+ 4/57*h**3 + 0 - 1/114*h**4 - 1/190*h**5. Factor t(s).
-2*(s - 2)*(s + 1)*(s + 2)/19
Let u = -44/49 - -2689/2940. Let v(j) be the third derivative of 1/75*j**6 + 0*j**3 + 0*j + 2*j**2 - 1/30*j**5 + 0 + u*j**4. Solve v(h) = 0.
0, 1/4, 1
Let u be -31 + 1*-2 + (6 - 5). Let f be (-1 - 22/(-16))*u/(-48). Factor -f*k**4 - 3/2*k**3 - 1 - 13/4*k**2 - 3*k.
-(k + 1)**2*(k + 2)**2/4
Let q(p) = p**2 + 4. Let x(d) = 48*d**4 + 168*d**3 + 198*d**2 + 75*d + 12. Let s(r) = 3*q(r) - x(r). Factor s(g).
-3*g*(g + 1)*(4*g + 5)**2
Let g(l) = 5*l**3 + 5*l**2 - 30*l + 90. Let h(y) = -y + 3. Let c(q) = g(q) - 30*h(q). Factor c(u).
5*u**2*(u + 1)
Let o(p) = 2*p**5 - 5*p**4 - p**2 + p. Let f(h) = 15*h**5 - 30*h**4 - 27*h**3 + 12*h**2 + 3*h. Let d(g) = -f(g) + 9*o(g). Let d(z) = 0. What is z?
0, 1, 2
Let t(c) be the first derivative of -2*c**5/95 - 3*c**4/19 - 8*c**3/19 - 8*c**2/19 + 180. Find z such that t(z) = 0.
-2, 0
Find z, given that -116/5*z**3 - 240 + 12/5*z**4 + 224*z - 108/5*z**2 + 4/5*z**5 = 0.
-5, 2, 3
Let y(o) be the third derivative of -o**6/1080 + o**5/120 - o**4/36 - 23*o**3/6 + 25*o**2. Let p(w) be the first derivative of y(w). Factor p(s).
-(s - 2)*(s - 1)/3
Let z(h) be the third derivative of h**7/8820 - h**6/2520 - h**5/210 - 5*h**4/24 - 10*h**2. Let s(a) be the second derivative of z(a). Factor s(u).
2*(u - 2)*(u + 1)/7
Let o be (-9 - (-20 - -14))/(-1). Solve -4/9*a + 0 - 2/3*a**2 - 2/9*a**o = 0 for a.
-2, -1, 0
Suppose -517*d = -574*d + 114. Solve 3/8*t + 3/8*t**5 - 3/2*t**d - 3/4*t**3 + 3/4 + 3/4*t**4 = 0 for t.
-2, -1, 1
Solve 15 - 109*c - 63 - 3*c**2 + 160*c = 0.
1, 16
Let d(p) be the third derivative of -p**6/240 - 3*p**5/40 - 5*p**4/16 - 7*p**3/12 + 52*p**2. Factor d(h).
-(h + 1)**2*(h + 7)/2
Suppose -5*x - 4*u = -24, -3*x - x - 2*u = -18. Let s(z) be the first derivative of -5/2*z**2 - 1/4*z**x + 5 + 4/3*z**3 + 2*z. Factor s(p).
-(p - 2)*(p - 1)**2
Solve -28*f**3 - 56 - 416*f + 240*f + 2*f**4 + 7 - 134*f**2 - 23 = 0.
-2, -1, 18
Suppose 17*o = 13*o + 8. Let r(g) = 3*g**3 - 2*g + 1. Let h be r(1). Solve 192 + 2*t**2 - 189 - 3*t**o - h*t = 0 for t.
-3, 1
Suppose 3*s = -0*s + t + 335, 3*s - 325 = -4*t. Let q = 114 - s. Let 4/9 - 2/9*m - 4/9*m**2 + 2/9*m**q = 0. Calculate m.
-1, 1, 2
Let z(x) = 4*x**2 + 592*x + 21907. Let u(p) = -28*p**2 - 4144*p - 153348. Let g(a) = 3*u(a) + 20*z(a). Factor g(k).
-4*(k + 74)**2
Let y(r) = 2*r**3 + 6*r**2 - 2*r + 6. Let j(n) = 3*n**3 + 12*n**2 + 11 - 2*n**3 + 2*n**3 + 0*n**3 - 5*n. Let z(b) = 4*j(b) - 7*y(b). Factor z(f).
-2*(f - 1)**3
Let t(l) = -2*l**2 + 2. Let z(c) = c - 5 - 12 + 5*c**2 + 13. Let s(m) = 7*t(m) + 3*z(m). Determine h, given that s(h) = 0.
-2, -1
Let c(b) be the third derivative of b**8/336 + 4*b**7/105 + 5*b**6/24 + 19*b**5/30 + 7*b**4/6 + 4*b**3/3 + 159*b**2. Let c(g) = 0. Calculate g.
-2, -1
Let q(r) = r**3 - 3*r**2 - r - 8. Let u be q(4). Solve 3*y**u + 0*y**4 - 3*y**2 - 41*y + 43*y - 2*y**3 = 0.
-1, 0, 2/3, 1
Let u(b) be the second derivative of -3*b**5/140 + 2*b**4/21 - 2*b**3/21 + 6*b + 68. Solve u(d) = 0.
0, 2/3, 2
Let -344*c + 180*c + 2*c**2 + 200*c = 0. Calculate c.
-18, 0
Let f be 52/117*(-18)/(-4). Let d(q) = -q**2 + 20*q - 25. Let z(p) = -3*p**2 + 81*p - 99. Let o(n) = f*z(n) - 9*d(n). Factor o(y).
3*(y - 3)**2
Let o(g) be the first derivative of g**6/3 - 62*g**5/5 + 141*g**4 - 756*g**3 + 2133*g**2 - 3078*g + 718. Suppose o(j) = 0. Calculate j.
3, 19
Let w(h) be the second derivative of h**6/90 + 7*h**5/15 + 61*h**4/9 + 112*h**3/3 + 96*h**2 - h - 38. Let w(j) = 0. What is j?
-12, -2
Let p = 424/843 - -46/281. Factor 0 - p*j**2 - 2/3*j.
-2*j*(j + 1)/3
Let f(z) be the first derivative of -z**3/27 - z**2 + 7*z - 67. Factor f(x).
-(x - 3)*(x + 21)/9
Let r(v) be the second derivative of v**4/96 + 13*v**3/8 + 77*v**2/16 - 6*v + 13. Factor r(l).
(l + 1)*(l + 77)/8
Let h be (12/(-13))/(-6) + (-1077)/(-13). Let o = -81 + h. Solve 0*r**o + 1/4*r**3 - 1/4*r + 0 = 0.
-1, 0, 1
Let a = -2/13175 + 13179/26350. Factor -1/2*m**4 + 0 + 0*m + a*m**2 + 0*m**3.
-m**2*(m - 1)*(m + 1)/2
Let g be (204/(-238))/(6/(-21)). Let n(p) be the third derivative of -1/20*p**5 + 0 + 3/8*p**4 + 10*p**2 + 0*p + 0*p**g. Suppose n(z) = 0. What is z?
0, 3
Let a(u) be the third derivative of -u**7/945 + u**6/540 + 2*u**5/135 - u**4/27 - 190*u**2. Determine x so that a(x) = 0.
-2, 0, 1, 2
Let k = 2/4251 + 335821/17004. Let p = k + -205/12. Factor 8/3 + p*y + 2/3*y**2.
2*(y + 2)**2/3
Let a be ((-9)/(-30))/(12/(-1750)). Let d = a - -44. Factor 0 - 1/4*p**2 + d*p.
-p*(p - 1)/4
Let l(p) = 28*p - 8. Let g be l(6). Let a be (-1)/20 - (-40)/g. Factor a*w - 2/5 - 1/5*w**3 + 2/5*w**2.
-(w - 2)*(w - 1)*(w + 1)/5
Let z(y) be the second derivative of y**8/168 + y**7/35 + y**6/20 + y**5/30 + 9*y**2 + 6*y. Let o(h) be the first derivative of z(h). Factor o(v).
2*v**2*(v + 1)**3
Suppose -229 = -4*p - 221. Let w(n) be the second derivative of -8*n + 0 - 9/7*n**p + 2/7*n**3 - 1/42*n**4. Factor w(u).
-2*(u - 3)**2/7
Factor 6879*g**2 + 488*g - 88*g**2 + 5 + 3 + 651*g**2.
2*(61*g + 2)**2
Suppose -2*h + 17 = 3. Determine l, given that 4 + 4*l + h*l + l**3 - 3*l + 0*l + 5*l**2 = 0.
-2, -1
Let f(g) be the second derivative of g**7/14 + g**6/5 - g**4/2 - g**3/2 - g + 3. Factor f(j).
3*j*(j - 1)*(j + 1)**3
Let g(z) = -z**3 + z**2 - 1. Let x = 20 - 23. Let u(p) = -6*p**3 + 9*p**2 - 4*p - 5. Let r(d) = x*u(d) + 15*g(d). Let r(o) = 0. What is o?
0, 2
Let -4/3*o**2 - 20/3*o**4 + 58/9*o**3 + 0 + 0*o + 14/9*o**5 = 0. Calculate o.
0, 2/7, 1, 3
Suppose -y - 4*v = 7, 4*y - v = 2*v + 29. Find d such that 5*d**4 - 5*d**3 + 10*d + 0*d**4 + y*d**5 - 10*d**3 - 5*d**2 = 0.
-2, -1, 0, 1
Factor -5/4*o**2 - 3645/4 + 135/2*o.
-5*(o - 27)**2/4
Let p(k) be the second derivative of -1/84*k**4 + 17*k - 1/14*k**2 + 0 + 1/21*k**3. Factor p(d).
-(d - 1)**2/7
Let c(t) be the third derivative of t**8/10080 - t**7/2520 - t**6/60 + 19*t**5/60 + 16*t**2. Let z(l) be the third derivative of c(l). Factor z(w).
2*(w - 3)*(w + 2)
Let j(u) = 55*u + 608. Let w be j(-11). Suppose 0*z**2 + 0*z + 2/7*z**4 + 0*z**w + 0 = 0. What is z?
0
Factor -108 - 66*p - 8*p**2 + 2/3*p**3.
2*(p - 18)*(p + 3)**2/3
Let f(y) = y**2 + 12*y + 20. Let t be f(-10). Let 2*r**2 - 5 + t + 3 = 0. Calculate r.
-1, 1
Suppose y - 6*y = 4*y. Let p(d) be the third derivative of 0*d**4 + y*d + 1/504*d**8 + 1/90*d**5 + 1/60*d**6 + 0*d**3 - 3*d**2 + 0 + 1/105*d**7. Factor p(k).
2*k**2*(k + 1)**3/3
Let c be 1/(-10 + -9 + 1458/76). Determine s, given that -44/7*s**2 + 8/7*s**4 + c*s + 12/7 - 2*s**3 = 0.
-2, -1/4, 1, 3
Let k(j) be the third derivative of 5*j**8/1008 - 2*j**7/63 + 5*j**6/72 - j**5/18 - 395*j**2. Factor k(r).
5*r**2*(r - 2)*(r - 1)**2/3
Let u(o) = 22*o - 154. Let l be u(7). Let z(n) be the third derivative of 1/60*n**6 + l*n - 1/30*n**5 - 1/6*n**4 + 0 + n**2 + 0*n**3. Factor z(v).
2*v*(v - 2)*(v + 1)
Suppose -2*s - 29 = -3*c, -3*c - 4*s + 28 + 13 = 0. Let j = 15 - c. Let -16/7 - 4*w**2 + 152/7*w**j - 138/7*w**3 - 6*w**5 + 72/7*w = 0. What is w?
-2/3, 2/7, 1, 2
Factor -13*o - o**2 - 3*o**2 + 3 - o**2 - 9.
-(o + 2)*(5*o + 3)
Let t = 269851/6 - 44975. Find y such that 1/12*y**3 - 1/12*y - 1/6 + t*y**2 = 0.
-2, -1, 1
Determine z so that -8/3*z - 1/3*z**3 - 5/3*z**2 - 4/3 = 0.
-2, -1
Let a = -314 + 283. Let z = a + 36. Let -46/11*g**3 - 4*g**4 - 12/11*g**2 + 0 - 10/11*g**z + 0*g = 0. Calculate g.
-3, -1, -2/5, 0
Factor -54*g + g**3 - 19*g + 61*g - 11*g**2.
g*(g - 12)*(g + 1)
Determine l, given that 4232/17*l**2 + 2/17*l**5 + 0 + 4416/17*l**3 + 0*l + 186/17*l**4 = 0.
-46, -1, 0
Let a(j) be the second derivative of -j**5/20 - 7*j**4/6 - 22*j**3/3 - 20*j**2 - 19*j + 2. Let a(z) = 0. What is z?
-10, -2
Suppose a = 5*a + 3*w - 11, -4*w = -4. Suppose -8 + 2 = -a*k. What is s in -3*s**k - 9*s - 3 - 4 + 2 - 9*s**2 + 2 = 0?
-1
Let a(t) be the first derivative of -4*t**5/5 - 7*t**4 + 4*t**3 + 38*t**2 - 56*t - 108. Find u such that a(u) = 0.
-7, -2, 1
Let c be (3725/298)/(8*2/4). Suppose -11/8*u**2 - 35/8*u - 1/8*u**3 - c = 0. What is u?
-5, -1
Let w(z) be the second derivative of -z**7/210 - z**6/40 - z**5/60 + z**4/8 + z**3/3 - 5*z**2 - 3*z. Let m(s) be the first derivative of w(s). Factor m(v).
-(v - 1)*(v + 1)**2*(v + 2)
Let p(v) be the third derivative of 0*v**3 + 1/240*v**5 + 0*v + 0 + 1/48*v**4 - 8*v**2. Factor p(b