d**2 + 0. Factor j(y).
2*(y + 1)*(5*y - 2)/7
Suppose -27/2 - 25/4*s + 1/4*s**2 = 0. Calculate s.
-2, 27
Let j(g) be the first derivative of 0*g**4 + 0*g**2 + 1/120*g**6 - 6 + 0*g + 0*g**5 - 2/3*g**3. Let z(x) be the third derivative of j(x). Factor z(b).
3*b**2
Suppose -256/15 - 2/15*n**3 - 88/5*n - 24/5*n**2 = 0. What is n?
-32, -2
Suppose 182 + 28 = 3*f. Let x be (8/f)/((4/5)/4). Factor 1/7 + x*b**3 + 4/7*b + 6/7*b**2 + 1/7*b**4.
(b + 1)**4/7
Let m = 8/61 + -19/610. Let w(t) be the second derivative of 0 + 1/6*t**4 - 4*t**2 + 4*t + 4/3*t**3 - m*t**5. Factor w(k).
-2*(k - 2)*(k - 1)*(k + 2)
Suppose 0 = c + 6 - 17. Suppose -3*i + c = 2. Factor -2*f + f**4 + 1/3 + 4*f**2 - 10/3*f**i.
(f - 1)**3*(3*f - 1)/3
Suppose 3*f + 2*m = 29, -3*m + 72 = 4*f - 7*m. Let w(y) be the first derivative of 2/3*y**3 - f - 3*y**2 + 4*y. Factor w(t).
2*(t - 2)*(t - 1)
Factor 30/7*w - 8/7*w**2 - 4.
-2*(w - 2)*(4*w - 7)/7
Let -7/2*g**2 + 0*g + 18 - 1/2*g**3 = 0. What is g?
-6, -3, 2
Suppose -392 = 2*p + 4*f + 96, -4*f = 3*p + 740. Let q be ((-32)/30 + 1)/(14/p). Let 2/5*n**2 - q*n**3 + 4/5*n + 0 = 0. What is n?
-2/3, 0, 1
Suppose 90 = 179*i - 161*i. Let a(p) be the third derivative of -1/132*p**6 + 0*p**3 - 2/55*p**i - 4*p**2 + 0 + 0*p - 1/33*p**4. Suppose a(v) = 0. What is v?
-2, -2/5, 0
Let o = 8377 + -42326/5. Let l = o - -89. Factor 2/5*f**3 - l*f**2 + 2/5*f + 0.
2*f*(f - 1)**2/5
Factor -34/3*o - 2/3*o**3 - 20/3 - 16/3*o**2.
-2*(o + 1)*(o + 2)*(o + 5)/3
Let c(l) be the second derivative of -63/20*l**5 + 17/2*l**4 + 0 + 3*l**2 - 15/2*l**3 - 17*l. Factor c(w).
-3*(w - 1)*(3*w - 1)*(7*w - 2)
Let h(p) be the second derivative of 0*p**2 - 4/45*p**6 + 0 - 1/9*p**3 + 13*p - 1/9*p**4 + 7/30*p**5. Suppose h(b) = 0. Calculate b.
-1/4, 0, 1
What is h in -22 - 4*h**3 + 15*h**2 + 10 - 5*h + 9*h**3 - 60*h - 63 = 0?
-5, -1, 3
Let s = -28235/17 + 1661. Solve 4/17 + s*h - 6/17*h**2 + 2/17*h**4 - 2/17*h**3 = 0.
-1, 1, 2
Let l be (70/(-30))/((-1)/3). Let v(g) = g**2 - 6*g - 5. Let w be v(l). Determine i, given that -21*i**w - i - 59*i**2 + 8 - 27*i - 44*i**3 = 0.
-1, 2/11
Let m(z) be the second derivative of -z**4/3 - 152*z**3/3 - 2888*z**2 - 15*z - 24. Find r, given that m(r) = 0.
-38
Suppose -2*k + 6 = -4*n, -4*k + 13 = 2*n + 1. Let l(c) = -c**2 + 6*c - 3. Let u be l(5). Factor -z**2 - k*z + 5*z - z**u.
-2*z*(z - 1)
Suppose 0 = 2*m - 0 - 8. What is c in -20*c**3 + 0*c**m - 14*c**4 - 2*c**4 - 8*c**2 - 4*c**5 = 0?
-2, -1, 0
Let b(a) be the first derivative of 0*a**2 + 1/39*a**6 + 0*a - 3/26*a**4 + 0*a**5 - 26 - 4/39*a**3. Factor b(c).
2*c**2*(c - 2)*(c + 1)**2/13
Let o(l) be the second derivative of 0 - 19/30*l**3 - 3*l + 3/5*l**2 + 1/4*l**4. Suppose o(x) = 0. Calculate x.
3/5, 2/3
Let r(f) = 16*f**2 - 100*f - 83. Let v(o) = -6*o**2 + 34*o + 28. Let p(t) = 4*r(t) + 11*v(t). Factor p(d).
-2*(d + 1)*(d + 12)
Suppose -4*o = h - 2*h - 214, -3*o - 5*h + 149 = 0. Let k = o + -11. Solve -8 - 8*b**4 - 93*b**2 + 19*b**2 - 48*b - k*b**3 + 0*b**4 = 0 for b.
-2, -1, -1/4
Let m(u) be the second derivative of 1/2*u**4 + 3/4*u**5 + 1/14*u**7 + 0*u**2 + 2/5*u**6 + 23*u + 0*u**3 + 0. Determine r so that m(r) = 0.
-2, -1, 0
Let 0 - 2/21*q**3 - 150/7*q - 20/7*q**2 = 0. What is q?
-15, 0
Let i(j) be the second derivative of j**5/10 - 19*j**4/6 + 55*j**3/3 + 363*j**2 - j + 9. Factor i(v).
2*(v - 11)**2*(v + 3)
Factor -5*z**4 + 27*z**3 - 1843*z - 102*z**3 + 1218*z - 375*z**2.
-5*z*(z + 5)**3
Let u(n) be the first derivative of 26*n**3/3 + n**2/2 + 2*n + 2. Let c be u(2). Factor -1 + 26*k + 16*k + 30*k + 17 + 54*k**3 + c*k**2.
2*(3*k + 2)**3
Let r(o) = -42*o**2 + 169*o + 5. Let s be r(4). Let d(k) be the second derivative of 3/11*k**2 + s*k - 2/33*k**3 - 1/66*k**4 + 0. What is h in d(h) = 0?
-3, 1
Let a(j) be the third derivative of j**8/252 - 26*j**7/105 + 169*j**6/30 - 2197*j**5/45 - 21*j**2 + 4. Determine g, given that a(g) = 0.
0, 13
Let d(h) be the second derivative of 0 + 6*h - 18/5*h**5 - 6*h**6 + 16/9*h**3 - 18/7*h**7 + 0*h**2 + 4/3*h**4. Factor d(r).
-4*r*(3*r - 1)*(3*r + 2)**3/3
Let d(r) be the second derivative of -r**5/80 - 23*r**4/48 + r**3 + 375*r. What is x in d(x) = 0?
-24, 0, 1
Let d(m) be the third derivative of 2*m**7/945 - m**6/1080 - m**5/135 + m**4/216 + 46*m**2. Factor d(a).
a*(a - 1)*(a + 1)*(4*a - 1)/9
Let v(o) be the third derivative of o**8/6720 + o**7/2520 + 7*o**4/24 - 12*o**2. Let c(w) be the second derivative of v(w). Factor c(p).
p**2*(p + 1)
Let x(g) be the second derivative of g**6/195 - 11*g**5/130 + 5*g**4/39 - g - 271. Factor x(y).
2*y**2*(y - 10)*(y - 1)/13
Let h(u) be the second derivative of u**4/9 - 52*u**3/9 - 112*u**2/3 - 149*u. Factor h(o).
4*(o - 28)*(o + 2)/3
Suppose 0 = 2*m - m - 5. Let c be -2 + m - (4 - 5). Factor -c*a + 5*a**4 - 3*a**4 - 1 - 1 + 4*a**3.
2*(a - 1)*(a + 1)**3
Let b(v) = 3*v**5 - 4*v**4 - 5*v**3 - 2*v**2 - 4*v + 4. Let p(n) = n**4 - n**3 - n**2 + n - 1. Suppose -2*l + 20 = 3*l. Let u(x) = l*p(x) + b(x). Factor u(o).
3*o**2*(o - 2)*(o + 1)**2
Let w(p) be the third derivative of -p**7/630 + 2*p**5/15 + 35*p**4/24 + 7*p**2. Let q(k) be the second derivative of w(k). Solve q(y) = 0 for y.
-2, 2
Suppose 3*d = -2*d + 160. Find k such that -10*k**5 + 23 + 30*k**3 + 8*k + d*k**2 - 23 - 4*k**4 = 0.
-1, -2/5, 0, 2
Solve 0 - 1/2*g**3 + 0*g + 11*g**2 = 0.
0, 22
Let h(c) = -15*c**4 + 165*c**3 - 135*c**2 - 1795*c - 1470. Let t(s) = -5*s**4 + 55*s**3 - 45*s**2 - 598*s - 490. Let g(a) = -3*h(a) + 10*t(a). Factor g(i).
-5*(i - 7)**2*(i + 1)*(i + 2)
Let p be -3 - ((-369)/82 + (-6)/(-4)). Factor p - 2/19*y**3 + 0*y + 20/19*y**2.
-2*y**2*(y - 10)/19
Let o(s) be the second derivative of -s**7/399 + s**6/95 + 3*s**5/190 - 11*s**4/114 + 2*s**3/19 + 207*s. Suppose o(y) = 0. What is y?
-2, 0, 1, 3
Let 0 - 3/4*p - p**5 - 3*p**4 + 2*p**2 + 3/4*p**3 = 0. Calculate p.
-3, -1, 0, 1/2
Factor -7 - 15*g - 8 + 15*g**2 - 8*g - 5*g + 31*g - 3*g**3.
-3*(g - 5)*(g - 1)*(g + 1)
Let q(j) be the first derivative of -4*j**5 - 105*j**4/8 + 95*j**3/2 + 115*j**2/2 - 60*j - 410. Let q(s) = 0. What is s?
-4, -1, 3/8, 2
Suppose a + 32 = 2*a. Let p be 81/4*a/12. Suppose 44*q**4 - 60*q - 23*q**4 - 12 + 60*q**3 - 63*q**2 + p*q**4 = 0. What is q?
-1, -2/5, 1
Let y(t) be the third derivative of t**8/2520 - 2*t**7/1575 - t**6/225 + t**5/225 + t**4/60 + 147*t**2. Determine m so that y(m) = 0.
-1, 0, 1, 3
Let i(g) be the first derivative of -g**5/10 - g**4/6 + 4*g**3/3 + 4*g**2 + 6*g + 15. Let h(t) be the first derivative of i(t). Factor h(c).
-2*(c - 2)*(c + 1)*(c + 2)
Suppose 4*r - 5*d - 133 - 392 = 0, -5*r = 5*d - 600. Factor 8 - 2*v**2 + 64*v + 55*v - r*v.
-2*(v - 1)*(v + 4)
Let i(t) be the third derivative of t**7/840 - t**6/160 - t**5/240 + t**4/32 - 3*t**2 - t. Factor i(j).
j*(j - 3)*(j - 1)*(j + 1)/4
Let y(r) be the second derivative of -3/14*r**5 - 3/14*r**4 + 15*r + 2/105*r**6 + 8/21*r**3 + 0*r**2 + 0. Find m such that y(m) = 0.
-1, 0, 1/2, 8
Let o = -64 + 66. Solve 2*m**3 + 10*m**o - 9*m - 10 - 5*m**5 + m**3 - 6*m + 17*m**3 = 0 for m.
-1, 1, 2
Suppose o + 1 = 3. Factor 525*s**3 + 214*s + 56*s**2 + 24 - 5*s**4 + 502*s**o + 152*s**4 - 10*s.
3*(s + 1)*(s + 2)*(7*s + 2)**2
Let u be 11/1 + (-3420)/324. Let y(r) be the second derivative of u*r**3 - 7*r + 0*r**2 + 0 + 1/6*r**5 - 4/9*r**4 - 1/45*r**6. Let y(n) = 0. Calculate n.
0, 1, 2
Let 10816/7 + 10608/7*s + 1/7*s**3 - 207/7*s**2 = 0. Calculate s.
-1, 104
Let a(x) be the third derivative of -x**9/15120 - x**8/1260 - x**7/420 - 23*x**5/60 + 10*x**2. Let z(j) be the third derivative of a(j). Solve z(w) = 0 for w.
-3, -1, 0
Let q(l) be the third derivative of -l**5/510 + 61*l**4/204 - 20*l**3/17 + 71*l**2. Suppose q(m) = 0. Calculate m.
1, 60
Let n(s) be the third derivative of 0*s + 0*s**3 + 1/72*s**4 - 13/240*s**6 - 18*s**2 - 7/360*s**5 + 0. Factor n(y).
-y*(3*y + 1)*(13*y - 2)/6
Let n(f) = 2*f**2 + 9*f + 3. Let x(g) = -g**2 - 5*g - 2. Let h(d) = -4*n(d) - 7*x(d). Let h(c) = 0. Calculate c.
-2, 1
Let o(r) be the third derivative of 1/135*r**5 + 2/27*r**4 + 0 + 0*r**3 + 16*r**2 + 0*r. Factor o(m).
4*m*(m + 4)/9
Let q(j) be the third derivative of -1/15*j**5 + 34*j**2 + 0*j + 0 + 0*j**3 - 1/2*j**4. Factor q(n).
-4*n*(n + 3)
Suppose -19 - 61 = -20*p. Let j(m) be the first derivative of -9 - 1/6*m**p + 0*m**2 + 0*m**3 + 0*m + 1/15*m**5. Find