 - 72/7 = 0?
-2, 3
What is w in -186588*w**2 + 707*w + 2725*w - 32641*w**3 + 304855*w**3 - 16 = 0?
2/213, 2/3
Let z(p) be the first derivative of 0*p + 0*p**5 - 3/2*p**4 - 3/2*p**2 + 1/6*p**6 - 8/3*p**3 + 18. Suppose z(k) = 0. Calculate k.
-1, 0, 3
Let m(s) be the first derivative of -2*s**5/5 - 2*s**4/3 + 94*s**3/9 + 64*s**2/3 + 32*s/3 - 542. Solve m(u) = 0 for u.
-4, -1, -1/3, 4
Let y be 40/(-48)*(-6)/80. Let m = y - -91/80. Suppose -2/5 - 6/5*h**3 + 2/5*h**2 + m*h = 0. Calculate h.
-1, 1/3, 1
Let t be 1/9 + 578/306. Factor -1/5 - 1/5*w**t + 2/5*w.
-(w - 1)**2/5
Suppose j**2 + 93*j + 11 + 8*j**2 + 19 = 0. What is j?
-10, -1/3
Let j(u) be the first derivative of -1/135*u**6 + 1/45*u**5 - 1/54*u**4 + 0*u**2 + 10 + 12*u + 0*u**3. Let o(y) be the first derivative of j(y). Factor o(g).
-2*g**2*(g - 1)**2/9
What is t in -2/7*t**2 + 120/7*t - 1800/7 = 0?
30
Let y(j) be the third derivative of 7/720*j**6 + 1/420*j**7 + 1/120*j**5 - 1/48*j**4 + 0*j + 0 + 10*j**2 - 1/18*j**3. Factor y(h).
(h + 1)**3*(3*h - 2)/6
Let k be -25 + 28 + (-22)/8. Solve -1/2*v + 1/2*v**3 + k - 1/4*v**4 + 0*v**2 = 0 for v.
-1, 1
Factor 0 - 2/9*l**4 - 4/9*l**2 - 10/9*l**3 + 16/9*l.
-2*l*(l - 1)*(l + 2)*(l + 4)/9
Let r = 18245 + -18242. Factor 6/7*z**5 + 0 + 36/7*z**r - 24/7*z**2 + 6/7*z - 24/7*z**4.
6*z*(z - 1)**4/7
Let a(d) be the second derivative of 5*d**7/42 + d**6/3 - 7*d**5/4 + 5*d**4/3 - d + 7. Factor a(r).
5*r**2*(r - 1)**2*(r + 4)
Let l(g) be the third derivative of -g**6/780 + 3*g**5/130 - 23*g**4/156 + 5*g**3/13 + 67*g**2. Factor l(q).
-2*(q - 5)*(q - 3)*(q - 1)/13
What is u in -175*u**2 - 30 - 99*u - 112*u - 119*u - 35*u = 0?
-2, -3/35
Factor -28 + 44/3*k - 1/3*k**2.
-(k - 42)*(k - 2)/3
Let c(z) be the third derivative of 3/8*z**3 - 25*z**2 + 0*z**4 + 0 + 0*z - 1/240*z**5. Find s such that c(s) = 0.
-3, 3
Let p = 8 + -6. Let b(r) = r**3 + 113*r**2 + 327*r - 330. Let f be b(-110). Let f*s**p - 8/3*s**3 + 4/3 - 4/3*s**4 + 8/3*s = 0. Calculate s.
-1, 1
Suppose 13 = -2*z + 5*m, -5*z - 5*m + 2*m = -45. Factor 11*d**4 - 5*d**4 - 27*d**2 + 9*d**4 + 12 - 6*d**3 - z*d**4.
3*(d - 2)*(d + 1)**2*(3*d - 2)
Factor -9/2 - 1/4*d**2 - 19/4*d.
-(d + 1)*(d + 18)/4
Let d(b) = 2*b + 22. Let c be d(-11). Let l be (4 - (-4 + c)) + 0. Factor 0*i**4 - i**2 - l*i**2 + 6*i + 3*i**4.
3*i*(i - 1)**2*(i + 2)
Suppose -2*m = -6 + 2. Let 14*g**m + 2*g**2 + 6*g**4 - 9*g**2 - 3*g + 5*g**2 - 15*g**3 = 0. Calculate g.
0, 1/2, 1
Let s(l) be the third derivative of l**8/23520 - l**7/1764 + 17*l**4/24 - 10*l**2. Let f(c) be the second derivative of s(c). Suppose f(h) = 0. Calculate h.
0, 5
Let r be (-9)/(54/(-4))*12 - 3. Suppose 5*k = -3*i + 8*i + 35, -r*i = 2*k + 14. Factor 0*g**2 + 0 + 0*g**k + 2/3*g**4 - 2/3*g**5 + 0*g.
-2*g**4*(g - 1)/3
Let k(w) be the second derivative of -6*w**2 - 21*w + 27/20*w**5 + 11/4*w**4 - 8*w**3 + 0. Factor k(u).
3*(u - 1)*(u + 2)*(9*u + 2)
Let h = 64/13 + -1139/234. Let g(f) be the second derivative of -6*f + 1/90*f**6 + 7/72*f**4 - h*f**3 + 0 - 7/120*f**5 + 0*f**2. Let g(x) = 0. What is x?
0, 1/2, 1, 2
Let w(a) be the first derivative of -a**5/80 - a**4/4 + 10*a - 19. Let y(v) be the first derivative of w(v). Let y(g) = 0. What is g?
-12, 0
Determine g so that 1/3*g - 1/3*g**3 + 0 + 0*g**2 = 0.
-1, 0, 1
Let v(k) be the third derivative of 4*k**7/945 + k**6/180 - k**5/30 + k**4/54 - 225*k**2. Find m, given that v(m) = 0.
-2, 0, 1/4, 1
Factor 0*b**3 - 26*b - 5*b**3 + 0*b**3 + 2*b**3 - 6*b**2 + 5*b**3 + 30.
2*(b - 5)*(b - 1)*(b + 3)
Let d(p) be the first derivative of p**6/48 + 7*p**5/4 + 245*p**4/4 + 3430*p**3/3 - 17*p**2/2 - 39. Let f(q) be the second derivative of d(q). Factor f(b).
5*(b + 14)**3/2
Let f be 1742/(-9581)*22/(-16). Factor 1/4*t + 3/4*t**3 + 0 + f*t**4 + 3/4*t**2.
t*(t + 1)**3/4
Let d be 8 - (-4 - (-15 + 5)). Let f be d*(11 + -10)*(2 - 1). Factor 0*u + 1/3*u**3 - u**5 + 0*u**f - 2/3*u**4 + 0.
-u**3*(u + 1)*(3*u - 1)/3
Find s such that 48/5*s**2 - 10 - 4*s + 2/5*s**4 + 4*s**3 = 0.
-5, -1, 1
Let i(d) = d**3 - 120*d**2 + 968*d - 2556. Let w(s) = -4*s**3 + 360*s**2 - 2902*s + 7669. Let z(h) = 11*i(h) + 4*w(h). Factor z(o).
-5*(o - 8)**3
Let n(u) = -u**3 - u. Let v(j) = 3*j**4 + 3*j**3 - 93*j**2 + 9*j + 90. Let f(t) = 6*n(t) + v(t). Determine d so that f(d) = 0.
-5, -1, 1, 6
Let h = -120/13 + 999/104. Solve 3/4*b + h*b**2 + 3/8 = 0 for b.
-1
Suppose -9/7*y + 1/7*y**2 + 8/7 = 0. Calculate y.
1, 8
Let j(q) be the third derivative of q**7/1785 - 7*q**6/510 + 2*q**5/17 - 26*q**4/51 + 64*q**3/51 + 3*q**2 + 11. Determine g so that j(g) = 0.
2, 8
Suppose 4*f + 29 - 33 = 0. Let s(b) = 7*b - 5. Let h be s(f). Suppose -4/7*i - 6/7*i**h + 0 - 2/7*i**3 = 0. What is i?
-2, -1, 0
Suppose -309 = -109*f + 129 - 2. Factor 0*v + 1/10 + 1/10*v**f - 1/5*v**2 + 0*v**3.
(v - 1)**2*(v + 1)**2/10
Let m(a) = -a**2 - 7*a + 22. Let d be m(-9). Let o(p) be the first derivative of 3/4*p**2 + 2 - 3/8*p**d + 2/5*p**5 + 1/2*p - 5/6*p**3. Solve o(k) = 0 for k.
-1, -1/4, 1
What is c in 240*c**2 - 42*c**3 - 5*c**5 + 8*c**3 + 100*c + 30*c**4 + 209*c**3 + 0*c**5 = 0?
-2, -1, 0, 10
Let f(z) = 15 - 31 - 12*z**2 + 4*z + 6*z**3 + 19. Let q(s) = -s**3 + 1. Let t(c) = 4*f(c) - 12*q(c). Determine w so that t(w) = 0.
0, 2/3
Let r(z) be the first derivative of -1/18*z**3 + 0*z + 0*z**4 + 1/30*z**5 - 7 + 0*z**2. Determine h so that r(h) = 0.
-1, 0, 1
Suppose -10 = -3*n - 2*n. Let l(a) = -20*a + 500. Let s be l(25). Suppose 0 + 2/11*c**n + s*c = 0. Calculate c.
0
Let l be 1 - (-4 + (-194)/(-22) + -4). Factor -l*r**2 - 8/11 + 8/11*r.
-2*(r - 2)**2/11
Let k be 112/12 + 4/(-12). Suppose -3 = -3*j + k. Find b, given that -10*b - 43/2*b**3 - 31*b**2 - 9/2*b**j + 4 = 0.
-2, -1, 2/9
Let m be (-12)/(-28) + 159/21. Determine k so that 3*k**4 + 9*k**2 + m*k**3 + k + 6*k**3 + 2*k - 5*k**3 = 0.
-1, 0
Let s(z) be the first derivative of -z**6/3 - 2*z**5/5 + z**4 + 89. Factor s(f).
-2*f**3*(f - 1)*(f + 2)
Let o = -696/143 + 5158/1001. Factor 8/7*l**2 - o*l**5 + 0*l + 4/7*l**4 + 2*l**3 + 0.
-2*l**2*(l - 4)*(l + 1)**2/7
Let l(b) = 36*b**3 - 71*b**2 + 31*b + 4. Let c(v) = 73*v**3 - 144*v**2 + 62*v + 9. Let o(w) = -6*c(w) + 14*l(w). Factor o(s).
2*(s - 1)**2*(33*s + 1)
Let w be 33/(-18) - ((-22)/4 - -3). Let x = -3/22 - -31/66. Solve -1/3*n**2 - x + w*n = 0.
1
Factor -16/9 + 2/3*r**2 + 4/3*r - 2/9*r**3.
-2*(r - 4)*(r - 1)*(r + 2)/9
Let r = 3984 + -7967/2. Determine j so that 1 + 3/2*j**2 - r*j**4 - 5/2*j + 1/2*j**3 = 0.
-2, 1
Let v(t) be the second derivative of -1/4*t**4 - 1/20*t**5 + 1/10*t**6 + 0*t**3 - 16*t + 1/42*t**7 + 0*t**2 + 0. Find y such that v(y) = 0.
-3, -1, 0, 1
Suppose 6*o = -o + 413. Suppose q = -o + 61. Factor 1/2*u**4 + 0 - 1/2*u**q + 1/2*u**5 + 0*u - 1/2*u**3.
u**2*(u - 1)*(u + 1)**2/2
Let g(n) be the second derivative of -2*n**7/21 + 13*n**5/5 + 16*n**4/3 - 8*n**3 - 32*n**2 + 13*n. Let g(t) = 0. What is t?
-2, -1, 1, 4
Let t = 2670 + -2665. Let a(k) be the second derivative of 6*k - 1/15*k**6 - 9*k**4 + 36*k**3 + 0 + 6/5*k**t - 81*k**2. Factor a(d).
-2*(d - 3)**4
Let h(x) = -2*x**3 - 12*x**2 - 12*x. Let v(o) = -8*o**3 - 48*o**2 - 49*o. Let y(p) = 18*h(p) - 4*v(p). Factor y(u).
-4*u*(u + 1)*(u + 5)
Suppose -3*d + 8*d = 15. Suppose -2*u + 3*y + 3 = 0, d*u + 2*y - y - 32 = 0. Factor -6*z**3 - 3*z**2 + 0 + 2*z**3 - 3*z**4 - 5*z**3 + u*z + 6.
-3*(z - 1)*(z + 1)**2*(z + 2)
Let j be (-4)/(-40) - -9*(-3)/270. Let l(y) be the third derivative of -1/150*y**5 + 0 + 1/3*y**3 + 5*y**2 + 1/15*y**4 + j*y. Let l(r) = 0. Calculate r.
-1, 5
Let g be (-1)/(0 + (-4)/52). Suppose 3*v + 7 - g = 0. Factor -2*p**4 - 6*p**v - 2*p**2 - 2*p - 2*p - 8*p**3 - 2*p**2.
-2*p*(p + 1)**2*(p + 2)
Let m be 3 - ((-26)/299 + (-2)/(-23))*-1. Solve 3/4*p**4 - 9*p**2 + 48 - 24*p + 3*p**m = 0.
-4, 2
Let p = -1148/9 - -128. Factor 2/9*b**2 - 2/3 + p*b.
2*(b - 1)*(b + 3)/9
Suppose -s = 11 + 2. Let c be (-26)/(-65) - s/5. Suppose q - c*q**2 - 4*q + 0*q**2 + 0*q = 0. What is q?
-1, 0
Let b = -4597/24 + 575/3. Let i(j) be the second derivative of 0*j**2 + b*j**4 + 0 + 0*j**5 - 1/20*j**6 + 4*j + 0*j**3. Determine d, given that i(d) = 0.
-1, 0, 1
Let y(p) = -p**3 + 7*p**2 - p + 9. Let h be y(7). Suppose h*z + 1 = 5. Factor 3 + u - 4*u**z - 9*u - 7 + 0*u.
-4*(u + 1)**2
Let l(b) = b**3 + b**2 - b - 1. Let a(j) = -6*j**2 - 16*j - 10. Suppose -3*y - 38 - 25