 -p*z - 44/7 - 4/7*z**2.
-4*(z + 1)*(z + 11)/7
Let k = 748 - 5224/7. Solve 12/7*t - 3/7*t**5 - 3/7*t**3 + k*t**4 - 30/7*t**2 + 24/7 = 0.
-1, 2
Let o(u) = u**3 - 22*u**2 - 24*u + 17. Let w be o(23). Let x(m) = -10*m**3 + 26*m**2 + 6. Let s(g) = g**3 - g**2 - 1. Let k(t) = w*s(t) - x(t). Factor k(n).
4*n**2*(n - 5)
Solve 9/8*t**3 + 1/2*t + 0 + 13/8*t**2 = 0.
-1, -4/9, 0
Let m(f) = -f**2 - 26*f - 144. Let y be m(-18). Let p(x) be the first derivative of 7 + 3/4*x**4 + y*x - 2*x**3 + 3/2*x**2. Suppose p(z) = 0. Calculate z.
0, 1
What is p in 4 - 14/5*p + 2/5*p**3 - 8/5*p**2 = 0?
-2, 1, 5
Suppose -5*w + 70 = -5*k, -k - 4*k - w = 82. Let t = 18 + k. Factor 3/2*v**t + 0 + 0*v + 9/4*v**3 + 3/4*v**4.
3*v**2*(v + 1)*(v + 2)/4
Let p(h) be the third derivative of -h**7/840 + h**6/80 + h**5/240 - h**4/16 + h**2 + 13*h. Factor p(t).
-t*(t - 6)*(t - 1)*(t + 1)/4
Let k be (2 - 64/30) + (-8)/(-60). Let b(s) be the first derivative of 1/5*s**5 - 2/3*s**3 + s + 0*s**4 + k*s**2 - 3. Let b(r) = 0. Calculate r.
-1, 1
Let r(j) = j**2 + j. Let x(k) be the second derivative of -k**5/20 - k**4 - 5*k**3/2 - 2*k**2 + 15*k. Let p(g) = -35*r(g) - 5*x(g). Factor p(a).
5*(a + 1)*(a + 2)**2
Factor -27/2*v + 0 - 21/2*v**3 - 45/2*v**2 - 3/2*v**4.
-3*v*(v + 1)*(v + 3)**2/2
Suppose 2*u - 136 = -36. Factor 28*j + 2*j + 288*j**2 + u*j**3 + 5 - 228*j**2 + 15*j**4.
5*(j + 1)**3*(3*j + 1)
Suppose -5*u**3 + 16*u**4 - 13*u**3 + 51*u**3 + 3*u**5 - 7*u**5 - 13*u**3 = 0. Calculate u.
-1, 0, 5
Let h(c) be the first derivative of 0*c**3 - 2 + 7/2*c**2 + 0*c - 1/24*c**4 + 1/60*c**5. Let s(u) be the second derivative of h(u). Factor s(p).
p*(p - 1)
Let u be 17/2 - 2/4. Factor -6*n**3 + 24*n**2 + u*n - 8*n**2 + 8*n**3 + 2*n**4 + 8*n**3.
2*n*(n + 1)*(n + 2)**2
Let c be (-45)/50*-15*2/18. Factor -c*g**4 + 2 + 1/4*g**5 - 3*g + 11/4*g**3 - 1/2*g**2.
(g - 2)**3*(g - 1)*(g + 1)/4
Suppose 8*q - 6*q - 5*q + q**2 - 5*q - 9 = 0. What is q?
-1, 9
Let u(j) be the third derivative of 5*j**8/1176 - 41*j**7/735 + 7*j**6/30 - 3*j**5/35 - 45*j**4/28 + 9*j**3/7 - 913*j**2. Find a such that u(a) = 0.
-1, 1/5, 3
Let h(m) be the first derivative of 13 + 1/8*m**2 + 1/12*m**3 + 0*m. Suppose h(f) = 0. What is f?
-1, 0
Find n such that 2/3*n**5 + 70/9*n**4 - 16*n - 40/3*n**2 + 188/9*n**3 + 0 = 0.
-6, -2/3, 0, 1
Let b(c) be the second derivative of c**5/10 - 7*c**4/2 + 56*c**3/3 - 36*c**2 + 2*c - 6. Factor b(a).
2*(a - 18)*(a - 2)*(a - 1)
Let w(u) be the second derivative of -30*u + 0*u**2 + 0 - 1/4*u**4 + 0*u**3 + 9/20*u**5 + 2/5*u**6. Let w(h) = 0. Calculate h.
-1, 0, 1/4
Suppose -27*q + 14 = -26*q. Let l be 46/q - (-2)/(4/(-6)). Solve 4/7*o**2 - 4/7*o**4 + l*o**5 - 2/7*o + 0*o**3 + 0 = 0 for o.
-1, 0, 1
Let x(j) = -24*j + 27. Let r be x(1). Let k(g) be the first derivative of -3/7*g - 4/21*g**r + 6 - 13/14*g**2. Solve k(m) = 0 for m.
-3, -1/4
Suppose 2*k + k = 6. Factor 6*a - 5*a**k - a**3 - a**3 + 3*a**3.
a*(a - 3)*(a - 2)
Suppose -4*g + 2 + 66 = 0. Solve 35*w**4 + 3 + g + 125*w**2 + 2*w**5 + 95*w**3 + 80*w - w**5 + 4*w**5 = 0.
-2, -1
Let x(c) be the second derivative of -c**5/110 + 4*c**4/33 - 5*c**3/33 - 14*c**2/11 - 13*c - 15. Factor x(a).
-2*(a - 7)*(a - 2)*(a + 1)/11
Let a = 7 + -4. Suppose a*c = 5*c - 4. Factor v + 4*v**c - 5*v + 3*v.
v*(4*v - 1)
Let x be -1*(-10)/(-35) - (-4)/14. Let h(g) be the second derivative of -3/14*g**2 + 1/21*g**3 + x - 2*g + 1/84*g**4. Find i, given that h(i) = 0.
-3, 1
Suppose -250*l = -77*l. Factor 0*h + 4/5*h**3 + 2/5*h**4 + 2/5*h**2 + l.
2*h**2*(h + 1)**2/5
Let h be (-4)/42 + 58/168. Let q(t) be the second derivative of 6*t - h*t**4 + 3/2*t**2 + 0 + 0*t**3. Solve q(g) = 0.
-1, 1
Solve -27/2*x**2 + 6*x**4 - 3/4*x**5 + 33/4*x**3 + 0 + 0*x = 0.
-2, 0, 1, 9
Let o(r) be the first derivative of -r**4/10 + 416*r**3/15 - 11021*r**2/5 + 42436*r/5 - 295. Find x, given that o(x) = 0.
2, 103
Let j(r) be the second derivative of r**4/3 - 54*r**3 + 788*r. Determine i, given that j(i) = 0.
0, 81
Let z(b) be the second derivative of b**5/15 - b**4/6 - 4*b**3/3 - 5*b**2 - 5*b. Let a(x) be the first derivative of z(x). Find q, given that a(q) = 0.
-1, 2
Let b be (-3 - (-63)/6)*39/195. Factor b - 1/2*m**2 - m.
-(m - 1)*(m + 3)/2
Let p = -442/3 - -21659/147. Let d = 151/588 - p. Suppose 0*s + 3/4*s**3 + 1/4*s**2 + d*s**5 + 0 + 3/4*s**4 = 0. What is s?
-1, 0
Suppose -2*l + 4 = 3*i, -5*l = -i + 3*i + 12. Let h(s) be the first derivative of -i + 40*s**3 + 12 + s**2 - 38*s**3. Factor h(p).
2*p*(3*p + 1)
Let c(x) be the first derivative of x**6/280 + x**5/70 + x**4/56 - 13*x**2/2 + 1. Let p(q) be the second derivative of c(q). Determine a so that p(a) = 0.
-1, 0
Suppose 6*h - 59 = 55. Let c = h - 16. Let c*u - 15*u - 8 + 5*u**2 - 5*u**2 + 4*u**3 = 0. What is u?
-1, 2
Let y(d) be the first derivative of d**4/4 + 4*d**3 - 13*d**2/2 - 221. Factor y(c).
c*(c - 1)*(c + 13)
Let g(y) be the third derivative of -y**6/80 + y**5/10 + 7*y**2 - 3*y. Factor g(b).
-3*b**2*(b - 4)/2
Let y be (14/(-196))/((-4)/24*1). Factor 2/7*a**2 - a + y.
(a - 3)*(2*a - 1)/7
Let p = 195 - 192. Let f(n) be the first derivative of -5 + n**p - 6*n - 3/2*n**2. Factor f(z).
3*(z - 2)*(z + 1)
Let 38/11*l**2 + 184/11 + 2/11*l**3 - 16*l = 0. Calculate l.
-23, 2
Let o = 51501/28 + -12870/7. Factor o*l**3 + 3/4*l - 3/2*l**2 + 0.
3*l*(l - 1)**2/4
Suppose 2/3*p**4 - 2*p - 14/9*p**2 - 20/9*p**5 + 8/9 + 38/9*p**3 = 0. What is p?
-1, 1/2, 4/5, 1
Let 4/3*v**4 - 64/3 - 40/3*v**3 + 20*v**2 + 40/3*v = 0. Calculate v.
-1, 1, 2, 8
Factor 786*z**2 + 5*z**5 - 200*z**2 - 195*z**2 - 201*z**2 - 200*z**2 - 15*z**3.
5*z**2*(z - 2)*(z + 1)**2
Suppose 35 - 10 - 13 + 30*g + 9*g**2 - 3 = 0. What is g?
-3, -1/3
Let b = 2996 + -8788/3. Suppose 5 = 5*c + p, 3*c - 6*c - 9 = 3*p. Factor 242*d**3 + b*d - 16/3 - 748/3*d**c.
2*(3*d - 2)*(11*d - 2)**2/3
Let t be 13 + 205/(-10) + 9. Let t*h + 3/4 + 3/4*h**2 = 0. What is h?
-1
Let i(w) be the second derivative of -w**6/210 - 2*w**5/35 - 5*w**4/84 + 25*w**3/21 - 32*w + 3. Solve i(m) = 0 for m.
-5, 0, 2
Let a(k) = -k**3 + 5*k**2 + k - 3. Let b be a(5). Determine r so that 24 + 4*r**b + 166*r + 127*r - 321*r = 0.
1, 6
Let x(l) = l**3 - 15*l**2 - 31*l - 51. Let d be x(17). Factor 2/3*a**4 + 0*a**2 + 0 + 4/9*a**3 + d*a + 2/9*a**5.
2*a**3*(a + 1)*(a + 2)/9
Let x(j) be the third derivative of -j**8/672 - 13*j**7/1680 - j**6/64 - 7*j**5/480 - j**4/192 + 19*j**2. Factor x(f).
-f*(f + 1)**3*(4*f + 1)/8
Factor 2/7*j**2 + 4/7*j + 2/7.
2*(j + 1)**2/7
Let d(j) be the third derivative of j**9/1008 - j**8/280 + j**6/60 - j**5/40 - 11*j**3/2 - 12*j**2. Let i(z) be the first derivative of d(z). Solve i(g) = 0.
-1, 0, 1
Determine g so that -9*g**3 - 6*g**2 + 15*g**2 + g**3 + 4*g**3 + 23*g**2 = 0.
0, 8
Let c(a) be the third derivative of -9*a**5/100 + a**4/20 + 2*a**2 - 6*a. Factor c(w).
-3*w*(9*w - 2)/5
Let h = 69 + -66. Factor 6*b**2 - 8 + 3*b**3 - b**h - 2*b**3 - 2*b**3.
-2*(b - 2)**2*(b + 1)
Let a(l) be the second derivative of -1/3*l**4 + 0 - 4/3*l**3 + 16*l**2 - 51*l. Factor a(g).
-4*(g - 2)*(g + 4)
Factor 66*k - 37 - 50*k**2 + 47*k**2 - 43 - 91.
-3*(k - 19)*(k - 3)
Let d(v) be the first derivative of v**6/6 + 16*v**5/5 + 69*v**4/4 + 30*v**3 + 131. Find q, given that d(q) = 0.
-10, -3, 0
Let c(t) be the second derivative of 0 + 0*t**4 + 1/60*t**5 - 1/126*t**7 + 0*t**6 + 0*t**2 - 31*t + 0*t**3. Solve c(l) = 0 for l.
-1, 0, 1
Let m(l) = -5*l**2 - 9*l + 1. Let h(c) be the first derivative of 7*c**3/3 + 13*c**2/2 - 2*c - 6. Let a(j) = 5*h(j) + 8*m(j). Let a(d) = 0. What is d?
-1, -2/5
Let l(b) be the second derivative of -b**6/72 + 5*b**5/12 - 125*b**4/24 - 2*b**3/3 - 3*b**2 - 29*b. Let j(g) be the second derivative of l(g). Factor j(o).
-5*(o - 5)**2
Let d(s) = -s**2 + 2*s + 7. Let m be d(-3). Let u be (m/28)/(4/(-56)). What is q in 2 + u*q**2 + 0 + q - 2*q - 5*q**2 = 0?
-2, 1
Let -4*p**2 + 64 + 91 + 49 - 56*p = 0. What is p?
-17, 3
Let v be (-2 + (-38)/(-24))/(170/(-306)). Factor -v*f**4 + 0 + 0*f + 1/4*f**5 + 3/4*f**3 - 1/4*f**2.
f**2*(f - 1)**3/4
Let g(p) be the first derivative of 5*p**6/6 - 8*p**5 - 95*p**4/4 - 50*p**3/3 - 469. Factor g(q).
5*q**2*(q - 10)*(q + 1)**2
Let c be (-27)/(-3)*(1 - 0). Factor 8*v**5 + 2*v**3 + c*v**2 - 11*v**2 - 10*v**5 + 2*v**4.
-2*v**2*(v - 1)**2*(v + 1)
Let s be -3 + (3 - -1) - -4. Factor -s*y**5 - 504*