t + 10, 5*a - 4 = -2*t + 10. Factor 4*l + i*l + l + 2*l**a - l.
2*l*(l + 3)
Let s(i) be the first derivative of i**3/15 - 89*i**2/10 - 18*i - 700. Factor s(p).
(p - 90)*(p + 1)/5
Suppose 3*k - 6 = -0*k - 5*v, 5*k + 4*v - 10 = 0. Let x(s) = s**2 + 1. Let z(c) = 7*c**2 - 4*c + 10. Let i(l) = k*z(l) - 22*x(l). Factor i(y).
-2*(2*y + 1)**2
Let t(m) be the second derivative of -m**5/100 - 3*m**4/40 - m**3/5 - 11*m**2/2 + 7*m. Let h(z) be the first derivative of t(z). Solve h(j) = 0 for j.
-2, -1
Let c be 7 + 1 + -1 - 0 - 7. Let n(s) be the first derivative of 0*s - 3*s**4 + c*s**3 - 4/5*s**5 + 8*s**2 - 1. Factor n(d).
-4*d*(d - 1)*(d + 2)**2
Let t = -24 + 26. Let k(c) be the first derivative of 3 + 2*c**t + c**2 - c**3 - 5. What is h in k(h) = 0?
0, 2
Let q = 25 - 23. Factor 11*t**2 - t**4 - q*t**3 - 12*t**2 - 1 + 1.
-t**2*(t + 1)**2
Let f = -33 - -31. Let v be 5/(-10)*-8 + f. Solve -27/5 - 18/5*w - 3/5*w**v = 0 for w.
-3
Let t(b) be the second derivative of b**6/60 + 9*b**5/20 + 61*b**4/24 - 15*b**3 + 25*b**2 + 3*b - 1. Suppose t(q) = 0. What is q?
-10, 1
Factor 0 + 0*s**2 + 3/4*s**4 + 3/4*s**3 + 0*s.
3*s**3*(s + 1)/4
Let t = 10 - 17. Let u be (-3)/6 + (t/(-2) - 3). Factor -1/3*s**3 - 1/3*s**4 + 1/3*s**2 + 1/3*s + u.
-s*(s - 1)*(s + 1)**2/3
Let u(d) = -4*d**3 + d**2 + 2*d - 5. Let q be u(-5). Factor 510*l - q*l - 3*l**2 - 3*l**4 - 6*l**3.
-3*l**2*(l + 1)**2
Let c = -44 - -40. Let k be c*(-4)/(3 - -1). Factor 2/5*q**5 - 6/5*q**k - 2/5*q**2 + 0 + 6/5*q**3 + 0*q.
2*q**2*(q - 1)**3/5
Let m(y) = 190*y**3 - 350*y - 215. Let a(c) = c + 8 + 133*c**3 + 12*c - 140*c**3. Let j(w) = 55*a(w) + 2*m(w). Find n, given that j(n) = 0.
-1, 2
Let l(f) = f + 9. Let c be l(-5). Suppose -m + 15 = c*m. Let 0*i - 20*i**3 - m*i - 18*i**2 - i + 0*i**4 - 6*i**4 = 0. What is i?
-2, -1, -1/3, 0
Let f(g) be the second derivative of -g**6/180 - 4*g**5/15 - 16*g**4/3 + 13*g**3/6 - 25*g. Let t(w) be the second derivative of f(w). Solve t(z) = 0.
-8
Let w(i) be the third derivative of 2/39*i**3 - 2/273*i**7 + 0 - 1/78*i**6 + 0*i - 6*i**2 + 5/156*i**4 - 1/728*i**8 + 0*i**5. Factor w(y).
-2*(y + 1)**4*(3*y - 2)/13
Let q(d) = 3*d**3 - 13*d**2 + 46*d - 38. Let g(a) = 7*a**3 - 26*a**2 + 91*a - 77. Let x(v) = -2*g(v) + 5*q(v). Factor x(l).
(l - 6)**2*(l - 1)
Let j(o) = -3*o + 3. Let r(n) be the second derivative of n**6/30 + n**5/20 - n**4/12 - n**3/2 + n**2 + 22*n. Let l(w) = -2*j(w) + 3*r(w). Factor l(a).
3*a*(a - 1)*(a + 1)**2
Let o(g) = -g**3 + 3*g**2 - 2*g + 3. Let x be o(2). Factor 8*j**3 - 11*j**3 - 3*j - 9*j**2 - x*j.
-3*j*(j + 1)*(j + 2)
Let i = -1555 + 13997/9. Factor -i*l**2 - 8/9 + 8/9*l.
-2*(l - 2)**2/9
Let z(t) be the third derivative of t**6/30 - 46*t**5/15 + 89*t**4/6 - 88*t**3/3 + 48*t**2 + 3*t. Factor z(r).
4*(r - 44)*(r - 1)**2
Let m(k) be the first derivative of -k**4/26 - 2*k**3/39 + 5*k**2/13 - 6*k/13 + 147. Factor m(o).
-2*(o - 1)**2*(o + 3)/13
Let z be 1/63*3/4. Let p(c) be the second derivative of z*c**4 + 0*c**2 + 3*c + 0 - 1/140*c**5 + 1/21*c**3. Factor p(j).
-j*(j - 2)*(j + 1)/7
Let w(g) = -g - 13. Let n be w(-5). Let q be n/(-6)*(-7)/((-686)/21). Factor -2/7*t**2 - 2/7*t + 0 + q*t**3 + 2/7*t**4.
2*t*(t - 1)*(t + 1)**2/7
Let u(o) = -124*o + 620. Let z be u(5). Factor z*k - 2/9*k**2 + 2/9.
-2*(k - 1)*(k + 1)/9
Let x(n) be the third derivative of -n**8/784 - 3*n**7/245 - n**6/20 - 4*n**5/35 - 9*n**4/56 - n**3/7 + 409*n**2. Factor x(q).
-3*(q + 1)**4*(q + 2)/7
What is w in -28*w**3 + 32*w**2 + 64*w + w**4 + 5*w**4 - 2*w**4 = 0?
-1, 0, 4
Let 2*v + 18/5*v**2 + 6/5*v**3 + 0 - 2/5*v**4 = 0. What is v?
-1, 0, 5
Let a(x) = -5*x**3 - 5*x**2 - 4*x + 4. Let h(b) = -b**3 - b**2 - b + 1. Let w(v) = -a(v) + 4*h(v). Factor w(k).
k**2*(k + 1)
Let t(s) be the first derivative of -3*s**5/10 - s**4/6 + 8*s**3/3 - 4*s**2 - 12*s + 3. Let r(v) be the first derivative of t(v). Factor r(f).
-2*(f - 1)*(f + 2)*(3*f - 2)
Let r(f) = -f**3 - f**2 - f. Let a(d) = 10*d**3 - 22*d**2 + 66*d - 36. Let g(l) = -a(l) - 6*r(l). Factor g(i).
-4*(i - 3)**2*(i - 1)
Factor -5417 - 5*o**4 + 5399 - 57*o + 12*o**2 - 77*o**2 - 31*o**3.
-(o + 1)**2*(o + 3)*(5*o + 6)
Let l = 10/8029 - -553411/473711. Let c = l - -2427/649. Factor 54/11*t + 2/11*t**3 + 18/11*t**2 + c.
2*(t + 3)**3/11
Let m be (-9)/(-21) - 21/49. Let a(v) be the third derivative of 0*v**6 + 1/280*v**7 + m*v**4 - 8*v**2 + 0*v + 0*v**5 + 0 + 0*v**3. Let a(u) = 0. What is u?
0
Factor 0 + 2*k + 2/3*k**3 + 8/3*k**2.
2*k*(k + 1)*(k + 3)/3
Factor -358*r**3 + 231*r + 719*r**3 + 114 - 358*r**3 + 120*r**2.
3*(r + 1)**2*(r + 38)
Let j(x) be the third derivative of -x**6/180 - x**5/90 + 2*x**4/9 + 4*x**3/3 + 123*x**2. Factor j(t).
-2*(t - 3)*(t + 2)**2/3
Let c be -10*2/(0 - -2). Let l(m) = -m**3 - 9*m**2 + 11*m + 10. Let k be l(c). Let 2/3*b + 2/3*b**2 + k = 0. What is b?
-1, 0
Let f(b) = -2*b + 7*b**2 - 1 - 6 + b + b**3. Let c(j) = -4*j**3 - 29*j**2 + 4*j + 29. Let i(s) = -2*c(s) - 9*f(s). Factor i(n).
-(n - 1)*(n + 1)*(n + 5)
Let 128/7*u + 10/7*u**3 + 40/7 + 74/7*u**2 = 0. What is u?
-5, -2, -2/5
Let g(l) be the third derivative of -l**5/140 - 3*l**4/28 - 293*l**2. Determine w so that g(w) = 0.
-6, 0
Let t(g) = 3*g - 4*g - 3 + 4. Let m(q) = -2*q**2 - 12*q + 14. Let z(i) = 2*m(i) - 12*t(i). Solve z(a) = 0 for a.
-4, 1
Let o be 4/(-10) + (-22)/(-5). Let b be 0 + 6 + 12/(-8)*2. Factor 0*d**3 + 3*d**o - 2*d**3 + 2*d**3 - b*d**3.
3*d**3*(d - 1)
Let x = -17 + 34. Let m = 19 - x. Factor -2*d**4 + 2*d + d**3 + 3*d**3 - 5*d**m + d**4.
-d*(d - 2)*(d - 1)**2
Let f(d) be the second derivative of d**4/36 - 89*d**3/9 + 7921*d**2/6 - d - 332. Let f(z) = 0. Calculate z.
89
Let s(r) be the second derivative of r**4/3 + 172*r**3 + 33282*r**2 - 16*r + 2. Solve s(b) = 0.
-129
Let a(n) be the first derivative of 3*n**4/4 - 8*n**3 - 27*n**2/2 - 135. Suppose a(p) = 0. Calculate p.
-1, 0, 9
Factor 144/7 + 4*v**2 - 2/7*v**3 - 120/7*v.
-2*(v - 6)**2*(v - 2)/7
Suppose 2*t + 7 - 1 = 0. Let g be (t/2)/((-6)/8). Suppose 0*v**g + 0*v + 4*v**3 + 2*v - 2*v**2 - 6*v**3 + 2*v**4 = 0. Calculate v.
-1, 0, 1
Let a(m) be the third derivative of -m**8/784 + 2*m**7/245 + m**6/280 - 4*m**5/35 + 3*m**4/14 - 456*m**2. Determine h so that a(h) = 0.
-2, 0, 1, 2, 3
Factor 0 + 1/6*t**3 + 1/6*t**5 + 0*t - 1/3*t**4 + 0*t**2.
t**3*(t - 1)**2/6
Let n be 11/(-132)*15*-4 + 96/(-21). Determine y, given that n*y**3 + 3*y + 15/7*y**2 + 9/7 = 0.
-3, -1
Let t(g) be the third derivative of g**8/336 - g**6/40 + g**5/30 + 158*g**2 - 2. Let t(a) = 0. What is a?
-2, 0, 1
Let l(o) be the first derivative of 7*o**6/2 - 48*o**5/5 + 33*o**4/4 - 2*o**3 - 244. Determine p, given that l(p) = 0.
0, 2/7, 1
Factor 136/21 + 24/7*j + 2/21*j**2.
2*(j + 2)*(j + 34)/21
Let x(s) = -s**2 - 9*s + 7. Suppose -7 = 4*a + 1. Let u(l) = 8*l - 6. Let t = 0 + -3. Let g(z) = a*x(z) + t*u(z). Solve g(d) = 0.
1, 2
Let r(j) be the first derivative of -j**4/4 + 40*j**3 - 2400*j**2 + 64000*j + 84. Factor r(y).
-(y - 40)**3
Determine f so that 1/5*f**2 + 0 - 9/5*f = 0.
0, 9
Let u = 26 - 22. Suppose 0 = 4*q - d - 10, 0 = u*q - 0*q - 5*d - 2. Factor 4/3*a + 0 + 4/3*a**2 + 1/3*a**q.
a*(a + 2)**2/3
Let g be 6/(-4)*(-40)/15. Suppose -g*j + 15 = j. Determine q, given that 0*q**3 - 8*q - 3*q**2 + 2 + 15*q**2 - 8*q**j + 2*q**4 = 0.
1
Let c(q) = -2*q + 16. Let h be c(7). Suppose 0 = 7*z - 12 - h. Find m, given that -3/7 - 4/7*m - 1/7*m**z = 0.
-3, -1
Suppose -2*o - 2381 + 2389 = 0. Let h(n) be the third derivative of 4*n**2 + 1/300*n**5 + 0 + 0*n - 1/120*n**o + 0*n**3. Suppose h(l) = 0. What is l?
0, 1
Let i(r) = -28*r - 82. Let w = -37 + 34. Let l be i(w). Factor 0 + 4/5*k - 4/5*k**3 + 0*k**l.
-4*k*(k - 1)*(k + 1)/5
Let s be (-1995)/6930 + 1/3. Let h(k) be the first derivative of -1/11*k**2 - 2/11*k - 10 + 2/33*k**3 + s*k**4. Factor h(n).
2*(n - 1)*(n + 1)**2/11
Let n(i) be the second derivative of i**5/10 + 23*i**4/3 + 529*i**3/3 - 53*i - 1. Factor n(h).
2*h*(h + 23)**2
Factor 3 - 3/2*k - 3*k**2 + 3/2*k**3.
3*(k - 2)*(k - 1)*(k + 1)/2
Let v(f) be the first derivative of -f**8/140 + 8*f**7/525 - f**6/150 + 13*f**2/2 - 4. Let a(z) be the second derivative of v(z). Factor a(q).
-4*q**3*(q - 1)*(3*q - 1)/5
Suppose -4*d + f = -16, -2*f = -3*d - 148 + 165. Factor -g + 1/2*g**d - 1/2*g**2 + 0.
g*(g - 2)*(g + 1)/2
Let q(i) be the first derivative of -448/3