*2 - 49/3 - 21*z - 1/3*z**h.
-(z + 1)*(z + 7)**2/3
Let g(v) = 27*v**3 - 91*v**2 - 195*v + 248. Let a(r) = -5*r**3 + 18*r**2 + 39*r - 50. Let s(q) = -33*a(q) - 6*g(q). Solve s(f) = 0.
-3, 1, 18
Let h(j) be the second derivative of -j**6/10 - 31*j**5/20 + 25*j**4/12 + 31*j**3/6 - 11*j**2 + 43*j - 6. Determine w, given that h(w) = 0.
-11, -1, 2/3, 1
Let v(l) = 5*l**2 + 9*l - 4. Let h(k) = -9*k**2 - 19*k + 7. Let s(n) = 4*h(n) + 7*v(n). Factor s(r).
-r*(r + 13)
Find v, given that v**2 + 1/2*v**3 + 0 - 3/2*v = 0.
-3, 0, 1
Let z be (4/3)/(5/((-15)/2)). Let r(m) = -3*m**2 - 50*m - 123. Let o(s) = 5*s**2 + 100*s + 245. Let d(q) = z*o(q) - 5*r(q). Suppose d(b) = 0. Calculate b.
-5
Let y(x) = -x**4 + x**3 + x + 1. Let s(i) = -2*i**3 + 3*i**2 + 4*i + 1. Let a be (-196)/(-35) + 2/5. Suppose 3*g = 3 - a. Let c(d) = g*s(d) - y(d). Factor c(b).
(b - 2)*(b + 1)**3
Let z(k) = -5*k**2 + 13*k - 7*k - 8*k - 5*k. Let s(j) = 3*j**2 + 3*j. Let g(h) = -11*s(h) - 6*z(h). Suppose g(u) = 0. Calculate u.
0, 3
Let z(a) be the third derivative of -a**7/420 - a**6/48 + a**5/120 + 17*a**4/48 - a**3 - 234*a**2. Let z(o) = 0. Calculate o.
-4, -3, 1
Find z such that -2/9*z**4 - 2/3*z**3 + 14/9*z**2 + 10/3*z - 4 = 0.
-3, 1, 2
Let a be -10*8/540*-3. Let v(y) be the first derivative of 1/6*y**4 - a*y**3 - 6 + 1/3*y**2 + 0*y. Find u such that v(u) = 0.
0, 1
Let p(s) be the second derivative of 8*s + 1/10*s**4 - 1/50*s**5 - 1/75*s**6 + 1/3*s**3 + 0 + 2/5*s**2. Factor p(c).
-2*(c - 2)*(c + 1)**3/5
Suppose 2*b - 15 = 7*b, 4*b + 12 = -2*i. Let j(h) be the first derivative of -2/75*h**5 + 0*h**2 + i*h**4 + 0*h + 1/45*h**6 + 0*h**3 - 4. Factor j(a).
2*a**4*(a - 1)/15
Let m(c) be the first derivative of -3*c**5/25 - 6*c**4/5 + 225. Let m(t) = 0. Calculate t.
-8, 0
Let r(o) be the second derivative of -1/3*o**3 - 5/48*o**4 + 11*o + 1/2*o**2 + 0. Factor r(j).
-(j + 2)*(5*j - 2)/4
Let g(i) = i. Let q be g(4). Let o be 0/((-2)/q*-2). Factor 3*b**2 + 5*b**2 - 20*b + o*b**2 + 20*b**3 - 12 + 4.
4*(b - 1)*(b + 1)*(5*b + 2)
Let u(y) = -150*y**2 + 154*y + 21. Let k(q) = 75*q**2 - 77*q - 8. Let p(f) = 5*k(f) + 2*u(f). Determine m so that p(m) = 0.
2/75, 1
Factor -21*y + 4*y**2 - 51*y + 61 + 7.
4*(y - 17)*(y - 1)
Suppose l + 7 + 2 = 3*u, 5*l = 2*u - 6. Let m(q) be the third derivative of 1/80*q**5 + 1/32*q**4 + u*q**2 + 1/24*q**3 + 1/480*q**6 + 0*q + 0. Factor m(x).
(x + 1)**3/4
Let w(i) be the second derivative of 4*i + 1/6*i**6 + 5/3*i**4 + 0 + 0*i**2 - 5/4*i**5 + 0*i**3. Suppose w(r) = 0. What is r?
0, 1, 4
Find p, given that 15/4*p + 3/2 + 3/2*p**2 = 0.
-2, -1/2
Let o(j) be the third derivative of 2*j**7/945 - j**6/54 + 8*j**5/135 - 2*j**4/27 - 2*j**2 - 26*j. Factor o(k).
4*k*(k - 2)**2*(k - 1)/9
Let m(t) be the third derivative of 0*t**3 + 0 + 1/12*t**5 + 0*t - 8*t**2 + 5/36*t**4 + 1/72*t**6. Suppose m(c) = 0. Calculate c.
-2, -1, 0
Suppose 4*s + 15 = 43. Let y = -3 + s. Factor -3*c**5 + 15*c**y + 3 + 7*c - 30*c**3 + 29*c**2 + c**2 + 0*c**5 - 22*c.
-3*(c - 1)**5
Suppose 0 = -3*n, n = -j - 1 + 6. Suppose m + 76 = j*m. Solve -m*z**2 + 21*z**2 + 3*z + z + 2 = 0.
-1
Let j(g) be the first derivative of -g**6/72 - g**5/8 - 19*g**3/3 + 15. Let z(b) be the third derivative of j(b). Find t such that z(t) = 0.
-3, 0
Let p = -2/553 + 4434/2765. Factor 2/5*t**3 + 4/5 + p*t**2 + 2*t.
2*(t + 1)**2*(t + 2)/5
Let d(c) = c**3 + c**2 + c + 2. Let u(t) = 4*t**3 - 18*t**2 - 64*t - 36. Let p(q) = 12*d(q) - 2*u(q). What is y in p(y) = 0?
-8, -3, -1
Let y(h) be the first derivative of h**5 - 5*h**4/2 - 35*h**3/3 + 50*h**2 - 60*h + 260. What is s in y(s) = 0?
-3, 1, 2
Suppose 15*u + 33 = 4*u. Let j be ((-90)/(-27))/((-2)/u) + -2. Factor 3/2 - 3/2*q**j - 3/2*q**2 + 3/2*q.
-3*(q - 1)*(q + 1)**2/2
Solve 0*g + 18/13*g**4 - 4/13*g**3 + 0*g**2 + 0 = 0.
0, 2/9
Suppose 0 + 220/3*g**3 + 50/3*g**4 + 82/3*g**2 + 8/3*g = 0. Calculate g.
-4, -1/5, 0
Suppose 2*f = 3*o - 43, 5*o + 42 = -f + 105. Let b(u) = u**3 - 12*u**2 - 14*u + 17. Let y be b(o). Solve 4/5 - 6/5*q**5 + 2*q + 0*q**2 - y*q**4 - 4*q**3 = 0.
-1, 2/3
Let m be 854/1680 + 3/(-8). Let x(v) be the second derivative of -9*v - 6/5*v**5 + 0*v**2 + 0*v**3 + 0 + 3*v**4 + m*v**6. Find y, given that x(y) = 0.
0, 3
Let j be (-1)/60*(8 - 50/6). Let b(f) be the third derivative of 0*f - 1/18*f**3 + 0*f**5 + j*f**6 + 2*f**2 - 1/36*f**4 + 1/630*f**7 + 0. Factor b(x).
(x - 1)*(x + 1)**3/3
Let f(n) = -n**3 - 2*n**2 - 2*n + 6. Let x be f(3). Let c = x + 45. Solve -2/7*h + 0 + c*h**2 + 2/7*h**3 = 0 for h.
-1, 0, 1
Suppose -5*o = -3*l - 19, -o + 3 = -2*l - 5. Let s be 1/3 - (-1)/l. Find t, given that 2*t**3 - 6*t**2 + s*t + 4*t + 0*t = 0.
0, 1, 2
Let m(q) = 0*q + 5*q - 4*q - 4. Let l be m(8). Solve 3*k**l + 10*k - 9*k**2 + 12 - 6*k**3 + 10*k - 8*k = 0 for k.
-1, 2
Solve -1/5*d**4 - 189/5*d**2 - 242/5 - 407/5*d - 5*d**3 = 0.
-11, -2, -1
Let f be ((-264)/440)/((-24)/5). Let v(r) be the second derivative of -1/6*r**3 - 6*r + 0 + 0*r**2 + f*r**5 - 1/8*r**4. Factor v(z).
z*(z - 1)*(5*z + 2)/2
Let s(m) be the first derivative of -m**5 + 35*m**4/2 - 125*m**3/3 + 30*m**2 + 87. Let s(a) = 0. What is a?
0, 1, 12
Let c(h) be the third derivative of 2*h**7/105 + h**6/10 - 2*h**2 - 15. Determine a, given that c(a) = 0.
-3, 0
Let v(r) = 15*r**3 + 3*r**2 - 12. Let m(l) = -15*l**3 - 2*l**2 + 16. Let q(a) = 3*m(a) + 4*v(a). Factor q(n).
3*n**2*(5*n + 2)
Let z(l) be the first derivative of l**5/30 + l**4/3 + l**3 + 6*l**2 - 8. Let w(d) be the second derivative of z(d). Factor w(a).
2*(a + 1)*(a + 3)
Determine w so that -1/3*w**2 + 8*w + 52/3 = 0.
-2, 26
Let n(g) = g - 2. Suppose 0*o - 3*o = 5*c - 21, -4*c = -4*o + 28. Let u be n(o). Factor u - 1 - 4 - p**4 - p**3.
-p**3*(p + 1)
Suppose 4*j + 30 = -j. Let r be (-15)/(-25)*(-4)/j. Factor -r*c**2 + 0 + 6/5*c.
-2*c*(c - 3)/5
Solve 1/4*o**4 - 91*o + 111/2*o**2 - 7*o**3 + 169/4 = 0 for o.
1, 13
Let b(m) be the third derivative of -m**6/660 + m**5/55 - 32*m**3/33 - m**2 + 10*m. Determine a so that b(a) = 0.
-2, 4
Let p = 393 - 390. Let v = -103/2 - -737/14. Factor -v*k**2 + 0 + 2/7*k**p + 6/7*k.
2*k*(k - 3)*(k - 1)/7
Let q(m) = -74*m - 148. Let u be q(-2). Let u*b + 0*b**2 + 0 - 2/9*b**3 - 1/9*b**4 = 0. Calculate b.
-2, 0
Let d(t) = t**2 - 2*t + 2. Let x be d(2). Suppose l = -x*l. Suppose u**2 + 0*u**2 + u**3 - u**4 + 0*u**4 - u + l*u = 0. What is u?
-1, 0, 1
Find k such that -34/5*k - 36/5 + 2/5*k**2 = 0.
-1, 18
Let -90*w + 58/5*w**3 + 2/5*w**4 + 78*w**2 + 0 = 0. What is w?
-15, 0, 1
Let r(j) be the third derivative of -j**8/50400 - j**7/1575 - 2*j**6/225 - j**5/6 - 12*j**2. Let t(k) be the third derivative of r(k). Solve t(x) = 0 for x.
-4
Let s(m) be the first derivative of 4*m**5/25 - 4*m**4/5 + 4*m**3/3 - 4*m**2/5 + 93. Factor s(w).
4*w*(w - 2)*(w - 1)**2/5
Let p(o) be the second derivative of o**7/168 + o**6/72 - o**5/6 - 5*o**4/6 - 19*o**3/3 - 19*o. Let m(a) be the second derivative of p(a). Factor m(r).
5*(r - 2)*(r + 1)*(r + 2)
Let f(z) = z**2 - 3*z. Let v(t) = -t**3 + 17*t**2 + 17*t + 15. Let i(s) = -4*f(s) + v(s). Factor i(h).
-(h - 15)*(h + 1)**2
Let c(d) be the first derivative of d**6/3 - 6*d**5/5 - 7*d**4/2 + 10*d**3 + 18*d**2 - 36. Factor c(v).
2*v*(v - 3)**2*(v + 1)*(v + 2)
Suppose 94*r = 12*r. Solve r + 5/3*d**2 + 2/3*d = 0 for d.
-2/5, 0
Let a = -24 + 41. Let l = -14 + a. Solve -8*p**4 + 2*p**4 - 2*p**2 - 6*p**l - 2*p**5 - 9*p**2 + 9*p**2 = 0 for p.
-1, 0
Let b be (4/3)/((-4)/(-6)). Let u be b/(-6) + (-21)/(-9). Factor -6*y + 0 + 2*y**u + 0.
2*y*(y - 3)
Let c be (-6 - -24*54/252)/(30/(-56)). What is f in -c*f**3 + 4/5*f**2 + 4/5*f**4 + 0*f + 0 = 0?
0, 1
Let f(a) be the first derivative of -a**3 + 597*a**2 - 118803*a + 820. Let f(w) = 0. Calculate w.
199
Let b(y) = 18*y**3 - 47*y**2 - 40*y. Let o(v) = -35*v**3 + 95*v**2 + 80*v. Suppose 12*n = 7*n + 15. Let u(w) = n*o(w) + 5*b(w). Suppose u(t) = 0. What is t?
-2/3, 0, 4
Let m(a) = -9*a**2 - 36*a + 75. Let w(r) = -8*r**2 - 37*r + 70. Let k(i) = 5*m(i) - 6*w(i). Find v, given that k(v) = 0.
-15, 1
Let t be (6 - 258/36)*(-76)/133. Find r, given that -1/6*r**2 + t + 0*r = 0.
-2, 2
Let h(n) = 2*n**4 - 6*n**3 + 2*n - 4. Let t(x) = x**5 + x**3 - x + 2. Let z(b) = -h(b) - 2*t(b). Factor z(d).
-2*d**3*(d - 1)*(d + 2)
Let g(y) = y**2 - 14*y + 24. Let a be g(12). Let h be 2*(-20)/35 + a + 2. Find r such 