tor 0 - 2/3*t - 1/3*t**f.
-t*(t + 2)/3
Let x(h) = 12*h**2 - 455*h - 38. Let p be x(38). Find r, given that 0 + p*r + 1/5*r**3 + 1/5*r**2 = 0.
-1, 0
Let o(p) be the first derivative of -p**3/12 + 9*p**2/8 - 7*p/2 - 68. Suppose o(z) = 0. What is z?
2, 7
Let j be (-18)/(-81) - (-4)/(-45). Let b(k) be the first derivative of 2/9*k**3 + 0*k + 5 + 0*k**2 - j*k**5 + 0*k**4. Let b(s) = 0. What is s?
-1, 0, 1
Let s be (1 + -1)*5/20. Determine w so that -1/3*w**2 + 0 - 2*w**4 + s*w - 3/2*w**3 - 5/6*w**5 = 0.
-1, -2/5, 0
Suppose 37*r = 42*r - 15. Suppose -4*u = -8 - 12. Factor -112/11*x**4 + 32/11*x**u + 2*x + 146/11*x**r - 86/11*x**2 - 2/11.
2*(x - 1)**3*(4*x - 1)**2/11
Suppose -4*r = 4*j - 20, 1 - 19 = 2*j - 5*r. Let h(n) = 8 - j + 8*n**2 + 0 - 9*n. Let a(i) = i + 1. Let o(p) = 3*a(p) - h(p). Determine v so that o(v) = 0.
1/2, 1
Let d = 16 - 39. Let r = -19 - d. Find x, given that -x**4 - 3*x**3 + 4*x**4 - 3*x**2 + 3*x - x**r + x**4 = 0.
-1, 0, 1
Let j(n) be the first derivative of -n**7/2100 + n**6/1800 + n**5/300 - n**4/120 + 10*n**3/3 - 3. Let p(u) be the third derivative of j(u). Factor p(g).
-(g - 1)*(g + 1)*(2*g - 1)/5
Let x(l) = -l**2 - 5*l + 7. Let o be x(-6). Let m be (0 + -1)*(-3 + o). Let 3/2*t**m + 9/2 + 6*t = 0. What is t?
-3, -1
Factor -4/9*p**3 + 0 - 4*p**2 + 4*p + 4/9*p**4.
4*p*(p - 3)*(p - 1)*(p + 3)/9
Let g(u) = u - 3. Let d be g(6). Suppose 20*f**3 - 4*f**d - 24 + 13 - 25 - 4*f**4 + 8*f**2 - 48*f = 0. Calculate f.
-1, 3
Let d(u) be the third derivative of -u**8/3920 - u**7/5880 + 37*u**4/24 + 33*u**2. Let y(q) be the second derivative of d(q). Solve y(s) = 0.
-1/4, 0
Factor -1/3*w + 2/3*w**2 - 2/3 + 1/3*w**3.
(w - 1)*(w + 1)*(w + 2)/3
Let i = -667 + 1335/2. Find u, given that -1/4*u**5 + i*u**3 + 1/2*u**2 - 1/4*u - 1/4*u**4 - 1/4 = 0.
-1, 1
Let r(b) = 6*b - 6 - 5 - 6 + 3 - 2*b**3 + 6*b**2. Let a be 2 - (4 - 1) - -5. Let c(j) = -2*j**3 + 7*j**2 + 5*j - 13. Let z(o) = a*c(o) - 6*r(o). Factor z(w).
4*(w - 2)**2*(w + 2)
Let x(a) be the first derivative of -9*a**3/5 - 111*a**2/5 - 48*a/5 + 5. Factor x(v).
-3*(v + 8)*(9*v + 2)/5
Let j(f) = f**3 + 4*f**2 + 9*f - 1. Let m be j(-6). Let k = m + 1153/9. Factor 2/9 - 10/9*x + k*x**4 - 20/9*x**3 - 2/9*x**5 + 20/9*x**2.
-2*(x - 1)**5/9
Let x = -1347/4 + 337. Let z(o) be the first derivative of -4 + 3/4*o**3 + x*o + 3/4*o**2 + 1/4*o**4. Factor z(c).
(c + 1)**2*(4*c + 1)/4
Suppose -5*o + 1 = -3*t, 5*t + 10*o = 12*o + 11. Factor -3/2*q**2 - 3/2*q**t + 0 + 3*q.
-3*q*(q - 1)*(q + 2)/2
Let m be 6/(-21) - (-46)/14. Let g(w) = w**3 + 2*w**2 - w. Let v be g(-2). Factor -v*x**2 - m*x - 2*x - 4 - x.
-2*(x + 1)*(x + 2)
Find p such that 6 - 6 - 40*p - 11*p**2 - 8 - 7*p**2 = 0.
-2, -2/9
Let f(i) be the second derivative of i**5/180 + i**4/36 + i**3/27 + 58*i. Suppose f(d) = 0. What is d?
-2, -1, 0
Let x = 3473 + -16987/5. Let a(f) = -f**3 + 59*f**2 - 113*f - 55. Let p be a(57). Find d, given that -36*d**p + 0 - 24/5*d - 147/5*d**4 - x*d**3 = 0.
-2, -2/7, 0
Suppose -f - 4*f + 8 = 2*c, 8 = 2*c + 3*f. Suppose -c*g - g = -15. What is j in -3*j**2 - 14*j**4 + 2*j**3 - 3*j**5 - 12*j**g + 5*j**4 + j**3 = 0?
-1, 0
Let q(g) be the second derivative of g**7/98 - 9*g**5/140 + g**4/14 - 6*g. Factor q(k).
3*k**2*(k - 1)**2*(k + 2)/7
Let n(u) = -57*u**5 + 72*u**3 - 48*u**2 + 33*u + 33. Let j = -24 - -28. Let r(q) = 7*q**5 - 9*q**3 + 6*q**2 - 4*q - 4. Let t(z) = j*n(z) + 33*r(z). Factor t(d).
3*d**2*(d - 1)**2*(d + 2)
Let o(w) be the second derivative of 5*w**7/42 - 2*w**6/3 - 27*w. Factor o(k).
5*k**4*(k - 4)
Suppose -9*h = -17*h + 64. Let r be ((-1)/(-2))/(10 - h). Solve 0*g + 3/4*g**2 - r*g**3 - 1 = 0 for g.
-1, 2
Suppose 46/5*f**2 + 208/5*f + 216/5 - 2/5*f**3 = 0. What is f?
-2, 27
Let q be (20 + -17)/((-1)/(-3)). Suppose -q*h + 27*h = 54. Let 4/13*c**2 + 2/13 + 6/13*c - 6/13*c**4 - 2/13*c**5 - 4/13*c**h = 0. Calculate c.
-1, 1
Let r(h) be the first derivative of -h**8/1008 + h**6/360 + 13*h**2/2 - 2. Let f(d) be the second derivative of r(d). Let f(u) = 0. Calculate u.
-1, 0, 1
Find a such that 3/7*a**4 + 3/7*a**3 - 12/7*a**2 - 12/7*a + 0 = 0.
-2, -1, 0, 2
Let q = 427/1245 - 4/415. Factor -2/3*b**3 + q*b + 0 + 1/3*b**2.
-b*(b - 1)*(2*b + 1)/3
Let w(k) be the second derivative of -6*k**2 + k**4 + 1/2*k**3 + 9*k - 3/20*k**5 + 3. Let w(t) = 0. What is t?
-1, 1, 4
Solve 2/13*h**3 + 34/13*h**2 - 76/13*h + 0 = 0 for h.
-19, 0, 2
Let x(o) be the third derivative of o**8/8400 - 2*o**7/1575 + o**6/225 + o**4/4 - 6*o**2. Let v(n) be the second derivative of x(n). Factor v(w).
4*w*(w - 2)**2/5
Factor -419 + 23*y**2 - 24*y**2 - 68*y + 380 - 710 - 407.
-(y + 34)**2
Factor -16/9*y**4 - 2/9*y**5 + 0 + 0*y + 0*y**2 - 14/9*y**3.
-2*y**3*(y + 1)*(y + 7)/9
Suppose 81 = -61*i + 88*i. Let x(g) be the first derivative of 0*g + i + 1/5*g**2 + 3/20*g**4 - 1/3*g**3. What is t in x(t) = 0?
0, 2/3, 1
Let u(p) = -3*p**3 - 2*p**2 + p. Let w(h) = 35*h**3 - 20*h**2 - 15*h + 40. Let s(x) = -10*u(x) - w(x). Factor s(q).
-5*(q - 8)*(q - 1)*(q + 1)
Let y be (((-405)/(-42))/9)/(27/132). Let o = y + -32/7. Solve 0 + 0*s + 2/3*s**4 - o*s**2 + 0*s**3 = 0.
-1, 0, 1
Let 6/11*f + 0 - 2/11*f**5 + 16/11*f**2 + 12/11*f**3 + 0*f**4 = 0. Calculate f.
-1, 0, 3
Let z(a) be the second derivative of 3/4*a**4 + 0 + 17*a - 5/3*a**3 + 1/60*a**6 - 7/40*a**5 + 2*a**2. Suppose z(r) = 0. What is r?
1, 2
Let q(j) be the second derivative of -j**8/2100 - j**7/525 + j**5/75 + j**4/30 + 5*j**3/6 + 10*j. Let p(y) be the second derivative of q(y). Factor p(o).
-4*(o - 1)*(o + 1)**3/5
Let m(p) be the third derivative of 0 + 4/3*p**3 - 1/30*p**5 - 34*p**2 + 1/4*p**4 + 0*p. Factor m(t).
-2*(t - 4)*(t + 1)
Solve -15928*t**2 - 47878*t**4 - 1712*t - 64 - 58788*t**3 - 4720*t**4 + 1736*t**3 - 9826*t**5 = 0.
-4, -1, -2/17
Let q = 81 + -76. Let o be (-1)/q*35/(-14). Solve 3/4*y**5 - o*y**2 + 3/4*y**3 + 0 + 2*y**4 + 0*y = 0.
-2, -1, 0, 1/3
Factor -4/15*k - 14/5*k**3 + 0 + 46/15*k**2.
-2*k*(k - 1)*(21*k - 2)/15
Let i(x) be the third derivative of -x**6/36 + 7*x**5/15 - 17*x**4/12 + 14*x**3/9 + 2*x**2 + 20. Determine f, given that i(f) = 0.
2/5, 1, 7
Factor 16*k**2 + 156/5*k + 12/5*k**3 + 72/5.
4*(k + 3)**2*(3*k + 2)/5
Suppose 11*a = 7*a - 56. Let f be ((-4)/a)/(424/371). Suppose 0*o - f*o**3 - 5/4*o**4 + 0 - 1/2*o**5 + 1/2*o**2 = 0. What is o?
-2, -1, 0, 1/2
Let g = 8077 - 8075. Determine j so that 0*j - 1/3*j**g + 0 - 1/2*j**3 - 1/6*j**4 = 0.
-2, -1, 0
Let x(b) be the third derivative of 0 - 32*b**2 + 0*b**4 + 0*b + 1/180*b**5 - 1/18*b**3. Factor x(o).
(o - 1)*(o + 1)/3
Let z = -7581/4 + 1896. Let q(g) be the first derivative of z*g**4 - 1/4*g**6 + 11 + 0*g**2 + 0*g**3 + 0*g - 3/10*g**5. Factor q(u).
-3*u**3*(u - 1)*(u + 2)/2
Suppose -d = 3*d - 2*p - 6, -3*p - 3 = -3*d. Determine s so that -20*s + s**3 - 12*s**2 - 6*s**4 + d*s**3 - 8 + 10*s**4 + s**3 = 0.
-1, 2
Suppose -76*x = -60*x. Determine h, given that 2/7*h**3 + 8/7 - 6/7*h**2 + x*h = 0.
-1, 2
Let j(w) be the first derivative of w**5/450 + w**4/36 - 2*w**3/15 + 3*w**2 - 22. Let k(d) be the second derivative of j(d). Factor k(x).
2*(x - 1)*(x + 6)/15
Let i be (780/(-110))/13 - ((-67)/22 - -1). Factor i*v**2 + 1/4*v**3 + 9/4*v + 0.
v*(v + 3)**2/4
Let t(w) be the second derivative of 50625*w**7/14 - 11475*w**6/2 - 3240*w**5 + 13920*w**4 - 13312*w**3 + 6144*w**2 - 353*w. Factor t(u).
3*(u + 1)*(15*u - 8)**4
Let n(i) be the first derivative of i**6/2 + 3*i**5/5 - 3*i**4/4 - i**3 + 79. Factor n(h).
3*h**2*(h - 1)*(h + 1)**2
What is a in 2085*a**2 - 2069*a**2 - 18 + 50 - 76*a + 56 = 0?
2, 11/4
Let j = -20307 - -60929/3. Factor -4/3*g - j*g**2 + 8/3 + 4/3*g**3.
4*(g - 2)*(g - 1)*(g + 1)/3
Let d(r) = -5*r**3 + 65*r**2 - 55*r. Let c(p) = 3*p**3 - 32*p**2 + 27*p. Let b(w) = -5*c(w) - 2*d(w). Solve b(u) = 0.
0, 1, 5
Let j(w) be the second derivative of 2*w**3/3 + 10*w**2 + 5*w - 3. Let d be j(-5). Find u such that 0 + d*u - 4/7*u**3 + 2/7*u**4 + 2/7*u**2 = 0.
0, 1
Let b be 5/(25/12) + (-14)/35. Let j be (-18)/(-28) + 2/4. Suppose -8/7 - 2/7*l**b - j*l = 0. What is l?
-2
Let p(g) be the second derivative of -1/35*g**7 + 0*g**3 + 0 + 0*g**2 + 35*g - 3/50*g**5 + 0*g**4 - 2/25*g**6. Factor p(m).
-6*m**3*(m + 1)**2/5
Let n(l) be the third derivative of l**6/240 + l**5/6 + 77*l**4/48 - 121*l**3/6 - 27*l**2 + 2*l. What is u in n(u) = 0?
-11, 2
Let h(b