 2/7*x + 2/7*x**q + 0.
2*x*(x + 1)/7
Let o(p) = p - 2. Let k(h) = -2*h**2 + 44*h - 208. Let s(l) = k(l) - 4*o(l). Let s(q) = 0. What is q?
10
Suppose -2/9*f**3 + 0 + 0*f**2 + 0*f = 0. Calculate f.
0
Let 4*n + 77*n**3 + 56*n**2 - 91*n - 81*n**3 - 109*n = 0. What is n?
0, 7
Suppose -3*x - 99 = 2*g, 113 - 294 = 3*g - 2*x. Let j be (-165)/g - (-6)/57. Factor -c**2 - j - 2*c**2 - 1 - 6*c + c**2.
-2*(c + 1)*(c + 2)
Let a(y) be the third derivative of -y**6/120 - 7*y**5/30 - 5*y**4/2 - 12*y**3 + y**2 - y. Let a(i) = 0. What is i?
-6, -2
Let t(o) be the second derivative of 4*o**7/63 - 2*o**6/15 - 34*o**5/15 - 4*o**4/3 + 64*o**3/9 + 10*o**2 + 52*o. Determine w so that t(w) = 0.
-3, -1, -1/2, 1, 5
Let z(m) be the third derivative of m**5/135 + 11*m**4/54 + 4*m**3/3 + 14*m**2. Suppose z(h) = 0. What is h?
-9, -2
Let r(v) be the second derivative of v**10/5040 + v**9/1680 - v**7/840 + 25*v**4/12 - 4*v. Let w(d) be the third derivative of r(d). Factor w(p).
3*p**2*(p + 1)**2*(2*p - 1)
Find r, given that -5 - r**2 + 21/2*r = 0.
1/2, 10
Let o(s) be the second derivative of 3*s**5/100 + 8*s**4/5 + 61*s**3/10 + 9*s**2 - 153*s - 2. Factor o(f).
3*(f + 1)**2*(f + 30)/5
Let k = 1427 + -1421. Let i(m) be the first derivative of -4/27*m**3 + k + 1/18*m**4 + 0*m + 1/9*m**2. Solve i(l) = 0 for l.
0, 1
Let b(u) = 5*u**2 - 5. Let o(y) = 9*y**2 - 9. Suppose 15 - 3 = -3*z. Let k(d) = z*o(d) + 7*b(d). Solve k(v) = 0 for v.
-1, 1
Let b be 3 + 18*-2*3/(-12). Factor t**4 - b*t**2 + 0*t**4 + 2*t**4 + 66*t**2 + 24*t**3 - 81.
3*(t - 1)*(t + 3)**3
Let a(m) be the first derivative of -m**5 - 25*m**4 - 160*m**3 + 200*m**2 + 2000*m - 274. Find p such that a(p) = 0.
-10, -2, 2
Let j(o) = o**2 - 5. Let v(b) = b**2 - b - 7. Let z(a) = -5*j(a) + 4*v(a). Factor z(i).
-(i + 1)*(i + 3)
Factor -39/5 - 2*z + 1/5*z**2.
(z - 13)*(z + 3)/5
Let k(q) be the first derivative of -2*q**3/3 - 132*q**2 - 8712*q + 225. Suppose k(o) = 0. Calculate o.
-66
Let r(o) = -o**2 + 3*o + 5. Let c(j) = -80 - 45 - 4*j + j**2 + 119. Suppose 4*z + 4 = 3*z + 5*k, k = -5*z + 32. Let y(h) = z*r(h) + 5*c(h). Factor y(w).
-w*(w + 2)
Suppose -820 = 4*z - 6*z. Factor -x - z*x**2 + 6 + 10*x + 413*x**2.
3*(x + 1)*(x + 2)
Let f be (2/1)/(20/310). What is d in -62*d + 33*d - 450 - f*d - 2*d**2 = 0?
-15
Let h = 11339/13506 + -14/2251. Suppose 0*k + h*k**5 + 23/6*k**3 + 0 + 11/3*k**4 + k**2 = 0. Calculate k.
-3, -1, -2/5, 0
Let v(g) be the third derivative of g**6/80 - 3*g**5/40 - g**4/16 + 3*g**3/4 - 449*g**2. Factor v(o).
3*(o - 3)*(o - 1)*(o + 1)/2
Let b(a) = -a**2 + 13*a - 9. Let d be b(9). Let w = d + -27. What is x in 6/11*x**3 + w + 0*x + 4/11*x**2 + 2/11*x**4 = 0?
-2, -1, 0
Let f be 3/(-2)*(5 - 7). Suppose 6*a**2 + 0*a**3 + 2*a**f + 3*a**3 - 2*a**3 = 0. Calculate a.
-2, 0
Let f = -1214 + 1214. Suppose 4*l - 1 - 11 = 0. Factor 0*s + 0 + f*s**2 - 1/2*s**l + 1/2*s**4.
s**3*(s - 1)/2
Let 9 + y**4 - 27 + 14 - 5*y**4 - 4*y**2 + 12*y**3 - 12*y + 12 = 0. Calculate y.
-1, 1, 2
Let w be 208/(-130) - (-92)/20. Suppose 2/7*u**w + 1/7*u**2 + 1/7*u**4 + 0 + 0*u = 0. Calculate u.
-1, 0
Suppose 0 = -5*w + 7*w - 6. Let y(f) = 2*f + 5. Let a be y(8). Find r, given that 3*r**5 + 15*r**2 + 9*r**2 + 0 - a*r + 6 - r**4 - 5*r**4 - 6*r**w = 0.
-2, 1
Let u be (((-3)/21)/(18/21))/(-6). Let b(r) be the third derivative of 0*r**3 + 4*r**2 + 0*r - u*r**4 - 1/180*r**5 + 0. Find g, given that b(g) = 0.
-2, 0
Let b(s) be the third derivative of 3/2*s**3 - 1/4*s**4 + 1/60*s**5 + 14*s**2 + 0*s + 0. Determine t so that b(t) = 0.
3
Let n = -10027/2 - -5015. Determine j so that j - n + 1/2*j**2 = 0.
-3, 1
Let r = 869 + -866. Let u = -1/220 - -1777/3740. Factor u + 12/17*t**2 + 18/17*t + 2/17*t**r.
2*(t + 1)**2*(t + 4)/17
Let v = 85 + -60. Factor 15*q**2 - v*q + 311*q**3 - 306*q**3 - 5*q**4 + 14 - 4.
-5*(q - 1)**3*(q + 2)
Let j(y) be the second derivative of 0*y**5 + 0*y**2 + 0 + 22*y + 0*y**3 + 0*y**4 - 1/30*y**6 - 1/126*y**7. Solve j(k) = 0 for k.
-3, 0
Let w(j) be the second derivative of 242*j**7/21 - 55*j**6/3 - 487*j**5/10 + 49*j**4/3 + 76*j**3/3 + 8*j**2 + 19*j. Solve w(a) = 0.
-1, -2/11, 1/2, 2
Factor -7*w + 1 + 3 + 56*w**2 - 35*w - 18*w.
4*(w - 1)*(14*w - 1)
Suppose 12*a = 3*a + 45. Suppose -3*l = 3*g - 9, 2*l - 17 = -a*g - 2*l. Let 0 + w**3 + 1/4*w**2 + 0*w - 1/4*w**4 - w**g = 0. Calculate w.
-1, -1/4, 0, 1
Let c be -2 + 8 + 1 + -5. Let b(u) = 6*u**2 - 1. Let v be b(-1). Factor 4*y - c*y**3 + 4 + 3*y - v*y - 4*y**2.
-2*(y - 1)*(y + 1)*(y + 2)
Let h(g) be the second derivative of -g**8/420 + g**7/35 - 2*g**6/15 + 4*g**5/15 + 5*g**3/6 - 22*g. Let j(u) be the second derivative of h(u). Factor j(a).
-4*a*(a - 2)**3
Let i = -5417 - -81271/15. Factor 0 - 32/15*f - 2/15*f**3 - i*f**2.
-2*f*(f + 4)**2/15
Let v be (90/27)/(2/3 + 0). Factor -2*x**2 + 17*x**2 - v*x**2 - 24*x + 27*x**4 + 74*x**2 - 90*x**3.
3*x*(x - 2)*(3*x - 2)**2
Let i(h) be the third derivative of h**7/5670 + h**6/540 + h**5/135 - 13*h**4/24 + h**2. Let u(c) be the second derivative of i(c). Find t such that u(t) = 0.
-2, -1
Let f be (2 + 2)/(32 + -31). Let i(w) be the third derivative of 1/12*w**4 - 1/30*w**5 + 0*w**3 - f*w**2 + 0*w + 0. Factor i(k).
-2*k*(k - 1)
Factor 4*w + 18 + 2/9*w**2.
2*(w + 9)**2/9
Let z(a) be the third derivative of a**7/280 + a**6/30 + a**5/8 + a**4/4 + a**3/6 + 8*a**2. Let s(x) be the first derivative of z(x). Factor s(f).
3*(f + 1)**2*(f + 2)
Let s = -602 - -608. Let z(f) be the first derivative of 10/3*f**3 + 4*f - 7*f**2 + s. Factor z(y).
2*(y - 1)*(5*y - 2)
Let f(d) = -20*d - 164 + 7*d + 2*d + 165. Let t(g) = -2*g + 4. Let m be t(5). Let j(v) = -v**2 + 23*v - 2. Let c(w) = m*j(w) - 13*f(w). Factor c(x).
(x + 1)*(6*x - 1)
Let g(u) be the first derivative of -2*u**5/5 + 5*u**4/2 - 14*u**3/3 + 3*u**2 + 96. Solve g(r) = 0 for r.
0, 1, 3
Let v = -23 - -25. Factor -3*c + 12 + 11*c - 31*c**v + 0 + 11*c**2.
-4*(c - 1)*(5*c + 3)
Let l(a) be the first derivative of a**4/6 - a**2 - 11*a + 6. Let y(u) be the first derivative of l(u). Factor y(o).
2*(o - 1)*(o + 1)
Let r(t) be the second derivative of -t**7/21 + 8*t**6/45 + 5*t**5/9 - 2*t**4/27 - 17*t**3/27 + 4*t**2/9 - 227*t. Solve r(l) = 0.
-1, 1/3, 4
Determine n, given that -714/5*n + 1156/5 - 2/5*n**3 + 72/5*n**2 = 0.
2, 17
Let c be 11 + (-3 - (5 + -5)). Let p(y) = y**2 - 1. Let k(a) = -4*a**2 + 32*a - 28. Let n(z) = c*p(z) + k(z). What is x in n(x) = 0?
-9, 1
Suppose 1/5*w**3 - 9/5*w**2 + 33/5 - 5*w = 0. Calculate w.
-3, 1, 11
Let q be ((-560)/(-6) - 0) + (-2)/6. Factor -15*d**4 - 88*d**5 + 5*d**3 + 2*d - 12*d + 15*d**2 + q*d**5.
5*d*(d - 2)*(d - 1)**2*(d + 1)
Let k(x) be the first derivative of x**4/12 - x**3/2 - 22*x - 18. Let r(h) be the first derivative of k(h). Factor r(a).
a*(a - 3)
Let a(d) be the third derivative of -d**9/60480 + d**7/5040 + d**5/5 - 15*d**2. Let v(r) be the third derivative of a(r). Find b, given that v(b) = 0.
-1, 0, 1
Let r(n) be the first derivative of 6/11*n**2 - 6 - 2/55*n**5 - 3/11*n**4 + 0*n + 2/33*n**3. What is p in r(p) = 0?
-6, -1, 0, 1
What is i in 50/11 + 16/11*i**3 - 80/11*i + 2/11*i**4 + 12/11*i**2 = 0?
-5, 1
Let f(g) = g + 11. Let b = -26 + 17. Let m be f(b). Suppose 9/5*u**3 - 6/5*u**m - 9/5*u + 6/5 = 0. What is u?
-1, 2/3, 1
Let l(m) = 24*m**3 + 66*m**2 - 1 + 0*m**4 + 40*m - m**4 - 2 - 3. Let g(s) = 0*s - 25*s**3 - 33*s + 5 - 65*s**2 - 7*s. Let q(f) = 6*g(f) + 5*l(f). Factor q(z).
-5*z*(z + 2)**3
Suppose 145*u**2 + 10*u - 5 - 144*u**2 - 6*u = 0. What is u?
-5, 1
Let d(p) = 12*p**3 - 88*p**2. Let h(y) = -5*y**2 + 14*y. Let b be h(3). Let o(g) = -4*g**3 + 29*g**2. Let t(i) = b*d(i) - 8*o(i). Let t(c) = 0. What is c?
0, 8
Find w, given that -1/4*w**4 - 407/4*w - 25/4*w**3 - 189/4*w**2 - 121/2 = 0.
-11, -2, -1
Let o be 0 - (-2 - 1) - 119/51. Factor 4/3 - 2*u**2 + 2/3*u**4 - o*u**3 + 2/3*u.
2*(u - 2)*(u - 1)*(u + 1)**2/3
Suppose -5*r + 4*i + 13 = 3*i, 5*r + 5*i = -5. What is q in 3*q**2 - 2*q**2 - 2*q**3 - 2*q**2 + 3*q**r = 0?
0, 1
Factor 12 + 15*b**2 - b**4 + 3*b**2 + 9*b**3 + 18*b**2 + 35*b + 8*b**2 - 11*b**2.
-(b - 12)*(b + 1)**3
Let o(c) be the third derivative of c**7/140 - c**6/20 + c**5/8 - c**4/8 + c**2 - 92*c. Find f, given that o(f) = 0.
0, 1, 2
Suppose 4*s + 16 = 4*k, 15 + 5 = -4*k - 5*s. Let i(p) be the third derivative of 0*p**3 + p**2 + 0 + k*p**4 + 0*p**5 + 1