*2 + 0 + 8/3*p**z + 0*p = 0. What is p?
-3, -1, 0
Factor -267*a**2 + 40*a - 270*a**2 + 400 + 538*a**2.
(a + 20)**2
Let t(h) be the first derivative of -3*h**4/5 + 8*h**3/3 - 8*h**2/5 + 34*h + 6. Let y(v) be the first derivative of t(v). Suppose y(c) = 0. Calculate c.
2/9, 2
Let z(d) = d**3 - 7*d**2 + 11*d + 4. Let g be z(5). Find j, given that 54*j**3 - 3 - 27*j + 78*j + 4 - 3*j**4 - g*j**5 + 90*j**2 + 8 = 0.
-1, -1/3, 3
Let a(i) = -6*i**2 + 20*i - 36. Let n(m) = 0*m**2 + 22 + m**2 - 8 - 13 - m. Let h(f) = -a(f) - 4*n(f). Let h(q) = 0. What is q?
4
Let y(l) be the third derivative of 17*l**2 - 11/8*l**4 + 0*l + 7/3*l**3 + 0 - 7/120*l**6 - 9/10*l**5. Solve y(k) = 0 for k.
-7, -1, 2/7
Let n(c) = 2*c**4 - c**3 - c. Let o(j) = -5*j**4 - 5*j**3 - 8*j**2 + 18*j. Let h(z) = -2*n(z) - o(z). Factor h(u).
u*(u - 1)*(u + 4)**2
Let c(q) = q**3 - 19*q**2 - 88*q - 88. Let r be c(23). Solve -z**3 - 1/2*z**r + 0*z + 0 + 0*z**2 = 0.
-2, 0
Factor -8/3*w**2 + 12*w - 16/3.
-4*(w - 4)*(2*w - 1)/3
What is m in -19*m**3 - 17/2*m**4 + 37/2*m + 19/2 + 1/2*m**5 - m**2 = 0?
-1, 1, 19
Let y = -13 - -17. Let f(h) be the first derivative of 3 + h**y - 8*h**2 + 4 - 4*h**3 - 1. Determine j, given that f(j) = 0.
-1, 0, 4
Let v(t) be the second derivative of -t**5/5 - t**4/3 + 32*t**3/3 + 32*t**2 - 22*t - 3. Factor v(r).
-4*(r - 4)*(r + 1)*(r + 4)
Let o = -36616/25 - 424/25. Let u = o + 1488. Factor -36/5*n**3 + u*n - 16/5 + 12/5*n**2.
-4*(n + 1)*(3*n - 2)**2/5
Factor 5*r**3 + 4*r**2 - 42 + 3*r + 26*r**2 + 12 - 8*r.
5*(r - 1)*(r + 1)*(r + 6)
Let s(d) be the second derivative of d**5/80 - 7*d**4/12 + 55*d**3/8 + 225*d**2/4 + 94*d. What is u in s(u) = 0?
-2, 15
Let d(q) be the second derivative of q**6/18 + 11*q**5/20 + 41*q**4/36 + q**3/6 - 5*q**2/3 - 4*q + 14. Factor d(a).
(a + 1)**2*(a + 5)*(5*a - 2)/3
Factor 0 - 6*v - 21/2*v**2 + 33/2*v**3.
3*v*(v - 1)*(11*v + 4)/2
Determine p so that -3*p + 1/6*p**2 + 16/3 = 0.
2, 16
Let c(u) be the second derivative of u**8/168 + 2*u**7/105 - u**5/15 - u**4/12 + u**2 - 9*u. Let j(t) be the first derivative of c(t). Factor j(o).
2*o*(o - 1)*(o + 1)**3
Let q(z) be the second derivative of -z**6/20 - 3*z**5/20 + 5*z**4/2 - 6*z**3 - 101*z. Factor q(b).
-3*b*(b - 2)**2*(b + 6)/2
Let y(f) = f**2 - f - 42. Let t be y(7). Factor -5 + 4*m**2 - 3 + 4*m + t*m.
4*(m - 1)*(m + 2)
Let j(s) = 4*s**2 - 9*s - 8. Let d be j(4). Suppose 3*z = 4*y + d, 3*z - 4 + 2 = -5*y. Determine f so that -3/2*f**2 + 3*f**3 - 3*f + 0 + 3/2*f**z = 0.
-2, -1, 0, 1
Let g(c) be the second derivative of 0*c**3 + 0 - 1/168*c**4 - 1/420*c**5 + 3*c**2 - c. Let r(a) be the first derivative of g(a). Factor r(o).
-o*(o + 1)/7
Let y be 6*66/176 + (-2)/(10 - 2). Factor 4/7 - 3/7*o**y + 0*o + 1/7*o**3.
(o - 2)**2*(o + 1)/7
Determine z, given that 3*z - 1 + 3/2*z**3 - 1/4*z**4 - 13/4*z**2 = 0.
1, 2
Let w(x) be the second derivative of -x**6/10 + 57*x**5/10 - 132*x**4 + 1600*x**3 - 10752*x**2 + 17*x - 12. Factor w(g).
-3*(g - 14)*(g - 8)**3
Let n(l) be the second derivative of l**9/45360 + l**8/20160 - l**7/1512 + l**6/720 - l**4/6 + 16*l. Let b(z) be the third derivative of n(z). Factor b(q).
q*(q - 1)**2*(q + 3)/3
Let m(w) be the second derivative of w**4/4 + 10*w**3 - 63*w**2/2 + 216*w - 1. Factor m(t).
3*(t - 1)*(t + 21)
Determine k, given that 30*k + 4 + k**2 - 7*k**2 - 4*k**3 + 2*k**2 - 26*k = 0.
-1, 1
Let y(s) be the first derivative of s**4/12 + s**3 + 9*s**2/2 + 9*s - 186. Factor y(x).
(x + 3)**3/3
Let i = 4534 - 4532. Let x be (-26)/(-12) - (-1)/2. Determine b, given that -2/3*b**i + x*b - 2/3*b**3 + 8/3 = 0.
-2, -1, 2
Let c be 39*1/6 - (-7 - -13). Let g be 2/(-5)*(-45)/12. Determine a, given that -3/2*a**4 - g*a**3 + 0*a + 0 - 1/2*a**5 - c*a**2 = 0.
-1, 0
Let f = 6578 + -26213/4. Let 3 - f*z**2 - 12*z = 0. Calculate z.
-2/3, 2/11
Let t = 1179 + -1175. Let q(l) be the second derivative of 1/2*l**2 + 1/12*l**6 + 0 - 3/40*l**5 + 1/4*l**3 - 11*l - 7/24*l**t. Solve q(g) = 0 for g.
-1, -2/5, 1
Let a(x) be the third derivative of x**5/15 + 55*x**4/6 - 112*x**3/3 + 205*x**2 + x. Factor a(h).
4*(h - 1)*(h + 56)
Find y, given that 135*y**2 - 455/3*y**3 + 235/3*y**4 - 15*y**5 - 160/3*y + 20/3 = 0.
2/9, 1, 2
Factor 12/5*c**3 + 24 - 332/5*c - 88/5*c**2.
4*(c - 10)*(c + 3)*(3*c - 1)/5
Let i(s) be the second derivative of 0*s**2 + 1/90*s**5 - 1/9*s**4 - 7/27*s**3 + 10*s + 0. Factor i(o).
2*o*(o - 7)*(o + 1)/9
Let v = -8 + 11. Let g(s) be the first derivative of 41/4*s**4 + 4 + 1/3*s**v - s**5 - 25/6*s**6 + 4*s - 8*s**2. Solve g(y) = 0.
-1, 2/5, 1
Suppose 5*g - 20 = g. Let m(l) = -2*l + 7*l - l**2 - g*l. Let u(x) = -6*x**2 + 4*x + 2. Let z(i) = -8*m(i) + u(i). Factor z(j).
2*(j + 1)**2
Let c(d) be the first derivative of -d**6/27 + 8*d**5/45 - 5*d**4/18 + 4*d**3/27 - 33. Determine h, given that c(h) = 0.
0, 1, 2
Let t(c) = c + 8. Let k be t(-6). Let d(o) = -o**3 - 11*o**2 + 10*o - 16. Let w be d(-12). Factor -3*j**3 - 7*j**k + 27*j**2 - w*j**2 + 3*j - 9*j**2 - 3.
-3*(j - 1)**2*(j + 1)
Let r(m) be the first derivative of m**6/42 - 6*m**5/35 + 9*m**4/28 + 4*m**3/21 - 6*m**2/7 + 274. Factor r(w).
w*(w - 3)*(w - 2)**2*(w + 1)/7
Let s(v) = v**2 + 2*v - 2. Let f(j) = j**2 + 0*j - 28 + 2*j + 25. Let z(h) = 2*f(h) - 3*s(h). Factor z(m).
-m*(m + 2)
Solve -698*k + 15*k**2 + 72*k**2 + 378*k + 12*k**3 - 98 + 371*k - 52 = 0.
-25/4, -2, 1
Let l be ((-2)/(-9))/((-8)/(-24)). Factor -2/9*u**2 - 8/9*u - l.
-2*(u + 1)*(u + 3)/9
Suppose 7*y + 3 = 17. Factor 20*r**2 + 16*r**2 - 54*r**y - 4*r**4 + 14*r**2 + 6*r**3 + r + r**5.
r*(r - 1)**4
Let h = 437/30 + -72/5. Factor 1/6*z**2 + h*z + 0 - 1/6*z**4 - 1/6*z**3.
-z*(z - 1)*(z + 1)**2/6
Suppose 0 = -t + 4*t + a - 16, 5*a = 3*t - 10. Suppose w - g + 2 = g, -5 = -w - t*g. Factor 12/5*j - 22/5*j**2 + 6/5*j**3 + w.
2*j*(j - 3)*(3*j - 2)/5
Let j(i) be the second derivative of i**5/15 - 116*i**4/9 + 2318*i**3/3 - 4332*i**2 + 506*i. Let j(t) = 0. What is t?
2, 57
Let l(v) = v**2 + 35*v + 144. Let r be l(-32). Factor 16*u + r + 4/3*u**2.
4*(u + 6)**2/3
Let d be (-3)/(9/(-4)) + 1400/(-1500). Solve -d*w**3 + 0 + 2*w**2 - 8/5*w = 0 for w.
0, 1, 4
Let g(m) = -2*m**2 - 2*m. Let s(w) = -w**2 + 9*w - 7. Let j(b) = 2*b**2 - 14*b + 11. Let x(k) = 5*j(k) + 8*s(k). Let p(y) = 3*g(y) + 4*x(y). Solve p(v) = 0.
-2, 1
Let a(x) be the first derivative of x**6/105 - 3*x**5/70 + x**4/42 + x**3/7 - 2*x**2/7 + 5*x - 2. Let n(u) be the first derivative of a(u). Factor n(s).
2*(s - 2)*(s - 1)**2*(s + 1)/7
Let b be (57 - -1)/(2 + 0/3). Suppose s = 5*d - 16, 5*d = -4*s + b + 7. Suppose 0 + 1/4*m**2 - 1/4*m**5 - 3/4*m**3 + 0*m + 3/4*m**d = 0. Calculate m.
0, 1
Let o(b) be the first derivative of -b**6/27 - 148*b**5/45 - 1441*b**4/18 - 592*b**3/3 - 144*b**2 - 84. Factor o(z).
-2*z*(z + 1)**2*(z + 36)**2/9
Let d(p) = -8*p**3 + 853*p**2 + 7200*p - 8111. Let x(n) = -n**3 + 171*n**2 + 1440*n - 1622. Let s(r) = -2*d(r) + 11*x(r). Factor s(u).
5*(u - 1)*(u + 18)**2
Suppose 0 = -2*l + 1 + 17. Let h(z) = -z + 12. Let f be h(l). Find y, given that f*y**2 - 3*y**4 + 2*y**3 + 0*y - 2*y - y + y**3 = 0.
-1, 0, 1
Let h(g) be the first derivative of 22*g**5/5 + 17*g**4/2 + 4*g**3 - 56. Suppose h(j) = 0. What is j?
-1, -6/11, 0
Let o be 30/18*(-18)/(-10). Suppose 8/7*d**o + 0*d + 4/7*d**4 + 0 - 16/7*d**2 - 2/7*d**5 = 0. What is d?
-2, 0, 2
Solve 2/3*r**2 - 1/3*r**3 + 0 - 1/6*r**5 + 1/2*r - 2/3*r**4 = 0 for r.
-3, -1, 0, 1
Let c be (1 + -12)/11 + 5. Let r(u) be the second derivative of 2/3*u**2 - 1/3*u**3 - u + 0*u**c + 0 + 1/30*u**5. Suppose r(l) = 0. What is l?
-2, 1
Let n = -3 - -4. Let s(m) = m**2. Let c(l) = 25*l**2 - 20*l + 20. Let t(o) = n*c(o) - 20*s(o). Solve t(q) = 0.
2
Suppose -126*z = -151*z + 100. Let y(k) be the first derivative of 9 - 2*k**2 + 0*k**5 + 0*k + 2*k**z - 2/3*k**6 + 0*k**3. Factor y(w).
-4*w*(w - 1)**2*(w + 1)**2
Let d(r) = -9*r**3. Let w(n) = -17*n**3 + 5*n**3 + 11*n**3. Let b(s) = -d(s) + 5*w(s). Let b(y) = 0. What is y?
0
Let b(r) = r**4 - r**2 + 1. Let i = 73 + -71. Let z(w) = 5*w**4 - 4*w**3 - w**2 + 3. Let x(k) = i*z(k) - 6*b(k). Suppose x(q) = 0. Calculate q.
0, 1
Let r(p) be the second derivative of 3/160*p**5 + 0 + 0*p**3 + 0*p**2 + 15*p + 0*p**4. Factor r(j).
3*j**3/8
Let b(d) be the first derivative of -324/5*d - 16 - 63/5*d**3 - 3/25*d**5 + 81/2*d**2 + 39/20*d**4. Let b(v) =