2*(3*z + 2)/4
Let u = 2 + 0. Suppose -q - b + 2 = -3, u*q = -4*b + 14. What is p in -2*p**4 - 6*p**2 - p + 6*p**q - p + 4*p = 0?
0, 1
Determine s, given that -95/4*s + 9/8*s**4 + 39/4*s**3 - 31*s**2 - 33/8 = 0.
-11, -1/3, 3
Let i(x) be the third derivative of 49/6*x**3 + 7/24*x**4 + 0*x + 25 + 1/240*x**5 - 2*x**2. Suppose i(j) = 0. What is j?
-14
Let i(k) be the third derivative of k**6/660 + k**5/66 - 4*k**4/11 - 84*k**3/11 + 127*k**2 - 1. Factor i(u).
2*(u - 7)*(u + 6)**2/11
Let l(m) = 6*m + 26. Let o be l(-4). Factor -8/5*p**3 - 32/5*p - 16/5 - 24/5*p**o - 1/5*p**4.
-(p + 2)**4/5
Find s, given that 20*s - s**3 - 10*s**4 - 8*s**3 + 5*s**5 + 20*s**2 - 6*s**3 = 0.
-1, 0, 2
Factor 48/7 + 2/7*b**2 + 20/7*b.
2*(b + 4)*(b + 6)/7
Let s = 90 - 86. Suppose 36 - 21 = 5*q. Factor 1/4*f**2 - 1/4*f - 1/4*f**s + 0 + 1/4*f**q.
-f*(f - 1)**2*(f + 1)/4
Let p(i) = -2*i**2 + 7*i - 1. Let d = 41 + -32. Let x(l) = -7*l**2 + 29*l - 4. Let c(n) = d*p(n) - 2*x(n). Factor c(b).
-(b - 1)*(4*b - 1)
Suppose -3*m - 2*m = -i - 5, -15 = 5*m - 5*i. Factor 4*k - 6*k + 51*k**2 - 52*k**m.
-k*(k + 2)
Let w be (-60)/(-18) + 2/3. Factor v**2 + w - 4*v**2 + 5 - 6*v + 0*v.
-3*(v - 1)*(v + 3)
Factor 9/2*p**2 - 1/2*p**4 + 0*p**3 - 6 + 2*p.
-(p - 3)*(p - 1)*(p + 2)**2/2
Suppose r - 4 = 2*q - r, 3*q - 5*r = -14. Find a such that 0 - 2/19*a**q + 0*a = 0.
0
Let r(d) be the third derivative of d**6/120 + d**5/12 + d**4/6 - 18*d**2 - 8*d. Let r(z) = 0. What is z?
-4, -1, 0
Let r(u) = -62*u**3 - 816*u**2 - 3472*u - 4915. Let b(g) = g**3 - 2*g - 1. Let t(v) = 6*b(v) - 3*r(v). Suppose t(n) = 0. What is n?
-17/4
Let s(x) be the second derivative of 1/15*x**6 - 2/3*x**3 - 2/5*x**5 + 0*x**2 + 0 - 23*x + 5/6*x**4. Factor s(u).
2*u*(u - 2)*(u - 1)**2
Let d be 2/13 + 82/(-533). Let w(k) be the third derivative of d - 1/120*k**4 + 4*k**2 - 1/30*k**3 + 1/300*k**5 + 1/600*k**6 + 0*k. Suppose w(b) = 0. What is b?
-1, 1
What is j in 0 - 3/2*j**3 - j - 1/2*j**4 + 5/2*j**2 + 1/2*j**5 = 0?
-2, 0, 1
Factor 80/3*m**2 - 10*m**3 + 160/3*m + 0 + 5/6*m**5 - 10/3*m**4.
5*m*(m - 4)**2*(m + 2)**2/6
Suppose 0*y - 2*y = 36. Let a = -81/5 - y. Factor -6/5*x - a + 3/5*x**2.
3*(x - 3)*(x + 1)/5
Factor -4/7*f**2 + 4 - 54/7*f.
-2*(f + 14)*(2*f - 1)/7
Let o be (28/8)/(24 - 13)*(-12)/(-7). Determine g so that o*g + 4/11 + 2/11*g**2 = 0.
-2, -1
Factor 0 - 44*t**2 - 1/2*t**3 - 968*t.
-t*(t + 44)**2/2
Let v(i) be the first derivative of 2*i**3/3 - 58*i**2 + 1682*i - 188. Factor v(r).
2*(r - 29)**2
Let z(o) be the first derivative of -o**3/18 + o**2/6 - 41. Suppose z(a) = 0. What is a?
0, 2
Let o(c) = 11*c + 37. Let q be o(-3). Determine d, given that 3/5*d**5 - 6/5*d**q + 12/5*d + 0 + 12/5*d**2 - 9/5*d**3 = 0.
-1, 0, 2
Suppose -5*u + 2*u - 4*p = 10, 4*u + 3*p + 4 = 0. Let d(b) be the second derivative of -7/3*b**3 - b + 0 + 7/10*b**5 - 1/3*b**4 + u*b**2. What is l in d(l) = 0?
-1, 2/7, 1
Let s(o) = 3*o**3 - 10*o**2 - o - 4. Let v(c) = -21*c**2 - 25*c**3 + 47*c**3 - 16*c**3 - 3*c - 9. Let a(i) = -9*s(i) + 4*v(i). Factor a(p).
-3*p*(p - 1)**2
Let s(h) = h**2 - 4*h - 4. Let l be s(6). Suppose -7*p = -3*p - l. Let -4*z - z**p - 1 - 5 + 2 = 0. Calculate z.
-2
Let g(u) = -u - 15. Let v be g(-15). Suppose -5 = -5*d + 2*p + 7, v = -d + p. Factor 0*m**d - 4/9*m**3 + 2/9*m**5 + 2/9*m + 0 + 0*m**2.
2*m*(m - 1)**2*(m + 1)**2/9
Let m be (25*1/90)/((-5)/(-51)). What is b in -2/3*b**2 - m*b - 2/3 = 0?
-4, -1/4
Let x be (-2)/12*(-633)/422. Find t such that 1/2*t**3 + 0 - x*t**5 - 1/4*t**4 + 0*t + 0*t**2 = 0.
-2, 0, 1
Let y(s) be the third derivative of 0 - 10*s**2 + 3/8*s**4 + 1/20*s**5 + s**3 + 0*s. Factor y(k).
3*(k + 1)*(k + 2)
Suppose -51*t + 230 - 29 - 99 = 0. Solve 4/7 + 12/7*d**t + 26/7*d = 0.
-2, -1/6
Let u(n) be the first derivative of -2*n**5/5 + n**4/2 + 4*n**3/3 - 87. Factor u(g).
-2*g**2*(g - 2)*(g + 1)
Let u(t) be the first derivative of t**4/4 - t**3 - 2*t**2 + 84. Factor u(s).
s*(s - 4)*(s + 1)
Let s(r) be the second derivative of -1/70*r**5 + 0 + 1/3*r**3 - 1/21*r**4 - 21*r - 4/7*r**2. Determine w, given that s(w) = 0.
-4, 1
Let l = -46 - -44. Let u be ((-4)/70)/(l/14). Factor -8/5*p + u*p**2 + 6/5.
2*(p - 3)*(p - 1)/5
Let i(h) be the second derivative of -h**7/39 + 12*h**6/65 - 27*h**5/65 + 14*h**4/39 - h**3/13 + 3*h - 5. Solve i(g) = 0.
0, 1/7, 1, 3
Let n(m) be the second derivative of -m**7/2940 + m**5/420 - 2*m**3 - 4*m. Let a(u) be the second derivative of n(u). Suppose a(z) = 0. Calculate z.
-1, 0, 1
Let y = 17 - 10. Let d = 137 + -134. Factor 4*o + 0 - y*o + o**d + 2.
(o - 1)**2*(o + 2)
Suppose -638*q = -419*q. Find r such that -3*r**2 + 9/2*r**3 + 0*r + 12*r**4 + q + 9/2*r**5 = 0.
-2, -1, 0, 1/3
Let a be 1*(-8)/6 - (-440)/132. Let 2/11*l - 2/11*l**a + 2/11 - 2/11*l**3 = 0. What is l?
-1, 1
Let x(r) = -r**2 + 4*r + 15. Let t be x(6). Factor 11*c**3 - 4*c**4 - 5*c**t + 5*c**3 + 20*c**2 + 5*c**3.
-4*c**2*(c - 5)*(c + 1)
Let w(p) be the first derivative of -p**6/216 - p**5/45 - p**4/24 - p**3/27 + 3*p**2/2 - 11. Let a(x) be the second derivative of w(x). Factor a(v).
-(v + 1)**2*(5*v + 2)/9
Let r be (-310)/(-78) + 37/1443. Find i, given that 13/7*i**3 + 0 + 4/7*i**2 - 4/7*i + 5/7*i**r = 0.
-2, -1, 0, 2/5
Let h(s) be the third derivative of -s**7/1260 + s**6/240 + s**5/120 - 11*s**4/144 + s**3/6 - 675*s**2. Factor h(q).
-(q - 3)*(q - 1)**2*(q + 2)/6
Let y = 1762 + -12332/7. Factor 2/7*h - 2/7 - y*h**3 + 2/7*h**2.
-2*(h - 1)**2*(h + 1)/7
Factor -26*y**3 + 0 + 30*y**2 + 0*y + 22/3*y**4 - 2/3*y**5.
-2*y**2*(y - 5)*(y - 3)**2/3
Factor 226/5*f - 2/5*f**2 + 0.
-2*f*(f - 113)/5
Let w(z) = 55*z**4 + 62*z**3 + 13*z**2 + 3. Let q(h) = 440*h**4 + 495*h**3 + 105*h**2 + 25. Let i(b) = 3*q(b) - 25*w(b). Let i(x) = 0. Calculate x.
-1, -2/11, 0
Solve -256*i**4 - 64*i + 80*i**5 + 16 - 52*i**4 - 60*i**2 + 211*i**3 - 174*i**3 + 307*i**3 - 8*i**2 = 0 for i.
-2/5, 1/4, 1, 2
Let y(r) be the second derivative of 1/10*r**5 + 0 + 22*r + 0*r**2 + 0*r**3 + 0*r**4. Factor y(n).
2*n**3
Let j(g) be the third derivative of g**5/28 + g**4/28 - 3*g**3/14 - 6*g**2. Suppose j(f) = 0. Calculate f.
-1, 3/5
Let x(k) = k**3 - 14*k**2 - 15*k. Let w be x(15). Let b be -4 - w - -1 - -3. Factor 2/7*i**2 - 2/7 + b*i.
2*(i - 1)*(i + 1)/7
Let w = -225 + 225. Factor 0*y**3 + w*y - 2/3*y**2 + 0 + 2/3*y**4.
2*y**2*(y - 1)*(y + 1)/3
Let h(g) be the third derivative of -g**7/945 + g**6/108 - 4*g**5/135 + g**4/27 - 72*g**2. Suppose h(i) = 0. What is i?
0, 1, 2
Suppose -4*b - 14 = -2*w, 5*b + 25 = -10*w + 15*w. Factor 1/2*s**2 + 1/6*s**w + 0 + 0*s.
s**2*(s + 3)/6
Let u = 125 - 65. Let q be (-28)/10*(-50)/u. Factor -5*v + 3 + q*v**2 - 1/3*v**3.
-(v - 3)**2*(v - 1)/3
Suppose -28*x = -80*x + 48 + 56. Factor 2/13*h**x + 16/13 + 12/13*h.
2*(h + 2)*(h + 4)/13
Let l(h) = -h**3 + 21*h**2 - 54*h + 4. Let z be l(18). Suppose -c + 3 = -0. Factor 0 - 2/5*j**z + 0*j + 0*j**c + 2/5*j**2.
-2*j**2*(j - 1)*(j + 1)/5
Let t(r) be the first derivative of -20 + 1/4*r**2 - 1/18*r**3 + 2/3*r. Factor t(k).
-(k - 4)*(k + 1)/6
Let l = -13087 + 13087. Factor 2/5*y**2 + 1/5*y**3 - 1/5*y**4 + 0*y + l.
-y**2*(y - 2)*(y + 1)/5
Suppose -2*l + 10 = 0, m - 28 = -0*m - 5*l. Determine c so that 9*c**4 + m*c**4 + c**5 + 3*c**5 + c**3 + 4*c**2 + 11*c**3 = 0.
-1, 0
Factor 260*j + 0*j**2 - j**2 - 3*j**2 - 3380 - j**2.
-5*(j - 26)**2
Let g(r) = -4*r**2 - 16*r + 2. Let i be g(-4). Let v(u) be the first derivative of 0*u + 0*u**2 - 21/10*u**5 + i*u**3 - 3*u**4 + 5/4*u**6 + 3. Solve v(a) = 0.
-1, 0, 2/5, 2
Let q(y) = 3*y**2 + 6*y. Let x be 22 + 1 - 4/2. Let t = x + -34. Let m(z) = 7*z**2 + 13*z. Let s(j) = t*q(j) + 6*m(j). Factor s(a).
3*a**2
Let a(h) be the third derivative of -15/2*h**3 + 0*h - 5/4*h**4 + 4*h**2 + 0 - 1/12*h**5. Factor a(w).
-5*(w + 3)**2
Suppose -3*v - 2*d + 20 = 0, 5*v + 130*d - 3 = 131*d. Determine s, given that -2/17*s**v + 0 + 4/17*s = 0.
0, 2
Let u(v) be the third derivative of -v**5/180 + v**4 - 72*v**3 - 3*v**2 - v. Determine q so that u(q) = 0.
36
Let x(y) be the third derivative of y**6/60 - y**5/120 - y**4/3 + y**3/3 + 79*y**2 + 2*y. Solve x(n) = 0 for n.
-2, 1/4, 2
Let m(w) = 3*w**2 - 55*w - 17. Let x be m(19). Let u be (108/x - (-4)/14)*1. Find l, given that u*l**3 + 2*l**4 + 8/7 + 32/7*l + 2/7*l**5 + 50/7*l**2 = 0.
-2, -1
Factor -54*o**3 - 3*o**4 + 45*o**2 - 12*o**4 - 76*o**3.
-5