 + 15*h - 7. Let q(l) = -5*l**2 - 7*l + 3. Let g = -5 + 12. Let n(b) = g*q(b) + 3*u(b). Find m such that n(m) = 0.
-2, 0
Let n(a) be the second derivative of a**4/3 - 4*a**3/3 - 16*a**2 + 13*a. Suppose n(t) = 0. Calculate t.
-2, 4
Let -4*t + 12*t - 5*t**2 + 9*t**2 + 0*t - 12*t**3 = 0. What is t?
-2/3, 0, 1
Let s be -5*(-8)/300*(-30)/(-9). Find r such that 2/3*r - 2/9*r**2 - s = 0.
1, 2
Let f(m) be the first derivative of m**7/210 - m**6/480 + m**2 - 1. Let z(a) be the second derivative of f(a). Determine s so that z(s) = 0.
0, 1/4
Let d(b) = 3*b**2 - 6*b - 12. Let l(j) = 3*j**2 - 6*j - 13. Let z(x) = 4*d(x) - 3*l(x). Factor z(u).
3*(u - 3)*(u + 1)
Let u(m) be the second derivative of -3*m - 1/20*m**5 + 1/6*m**3 - 1/3*m**4 + 2/15*m**6 + 0*m**2 + 0. Factor u(f).
f*(f - 1)*(f + 1)*(4*f - 1)
Let d(q) be the third derivative of 1/12*q**4 + 0 + 1/90*q**5 + 0*q - 3*q**2 + 0*q**3. Solve d(u) = 0.
-3, 0
Let g = 11 - 7. Let w be 26/8 - (-3)/(-12). Let -k - 2*k**w - k + g*k = 0. Calculate k.
-1, 0, 1
Let o = -12295/3 - -4281. Let h = o - 181. Solve -8/3*l - 4/3 + h*l**2 = 0.
-2/5, 2
Let z(n) be the first derivative of -n**3/3 + 3*n**2/2 - 2*n + 10. Factor z(m).
-(m - 2)*(m - 1)
Let q(z) = -z**2 + 2. Let p(f) = -f**2 - 9*f + 9*f. Let y be p(-3). Let s(x) = 4*x**2 - x - 9. Let a(n) = y*q(n) - 2*s(n). Factor a(u).
u*(u + 2)
Let t(n) be the second derivative of 10*n**7/21 + n**6/2 - 13*n**5/4 - 5*n**4/12 + 15*n**3/2 - 5*n**2 - 27*n. Let t(y) = 0. What is y?
-2, -1, 1/4, 1
Let k(o) be the first derivative of -1/2*o - 1/8*o**2 + 1/12*o**3 + 6. Let k(h) = 0. Calculate h.
-1, 2
Let q(a) = -a**3 - 3*a**2 - 9*a - 12. Let r be q(-2). Suppose 0*f**r + 0 - 2/9*f**3 - 2/9*f**5 + 0*f + 4/9*f**4 = 0. Calculate f.
0, 1
Let u be (-96 + 0)*(-75)/105. Factor -2160/7*q**3 - 486/7*q**5 - u*q + 1620/7*q**4 + 1440/7*q**2 + 64/7.
-2*(3*q - 2)**5/7
Let p(t) = -2*t**2 - 15*t + 10. Let z be p(-8). Let i(l) be the second derivative of 1/3*l**z + 1/36*l**4 - 1/6*l**3 + 0 - l. Factor i(a).
(a - 2)*(a - 1)/3
Suppose 5*c = -5*w, 0 = w - 5*c + 5 + 1. Let y = w - -1. Determine u so that y*u**5 - 11*u**3 - u**5 + 12*u**3 = 0.
-1, 0, 1
Let y be (20 - 24) + (-9)/(-2). Let r(n) be the second derivative of 0 + 3/10*n**6 - 3*n - y*n**2 + n**3 - 3/10*n**5 - 2/3*n**4. Factor r(g).
(g - 1)*(g + 1)*(3*g - 1)**2
Let g(x) be the first derivative of -x**4/48 + x**3/24 - 5*x - 7. Let m(b) be the first derivative of g(b). Let m(a) = 0. What is a?
0, 1
Let f(t) be the third derivative of -t**6/30 - t**5/5 + 8*t**3/3 + 20*t**2. Factor f(g).
-4*(g - 1)*(g + 2)**2
Factor -12/5*m**5 + 0*m**2 + 0 + 8/5*m**3 - 4/5*m**4 + 0*m.
-4*m**3*(m + 1)*(3*m - 2)/5
Let t = 0 + 3. Suppose 0 = -t*a + 3, 0 = -m + 5*a - 0 - 3. Factor -6*r**m + r**2 + 3*r**2.
-2*r**2
Let r(s) be the first derivative of 54*s**5/5 + 33*s**4 + 314*s**3/9 + 44*s**2/3 + 8*s/3 - 3. Factor r(p).
2*(p + 1)**2*(9*p + 2)**2/3
Factor -24/5*l**2 + 0 - 9/5*l**4 + 33/5*l**3 - 12/5*l.
-3*l*(l - 2)**2*(3*l + 1)/5
Let k(v) = -v + 9. Let t be k(7). Factor -a**3 - 3*a**t - 2 + 4*a**2 + a**4 - 2*a**3 + 3*a.
(a - 2)*(a - 1)**2*(a + 1)
Let j = -9 - -11. Factor 14*s**4 - 3*s + 9*s + 27*s**3 - 18*s**2 + s**4 + 3*s**5 + 39*s**j.
3*s*(s + 1)**3*(s + 2)
Let y(m) = -3*m**2 - m + 2. Let z(b) = 11*b**2 + 3*b - 8. Suppose 5*w - 3*w = 36. Let v(g) = w*y(g) + 4*z(g). Factor v(x).
-2*(x + 1)*(5*x - 2)
Let x(m) be the first derivative of -m**6/12 + m**4/8 + 7. Let x(w) = 0. Calculate w.
-1, 0, 1
Let q = 314/553 - -2/553. Let z(x) be the second derivative of 4/21*x**3 + q*x**2 + 0 + 1/42*x**4 - 2*x. Factor z(g).
2*(g + 2)**2/7
Let z(q) be the second derivative of 27*q**4 - 24*q**3 + 8*q**2 + 11*q. Find s, given that z(s) = 0.
2/9
Let u be 9/(-36) - 25/(-4). Let n be ((-22)/165)/(u/(-10)). Factor n*d**3 + 0*d + 0 - 2/9*d**2.
2*d**2*(d - 1)/9
Let i(k) = -k**3 - 13*k**2 - 41*k + 7. Let m be i(-7). Find q, given that 3*q**3 + 7/3*q**2 + m + 1/3*q**5 + 5/3*q**4 + 2/3*q = 0.
-2, -1, 0
Let a(k) be the first derivative of k**5/60 - k**4/6 + 2*k**3/3 + 3*k**2/2 - 8. Let d(x) be the second derivative of a(x). Factor d(n).
(n - 2)**2
Suppose -7*r + 10 + 4 = 0. Factor 0*i**r - 3/5*i**5 - 3/5*i**3 + 0*i + 6/5*i**4 + 0.
-3*i**3*(i - 1)**2/5
Let c(q) be the first derivative of 7 - 1/6*q**4 + 1/3*q**2 + 0*q + 0*q**3. Factor c(y).
-2*y*(y - 1)*(y + 1)/3
Let k(x) = -2*x + x - 3*x. Let d be k(-1). Solve -2*o**2 - 2*o + 4*o + d*o**2 = 0 for o.
-1, 0
Let y(q) = -q**2 + 21*q - 68. Let k be y(17). Suppose -2/9*x**4 + 2/9*x**2 + 0*x + 0*x**3 + k = 0. What is x?
-1, 0, 1
Suppose 3*j - 11 = -2. Factor 6/7*x + 4/7 - 2/7*x**j + 0*x**2.
-2*(x - 2)*(x + 1)**2/7
Suppose 2/9*z**5 - 2/9*z**4 - 2/3*z**3 + 4/9*z + 2/9*z**2 + 0 = 0. What is z?
-1, 0, 1, 2
Let g(n) be the first derivative of 1/6*n**3 + 5 - n**2 + 3/2*n. Suppose g(m) = 0. Calculate m.
1, 3
Suppose 5*c = -0*c. Let x(u) be the third derivative of 0*u**4 - 1/630*u**7 + 0 + 2*u**2 + 1/90*u**5 + 0*u + c*u**6 - 1/18*u**3. Factor x(q).
-(q - 1)**2*(q + 1)**2/3
Let q(y) be the third derivative of y**5/150 + 25*y**2. Let q(h) = 0. Calculate h.
0
Suppose -4*a - 4*b = -28, 3*b = a + 6 + 7. Suppose 4*n**a - 1 - n**2 - 2*n**2 = 0. What is n?
-1, 1
Let t(w) = w**4 - 31*w**3 - 24*w**2 - 2*w + 2. Let n(z) = z**4 + z**2 + z - 1. Let k(b) = 2*n(b) + t(b). Factor k(r).
r**2*(r - 11)*(3*r + 2)
Let a(i) be the first derivative of -i**6/180 - i**5/45 - i**4/36 - i**3 + 8. Let f(y) be the third derivative of a(y). Factor f(o).
-2*(o + 1)*(3*o + 1)/3
Let i(d) be the first derivative of d**5/9 - 13*d**4/36 - 2*d**3/9 + 7. Factor i(a).
a**2*(a - 3)*(5*a + 2)/9
Suppose -2*f + 12 = 4. Find n, given that 2*n**3 + 3*n**3 + f*n**2 - 3*n**3 = 0.
-2, 0
Let d be (-14)/(84/(-18)) - 23/9. Factor -2/9*o**2 - d*o - 2/9.
-2*(o + 1)**2/9
Let h(l) be the third derivative of 0*l**3 + 0*l**6 + 1/120*l**4 - 1/150*l**5 + 1/525*l**7 + 0 + 0*l + 8*l**2 - 1/1680*l**8. Factor h(i).
-i*(i - 1)**3*(i + 1)/5
Factor 1/4 - 3/4*y + 3/4*y**3 - 1/4*y**2.
(y - 1)*(y + 1)*(3*y - 1)/4
Let h be 28/62 - 0/17. Let n = 256/155 - h. Find l, given that -3/5*l**2 - n - 9/5*l = 0.
-2, -1
Let t(d) = -d**2 + 8*d + 4. Let l be t(8). Suppose -l*a = a. Let -1 + r**2 + a + 0 = 0. What is r?
-1, 1
Let w = -79 + 76. Let g(i) = i**2 + i. Let u be 2/(-6) + 4/(-6). Let t(v) = -6*v. Let x(f) = u*t(f) + w*g(f). Determine n, given that x(n) = 0.
0, 1
Let m = -10 + 8. Let q be 1 - m - 7/3. Find o, given that -q*o**2 + 4/3*o - 2/3 = 0.
1
Suppose 1 + 5 = 2*a. Let i(y) be the first derivative of 0*y + 2/9*y**a - 2/3*y**2 + 1. Solve i(o) = 0.
0, 2
Let g(i) be the first derivative of 3 - 18*i**2 + 8*i + 16/3*i**3. Let g(u) = 0. Calculate u.
1/4, 2
Suppose 7 + 1 = 4*h. Factor -2*y**2 + y**h - 5*y**2 + 8*y - 3 + 1.
-2*(y - 1)*(3*y - 1)
Suppose -4*k - 12 = -8*k. Suppose k*t - 3 = 3. Factor f + 0*f + f**3 + f - t - 5*f.
(f - 2)*(f + 1)**2
Let n(v) be the third derivative of 0*v**3 - 1/147*v**7 + 1/210*v**5 + 1/84*v**4 + 0 + 3*v**2 - 1/140*v**6 - 1/588*v**8 + 0*v. Factor n(i).
-2*i*(i + 1)**3*(2*i - 1)/7
Let c(l) = l**3 - l**2 + l + 1. Let f(n) = -2*n**3 + 2*n**2 + 20*n + 10. Let q(y) = -6*c(y) + f(y). Suppose q(d) = 0. Calculate d.
-1/2, 2
Let j(p) be the first derivative of -p**4/8 - p**3 + 15*p**2/4 - 4*p + 21. Factor j(a).
-(a - 1)**2*(a + 8)/2
Let d(p) be the second derivative of 1/15*p**3 + 0*p**2 + 4*p + 0 - 3/20*p**4. Factor d(n).
-n*(9*n - 2)/5
Let c(w) be the third derivative of 2*w**2 + 13/150*w**5 + 0 + 4/15*w**3 - 1/50*w**6 + 1/525*w**7 + 0*w - 1/5*w**4. Factor c(v).
2*(v - 2)**2*(v - 1)**2/5
Factor -3/2*a - 27/4*a**4 - 15/4*a**2 + 12*a**3 + 0.
-3*a*(a - 1)**2*(9*a + 2)/4
Let t be (3/(-5))/(3/(-12)). Factor 0*n + 16/5*n**2 + 2/5*n**5 + 0 + 24/5*n**3 + t*n**4.
2*n**2*(n + 2)**3/5
Let q = 295 - 4423/15. Let d(u) be the first derivative of 4/5*u**2 + q*u**3 + 8/5*u - 1. What is i in d(i) = 0?
-2
Let l(v) = 3*v - 10. Let a be l(4). What is c in -1 - 2*c - 9*c**a + 3*c**3 + 11*c - 2 = 0?
1
Let m(n) = -n + 10. Let u be m(9). Let v be u*3/6*14. Let 3*b**2 + 8*b**3 - 6*b**2 + 3*b**4 - v*b**3 - b = 0. What is b?
-1, -1/3, 0, 1
Let j(z) be the third derivative of -3*z**6/160 + z**5/80 + z**4/8 + 21*z**2. Suppose j(f) = 0. Calculate f.
-1, 0, 4/3
Let t(m) be the first derivative of -2 + 3/7*m**4 + 10/21*m**3 + 0*m + 1/7*m**2. Factor 