pose -9*h - 20 = -19*h. What is r in -4*r**h - 2*r**3 - 3*r - 3*r + 14*r + 16 = 0?
-2, 2
Let p(z) = -z - 3. Let r be p(0). Let u(y) = -6*y**2 + 12*y + 3. Let o(j) = 5*j**2 - 12*j - 2. Let t(x) = r*o(x) - 2*u(x). Factor t(n).
-3*n*(n - 4)
Let u(n) be the second derivative of -3/40*n**5 + 0*n**4 + 0 + 1/40*n**6 + 1/4*n**3 - 3*n - 3/8*n**2. Factor u(w).
3*(w - 1)**3*(w + 1)/4
Let u be (-16)/(-18) - ((-166)/(-18) + -10 - -1). Factor -u*p - 2/9*p**2 + 8/9.
-2*(p - 1)*(p + 4)/9
Let b(o) be the first derivative of 3*o**5/20 + 2*o**4 + 10*o**3 + 24*o**2 + 12*o - 9. Let r(s) be the first derivative of b(s). Factor r(i).
3*(i + 2)**2*(i + 4)
Let s be (3/(-2) + 1)*-2. Suppose -30 = -3*g + 4*c + s, 0 = -2*g - 5*c - 10. Factor 7*t**5 - t**g - 2*t**5 - 15*t**2 - 29*t**4 + 5*t**5 + 33*t**3 + 2*t.
t*(t - 1)**3*(9*t - 2)
Let k(w) be the second derivative of w**9/3024 - w**8/560 + w**7/280 - w**6/360 - w**3/2 - 12*w. Let o(f) be the second derivative of k(f). Factor o(c).
c**2*(c - 1)**3
Let g(d) be the second derivative of -6*d**2 + 9/10*d**5 + 0 - 13/4*d**4 + 6*d**3 - 47*d - 1/10*d**6. Factor g(i).
-3*(i - 2)**2*(i - 1)**2
Let a(f) = f**2 - 2*f. Let g(y) = 16*y**2 + 11*y - 2. Let m(l) = -a(l) + g(l). Factor m(z).
(z + 1)*(15*z - 2)
Let y(l) be the third derivative of l**6/200 + 7*l**5/100 + 4*l**2 + 11. Determine t, given that y(t) = 0.
-7, 0
Let y = 7742 - 131610/17. Find h, given that y*h + 0 - 2/17*h**2 = 0.
0, 2
Solve 8450/3*j**2 + 8/3 - 520/3*j = 0 for j.
2/65
Let a(v) be the second derivative of -5*v**4/4 + 65*v**3/3 - 40*v**2 + 5*v + 2. Suppose a(q) = 0. What is q?
2/3, 8
Let h(s) be the first derivative of 4*s**5/25 - 4*s**3/5 + 4*s**2/5 - 214. Let h(l) = 0. Calculate l.
-2, 0, 1
Let d(x) be the third derivative of -x**6/240 + x**5/12 - 25*x**4/48 - 5*x**2 + 4. Factor d(l).
-l*(l - 5)**2/2
Let g(f) be the third derivative of 11*f**2 + 0*f + 0 + 0*f**4 - 1/150*f**6 + 0*f**5 + 1/210*f**8 + 0*f**3 + 1/75*f**7. Determine i, given that g(i) = 0.
-2, 0, 1/4
Let a(l) be the third derivative of l**6/160 + l**5/48 - 47*l**4/96 + 5*l**3/8 - l**2 - 165. Factor a(s).
(s - 3)*(s + 5)*(3*s - 1)/4
Let t be (12/(-18))/(5/(-10)). Suppose 4/3*u - t - 4/3*u**3 + 4/3*u**2 = 0. Calculate u.
-1, 1
Let y(j) be the third derivative of j**9/332640 - j**7/27720 - 17*j**5/60 + 11*j**2. Let m(i) be the third derivative of y(i). Suppose m(b) = 0. Calculate b.
-1, 0, 1
Let w(n) be the third derivative of -n**5/150 - n**4/6 - 3*n**3/5 - 6*n**2 - 3. Factor w(u).
-2*(u + 1)*(u + 9)/5
Let c be (186/(-30) + (-1)/(-5))/(-2). Suppose d = -3*n - 6, c*d - 2*n = -0*n + 15. Factor -2/3*b**d - 2/3*b**5 + 4/3*b**4 + 0*b + 0 + 0*b**2.
-2*b**3*(b - 1)**2/3
Let a(k) be the second derivative of 1/3*k**3 - 22*k + 0 - 1/10*k**5 - 1/6*k**4 + k**2. Factor a(j).
-2*(j - 1)*(j + 1)**2
Let q(w) be the second derivative of -1089*w**6/10 - 99*w**5/10 + 272*w**4 + 33*w**3 + 3*w**2/2 + 374*w. Solve q(u) = 0 for u.
-1, -1/33, 1
Let d(r) = -r**2 + r - 1. Let a(f) = 7*f**2 + 258*f + 17430. Let j(i) = -a(i) - 6*d(i). Determine b, given that j(b) = 0.
-132
Let m(i) = 33*i**3 - 5*i**2 - 95*i + 73. Let h(p) = 65*p**3 - 10*p**2 - 190*p + 145. Let o(u) = 3*h(u) - 5*m(u). Factor o(x).
5*(x - 1)*(x + 2)*(6*x - 7)
Let x(s) be the third derivative of s**8/560 - s**7/175 - s**6/50 + 2*s**5/25 - 590*s**2. Suppose x(n) = 0. Calculate n.
-2, 0, 2
Let z be 4*(-120)/(-2255)*15. Let a = z + -34/41. Suppose 2/11*v**4 + a*v + 8/11 + 14/11*v**3 + 30/11*v**2 = 0. Calculate v.
-4, -1
Let s(g) be the first derivative of -7*g**3/5 + 6*g**2 - 36*g/5 - 47. Suppose s(b) = 0. What is b?
6/7, 2
Let b = -8407 + 42037/5. Factor -2/5 - 6/5*m - 6/5*m**2 - b*m**3.
-2*(m + 1)**3/5
Let j = 11 - 6. Solve -10*a**4 - 20*a + 80*a**2 + 20*a**3 - 36*a**3 - 22*a**3 + 25*a**j - 37*a**3 = 0.
-2, 0, 2/5, 1
Suppose 10*b + 72 = 18*b. Suppose 47 = 14*n - b. Solve 4/7*q**4 + 4/7 - 2*q - 2*q**5 - 8/7*q**2 + n*q**3 = 0 for q.
-1, 2/7, 1
Find q, given that -4/9 + 2/3*q + 10/9*q**2 = 0.
-1, 2/5
Let v = 52 + -50. Determine h so that -4 - h**3 - 16*h - v*h**2 + 48*h - 25*h = 0.
-4, 1
Let c(h) = 3*h + 67. Let k be c(-22). Let s(u) be the first derivative of -2/33*u**3 + k + 2/11*u**2 + 6/11*u. Find i, given that s(i) = 0.
-1, 3
Let g(p) = 10*p**2 + 5*p + 7. Let b(h) = h**2 - 2*h + 1. Let x(a) = -2*a**2 + 3*a - 2. Let n(c) = 5*b(c) + 3*x(c). Let w(f) = -5*g(f) - 35*n(f). Factor w(r).
-5*r*(3*r - 2)
Factor 2/9*b**4 + 0 - 8/3*b**3 + 14/3*b**2 - 20/9*b.
2*b*(b - 10)*(b - 1)**2/9
Let r(f) = 2*f**3 + 53*f**2 + 29*f + 81. Let d be r(-26). Factor 2/13*s**d + 0*s**2 + 0*s + 4/13*s**4 + 0 + 2/13*s**5.
2*s**3*(s + 1)**2/13
Let a be (2 - (3 + 1 + -14))*6. Suppose a - 70 = h. Factor 0 - 1/3*y**h + 1/6*y + 1/6*y**3.
y*(y - 1)**2/6
Let c(a) be the first derivative of a**3/3 + 31*a**2/2 - 32*a + 526. Let c(k) = 0. What is k?
-32, 1
Let y(b) = 15*b - 163. Let l be y(11). Let q(j) = -j + 7. Let m be q(-5). Factor -m - 16*n**l - n**3 + 21*n + 4*n**3 + n**2 + 3.
3*(n - 3)*(n - 1)**2
Let l(g) be the second derivative of 0 - 1/42*g**4 - 18*g + 5/7*g**2 + 4/21*g**3. Factor l(w).
-2*(w - 5)*(w + 1)/7
Factor -55*c**2 + 3*c**3 - 3*c**3 - 9 + 113*c - 48 - c**3.
-(c - 1)**2*(c + 57)
Let q(v) be the first derivative of -v**7/42 - 7*v**6/30 - 4*v**5/5 - v**4 + 7*v - 31. Let i(t) be the first derivative of q(t). Factor i(n).
-n**2*(n + 2)**2*(n + 3)
Let u(a) be the third derivative of 1/15*a**6 + 0*a**3 - 1/105*a**7 + 0*a + 2/15*a**5 + 15*a**2 + 0*a**4 - 1/168*a**8 + 0. Find w, given that u(w) = 0.
-2, -1, 0, 2
Let j = -960 + 960. Solve 2/13*w**2 - 4/13*w**3 + j*w + 0 + 2/13*w**4 = 0.
0, 1
Suppose -5 = -n - i, 2*i + 6 - 25 = -5*n. Let 4*f**n + 10*f**2 - 29*f + 5*f**2 - 3*f**2 - 7*f + 20 = 0. What is f?
-5, 1
Factor 34/19*d**3 - 40/19*d + 0 - 336/19*d**2.
2*d*(d - 10)*(17*d + 2)/19
Let f = -5 - -8. Determine s so that -194*s**2 + 179*s**2 + 31*s - 5*s**f + 14*s - 25 = 0.
-5, 1
Solve 3408/7*p**2 + 256/7 + 844/7*p**3 + 4672/7*p + 10*p**4 = 0.
-4, -2/35
Let k(l) be the third derivative of -l**6/24 + 7*l**5/12 + 35*l**4/6 + 50*l**3/3 + 123*l**2. Determine t so that k(t) = 0.
-2, -1, 10
Let q(l) be the first derivative of 3*l**5/5 - 3*l**4/2 - l**3 + 3*l**2 - 530. Find y, given that q(y) = 0.
-1, 0, 1, 2
Let y(z) be the third derivative of z**7/1260 - z**6/60 + 2*z**5/15 - 4*z**4/9 - 2*z**3 + 7*z**2. Let p(i) be the first derivative of y(i). Factor p(v).
2*(v - 4)**2*(v - 1)/3
Let w(o) be the first derivative of o**6/75 - o**5/25 + o**4/30 + 15*o + 3. Let u(i) be the first derivative of w(i). Determine c so that u(c) = 0.
0, 1
Let k(h) be the first derivative of -h**2/2 - 2*h - 9. Let w be k(-6). Factor 0*s**w + 2*s**4 + 4*s**2 + 6*s**3 + 0*s**2 + 0*s**4.
2*s**2*(s + 1)*(s + 2)
Let m(t) be the second derivative of -16*t + 2/15*t**2 + 1/225*t**6 - 7/45*t**3 + 1/10*t**4 + 0 - 1/30*t**5. Determine q, given that m(q) = 0.
1, 2
Suppose -n = 9 - 7. Let y be 40/15*(-3)/n. Determine r so that -6*r**5 - 8*r - 16/3 - 70*r**3 + 164/3*r**2 + 104/3*r**y = 0.
-2/9, 1, 2
Let z(c) = 2*c**3 - 2*c**2 - 2*c - 2. Let x(k) = 8*k**3 - 9*k**2 - 66 - 6*k + 57 - 2*k. Let n(s) = -4*x(s) + 18*z(s). Factor n(p).
4*p*(p - 1)*(p + 1)
Let l(j) be the third derivative of 0*j + 1/112*j**8 + 2/35*j**7 + 1/5*j**5 + 0*j**3 + 3/20*j**6 - 4*j**2 + 1/8*j**4 + 0. Factor l(k).
3*k*(k + 1)**4
Let x(o) = 3*o**2 + 213*o - 12. Let u(t) = 4*t**2 + 212*t - 14. Let r(w) = 6*u(w) - 7*x(w). Factor r(q).
3*q*(q - 73)
Suppose 0 = -19*r + 15*r - 312. Let t be 26/r - 68/(-42). Factor 9/7*a**3 - 3/7*a**4 - t*a**2 + 0 + 3/7*a.
-3*a*(a - 1)**3/7
Let w(m) = -m**2 - 3*m + 15. Let o be w(-5). Suppose -b + o = 1. Determine y so that -2/7*y**b + 4/7*y**3 - 4/7*y + 2/7 + 0*y**2 = 0.
-1, 1
Suppose -4*h = -3*c - 17 + 1, 0 = -5*c - 20. Let y(b) be the first derivative of 1/9*b**3 - h + 0*b**2 + 0*b. Suppose y(f) = 0. Calculate f.
0
Let s = -35 + 39. Suppose -11 = -3*h + s. Factor z**h - 2*z - 3*z**5 + 19 - 21 - 2*z**4 + 4*z**2 + 4*z**3.
-2*(z - 1)**2*(z + 1)**3
Let n = -1252 - -1257. Let g(o) be the first derivative of 0*o + 2/21*o**3 + n + 3/7*o**2. Solve g(h) = 0.
-3, 0
Let i(u) be the second derivative of 7*u**5/90 - 5*u**4/54 - 2*u - 6. Solve i(m) = 0 for m.
0, 5/7
Let y(r) be the second derivative of -r**8/10920 - r**7/1820 + r**5/195 - 7*r**3/6 + 3*r. Let a