m. Factor -5/4*g**2 + 1/4*g**m + 1/4*g**3 + 3/4*g + 0.
g*(g - 1)**2*(g + 3)/4
Factor 3*t**5 + 30/7*t**4 + 0*t - 24/7*t**3 + 0 + 0*t**2.
3*t**3*(t + 2)*(7*t - 4)/7
Let h be 0 - (-8)/((-432)/(-1)). Let f(y) be the third derivative of 0*y + h*y**4 + 2/27*y**3 + 1/540*y**5 + 0 - y**2. Suppose f(w) = 0. Calculate w.
-2
Let q be 4/(-26) + (-21)/(1092/(-16)). Let l(m) be the second derivative of -1/13*m**3 - q*m**2 - 8*m - 1/78*m**4 + 0. Factor l(s).
-2*(s + 1)*(s + 2)/13
Let o = -90 + 93. Solve -104*j + 3*j**2 - j**o + 59*j + 49*j = 0.
-1, 0, 4
Let c(d) be the second derivative of d**4/102 + 36*d**3/17 + 2916*d**2/17 + 32*d. Solve c(x) = 0 for x.
-54
Let z(h) = -11*h**4 - 19*h**3 - 16*h**2 - 8*h - 9. Let q = 31 + -22. Let j(m) = -5*m**4 - 9*m**3 - 8*m**2 - 4*m - 4. Let o(x) = q*j(x) - 4*z(x). Factor o(r).
-r*(r + 1)*(r + 2)**2
Let f(i) be the third derivative of -98/3*i**3 - 1/60*i**5 - 7/6*i**4 - 29*i**2 + 0 + 0*i. Factor f(b).
-(b + 14)**2
Let m(k) = 9*k**2 - 243*k + 3839. Let h(t) = 14*t**2 - 364*t + 5758. Let b(s) = -5*h(s) + 8*m(s). Solve b(z) = 0 for z.
31
Let g be -7 - -5 - -3*(-14)/(-21). Let h(o) be the third derivative of 1/6*o**6 + 8/15*o**5 + 0*o + 6*o**2 + 2/3*o**4 + 2/105*o**7 + g*o**3 + 0. Factor h(y).
4*y*(y + 1)*(y + 2)**2
Let s(p) be the third derivative of -5*p**8/336 + 5*p**7/42 - p**6/8 - 5*p**5/12 + 5*p**4/6 - p**2 - 34*p. Determine g so that s(g) = 0.
-1, 0, 1, 4
Let j = -6573/2 - -3288. Factor -12 + 27/2*r - j*r**2.
-3*(r - 8)*(r - 1)/2
Let k(r) be the second derivative of 2*r**6/15 + 9*r**5/5 + 9*r**4 + 62*r**3/3 + 24*r**2 - 69*r. Factor k(u).
4*(u + 1)**2*(u + 3)*(u + 4)
Let j(i) = -i**3 - i**2 + 8*i + 6. Let m be j(-3). Suppose m = 3*q + q - 16. Factor 0*g**3 + 1/7*g**5 - 1/7*g + 2/7*g**q - 2/7*g**2 + 0.
g*(g - 1)*(g + 1)**3/7
Let q(m) be the second derivative of 2/15*m**5 + 0 + 4/9*m**3 + 1/3*m**4 + 1/3*m**2 + 1/45*m**6 - 27*m. Factor q(u).
2*(u + 1)**4/3
Let a = 131 + -129. Factor 4*p**5 - a*p**4 - 328*p**2 - 2*p**4 + 332*p**2 - 4*p**3.
4*p**2*(p - 1)**2*(p + 1)
Let q be (-4 - -2) + (-40)/5. Let n be 1/q - ((-2)/(-4) - 1). What is j in n*j + 14/15*j**3 - 4/15 + 8/5*j**2 = 0?
-1, 2/7
Let f(w) be the second derivative of 6*w**2 - 5*w**4 + 4/5*w**5 + 0 + 16/3*w**3 - 11*w. Let f(v) = 0. What is v?
-1/4, 1, 3
Let g(d) be the first derivative of d**4/10 - 6*d**3/5 - 21*d**2/5 - 22*d/5 - 10. Factor g(b).
2*(b - 11)*(b + 1)**2/5
Suppose 0 = 5*k, 8*s + 4*k = 10*s. Determine m so that 8/3*m**2 - 2/3*m**3 + s - 8/3*m = 0.
0, 2
Let s be (-8)/80*-27 - ((-9)/6 - -4). Solve -s*q**3 + 2/5*q**2 + 4/5*q - 8/5 = 0.
-2, 2
Let p be (-1)/((-1)/4*2). Suppose 2*w = -p*w + 12. Factor 4*v**4 - v**5 - w*v - 9*v**3 + v + 7*v**2 + v**4.
-v*(v - 2)*(v - 1)**3
Let v(d) = -d**2 + 51*d - 465. Let x be v(12). Suppose -3/4*n**x + 3/4*n + 3/2*n**2 - 3/2 = 0. Calculate n.
-1, 1, 2
Let k be (-2)/(((-6)/6)/(-5 - -6)). Let v(i) be the second derivative of 2/21*i**3 + 0*i**k - 1/42*i**4 + 0 - 8*i. Factor v(u).
-2*u*(u - 2)/7
Let h = 37523 - 37523. Determine k so that 1/6*k**3 + 4/3*k + h - k**2 = 0.
0, 2, 4
Let p(r) = 4*r**5 - 4*r**4 + 32*r**3 - 8*r - 8. Let l(g) = g**5 - g**4 + g**3 - g - 1. Let v(i) = -8*l(i) + p(i). Factor v(z).
-4*z**3*(z - 3)*(z + 2)
Let i(q) be the third derivative of -q**8/672 + q**7/420 + q**6/240 - q**5/120 + 11*q**2 - q. Factor i(o).
-o**2*(o - 1)**2*(o + 1)/2
Let k(d) be the second derivative of 35*d**4/12 + 95*d**3/6 - 15*d**2 + d - 10. Let k(q) = 0. Calculate q.
-3, 2/7
Let b be 2/(-12)*4*((-68)/4 - -13). Factor -b + 14/3*m - m**2.
-(m - 4)*(3*m - 2)/3
Let z = 4861/60 + -81. Let b(x) be the third derivative of 0*x**3 + z*x**4 + 0 + 0*x - 6*x**2 - 1/150*x**5. Determine a so that b(a) = 0.
0, 1
Let p(n) be the second derivative of -n**7/84 - n**6/60 + n**5/5 + n**4/3 - 4*n**3/3 - 4*n**2 - 2*n + 30. Suppose p(t) = 0. Calculate t.
-2, -1, 2
Let n be (-2)/(1/8 + (-34)/16). Suppose -t + 4 - n = 0. Let 1/2*l + l**4 - l**2 - 1/2*l**t + 0 = 0. Calculate l.
-1, 0, 1/2, 1
Let g = -326/99 - -46/11. Let u be -4 + 6 - 9 - -7. Factor -2/9*p**2 + u + 10/9*p**3 - g*p**4 + 0*p.
-2*p**2*(p - 1)*(4*p - 1)/9
Let 3*m - 3*m**2 + 5*m**2 + 7*m - 28 - 36*m = 0. Calculate m.
-1, 14
Let z(o) be the second derivative of 5*o**4/12 + 290*o**3/3 + 8410*o**2 - 41*o. Factor z(u).
5*(u + 58)**2
Let n(m) = -m**3 + 12*m**2 + 134*m - 1593. Let j be n(11). Let -12/7*o**j + 0 - 12/7*o - 3/7*o**3 = 0. Calculate o.
-2, 0
Let h = 250 - 248. Let w(z) be the second derivative of 1/30*z**6 + 1/12*z**3 - 1/40*z**5 - 1/12*z**4 + 0*z**h + 0 - 13*z. Find t such that w(t) = 0.
-1, 0, 1/2, 1
Factor -6/5*t**2 + 0*t + 3/5*t**3 + 0.
3*t**2*(t - 2)/5
Let g(k) be the second derivative of k**5/90 - 5*k**2 - 11*k. Let w(y) be the first derivative of g(y). Factor w(p).
2*p**2/3
Let v(o) be the first derivative of -105/16*o**4 + 9/8*o**6 - 3/2*o**2 + 2 - 6*o**3 + 0*o + 9/10*o**5. Suppose v(r) = 0. Calculate r.
-2, -1/3, 0, 2
Suppose m + 0 = -s + 11, 0 = m + 3*s - 15. Suppose 7*a - m*a = 5*q + 10, 0 = 2*a + 10. Factor -2/13 + 2/13*t**2 + q*t.
2*(t - 1)*(t + 1)/13
Let o be 2/5 + (-425)/2000. Let z = o + 119/48. Solve -2/3*k**2 - 2 + z*k = 0.
1, 3
Let t(p) be the first derivative of p**4/90 + 2*p**3/45 - 8*p**2/15 - 29*p - 28. Let f(m) be the first derivative of t(m). Determine d, given that f(d) = 0.
-4, 2
Let m(q) be the first derivative of -2*q**3/21 - 8*q**2/7 - 24*q/7 + 125. Factor m(k).
-2*(k + 2)*(k + 6)/7
Let a be ((-111)/(-60) + -2)/((-54)/5). Let g(i) be the third derivative of 0*i + 0 + 6*i**2 - 1/36*i**3 + a*i**4 - 1/360*i**5. Let g(p) = 0. Calculate p.
1
Let j = -37 - -22. Let d = 18 + j. Suppose 4*z + 1 - 3*z**3 - d*z - z**2 + 2*z**3 = 0. What is z?
-1, 1
Let n(o) be the third derivative of -o**8/1344 + 73*o**7/420 - 7201*o**6/480 + 519*o**5 - 2376*o**4 + 4608*o**3 - 72*o**2 + o. Factor n(p).
-(p - 48)**3*(p - 1)**2/4
Solve 0 + 2*x + 2*x**2 + 1/2*x**3 = 0.
-2, 0
Find a, given that 9*a + 20 + 3*a**2 - 5*a**2 - 2*a**2 + 7*a = 0.
-1, 5
Let o(f) = f**3 + 10*f**2 + 7*f - 11. Let h be o(-9). Let d = 11 - h. Let -2*y + 4*y**2 - 2 - 2*y**5 - y + y + d*y**3 - 2*y**4 = 0. What is y?
-1, 1
Let q(o) be the first derivative of 0*o + 0*o**5 - 15 - 2/3*o**6 + 2*o**4 - 2*o**2 + 0*o**3. Determine t, given that q(t) = 0.
-1, 0, 1
Let k(l) be the first derivative of -16*l**5/5 - l**4 + 16*l**3/3 + 2*l**2 - 118. Factor k(z).
-4*z*(z - 1)*(z + 1)*(4*z + 1)
Let t(x) be the third derivative of x**6/60 - x**5/30 - x**4/3 + 4*x**3/3 - 24*x**2. Find j such that t(j) = 0.
-2, 1, 2
Suppose -2/17*a**4 - 184/17*a**3 - 16192/17*a - 4584/17*a**2 - 15488/17 = 0. What is a?
-44, -2
Let k be (-2475)/(-30) + 12/(-2). Let g = -76 + k. Find m, given that 1/2*m + m**2 - g*m**4 + 1/2*m**5 - m**3 - 1/2 = 0.
-1, 1
Let p be 6/78 - (0 - (-150)/(-78)). Factor 0*u**3 + 0 + 3/4*u - 3/4*u**5 + 3/2*u**p - 3/2*u**4.
-3*u*(u - 1)*(u + 1)**3/4
Suppose 469 - 469 = 28*s. Let o = -7 + 10. Let 2/13*t**2 + 0 + 0*t + s*t**o - 2/13*t**4 = 0. What is t?
-1, 0, 1
Suppose 2*p = 5*p - 6. Let 0*r**2 - 7*r + r - p*r**2 = 0. What is r?
-3, 0
Let v = -13024/39 + 334. Let d(f) be the third derivative of 0 + 0*f + 2*f**2 - 11/390*f**5 - v*f**3 - 1/12*f**4. Suppose d(a) = 0. What is a?
-1, -2/11
Let w be 180/(-2016) - (-3)/8. Factor -2/7*g**3 - w*g - 4/7*g**2 + 0.
-2*g*(g + 1)**2/7
Solve 0 - 16/13*c**2 + 6/13*c**4 - 8/13*c - 2/13*c**3 = 0.
-1, -2/3, 0, 2
Let y(r) be the second derivative of 1/27*r**4 + 0 - 2/27*r**3 - 15*r - 4/9*r**2. Let y(x) = 0. What is x?
-1, 2
Factor 77*o**3 + 26*o - 28*o**2 + 72*o**3 - 147*o**3.
2*o*(o - 13)*(o - 1)
Suppose -4 = 3*u - 13. Suppose -7*l - 3*y + 3 = -6*l, -u = -3*y. Factor 0 + 1/5*r**2 + l*r.
r**2/5
Solve 12264*j**2 - 2 + 34*j - 58 - 12266*j**2 = 0.
2, 15
Let 11289*w**2 - 11176*w**2 + 38*w + 0 + 0 - 3*w**3 = 0. What is w?
-1/3, 0, 38
Let a = -1790/3 + 598. Let d = 3 + -3. Suppose -4/3*n + a*n**2 + d = 0. What is n?
0, 1
Suppose 0*s + 2*s - 4 = 0. Let o = 5 - s. Determine v so that 2 - 5 - 6*v**3 - 2*v**4 - 4*v**2 + o = 0.
-2, -1, 0
Suppose -a + 6*a - 5*p - 900 = 0, 360 = 2*a - 4*p. Determine q so that 13*q**3 - 5*q**5 + 2*q**4 + 8*q**4 - a*q - 22*q**3 + 64*q**3 - 60*q**2 = 0.
-2, 0, 3
Suppose -5*q - 10 = 2*p + 3*p, -3*q - 14 = 5*p. Let i be q + 85/(-10) - -7. Factor y - i + 1/2*y**4 - y**3 + 0*y**2.
(y - 1)*