r**3 - 9/7 = 0. Calculate r.
1/5, 3
Let m = 19948 - 259108/13. Let i be 10/(-35) + (-1250)/(-455). Determine h, given that -54/13*h**4 + m*h**3 - 288/13*h**2 + 160/13*h - i = 0.
2/3, 2
Let c(h) = 5*h**3 - 13*h**2 + 2*h**2 + 2*h**3 + 4*h. Suppose 24 = -36*m + 24*m. Let n(t) = -t**3 + t. Let j(p) = m*n(p) + c(p). Factor j(v).
v*(v - 1)*(9*v - 2)
Suppose 5/4 - 3/8*l - 1/8*l**2 = 0. What is l?
-5, 2
Let x = 181 + -181. Let r(s) be the first derivative of x*s**3 - 4/15*s**5 + 0*s + 0*s**2 - 1/3*s**4 + 7. Factor r(v).
-4*v**3*(v + 1)/3
Let q(r) = 10*r**4 + 1735*r**3 + 227070*r**2 + 13170065*r + 286448815. Let j(h) = h**4 - h**3 + h + 2. Let f(x) = 5*j(x) - q(x). What is c in f(c) = 0?
-87
Suppose 5*a - 16 - 4 = 0, -3*h - 11 = -5*a. Suppose 5*x - 40 = -5*m, 5*m = 4*x + 25 - h. Find u such that 2*u**4 - 2*u**3 + 2*u**5 + m*u - 6*u - 2*u**2 = 0.
-1, 0, 1
Suppose 0 = 5*j - 27 - 13. Suppose 3*m + m = j. Determine k so that 0*k**3 - 2/7*k**m + 2/7*k**4 + 0*k + 0 = 0.
-1, 0, 1
Let c(q) be the first derivative of 7*q**3 + 9*q**2 - 5 + 27/7*q. Determine a so that c(a) = 0.
-3/7
Factor 51 - 86*r + 83 - 26 + 33*r**2 - 2*r**4 - 76*r + 2*r**3 + 21*r**2.
-2*(r - 3)**2*(r - 1)*(r + 6)
Let g(i) be the third derivative of -22*i**2 + 3/385*i**7 + 0*i**3 + 7/220*i**6 + 1/1848*i**8 + 19/330*i**5 + 0 + 1/22*i**4 + 0*i. Factor g(d).
2*d*(d + 1)**3*(d + 6)/11
Suppose -2*t + 5*t = j + 4, -j + 21 = 2*t. Suppose -j = -3*f - 5. Determine o so that -4 + 4*o**3 + 0*o - 5*o + 0*o**3 - 5*o - f*o**2 = 0.
-1, -1/2, 2
Let q(i) be the first derivative of 2*i**3/3 + 3*i**2 + 4*i + 2. Suppose q(h) = 0. Calculate h.
-2, -1
Let h(b) = -b**3 + 2*b + 1. Let c be h(0). Let i be (1/3)/1*c. Factor -2/3*r + 5/3*r**2 - i*r**4 + 0 + 1/3*r**5 - r**3.
r*(r - 1)**3*(r + 2)/3
Let t(l) be the second derivative of -l**5/5 - 65*l**4/3 - 682*l**3 + 2178*l**2 + 2*l + 89. Solve t(d) = 0.
-33, 1
Suppose -3*g - 8 = -5*r + 24, 5*g = -4*r - 4. Suppose 0*c - 2/13*c**3 - 2/13*c**2 + 2/13*c**r + 2/13*c**5 + 0 = 0. What is c?
-1, 0, 1
Suppose -5*m + 13 + 127 = 4*y, 5*m - 80 = -2*y. Determine b so that 37*b**2 - 48 + 8 + 30*b**2 - 72*b**2 - y*b = 0.
-4, -2
Let l = 1340 + -1340. Let w(r) be the third derivative of -1/9*r**4 + 9*r**2 + 1/18*r**5 + l*r + 1/60*r**6 - 4/9*r**3 + 0. Factor w(n).
2*(n - 1)*(n + 2)*(3*n + 2)/3
Let l(v) be the first derivative of -v**4/120 + v**2/20 + 21*v + 4. Let a(w) be the first derivative of l(w). Factor a(g).
-(g - 1)*(g + 1)/10
Let q(x) be the third derivative of -x**7/630 - x**6/135 - x**5/90 - 2*x**3 - x**2. Let l(z) be the first derivative of q(z). Factor l(v).
-4*v*(v + 1)**2/3
Let z = 5 + -1. Factor -16/3 + 2/3*g**3 - z*g**2 + 8*g.
2*(g - 2)**3/3
Suppose m - 3*u - 4 = -3*m, -2*u + 4 = -m. Suppose -3*j - d + 6 = 0, j + m*d = d + 2. Factor 7*s**3 + s + 5/2*s**4 - 1/2 + 6*s**j.
(s + 1)**3*(5*s - 1)/2
Let r(i) = 3*i - 36. Let u be r(13). Let q(y) be the second derivative of 1/27*y**4 + 0*y**2 - 1/18*y**5 + 0*y**u + y + 0. Let q(x) = 0. What is x?
0, 2/5
Suppose -4*a - 4*m = 0, 29*m - 4 = 2*a + 33*m. Let c(o) be the third derivative of 0 + 3*o**a + 1/90*o**5 + 0*o - 1/24*o**4 + 1/18*o**3. Factor c(v).
(v - 1)*(2*v - 1)/3
Let s = 38 - 74. Let q be 4/14 - s/21. Solve 1 - m - 3*m**q - 3 - m**4 + 2 - 3*m**3 = 0 for m.
-1, 0
Let j(r) be the first derivative of -6*r**5/5 - 4*r**4 + 10*r**3 - 4*r**2 - 22. Solve j(q) = 0 for q.
-4, 0, 1/3, 1
Let s = -28 + 20. Let u be -3*2*4/s. Solve -6*j - 11*j**2 + 6 + 5*j**2 + u + 3*j**2 = 0 for j.
-3, 1
Suppose 2*n + 2*i + 2*i - 12 = 0, 2 = -3*n + 4*i. Find u, given that 0*u**3 - 8/7*u**4 + 0 + 4/7*u**5 + 8/7*u**n - 4/7*u = 0.
-1, 0, 1
Let q(i) be the second derivative of i**7/30240 - i**6/2880 - 7*i**4/6 - 17*i. Let k(g) be the third derivative of q(g). Factor k(v).
v*(v - 3)/12
Factor -j - 1/6*j**2 - 4/3.
-(j + 2)*(j + 4)/6
Let l = 83 - 83. Suppose l = -4*v + 17*v + 8*v. Let 0*o + 3/5*o**4 + 0*o**2 + 0 + v*o**3 = 0. What is o?
0
Find d such that -150/13 + 2/13*d**2 + 148/13*d = 0.
-75, 1
Let k(r) = 3*r**2 + 25*r + 26. Let c be k(-1). Let q(t) be the first derivative of -2/3*t**6 + 1/4*t**c + 5 + 0*t**3 - 3/5*t**5 + 0*t + 0*t**2. Solve q(d) = 0.
-1, 0, 1/4
Factor -2092*q**3 + 2*q**4 - 3*q**2 + 2044*q**3 + 243*q**2 + 288 - 448*q.
2*(q - 18)*(q - 2)**3
Let p = 58/3 - 19. Let x be -94*(-16)/96 + -15. Factor 1/3 + p*h**2 + x*h.
(h + 1)**2/3
Let i = 2855 + -2853. Find v, given that -4/5*v + 0*v**i + 4/5*v**3 + 0 = 0.
-1, 0, 1
Suppose 0 = 2*d - 15*d + 663. Determine a, given that -16 + 61*a**2 - 4*a**4 - 92*a**2 + d*a**2 = 0.
-2, -1, 1, 2
Let y(v) = 9*v**2 - 18*v + 9. Let k(d) = -d**2 + 1. Let s(n) = -6*k(n) - y(n). Suppose s(j) = 0. What is j?
1, 5
Let j(z) be the second derivative of -z**4/30 + z**3 - 44*z**2/5 + 5*z - 21. Suppose j(v) = 0. Calculate v.
4, 11
Let q(s) = s - 3. Let d be q(5). Suppose 4*w = d*w - 2*b - 6, 2*b + 14 = 2*w. Factor -4/7*n**w + 0 + 2/7*n**3 + 2/7*n.
2*n*(n - 1)**2/7
Let l(w) be the first derivative of -w**3/6 + 91*w**2/2 - 8281*w/2 - 386. Factor l(o).
-(o - 91)**2/2
Let u(z) be the third derivative of -z**9/20160 + z**8/1344 - z**7/210 + z**6/60 - z**5/5 - 17*z**2. Let i(d) be the third derivative of u(d). Factor i(g).
-3*(g - 2)**2*(g - 1)
Solve 44*v**4 + 8954*v**2 + 4680*v + 54*v**4 + 1065*v**3 - 26 + 755*v**3 + 674 = 0.
-9, -2/7
Factor 729 + 3*v**3 - 2105 - 811 + 729*v - 22*v**2 - 59*v**2.
3*(v - 9)**3
Let l = -13/42 - -191/1092. Let f = 517/364 + l. Factor f*t - 6/7 - 3/7*t**2.
-3*(t - 2)*(t - 1)/7
Let s(k) = -228*k - 3. Let w be s(-3). Let l be (-3)/(-9) + w/9. Find m such that 5*m**4 + 11*m**4 + 56*m + 3*m**5 + 50*m**3 - m**5 + l*m**2 + 16 = 0.
-2, -1
Let t(k) be the first derivative of -7*k**6/12 + 33*k**5/10 - 11*k**4/8 - 23*k**3/2 - 9*k**2/2 + 397. Determine m, given that t(m) = 0.
-1, -2/7, 0, 3
Suppose -578/3 + 34/3*j - 1/6*j**2 = 0. Calculate j.
34
Let f be (-12)/(-40) + (-63)/210. Suppose 0*x = -3*x + 18. Determine v, given that -13/3*v**4 - x*v**3 + 20/3*v**5 - 2/3*v + f + 13/3*v**2 = 0.
-1, 0, 1/4, 2/5, 1
Suppose -90*h - 2 = -91*h. Let k be (-240)/(-24)*h/18. Factor -k*b**2 - 4/9 + 14/9*b.
-2*(b - 1)*(5*b - 2)/9
Let j(d) = d**2. Let o(q) = -6*q + 15 + 15 + 7*q**2 - 30. Let t(h) = -4*j(h) + o(h). Determine n, given that t(n) = 0.
0, 2
Let i be (16 - 14)*4/12*1. Determine p, given that 11/3*p + i + 3*p**2 = 0.
-1, -2/9
Let m(d) be the second derivative of -d**6/285 - 3*d**5/190 + 3*d**4/38 + 23*d**3/57 + 12*d**2/19 + 4*d + 6. Suppose m(t) = 0. Calculate t.
-4, -1, 3
Let v = 23863/9 - 2651. Factor 4/9 + 4/9*k**3 + 14/9*k - v*k**4 + 16/9*k**2 - 2/9*k**5.
-2*(k - 2)*(k + 1)**4/9
Factor 17*z**4 - 8*z + 309*z**2 - 21*z**3 - 286*z**2 + z**5 - 12*z**4.
z*(z - 1)**3*(z + 8)
Let z be 4 + (-75)/2*12/5. Let d = z + 173/2. Determine k so that -k - d - 1/2*k**2 = 0.
-1
Let a be (-2)/(-4) - 39/(-6). Let r(d) be the second derivative of 11/10*d**5 - 3/7*d**a + 0*d**2 + 0 + 9*d - 2/5*d**6 - 4/3*d**3 + 2/3*d**4. Factor r(u).
-2*u*(u + 1)**2*(3*u - 2)**2
Let n be (-1)/(-4) + ((-174)/120 - -2). Let y = -1206/5 - -242. Factor -y + n*s - 1/5*s**2.
-(s - 2)**2/5
What is u in -2/5*u**2 - 52*u - 1690 = 0?
-65
Let m = 39 + -32. Suppose -m*h = -h. Factor 0*q**3 + 2/13*q**5 + 0*q**4 + 0*q**2 + 0 + h*q.
2*q**5/13
Let o(a) be the first derivative of -a**6/2 - 21*a**5/5 - 45*a**4/4 - 13*a**3 - 6*a**2 + 30. Factor o(y).
-3*y*(y + 1)**3*(y + 4)
Let b(u) be the third derivative of -u**7/1470 - u**6/126 - u**5/30 - u**4/14 + 9*u**3/2 - 40*u**2. Let f(c) be the first derivative of b(c). Factor f(z).
-4*(z + 1)**2*(z + 3)/7
Let b(w) be the third derivative of 0 + 0*w**3 + 1/78*w**4 - 57*w**2 + 0*w + 1/390*w**5. Factor b(j).
2*j*(j + 2)/13
Let k(j) be the second derivative of 1/180*j**5 - 23*j + 0*j**2 - 1/54*j**3 - 1/270*j**6 + 1/108*j**4 + 0. Find m, given that k(m) = 0.
-1, 0, 1
Let q = -139 + 59. Let x = q + 82. Suppose -2*c**x - c**3 + 9/2*c**5 + 0 + 1/2*c + 6*c**4 = 0. Calculate c.
-1, 0, 1/3
Let s(f) be the first derivative of 2/7*f**2 - 16 - 2/7*f**5 + 9/14*f**4 - 2/3*f**3 + 0*f + 1/21*f**6. Factor s(u).
2*u*(u - 2)*(u - 1)**3/7
Let h(t) be the first derivative of -49*t**5/20 - 77*t**4/4 - 263*t**3/6 - 33*t**2/2 - 9*t/4 - 123. Determine f, given that h(f) = 0.
-3, -1/7
Suppose 216 = 7*m - 3*m + 4*d, 5*d = -m + 70. Find u such that -40 - 105