) = 0.
-2, -1
Let v(o) = o**3 - 2*o**2 - o. Let j(p) = -2*p**3 + 4*p**2 + 5*p - 8. Let t = 100 + -99. Let f(h) = t*j(h) + v(h). Solve f(z) = 0 for z.
-2, 2
Suppose 92 = 44*u - 42*u. Suppose 6 = -10*j + u. Factor -3/5*o**3 + 0*o**j + 0*o + 0*o**2 + 3/5*o**5 + 0.
3*o**3*(o - 1)*(o + 1)/5
Let c be (-144)/(-14) - ((-96)/(-42) + -2). Determine h so that 3*h - 10*h - 9*h + 60*h**3 - 62*h**3 + 8 + c*h**2 = 0.
1, 2
Let b(j) be the first derivative of 0*j + 4/21*j**3 + 25 - 2/7*j**2. Let b(h) = 0. What is h?
0, 1
Factor 0*f**2 + 1/2*f**5 + 0*f + 0 + 1/2*f**4 + 0*f**3.
f**4*(f + 1)/2
Suppose c - 8 = -2*z - 6, -c + 5*z - 5 = 0. Let x(b) be the first derivative of 2 - 1/30*b**4 - 2/15*b**2 + c*b + 2/15*b**3. Let x(m) = 0. What is m?
0, 1, 2
Let o(w) be the second derivative of -w**7/840 + w**6/60 - 3*w**5/40 + w**4/6 - w**3 - 8*w. Let z(k) be the second derivative of o(k). Factor z(q).
-(q - 4)*(q - 1)**2
Let d(l) be the first derivative of l**2 + 0*l + 9 - 2/3*l**3. Let d(b) = 0. Calculate b.
0, 1
Let l = 23/33 + 779/66. Suppose -62*x + n = -61*x - 4, x - 10 = -5*n. Determine c, given that -x*c + 1/2*c**2 + l = 0.
5
Let b(i) be the second derivative of i**5/5 + 16*i**4/3 - 2*i**3/3 - 32*i**2 + 175*i. Factor b(z).
4*(z - 1)*(z + 1)*(z + 16)
Let n(y) be the second derivative of y**6/540 - y**5/60 - y**4/9 + 4*y**3 + 10*y + 1. Let a(m) be the second derivative of n(m). Factor a(i).
2*(i - 4)*(i + 1)/3
Let q be (-12)/4 + (-2 - -7). Suppose -18*y**2 - 2*y**3 - 2*y**4 + 10*y**2 + 10*y**2 + 2*y**5 + 0*y**q = 0. What is y?
-1, 0, 1
Let h = -1355 + 1360. Factor 3/7*n**h - 3*n - 6/7*n**4 - 6/7*n**3 + 24/7*n**2 + 6/7.
3*(n - 1)**4*(n + 2)/7
Let q be (-154)/165*10 - -10. Factor -q*n - 8/15*n**2 - 4/15 - 2/15*n**3.
-2*(n + 1)**2*(n + 2)/15
Let a be -2 + 91/21 + (-2)/3. Let s(q) be the first derivative of -15/2*q**2 - 4 - 10*q - a*q**3. What is z in s(z) = 0?
-2, -1
Let k(u) be the third derivative of u**5/60 + 7*u**4/24 + 5*u**3/3 + 10*u**2 - 1. Factor k(n).
(n + 2)*(n + 5)
Factor -7*n - 8*n + 76*n**2 + 20 - 81*n**2.
-5*(n - 1)*(n + 4)
Let r(u) = -u**3 + 3*u**2 + 10*u - 8. Let l be r(6). Let v = -22 - l. Suppose -v*o**2 - 3*o**3 + 29*o**2 - 4*o + 13*o**2 = 0. What is o?
0, 2/3, 2
Factor -3*p**3 - 63/4*p - 93/4*p**2 + 0.
-3*p*(p + 7)*(4*p + 3)/4
Find d such that -8/9*d**2 + 2/9*d**3 + 10/9*d - 4/9 = 0.
1, 2
Solve 54*b**2 - 173*b**2 + 38*b**2 + 41*b**2 - 14 + 61*b - 7*b**3 = 0 for b.
-7, 2/7, 1
Let s(v) be the second derivative of 0 - 4/13*v**2 - 4/39*v**3 - 11*v - 1/78*v**4. Factor s(u).
-2*(u + 2)**2/13
Let l = -1906 - -5720/3. Let -4 - l*w**2 + 10/3*w = 0. Calculate w.
2, 3
Factor 1/4*d**4 + 35/4*d - 35/4*d**3 - 1/4*d**2 + 0.
d*(d - 35)*(d - 1)*(d + 1)/4
Factor -4/7*t**2 + 96/7 - 92/7*t.
-4*(t - 1)*(t + 24)/7
Let r be (12/18)/(5*(-4)/(-12)). Let u(d) be the second derivative of 0 - 6/5*d**2 - r*d**3 + 5*d - 1/20*d**4. Factor u(h).
-3*(h + 2)**2/5
Let c(d) be the third derivative of d**6/1260 - d**4/84 - 11*d**3/6 + 9*d**2. Let a(s) be the first derivative of c(s). Find f, given that a(f) = 0.
-1, 1
Let j(b) be the first derivative of b**3/3 + 4*b**2 + 16*b + 97. Solve j(y) = 0.
-4
Let v(j) be the third derivative of 3/7*j**4 - j**2 + 0 - 18/7*j**3 + 11/140*j**5 + 1/280*j**6 + 0*j. Factor v(i).
3*(i - 1)*(i + 6)**2/7
Let v(q) be the second derivative of -3*q**5/80 - 5*q**4/16 - q**3/2 + 97*q. Determine m so that v(m) = 0.
-4, -1, 0
Let h(x) be the first derivative of -15*x**6/2 - 25*x**5 - 105*x**4/4 - 5*x**3 + 5*x**2 + 334. What is g in h(g) = 0?
-1, 0, 2/9
Factor 5*n**2 - 5 - 1/2*n**3 + 1/2*n.
-(n - 10)*(n - 1)*(n + 1)/2
Factor -2*m**2 - 263*m**3 + 272*m**3 - m**4 + 12*m**2.
-m**2*(m - 10)*(m + 1)
Let t be 328/(-20) + 16 - 2/(-70)*29. Solve 19/7*d - t - 33/7*d**2 + 9/7*d**3 = 0 for d.
1/3, 3
Let b be ((-272)/(-40))/(4/5)*2. Determine l so that 0*l**3 - b*l**5 + l**3 + 16*l**5 = 0.
-1, 0, 1
Let l(w) = w**2 - 13*w - 11. Let u(h) = 2*h - 18. Let j be u(16). Let p be l(j). Solve 3*m + 3/2*m**p + 9/2*m**2 + 0 = 0.
-2, -1, 0
Let h(x) be the third derivative of 1/18*x**5 + 0*x + 27*x**2 + 1/180*x**6 + 0 + 0*x**3 + 1/6*x**4. Solve h(b) = 0 for b.
-3, -2, 0
Suppose -8*d**2 - 7*d + 1569*d**3 + 23*d - 1568*d**3 = 0. What is d?
0, 4
Let t(h) be the second derivative of h**4/12 - 20*h**3 + 1800*h**2 + 51*h - 2. Suppose t(j) = 0. What is j?
60
Suppose 8*y - 4*y + 8 = 0. Let l = y - -6. Let 0 + 0*n + 2/7*n**l - 2/7*n**3 + 0*n**2 = 0. What is n?
0, 1
Let b = 292 - 274. Let l be -5 - (-11 + b/3). Factor l*q + 3/8*q**2 + 0.
3*q**2/8
Let s = -35 - -38. Let q = s + -7. Let f(a) = -9*a**2 + 13*a - 4. Let m(b) = -8*b**2 + 12*b - 4. Let o(c) = q*f(c) + 5*m(c). Let o(j) = 0. What is j?
1
Let t(w) be the second derivative of -w**5/30 + w**3/3 + 5*w**2/2 - 5*w. Let n(c) be the first derivative of t(c). Suppose n(j) = 0. What is j?
-1, 1
Let m(g) = g + 1. Let w be m(11). Suppose -w*v = -15*v + 93. Factor -27*n**2 + 56*n**2 - v*n**2 + 2*n**3.
2*n**2*(n - 1)
Let l(b) be the first derivative of -b**5/30 - b**4/6 - 2*b**3/9 + 28*b + 15. Let c(n) be the first derivative of l(n). Factor c(f).
-2*f*(f + 1)*(f + 2)/3
Let l(w) be the third derivative of 25*w**7/168 + 655*w**6/96 + 127*w**5/8 + 377*w**4/24 + 25*w**3/3 - 183*w**2. Factor l(q).
(q + 25)*(5*q + 2)**3/4
Let f(o) = 10*o**2 + 2*o + 27. Let i(b) = b**2 - 2*b - 1. Let d(u) = 4*f(u) - 36*i(u). Factor d(c).
4*(c + 2)*(c + 18)
Determine p so that -2*p + 1/3*p**2 + 0 = 0.
0, 6
Suppose -6*q = 5*d - 10*q + 9, -2*q = -3*d - 3. Factor 0 + 0*f + 6/5*f**d - 6/5*f**4 + 0*f**2.
-6*f**3*(f - 1)/5
Let r(a) = 5*a**2 - 7*a. Suppose 5*q = 3*g - 2, -q - 4 = g - 2. Let b be (2 + -4)/(q/3). Let t(n) = 11*n**2 - 15*n. Let f(c) = b*t(c) - 13*r(c). Factor f(m).
m*(m + 1)
Let t(s) be the third derivative of -s**8/7 - 16*s**7/105 + 47*s**6/90 + 23*s**5/45 - 11*s**4/18 + 2*s**3/9 + 92*s**2. Solve t(b) = 0.
-1, 1/6, 1
Suppose -b = 5*a - 18, 4*a - b - 230 + 221 = 0. Factor h**4 + 5/3*h - 5/3*h**a - 1/3*h**2 - 2/3.
(h - 1)**2*(h + 1)*(3*h - 2)/3
Suppose 0*i + 4*z - 4 = -2*i, 0 = 5*i - 4*z - 10. Suppose 11 = 4*t - m, -i*t + 2 = -2*m - 2. Factor -3*h**t - 14 + 28 + 2*h - 14 + h**2.
-h*(h - 1)*(3*h + 2)
Let 22/3*h + 43/6 + 1/6*h**2 = 0. What is h?
-43, -1
Let -3 + 9/4*u**2 + 0*u + 3/4*u**3 = 0. Calculate u.
-2, 1
Determine a so that 484/7*a**4 + 64/7 - 752/7*a**3 - 90/7*a**5 + 352/7*a + 96/7*a**2 = 0.
-2/5, -2/9, 2
Let f be 150/(-10) + (-740)/(-37). Let -12/7*l**f - 15*l**2 + 12/7 - 138/7*l**3 - 12/7*l - 69/7*l**4 = 0. What is l?
-2, -1, 1/4
Let f(l) be the second derivative of 2*l**7/63 - 16*l**6/45 + 6*l**5/5 - 16*l**4/9 + 10*l**3/9 + 154*l. Solve f(n) = 0 for n.
0, 1, 5
Suppose -3*h = 6*f - f + 7, -3*f = 15. Suppose 0 = -4*t - 5*c - 10, -3*c - h = t. Factor 0*l**2 - 1/2*l**3 + t - 1/2*l**4 + 0*l.
-l**3*(l + 1)/2
Let u(k) be the first derivative of -1/4*k**4 - 1/2*k**6 + 5/6*k**3 + 1/2*k**2 - 11/10*k**5 + 31 + 0*k. Find t such that u(t) = 0.
-1, -1/2, 0, 2/3
Let k = -5 - -11. Let z be -4 + (k - 0/1). Solve 5*g + z*g**3 + 12 - 15*g - 5*g**3 + 15*g**2 - 14*g = 0 for g.
1, 2
Solve 3*h - 356*h**3 - 3*h**5 - 4*h**5 + 8*h**5 + 350*h**3 + 2*h**5 = 0.
-1, 0, 1
Let o(s) be the first derivative of -4*s**4/7 - 184*s**3/7 - 39*s**2/2 -