5/12 + 5*x**4/8 + x**3/3 + 25*x**2. Let q(w) = 11*w**2 - 30*w - 5. Let s(i) = 4*q(i) + 7*r(i). Factor s(h).
3*(h - 2)*(3*h + 1)
Suppose 15 = -3*o, 5*g + o + 0*o = 20. Suppose -10 = -5*s + y, -g*s - 5*y = -s - 8. Solve -2/5*k**4 - 8/5*k + 16/5 + s*k**3 - 12/5*k**2 = 0.
-1, 2
Let r = 0 - -3. Suppose -r*j + 0*j + 18 = b, 0 = 2*b - 6. Find u, given that -15*u**4 - 2*u**4 + 5*u**4 - 3*u**j - 12*u**3 = 0.
-2, 0
Let z be (15/2)/(850/40). Determine u, given that -z + 4/17*u**2 - 2/17*u = 0.
-1, 3/2
Let q(u) = 6*u**2 + 7*u - 6. Let v(k) = -20*k**2 - 22*k + 15. Let h(b) = -14*q(b) - 4*v(b). Factor h(y).
-2*(y + 4)*(2*y - 3)
Suppose -20 = -2*c + 5*a, -3 = -2*c + 3*a + 9. Let y be (-35)/(-12) + 5/(-20). Determine t so that 2/3*t**2 - y + c*t = 0.
-2, 2
Suppose 2 + 12 = 7*h. Factor -4 - 1 + 3*k**2 - k**h + 9 - 6*k.
2*(k - 2)*(k - 1)
Let w be ((178 - 181) + 38/24*2)*2. Find m, given that -m - 2/3 - w*m**2 = 0.
-2, -1
Suppose 2*k + v = k + 20, -16 = -2*k + 4*v. Suppose -2*z + 3*j = j - 8, 0 = -4*z + 2*j + k. What is o in 2*o**4 - 1 + 2*o**2 - 2*o - 3*o**z + 2*o = 0?
-1, 1
Let f(o) be the second derivative of 3*o**5/100 - 3*o**4 + 120*o**3 - 2400*o**2 + 4*o - 1. Factor f(l).
3*(l - 20)**3/5
Let z(c) be the first derivative of -5*c**4/4 + 112*c**3/3 - 122*c**2 + 80*c + 548. Factor z(r).
-(r - 20)*(r - 2)*(5*r - 2)
Let l = 5 + 0. Let -d + 5 - 5 - 2 - l*d**2 + 8*d = 0. Calculate d.
2/5, 1
Let b(k) be the first derivative of 0*k - 1/4*k**5 - 9/16*k**4 - 7/12*k**3 - 1/4*k**2 - 1/24*k**6 - 1. Find d, given that b(d) = 0.
-2, -1, 0
Suppose 34*y + 25*y = -24*y + 59*y. Factor y - 1/2*r - 1/2*r**3 + r**2.
-r*(r - 1)**2/2
Let h(q) be the second derivative of -1/5*q**6 + 3/2*q**4 + 2*q**2 + 2*q - 3*q**3 + 1/10*q**5 + 5. Find g, given that h(g) = 0.
-2, 1/3, 1
Suppose -18 = -2*u + 2*p, 3*p - 8 + 11 = -3*u. Let t(n) be the second derivative of 0 - 1/42*n**u + 1/210*n**6 + 0*n**3 + 1/14*n**2 + 0*n**5 - 2*n. Factor t(v).
(v - 1)**2*(v + 1)**2/7
Let k(u) be the second derivative of -u**6/135 + 4*u**5/45 - 5*u**4/54 - 14*u**3/27 + 694*u. Factor k(g).
-2*g*(g - 7)*(g - 2)*(g + 1)/9
Determine g so that -12*g**2 + 30*g**2 + 144*g - 147*g = 0.
0, 1/6
Let c = 1132 + -1129. Suppose 2 - 1/2*b**2 + 3*b + 1/4*b**5 - 7/4*b**c + 0*b**4 = 0. What is b?
-2, -1, 2
Let u(k) be the second derivative of k**6/60 - k**4/8 - k**3/6 + 73*k. Factor u(p).
p*(p - 2)*(p + 1)**2/2
Let f(m) be the second derivative of -14/9*m**3 + 49/3*m**2 + 6*m + 1/18*m**4 + 0. Let f(v) = 0. Calculate v.
7
Let m(y) = -7*y**2 + 4*y + 30. Let j(u) = -20*u**2 + 12*u + 90. Let g(p) = 5*j(p) - 14*m(p). Factor g(w).
-2*(w - 5)*(w + 3)
Let h(k) be the second derivative of -1/50*k**5 + 0 - 7/3*k**3 + 13/30*k**4 - 49/5*k**2 - 15*k. Suppose h(p) = 0. What is p?
-1, 7
Let x(p) = -p**3 + 7*p**2 + 10*p - 4. Let w be x(8). Let q be ((-4)/(-18))/(w/18). Factor q*g**2 + 1 + 4/3*g.
(g + 1)*(g + 3)/3
Let j(a) be the third derivative of -a**10/30240 - a**9/4032 - a**8/2016 + a**5/30 - 23*a**2. Let k(p) be the third derivative of j(p). Let k(z) = 0. What is z?
-2, -1, 0
Let o = 70 - 59. Factor 6 + 35*q - 3*q**2 - o*q - 9*q - 12*q.
-3*(q - 2)*(q + 1)
Suppose -7 = -p - 4. Let f = 49 + -46. Let -4*u**5 + u**4 - u**3 + 7*u**4 + 0*u**4 - f*u**p = 0. Calculate u.
0, 1
Let v(r) = -r**2. Let w(m) be the third derivative of m**5/6 - m**4/12 + 2*m**3/3 - 26*m**2. Let s(l) = 12*v(l) + w(l). Factor s(p).
-2*(p - 1)*(p + 2)
Let s be (197/(-2) + -5)*(0 + 2). Let h = -82 - s. Let 275/2*t**3 + 17/2*t + 105/2*t**2 + 1/2 + h*t**4 = 0. Calculate t.
-1/2, -1/5
Let u(o) be the third derivative of o**7/35 - o**6/15 - o**5/30 + o**4/6 - 40*o**2. Let u(y) = 0. Calculate y.
-2/3, 0, 1
Let n(h) be the third derivative of 0 + 1/45*h**5 + 0*h + 25*h**2 - 1/6*h**4 + 0*h**3. Let n(k) = 0. Calculate k.
0, 3
Let q(n) be the first derivative of 10*n**3/39 - 2*n**2/13 - 6*n/13 + 79. Find v such that q(v) = 0.
-3/5, 1
Let h(z) be the third derivative of -1/525*z**7 + 0 + 0*z**5 + 0*z**3 + 37*z**2 + 0*z + 1/100*z**6 + 0*z**4. Factor h(w).
-2*w**3*(w - 3)/5
Suppose 25/3*l + 2 + 4/3*l**2 = 0. Calculate l.
-6, -1/4
Determine h so that 1152/5 - 96/5*h + 2/5*h**2 = 0.
24
Let a = 15 + -13. Suppose 0 = 4*l + 2*s - 8, -l - a*s + 2 = -7*s. Determine f so that -2*f**l - 2 + f**2 - 2 + 3 + 2*f = 0.
1
Suppose 0 = -4*x - 5*g + 25, -3*g + 0 - 7 = -2*x. Let 20 - x*i**2 + 5*i**3 - 21*i - 5 + 45 - 19*i = 0. Calculate i.
-3, 2
Let p(g) = 2*g**4 + 23*g**3 + 8*g**2 - 23*g. Let q(r) = -3*r**4 - 24*r**3 - 9*r**2 + 24*r. Let n(i) = -6*p(i) - 5*q(i). Factor n(v).
3*v*(v - 6)*(v - 1)*(v + 1)
Suppose -3*u - 48 = -9*u. Factor 6*p**2 - 55 + 55 + 2*p**4 - u*p**3.
2*p**2*(p - 3)*(p - 1)
Let k be ((-18)/(-30))/((-2)/(-10)). Let o(w) be the first derivative of 0*w**2 + 4/3*w**k + 0*w + w**4 - 12. Let o(j) = 0. What is j?
-1, 0
Let s(c) = -157*c + 1258. Let r be s(8). Factor 2/7*y**r + 0*y + 0.
2*y**2/7
Let d(u) be the second derivative of -u**6/80 - 63*u**5/40 - 1131*u**4/16 - 4205*u**3/4 + 219501*u**2/16 + 168*u - 2. Factor d(o).
-3*(o - 3)*(o + 29)**3/8
Let x(k) be the second derivative of k**6/105 - k**5/35 - 4*k**4/21 - 174*k - 2. Find f such that x(f) = 0.
-2, 0, 4
Let -1/5 + 1/5*s**2 - 1/10*s + 1/10*s**3 = 0. Calculate s.
-2, -1, 1
Let y(b) = -b**3 + 14*b**2 - 22*b + 119. Let t be y(13). Suppose 1/3*s**t - 5/3*s + 4/3 = 0. Calculate s.
1, 4
Let y be 454/3 + (-2 - (-16)/6). Let x = y - 150. Find v, given that -9/2*v + 27/4 + 3/4*v**x = 0.
3
Let c(d) be the third derivative of -5*d**8/112 - 3*d**7/10 - 17*d**6/20 - 13*d**5/10 - 9*d**4/8 - d**3/2 + 6*d**2 - 12*d. Factor c(r).
-3*(r + 1)**4*(5*r + 1)
Factor 12*p - p**3 + 11*p - 2 + 6*p + 10*p - 36*p.
-(p - 1)**2*(p + 2)
Let g = -10 + 14. Find i, given that i**4 + 0*i**g + 2*i**4 - 3*i**2 = 0.
-1, 0, 1
Factor 0*b**2 + 0*b + 0 - 1/3*b**5 + 1/3*b**3 + 0*b**4.
-b**3*(b - 1)*(b + 1)/3
Let d(p) = -7*p**2 - 30*p + 196. Let n(m) = -32*m**2 - 121*m + 784. Let q(a) = 18*d(a) - 4*n(a). Find f, given that q(f) = 0.
14
Let j = 11104/18515 + 1/3703. Let u be -1 - -1 - (-4)/5. Determine n, given that u*n**3 - 4/5 + 1/5*n**4 + j*n**2 - 4/5*n = 0.
-2, -1, 1
Let t(u) = -7*u - 36. Let j be t(-6). Factor -j*a + 26*a**4 + 18*a**4 + a + 5*a**3 + 5*a**2 - 49*a**4.
-5*a*(a - 1)**2*(a + 1)
Let g = 69 - 63. Let j(a) be the first derivative of 2/15*a**5 - 4/9*a**3 - 4 + 1/9*a**g + 2/3*a + 1/3*a**2 - 1/3*a**4. Factor j(s).
2*(s - 1)**2*(s + 1)**3/3
Suppose 3*h - 36 = -h. Suppose 5 = 2*d - h. Let -8*o - d*o**2 - 2 + 6*o - 7*o = 0. Calculate o.
-1, -2/7
Find g, given that 9/7*g**4 + 30/7*g**3 + 15/7 - 72/7*g**2 + 18/7*g = 0.
-5, -1/3, 1
Let h(a) = a**3 - 15*a**2 + 59*a - 19. Let q be h(7). Factor 8/7*z + 10/7 - 2/7*z**q.
-2*(z - 5)*(z + 1)/7
Let p(y) be the second derivative of y**7/42 + 23*y**6/30 + 163*y**5/20 + 361*y**4/12 + 160*y**3/3 + 50*y**2 + 108*y. Factor p(t).
(t + 1)**3*(t + 10)**2
Suppose -8*r = -1 - 15. Let -16*q**r - 9*q**3 + 24*q**3 + 15*q**4 + 21*q**2 + 2*q**5 + 3*q**5 = 0. Calculate q.
-1, 0
Let u(o) be the second derivative of o**7/2240 - o**6/320 + o**5/160 + 5*o**3/2 - 10*o. Let p(y) be the second derivative of u(y). Let p(s) = 0. What is s?
0, 1, 2
Suppose 0 = s - t + 1 - 6, 0 = -2*s + 3*t + 13. Let i(d) be the first derivative of 0*d + 14/15*d**3 + 4 + 2/5*d**s + 1/2*d**4. Factor i(n).
2*n*(n + 1)*(5*n + 2)/5
Let h(a) be the third derivative of -a**6/30 + 47*a**5/30 + 2*a**4 + 4*a**2 - 87. Find x such that h(x) = 0.
-1/2, 0, 24
Let c(x) be the second derivative of 0*x**3 + 0*x**4 + 1/60*x**6 + 0*x**2 - 9*x - 1/40*x**5 + 0. What is o in c(o) = 0?
0, 1
Let u be ((-39)/(-2))/(12/27 - (-346)/72). Let v = 1069 + -7465/7. Factor u*l - 48/7*l**2 - 4/7 + v*l**3.
2*(l - 2)*(3*l - 1)**2/7
Let v(m) be the third derivative of -5/24*m**4 - m**2 + 5/3*m**3 + 0*m - 1/12*m**5 + 0. Factor v(d).
-5*(d - 1)*(d + 2)
Let a be 4/1 - 12/3. Factor 13*k + 7*k - 18*k - 3*k**2 + k**3 + a*k**3.
k*(k - 2)*(k - 1)
Let g(m) be the first derivative of 3*m**4 - 20*m**3/3 - 68*m**2 + 96*m + 236. Let g(t) = 0. Calculate t.
-3, 2/3, 4
Factor 5*u**3 + 27*u**2 - 3*u + 15*u**2 - 15 - 27*u**2 - 2*u**3 + 0*u.
3*(u - 1)*(u + 1)*(u + 5)
Determine u so that 723*u**3 - 75*u**4 - 312 + 4230*u + 177*u**3 - 888 - 3423*u**2 = 0.
2/5, 8/5, 5
Solve 3*o + 13 + 2*o**2 - 1 + 13*o + 12 = 0 for o.
-6, -2
Let u