1, 0
Let h(g) = 13*g - 34. Let f be h(6). Let z be (-8)/(-9) - (-1 + f/36). Factor -2/3*y - z*y**2 + 4/3.
-2*(y - 1)*(y + 2)/3
Let w(l) = -4*l - 50. Let v be w(-12). Let n be ((-44)/(-11))/((-2)/2 - v). Factor 0 - 11/3*d**2 - 2/3*d - 13/3*d**3 - 4/3*d**n.
-d*(d + 1)*(d + 2)*(4*d + 1)/3
Let v(s) be the second derivative of s**6/240 - s**5/20 + 5*s - 12. Factor v(f).
f**3*(f - 8)/8
Suppose -50*d**4 + 45*d**3 + 20*d + 240 - 180*d**2 + 24*d**4 + 31*d**4 = 0. Calculate d.
-12, -1, 2
Determine r so that -4624/7 + 4/7*r**3 - 276/7*r**2 + 4896/7*r = 0.
1, 34
Let o(n) be the first derivative of n**4/40 - 9*n**3/10 + 42*n**2/5 + 98*n/5 + 16. Determine u so that o(u) = 0.
-1, 14
Solve -2*b + 29*b - 39*b + 3*b**2 = 0.
0, 4
Let u = -8/121 - -1024/847. Solve -6/7 - 2/7*q**2 - u*q = 0.
-3, -1
Let s(h) = 7*h - 23. Let u be s(5). Let g(c) be the first derivative of 0*c**4 + 2 - 3*c - 18*c**3 + 81/5*c**5 - u*c**2. Factor g(i).
3*(i - 1)*(3*i + 1)**3
Suppose 8*p**3 - 13/2*p**2 + 9/2 - 27/4*p - 5/4*p**5 + 2*p**4 = 0. What is p?
-2, -1, 3/5, 1, 3
Let s(l) be the third derivative of -l**7/14 - 7*l**6/24 + 43*l**5/12 + 25*l**4/8 + 229*l**2. Suppose s(x) = 0. Calculate x.
-5, -1/3, 0, 3
Let g(a) be the third derivative of -a**6/180 + a**5/10 - 5*a**4/12 + 4*a**3/3 - 10*a**2. Let k(w) be the first derivative of g(w). Factor k(p).
-2*(p - 5)*(p - 1)
Determine s so that 50*s**2 - 459*s + 201 - 5*s**3 - 79 + 294*s + 58 = 0.
3, 4
Suppose 20*h = -156 + 256. Find g, given that -1/4*g**h - 1/4*g**3 + 3/4*g**4 - 3/4*g**2 + 1/2*g + 0 = 0.
-1, 0, 1, 2
Let d(s) = -408*s**2 + 80*s - 12. Let o(i) = i**2 + 1. Let w = 4 + 4. Let h(t) = w*o(t) + d(t). Factor h(b).
-4*(10*b - 1)**2
Let y be (6/1)/(1/(-2)*-4). Determine f, given that -f**2 - 6 - y*f + 18 - 14 = 0.
-2, -1
Let a(w) be the first derivative of 2*w**3/39 - 9*w**2/13 + 16*w/13 + 52. Factor a(z).
2*(z - 8)*(z - 1)/13
Let h(r) be the first derivative of -r**4/16 + 121*r**3/12 + r**2/8 - 121*r/4 + 443. Factor h(v).
-(v - 121)*(v - 1)*(v + 1)/4
Let b(a) be the first derivative of a**5 - 5*a**3 + 5*a**2 - 101. Solve b(h) = 0 for h.
-2, 0, 1
Factor 39*i**4 + 23*i**4 - 810*i + 4 - 4 - 57*i**4 + 80*i**3 + 225*i**2.
5*i*(i - 2)*(i + 9)**2
What is u in 578/7 + 68/7*u + 2/7*u**2 = 0?
-17
Suppose 6*k - 154 = 4*k. Let x = k + -307/4. Factor 1/4*q + x*q**2 + 0.
q*(q + 1)/4
Let q be 20/(-25)*(7 - 57/6). Let 0 - 2*w**3 + q*w**2 + 2/3*w**4 - 2/3*w = 0. Calculate w.
0, 1
Let h(g) be the third derivative of -g**8/504 + g**7/315 + 5*g**6/36 - g**5/90 - 14*g**4/3 - 16*g**3 - 197*g**2. Suppose h(r) = 0. Calculate r.
-3, -1, 4
Let i(p) be the third derivative of -p**8/336 - 17*p**7/840 + p**6/10 + 29*p**5/240 - 11*p**4/24 - p**3/2 + 70*p**2. Find z, given that i(z) = 0.
-6, -1, -1/4, 1, 2
Determine f, given that 4/13*f**3 - 24/13*f - 6/13*f**2 - 14/13 = 0.
-1, 7/2
Solve 4*l**2 + 128 + 95*l + 34*l - 8*l**2 - 2 + 7*l**2 = 0.
-42, -1
Let c(k) = 64*k - 21*k**2 + 13*k**2 - 7*k**2 + 68 + 31*k. Let d(v) = -30*v**2 + 190*v + 135. Let p(i) = 5*c(i) - 2*d(i). Factor p(t).
-5*(t - 7)*(3*t + 2)
Let g(b) be the first derivative of -2*b**3/21 - 12*b**2/7 + 90*b/7 + 423. Let g(p) = 0. Calculate p.
-15, 3
Suppose 0 = 5*z + 5*l - 30, 5 - 13 = -2*z - 4*l. Solve 4 - 3 + z + 4*b**2 - 1 + 12*b = 0.
-2, -1
Factor -39 + 1162*m**2 + 141 - 1160*m**2 - 40*m.
2*(m - 17)*(m - 3)
Let l(y) be the first derivative of -y**4/10 + 34*y**3/15 - 16*y**2/5 - 182. Let l(b) = 0. Calculate b.
0, 1, 16
Let i(y) be the second derivative of -y**9/756 + y**8/210 - y**7/210 + 7*y**3/6 - 6*y. Let a(n) be the second derivative of i(n). Factor a(r).
-4*r**3*(r - 1)**2
Let w(t) be the second derivative of -t**4/8 - t**3/2 + 105*t**2/4 + 481*t. Find a such that w(a) = 0.
-7, 5
Let l be 6/27 + (-9 - 4041/(-405)). Let b(a) be the first derivative of -8/5*a + l*a**2 - 4/15*a**3 + 8. Factor b(f).
-4*(f - 2)*(f - 1)/5
Let m(d) be the first derivative of 3087*d**4/32 + 49*d**3/4 - 35*d**2/4 + d - 131. Factor m(c).
(7*c + 2)*(21*c - 2)**2/8
Factor 2/19*n**3 + 64/19*n**2 + 60/19 + 122/19*n.
2*(n + 1)**2*(n + 30)/19
Suppose 0 = -2*u - o + 2*o - 26, 16 = -4*o. Let v be 5/(u/(-9)) + -1. Suppose 1/2 + 3/2*d**v - 3/2*d - 1/2*d**3 = 0. Calculate d.
1
Suppose k + 5*v = 2*v + 12, -v = 3*k - 20. Factor -3*i**3 - 20*i + 158*i**2 - k - 170*i**2 + 5*i.
-3*(i + 1)**2*(i + 2)
Let t(z) = 6*z**4 + 135*z**3 + 372*z**2 + 375*z + 120. Let m(x) = -7*x**4 - 136*x**3 - 370*x**2 - 376*x - 119. Let f(u) = -3*m(u) - 4*t(u). Factor f(l).
-3*(l + 1)**3*(l + 41)
Let s = -44 + 127. Suppose -s - 2 + 24*o + 13 - 2*o**2 = 0. What is o?
6
Let u(g) be the second derivative of -g**7/14 - 13*g**6/10 - 117*g**5/20 - 23*g**4/4 + 20*g**3 + 54*g**2 - 146*g. Find p, given that u(p) = 0.
-9, -2, -1, 1
Factor 57/8*u**4 + 157/8*u**3 + 45/4*u + 179/8*u**2 + 2 + 5/8*u**5.
(u + 1)**3*(u + 8)*(5*u + 2)/8
Let u be (-5)/(-2) - 3/(-6). Solve -3*t - 5*t + 4*t**4 - 4*t**2 + 341*t**u - 333*t**3 = 0.
-2, -1, 0, 1
Let f(g) be the first derivative of -1/90*g**5 + 0*g - 16/9*g**3 + 2/9*g**4 + 13 - 4*g**2. Let u(n) be the second derivative of f(n). Factor u(s).
-2*(s - 4)**2/3
Factor 1618*g**2 - 7*g**4 + 2*g**5 - 1618*g**2 - 9*g**4.
2*g**4*(g - 8)
Let q = 122 + -120. Let x(a) be the first derivative of -1/2*a**q + 2/3*a**3 + 1/4*a**4 - 4 - 2*a. Factor x(l).
(l - 1)*(l + 1)*(l + 2)
Let s(k) be the first derivative of -4/15*k**3 - 3 - 8/5*k + 6/5*k**2. Let s(i) = 0. What is i?
1, 2
Let b(c) be the second derivative of 4*c**6/3 + c**5/5 - c + 17. Find q such that b(q) = 0.
-1/10, 0
Let o(x) be the first derivative of -x**7/280 + x**5/40 + 17*x**3/3 - 9. Let v(k) be the third derivative of o(k). Factor v(i).
-3*i*(i - 1)*(i + 1)
Suppose 5*n + 4*q - 18 = 0, 2*n + q - 10 = -4. Let u(j) = 16*j**3 - 2*j**2 + 1. Let i be u(1). Determine r so that -7*r**n - 3*r + 12*r**3 - i*r**3 + r**2 = 0.
-1, 0
Let n = 46 + -78. Let y be (6/(-4))/(4/n*6). Let -3/2*k**4 - 1/2*k**5 + 0*k - y + 1/2*k**3 + 7/2*k**2 = 0. Calculate k.
-2, -1, 1
Suppose 0*y**4 + 0*y**2 + 2/9*y**5 + 2/9*y + 0 - 4/9*y**3 = 0. What is y?
-1, 0, 1
Let s be 114/(-57)*4/16*-4. Factor d + 5/4 - 1/4*d**s.
-(d - 5)*(d + 1)/4
Let l(i) be the third derivative of 0*i**3 + 0*i - 2/525*i**7 + 0*i**4 + 13*i**2 + 0 - 1/150*i**6 + 1/420*i**8 + 1/75*i**5. Factor l(b).
4*b**2*(b - 1)**2*(b + 1)/5
Let k = 39883/84643 + -3/4979. Let 98/17*g**5 - k + 48/17*g - 146/17*g**3 + 42/17*g**4 - 2*g**2 = 0. What is g?
-1, 2/7, 1
Suppose 3*d - 2*c = 14, -2*d + 4*c + 7 = -5. Let -2/3*k**3 + 2/3*k - 5/3*k**2 + 0 + 5/3*k**d = 0. Calculate k.
-1, 0, 2/5, 1
Solve 38/3*k + 2/3*k**2 + 12 = 0.
-18, -1
Let b(v) be the second derivative of -v**6/165 - v**5/55 - v**4/66 - 294*v. Find q such that b(q) = 0.
-1, 0
Suppose -20*g + 3*a - 9 = -18*g, -2*a = -g - 8. Suppose 0 - 3*i**4 + 3*i**2 - 3/2*i**5 + g*i**3 - 9/2*i = 0. Calculate i.
-3, -1, 0, 1
Suppose 0 = -21*j + 4*j + 459. Suppose 22*x - j*x + 10 = 0. Find t, given that 0 - 1/2*t**x + 3/2*t = 0.
0, 3
Let r(i) be the second derivative of 0 - 2/9*i**3 + 1/12*i**4 + 1/6*i**2 + 21*i. Find q such that r(q) = 0.
1/3, 1
Let n be 2/(-4)*(230 + -230). Solve n + 0*t + 2/5*t**2 = 0.
0
Suppose 5*p + 8 - 23 = 0. Factor -72/5*y - 48/5 - 27/5*y**2 - 3/5*y**p.
-3*(y + 1)*(y + 4)**2/5
What is j in 20 - 444*j**4 - 160*j + 185*j**2 - 144*j**4 + 0 - 222*j**4 + 765*j**3 = 0?
-1/2, 2/9, 1
Let y be (208/24 - 9)*0. Factor 1/5*v**3 + 0*v + y + 4/5*v**2.
v**2*(v + 4)/5
Let l(n) be the second derivative of -n**4/32 - 121*n**3/4 - 43923*n**2/4 - 276*n + 1. Find t, given that l(t) = 0.
-242
Let u(y) = 29*y**2 + 349*y + 14. Let l be u(-12). What is z in -6/5*z**5 + 0*z + 0 + 8/5*z**4 - 2/5*z**3 + 0*z**l = 0?
0, 1/3, 1
Let g be ((-4599)/(-270) - 5) + -12. Let y(n) be the third derivative of 1/24*n**4 + g*n**5 + 0*n - 1/120*n**6 + 0 - 1/3*n**3 + 5*n**2. Factor y(t).
-(t - 2)*(t - 1)*(t + 1)
Let j(m) = -m - 5*m**2 + 1 + m**2 - 2*m. Let w(f) = 9*f**2 + 6*f - 3. Suppose 4*h = 8*h - 12. Let t(s) = h*w(s) + 7*j(s). Factor t(x).
-(x + 1)*(x + 2)
Let b = -13185/2 + 6600. Factor 27*i**2 - 18*i - 12 - b*i**3.
-3*(i - 2)**2*(5*i + 2)/2
Let 303/5*i + 306/5 - 3/5*i**2 = 0. What is i?
-1, 102
Let l be (-560)/(-36 + 76)*16/(-98). Find b, given that l*b**2 + 10/7*b - 6/7 = 0.
-1, 3/8
Let h(y) be the third derivative of 0 - 5/24*y**4 + 1/21*y