 + 0 + 1/15*a**4. Factor g(p).
-(3*p + 1)*(5*p - 2)**2/5
Let k(g) be the second derivative of -g**9/30240 - g**8/3840 - g**7/3360 + 7*g**4/12 + 8*g. Let x(u) be the third derivative of k(u). Factor x(z).
-z**2*(z + 3)*(2*z + 1)/4
Let d(h) be the third derivative of 225*h**8/112 + 37*h**7/14 - 43*h**6/45 + 4*h**5/45 - 104*h**2. Factor d(p).
p**2*(p + 1)*(45*p - 4)**2/3
Let d(w) = -11*w**2 - 230*w - 2651. Let j(o) = -45*o**2 - 920*o - 10605. Let h(m) = -25*d(m) + 6*j(m). Find u such that h(u) = 0.
-23
Let r(y) = -25*y**3 + 37*y**2 - 20*y + 4. Let o(a) = 26*a**3 - 36*a**2 + 19*a - 4. Let c(z) = 4*o(z) + 5*r(z). Suppose c(k) = 0. Calculate k.
2/7, 2/3, 1
Let t(v) = 15*v**2 + 95*v**3 - 26*v + 95*v**3 + 4 - 191*v**3. Let f be t(13). Factor -2/5*y**f + 2/5*y**3 + 0 + 0*y + 4/5*y**2.
-2*y**2*(y - 2)*(y + 1)/5
Find f, given that 288/5 + 78/5*f - 6/5*f**2 = 0.
-3, 16
Let t be 4 + -5 - (1 - 1). Let u(k) = 21*k**2 - 4*k + 1. Let p(a) = a**2 + a + 1. Let n(v) = t*u(v) + 6*p(v). Factor n(b).
-5*(b - 1)*(3*b + 1)
Let j(v) be the second derivative of -v**6/90 + v**5/30 - v**3/9 + v**2/6 + 2*v + 32. Let j(f) = 0. Calculate f.
-1, 1
Let v(k) be the first derivative of -k**4/18 + 4*k**3/9 - k**2 + 125. Let v(m) = 0. What is m?
0, 3
Suppose -2*o**3 + 169*o - 7*o**3 + 117 + 87*o**2 + 280*o - 142*o + 74*o = 0. Calculate o.
-3, -1/3, 13
Let p be 3/(-2)*(-684)/27. Determine j so that -20*j**2 - 17*j**4 - 10*j**5 + 2*j + 4 + p*j**4 - 5*j**4 + 8*j**3 = 0.
-1, -2/5, 1
Let n(o) be the second derivative of -3*o**6/8 + 109*o**5/80 + 95*o**4/48 - 53*o**3/24 + 3*o**2/4 + 2*o + 383. Determine w, given that n(w) = 0.
-1, 1/5, 2/9, 3
Let t(x) be the second derivative of 5 - x**2 - 2/3*x**3 + x - 1/6*x**4. Find g such that t(g) = 0.
-1
Let g(o) be the third derivative of 10*o**2 + 2/2205*o**7 - 1/36*o**4 + 0*o + 2/63*o**3 + 1/90*o**6 + 0 - 1/504*o**8 - 2/315*o**5. Find h such that g(h) = 0.
-1, 2/7, 1
Let v = -2/26459 - 12753228/132295. Let o = -96 - v. Factor -4/5*y - 2/5*y**2 - o.
-2*(y + 1)**2/5
Let l(b) = 3*b**5 - 4*b**3 + 2*b**2 + 3*b - 2. Let g(f) = -10*f**5 + 13*f**3 - 7*f**2 - 10*f + 7. Let t(n) = -2*g(n) - 7*l(n). Solve t(h) = 0 for h.
-1, 0, 1
Suppose -19*y + 21 = -12*y. Factor -12*u**y - 17*u**2 - 7*u**4 - 16*u + 4*u**5 + 15*u**4 - 15*u**2.
4*u*(u - 2)*(u + 1)**2*(u + 2)
Factor 2*a**3 + 3*a**3 - 3163*a**2 + 606015*a - 40603005 + 148*a**2.
5*(a - 201)**3
Let x(b) be the first derivative of b**3/3 - 11*b**2 + 21*b - 112. Solve x(p) = 0.
1, 21
Let r(i) be the second derivative of i**6/2880 - i**5/240 - 5*i**4/192 + i**3 + 21*i. Let n(w) be the second derivative of r(w). Solve n(m) = 0 for m.
-1, 5
Let c(z) be the first derivative of z + 0*z**3 + 3 + 0*z**2 - 1/60*z**4. Let a(o) be the first derivative of c(o). Factor a(j).
-j**2/5
Suppose 0 = -3*j - 4*l, -14*l + 11*l + 7 = 4*j. Let p(d) be the first derivative of 11 - 1/2*d**4 + 2*d**3 - 2/5*d**5 + d**2 - j*d. Factor p(w).
-2*(w - 1)**2*(w + 1)*(w + 2)
Let l(t) be the third derivative of -7*t**6/48 + 3*t**5/8 + 5*t**4/4 - 5*t**3/3 + 83*t**2. Factor l(n).
-5*(n - 2)*(n + 1)*(7*n - 2)/2
Let j(z) be the third derivative of -z**7/1680 + 17*z**6/960 - 31*z**5/160 + 175*z**4/192 - 49*z**3/24 + 128*z**2. Factor j(u).
-(u - 7)**2*(u - 2)*(u - 1)/8
Let w = -12 + 7. Let x(g) = 2*g**3 + 14*g + 6. Let q(z) = 3*z**3 + 15*z + 6. Let y(t) = w*q(t) + 6*x(t). Factor y(o).
-3*(o - 2)*(o + 1)**2
Let b = -3539/2 - -1770. Solve b*o**4 + 1/2 - 2*o**3 - 2*o + 3*o**2 = 0 for o.
1
Let t = 21 - 17. Solve -5*w**4 - 6*w**3 - 9*w**3 - 4*w**t + 5*w**4 + 25*w - 6 = 0 for w.
-3, -2, 1/4, 1
Factor 16/17*m - 40/17 + 2/17*m**2.
2*(m - 2)*(m + 10)/17
Find r, given that -2*r**4 + 40*r**3 - 3706*r**2 + 3671*r**2 - 3*r**4 = 0.
0, 1, 7
Let u(f) be the first derivative of -3*f**4 + 44*f**3/3 - 10*f**2 - 12*f + 162. Let u(m) = 0. Calculate m.
-1/3, 1, 3
Let c be 60*((-10)/(-3) + -3). Suppose 2*o + 3*o + 3*r = 20, 2*r + c = 5*o. Factor -27 + o*b**2 + 49 + 14 - 24*b.
4*(b - 3)**2
Let f(g) be the first derivative of -g**5/50 + g**4/5 + 7*g**3/10 - 2*g**2/5 - 2*g + 191. Let f(m) = 0. What is m?
-2, -1, 1, 10
Let y be 26/((-10)/(-8)*8/(-60)). Let s = y - -160. Factor -2/5*a**s - 1/5*a**5 + 1/5*a + 0 + 2/5*a**2 + 0*a**3.
-a*(a - 1)*(a + 1)**3/5
Let -2/7*z**3 - 8/7 + 8/7*z + 2/7*z**2 = 0. What is z?
-2, 1, 2
Let v = 430 - 425. Let w(g) be the third derivative of 0*g + 3/40*g**6 - 1/70*g**7 + 0*g**4 - v*g**2 + 0*g**3 + 0 - 1/10*g**5. Factor w(x).
-3*x**2*(x - 2)*(x - 1)
Let a(f) be the second derivative of -f**6/90 + 13*f**5/30 - 253*f**4/36 + 182*f**3/3 - 294*f**2 + 356*f. Suppose a(s) = 0. Calculate s.
6, 7
Let j(s) be the first derivative of s**6/2 + 69*s**5/5 + 315*s**4/2 + 950*s**3 + 6375*s**2/2 + 5625*s + 236. Factor j(d).
3*(d + 3)*(d + 5)**4
Let y(x) be the third derivative of x**6/1140 - x**5/6 + x**2 - 51*x. Determine v so that y(v) = 0.
0, 95
Suppose 170 = 10*i + 7*i. Suppose i = 240*v - 235*v. Factor -9/4 + 3*l - 3/4*l**v.
-3*(l - 3)*(l - 1)/4
Find z such that -201/4*z + 39/2 + 15/4*z**2 = 0.
2/5, 13
Let r be 4 + ((-2)/28 - (-20737)/(-6230)). What is i in -18/5 + r*i**3 + 18/5*i**2 - 3/5*i = 0?
-6, -1, 1
Factor -55*d + 16 + 20*d**2 + 27 + 5*d**3 - 13.
5*(d - 1)**2*(d + 6)
Let f(y) be the second derivative of y**7/1050 - y**6/225 + y**5/150 - y**3 + y**2 - 50*y. Let t(g) be the second derivative of f(g). Factor t(b).
4*b*(b - 1)**2/5
Let w(i) = 4*i**2 - 6*i - 9. Let j be w(3). Factor 3/4*t**2 + 27 + j*t.
3*(t + 6)**2/4
Let 9 - 1/2*s**4 - 3/2*s**3 + 7/2*s**2 + 27/2*s = 0. Calculate s.
-3, -2, -1, 3
Let o(v) be the first derivative of -v**4 - 76*v**3/3 + 40*v**2 + 60. Factor o(s).
-4*s*(s - 1)*(s + 20)
Let r(u) be the third derivative of u**8/3024 + 2*u**7/315 + 11*u**6/360 - 17*u**5/270 - 7*u**4/18 + 4*u**3/3 - 301*u**2. What is f in r(f) = 0?
-6, -2, 1
Factor 40/3*k + 1/3*k**3 + 17/3*k**2 - 100.
(k - 3)*(k + 10)**2/3
Let x(s) be the second derivative of 2*s**6/9 + 4*s**5/5 - s**4/9 - 8*s**3/3 - 8*s**2/3 + 3*s + 2. Find v, given that x(v) = 0.
-2, -1, -2/5, 1
Factor -1/4*b + 0*b**3 + 0 + 1/4*b**5 - 1/2*b**4 + 1/2*b**2.
b*(b - 1)**3*(b + 1)/4
Let o be 954/(-371)*1/(-2). Factor -24/7*j**4 - o*j**5 + 0 - 1/7*j - 22/7*j**3 - 8/7*j**2.
-j*(j + 1)**2*(3*j + 1)**2/7
Let h(o) = 3*o**2 - 401*o + 20000. Let x(v) = -v**2 + v. Let z(w) = h(w) + x(w). Solve z(b) = 0.
100
Solve 45*g**2 + 33*g**3 + 85 - 155*g - 3*g**5 - 6*g**4 - 93 + 80 - 3*g**4 + 17*g = 0.
-4, -3, 1, 2
Let d(q) = 584*q**3 - 24*q**2 + q - 581*q**3 - 7*q - 3*q. Let k(v) = v**3 - 6*v**2 - 2*v. Let b = -16 - -7. Let w(j) = b*k(j) + 2*d(j). Factor w(a).
-3*a**2*(a - 2)
Let w = -91 + 1913/21. Let r(j) be the first derivative of 0*j + 1/7*j**2 - 2/35*j**5 + 2 + w*j**3 - 1/14*j**4. Factor r(z).
-2*z*(z - 1)*(z + 1)**2/7
Let s = -60 + 182. Let n = -119 + s. Factor 3/2*l + 0 - n*l**2.
-3*l*(2*l - 1)/2
Let k be 2 + -1 + (-3 - -3). Let h be (5 - -6) + (-1 - k). Let -2*x**4 + 6*x**2 - h*x**3 + 2*x**4 + 3*x**4 = 0. What is x?
0, 1, 2
Let y(i) be the second derivative of i**4/78 - 16*i**2/13 - 129*i. Let y(c) = 0. What is c?
-4, 4
Let v = 359/312 - 1/39. Let t(y) be the first derivative of -v*y**2 + 3/2*y + 4 - 5/4*y**3. Factor t(d).
-3*(d + 1)*(5*d - 2)/4
Let u be (5/3 - 2)/((-25)/375). Suppose 4*a + 10 = 2*w, 0 = 5*w - w + u*a - 7. Factor 0*x + 4/9*x**2 + 0 - 2/9*x**w - 2/9*x**4.
-2*x**2*(x - 1)*(x + 2)/9
Let l(k) = -2*k**3 - 92*k**2 - 180*k - 82. Let s(f) = 6*f**3 + 276*f**2 + 541*f + 243. Let m(y) = 7*l(y) + 2*s(y). Let m(w) = 0. What is w?
-44, -1
Let z(s) be the first derivative of -s**3/4 - 87*s**2 - 10092*s - 623. Suppose z(h) = 0. Calculate h.
-116
Let r = 26533 + -26533. Find a, given that r*a + 3/4*a**3 + 0 + 3/2*a**2 = 0.
-2, 0
Let h(q) be the second derivative of q**6/600 + 3*q**5/100 + q**4/5 + 2*q**3 + 8*q. Let r(u) be the second derivative of h(u). What is c in r(c) = 0?
-4, -2
Let t(f) = -29*f**2 + 60*f - 49. Let w(p) = -p**2 + p. Let q(z) = 6*z**2 - 14*z + 12. Let u(g) = -q(g) + w(g). Let o(x) = 2*t(x) - 9*u(x). Factor o(r).
5*(r - 2)*(r - 1)
Let v(h) be the second derivative of h**6/10 + 3*h**5/2 - 18*h**4 + 27*h**3 + 405*h**2/2 - 46*h - 1. Factor v(m).
3*(m - 3)**2*(m + 1)*(m + 15)
Let o = -16 - -44. Let -o*i**3 - 41*i**3 + 79*i**3 - 5*i**4 = 0. What is i?
0, 2
Determine t, given that 0*t - 20/3*t