6*j + 21. Let o be r(3). Factor 0 + 5/4*a**3 - o*a**2 + a.
a*(a - 2)*(5*a - 2)/4
Suppose s = 4*s. Suppose h - 4*h = s. Determine z so that -2*z**3 + 2*z**3 + h*z**3 - 4*z**4 + 4*z**2 = 0.
-1, 0, 1
Let n(w) = -w**2 + 289*w + 9922. Let r be n(-31). Factor 0*q - 1/5*q**3 + 0 + 2/5*q**r.
-q**2*(q - 2)/5
Suppose 158/9*o**3 - 14/3*o**4 + 12 + 6*o + 4/9*o**5 - 26*o**2 = 0. Calculate o.
-1/2, 2, 3
Let k be (-6)/15*80/(-192). Let s(r) be the first derivative of -1/8*r**4 + 0*r**2 + 0*r - k*r**3 - 2. Suppose s(c) = 0. What is c?
-1, 0
Suppose 2 = v - 3, -2*x = v - 3. Let j be (-2 + x + 6)/1. Let 4*h**j + h + 4*h**2 + 2*h**2 + 2*h - h**3 = 0. Calculate h.
-1, 0
Suppose -1 = -2*d + 3*a - 9, 2*d - 16 = -3*a. Factor u**2 + 8*u - u**d + 2 + u**2 - 5*u.
(u + 1)*(u + 2)
Factor -2/5*i + 4/15*i**2 + 0 + 2/15*i**3.
2*i*(i - 1)*(i + 3)/15
Let a(o) = 11*o**3 + o**2 - 23*o + 11. Let j(r) = 9*r**3 + 2*r**2 - 21*r + 10. Let m(l) = -5*a(l) + 6*j(l). Factor m(f).
-(f - 5)*(f - 1)**2
Let d be (0/(-1 + -5))/((-2)/(-1)). Solve -1 + 6*w**2 - 4*w**2 + d - w**2 = 0 for w.
-1, 1
Let x be (9 - 5) + 141/2. Let f = 1643/22 - x. Factor 2/11*s - f*s**2 + 0.
-2*s*(s - 1)/11
Let h(j) be the third derivative of -7*j**2 + 0*j + 0 - 11/360*j**5 - 1/24*j**4 + 0*j**3 - 1/1260*j**7 - 1/120*j**6. Find a, given that h(a) = 0.
-3, -2, -1, 0
Let f(u) be the first derivative of u**8/1260 + 2*u**7/315 + u**6/54 + u**5/45 + 4*u**3/3 - 29. Let g(q) be the third derivative of f(q). Factor g(a).
4*a*(a + 1)**2*(a + 2)/3
Suppose 0 = -7*r + 2*r. Suppose -b = -r*b - 3. Factor 16 + 0 - 84*q**2 + 36*q**2 + 28*q**b - 28*q**2 + 32*q.
4*(q - 2)*(q - 1)*(7*q + 2)
Let p = 41 - 39. Let h be ((5/10)/1)/(6/24). Factor 3*w**h + p*w + 1/2*w**4 + 2*w**3 + 1/2.
(w + 1)**4/2
Let r(x) be the second derivative of 1/30*x**6 - 1/12*x**4 + 1/20*x**5 - 1/42*x**7 + 0*x**3 + 0 + 2*x + 0*x**2. Factor r(v).
-v**2*(v - 1)**2*(v + 1)
Let u be 255/(-612)*8/(-5). Let x(l) be the third derivative of 0*l + u*l**4 + 0 - 4*l**2 - 2*l**3 - 1/15*l**5. Factor x(b).
-4*(b - 3)*(b - 1)
Factor -2/5*v**3 + 8/5 + 4/5*v**2 + 14/5*v.
-2*(v - 4)*(v + 1)**2/5
Let r(o) be the third derivative of o**7/105 - 3*o**6/2 + 322*o**5/5 + 1058*o**4/3 - 158*o**2. Let r(m) = 0. What is m?
-2, 0, 46
Let y(t) be the first derivative of -t**6/72 + 15*t**4/8 + 23*t**3/3 + 8. Let j(h) be the third derivative of y(h). What is m in j(m) = 0?
-3, 3
Let r be 12/(-38)*(466 + -485). Factor -r*g - 3/2*g**4 - 1/2*g**3 + 11/2*g**2 + 1/2*g**5 + 2.
(g - 2)*(g - 1)**3*(g + 2)/2
Let g(h) be the first derivative of h**6/2 - 6*h**5/5 - 9*h**4 + 38*h**3 - 111*h**2/2 + 36*h - 792. Factor g(m).
3*(m - 3)*(m - 1)**3*(m + 4)
Let g = -40 - -45. Suppose -v = -4, -3*n + 0*n + 29 = g*v. Let 1/3*u**4 + 0*u**n + 0 + 0*u - 1/3*u**2 = 0. Calculate u.
-1, 0, 1
Let t = 29 + -22. Let a be 8/(-28) + 2/t + 2. Suppose -4/5 + 7/5*x**a - 12/5*x = 0. What is x?
-2/7, 2
Let -7*c**2 - 5/4*c**4 + 5*c + 0 - 53/4*c**3 = 0. What is c?
-10, -1, 0, 2/5
Factor 2*n**4 - 5*n**4 - 41*n**2 + 47*n**2 - 3.
-3*(n - 1)**2*(n + 1)**2
Suppose 0 = 6*j + 5*j - 33. Factor -1/9*h**j + 0*h + 0*h**2 + 0.
-h**3/9
Let b = -1201 - -3604/3. Let i(u) be the second derivative of 0 - 1/5*u**5 + 2/15*u**6 + 2/3*u**3 + 0*u**2 - 3*u - b*u**4. Factor i(f).
4*f*(f - 1)**2*(f + 1)
Factor -9*h**3 + 2*h**3 + 20*h**2 - 5*h**4 - 6*h**3 + 80*h - 7*h**3.
-5*h*(h - 2)*(h + 2)*(h + 4)
Let p(f) = f**2 + 4*f - 24. Let m be p(-7). Let z be 4/(-6)*6/(1 + m). Factor 189/2*j**3 - 3 + 27*j - 327/4*j**z - 147/4*j**4.
-3*(j - 1)**2*(7*j - 2)**2/4
Let f(k) be the first derivative of 8/7*k + 2/21*k**3 + 5/7*k**2 + 28. Factor f(s).
2*(s + 1)*(s + 4)/7
Let u(k) be the third derivative of -k**8/224 + 3*k**7/280 + k**6/160 - 3*k**5/80 + k**4/32 - 42*k**2. Suppose u(d) = 0. Calculate d.
-1, 0, 1/2, 1
Let x = -463 - -927/2. Factor -x*i**2 - 1/2*i + 3.
-(i - 2)*(i + 3)/2
Suppose z = -6*z - 112. Let s = z - -19. Find i such that 7*i**2 - 12*i**s + 0*i**5 - 3*i**2 - 4*i**4 + 12*i**5 = 0.
-1, 0, 1/3, 1
Let j(p) be the first derivative of p**7/735 + p**6/210 + p**2 - 9. Let h(k) be the second derivative of j(k). Find y such that h(y) = 0.
-2, 0
Let h(b) be the first derivative of -b - 3/10*b**2 + 1 - 1/20*b**4 - 1/5*b**3. Let l(v) be the first derivative of h(v). Factor l(u).
-3*(u + 1)**2/5
Let q(a) = -210*a**4 + 458*a**3 - 269*a**2 + 16*a + 5. Let t(s) = 2*s**3 - s**2 - 1. Let z(u) = -2*q(u) + 6*t(u). Let z(m) = 0. Calculate m.
-2/15, 2/7, 1
Factor -5*y**3 + 0*y**3 + 4*y + 1121*y**4 + y**3 + 2*y**2 - 1123*y**4.
-2*y*(y - 1)*(y + 1)*(y + 2)
Let y = -4/19 + 39/95. Let d(r) be the first derivative of -6/25*r**5 + 4/15*r**3 - 3/5*r**2 + 2/5*r + 4 + 1/15*r**6 + y*r**4. Factor d(c).
2*(c - 1)**4*(c + 1)/5
Factor 6*k**3 - 85*k - 5*k**3 + 5 + 17*k**2 + 54*k - 2*k**3 + 10.
-(k - 15)*(k - 1)**2
Let y(t) = t**3 - t + 16 - t**2 - 4*t - 11*t. Let j(m) = 16*m - 16. Let z(q) = 3*j(q) + 4*y(q). Determine b so that z(b) = 0.
-2, 1, 2
Let r = -24 + 85. Let q = -3 - -8. Factor 6*p + 2*p**3 + r*p**q - 4*p - 3*p - 62*p**5.
-p*(p - 1)**2*(p + 1)**2
Let n(x) be the first derivative of x**3 + 33*x**2/2 + 54*x + 75. Solve n(z) = 0.
-9, -2
Let t(k) be the second derivative of 3*k**5/20 + 3*k**4/2 - 25*k**3/2 + 27*k**2 - 39*k + 1. Determine j, given that t(j) = 0.
-9, 1, 2
Let q(j) be the third derivative of j**7/1260 + j**6/90 + j**5/20 + 7*j**4/6 - 19*j**2. Let v(r) be the second derivative of q(r). Factor v(w).
2*(w + 1)*(w + 3)
Let n(k) = 6*k**3 - 19*k**2 - 62*k + 5. Let r(d) = -15*d**3 + 48*d**2 + 156*d - 12. Let s(f) = 12*n(f) + 5*r(f). Find i such that s(i) = 0.
-2, 0, 6
Suppose 4*i - 3*i = 24. Suppose 2*f + x - 28 = 0, 2*x = -0*f + f - i. Factor 21 + f - 33 + 32*s + 64*s**2.
4*(4*s + 1)**2
Suppose 0 = n + 5*p - 161, 0*n - 3*n + 2*p = -466. Let c = n - 156. Factor 0 - 3/4*i**5 + c*i**2 + 0*i + 3/4*i**4 + 0*i**3.
-3*i**4*(i - 1)/4
Factor -26*v**3 + 588*v - 18*v**3 - 116*v**2 - 828 - 29*v**3 + 77*v**3.
4*(v - 23)*(v - 3)**2
Let s(b) = 27*b**3 - 33*b**2 - 36*b + 6. Let o(m) = -50*m**3 + 66*m**2 + 72*m - 11. Let i(f) = 6*o(f) + 11*s(f). What is h in i(h) = 0?
-1, 0, 12
Factor -54*q**4 + 4*q**4 - 45*q**3 + 8*q**4 - 3*q**2.
-3*q**2*(q + 1)*(14*q + 1)
Let b(j) be the first derivative of -2/27*j**3 - 1/36*j**4 + 0*j**2 + 0*j + 1/45*j**5 - 22. Find n such that b(n) = 0.
-1, 0, 2
Let x(a) be the third derivative of -a**8/47040 + a**7/5880 + a**5/20 + a**2. Let v(l) be the third derivative of x(l). Suppose v(z) = 0. Calculate z.
0, 2
Let p(l) be the third derivative of l**5/120 + 7*l**4/48 + 5*l**3/6 - 4*l**2 + 21. Factor p(j).
(j + 2)*(j + 5)/2
Let r(h) = -13*h**3 - 19*h**2 + 27*h + 1. Let v(z) = 12*z**3 + 18*z**2 - 28*z - 2. Let w be (-14 - 1)*(0 + (-3)/9). Let p(g) = w*v(g) + 6*r(g). Factor p(f).
-2*(f + 2)*(3*f - 1)**2
Let x(m) be the second derivative of -m**7/14 + m**6/5 + 9*m**5/5 + 7*m**4/2 + 5*m**3/2 + 212*m. What is p in x(p) = 0?
-1, 0, 5
Let k = -1/560 + 2017/560. Let k*z**3 + 3/5*z + 12/5*z**2 + 3/5*z**5 + 0 + 12/5*z**4 = 0. Calculate z.
-1, 0
Factor 8/5 - 12/5*g + 4/5*g**2.
4*(g - 2)*(g - 1)/5
Let d(n) = -n**3 + 32*n**2 - 23*n - 203. Let t(y) = y**3 - y - 1. Let l(b) = d(b) - 3*t(b). What is i in l(i) = 0?
-2, 5
Let i(v) be the second derivative of -5*v**7/42 - v**6/3 + v**5/2 + 10*v**4/3 + 35*v**3/6 + 5*v**2 + 104*v. Factor i(u).
-5*(u - 2)*(u + 1)**4
Let d(n) be the first derivative of n**4 + 4/3*n**3 + 5 + 0*n + 0*n**2. Find r such that d(r) = 0.
-1, 0
Let f(j) = -2*j**3 - 94*j**2 - 4. Let l(p) = -6*p**3 - 279*p**2 - 11. Let z(a) = -11*f(a) + 4*l(a). Factor z(i).
-2*i**2*(i + 41)
Suppose 0 + 4/7*n - 1/7*n**2 = 0. What is n?
0, 4
Let f(o) be the third derivative of -o**7/21420 + o**6/1530 - o**5/255 + 5*o**4/12 + 6*o**2. Let r(g) be the second derivative of f(g). Solve r(q) = 0.
2
Let f = 5230 + -5228. Solve 2/3*c**f - 2/3*c**3 + 0 + 0*c = 0 for c.
0, 1
Let c(r) be the second derivative of 3*r**3 - 33/40*r**5 + 0 - 3/10*r**6 + 9*r - 1/4*r**4 + 6*r**2 - 1/28*r**7. Solve c(o) = 0.
-2, -1, 1
Let a be (-130 + 121)/((-6)/4). Let x(g) be the first derivative of 12*g**2 - 3*g**5 - 1/2*g**a + g**3 + 12*g - 21/4*g**4 - 1. Find v, given that x(v) = 0.
-2, -1, 1
Suppose 78*s**2 + 175*s - 163*s**2 + 88*s**2 + 2*s = 0. What is s?
-59, 0
Let z(g) = 3*g**2 + 5*g. Let q(i) = 3*i**2 + 3*i. 