*c**2 - b*c**4 + 0*c - 1/240*c**5 - 1/24*c**3 + 0. Solve y(r) = 0 for r.
-1
Factor 5*p**4 + 170*p - 1781 - 79*p**3 + 1781 + 345*p**2 + 259*p**3.
5*p*(p + 1)**2*(p + 34)
Let o(a) be the second derivative of 3*a**6/10 - 6*a**5/5 + 3*a**4/4 + a**3 - 3*a - 16. Let o(q) = 0. Calculate q.
-1/3, 0, 1, 2
Let t be -16 - (2 + -6 + -14). Factor -1/6*g**t - g - 4/3.
-(g + 2)*(g + 4)/6
Factor 632*p - 592*p + 12*p**2 - 42*p**2 + 11*p**3 - 6*p**3.
5*p*(p - 4)*(p - 2)
Suppose 0 = -2*z + 5*z + 36. Let h be 6/8 + (-87)/z. Solve h + 179*p**2 + 0 - 181*p**2 + 6*p = 0 for p.
-1, 4
Let w = 7609 + -7606. Find l such that 2/9*l**4 + 0*l + 4/9*l**2 + 0 - 2/3*l**w = 0.
0, 1, 2
Let l be (-9)/15 - 2220/(-3600). Let n(d) be the second derivative of l*d**6 + 0*d**3 + 0 - 1/60*d**5 - 1/8*d**4 + 1/3*d**2 - 6*d. Solve n(x) = 0 for x.
-1, 2/3, 2
Let x = 2461/14 - 351/2. Let g = 1852/7 - 264. Factor g*a**3 + 2/7 - x*a**4 - 4/7*a + 0*a**2.
-2*(a - 1)**3*(a + 1)/7
Factor 5*l**3 + 350*l - l**2 + 6*l**4 - 350*l.
l**2*(l + 1)*(6*l - 1)
Let c = -987 - -3987/4. Solve c*a + 15/4*a**2 - 9/2 = 0 for a.
-3, 2/5
Suppose 0 = 4*f + 4, 145 = -2*t - 3*f + 148. Factor 0*g**4 - 2/5*g - 2/5*g**5 + 0 + 4/5*g**t + 0*g**2.
-2*g*(g - 1)**2*(g + 1)**2/5
Let y(w) be the second derivative of -w**5/130 - 7*w**4/39 - 32*w**3/39 + 128*w**2/13 + 162*w. Solve y(l) = 0 for l.
-8, 2
Factor 0*k**3 - 239162*k**2 + 239257*k**2 + 350*k + 5*k**3.
5*k*(k + 5)*(k + 14)
Suppose -2*p**2 + 4*p**2 - 225*p + 222*p + 0*p**2 + p**3 = 0. Calculate p.
-3, 0, 1
Let g be ((-576)/(-81))/((-4)/(-6)). Let s(t) be the second derivative of -8*t + g*t**2 + 25/3*t**4 - 25/12*t**5 + 0 - 40/3*t**3. Determine r so that s(r) = 0.
4/5
Let w(h) be the first derivative of h**7/245 - h**6/210 - h**5/70 + h**4/42 - 17*h**2 - 5. Let m(c) be the second derivative of w(c). Find u such that m(u) = 0.
-1, 0, 2/3, 1
Let v(w) be the second derivative of 2/3*w**3 + 8*w + 0*w**2 - 1/6*w**4 + 0. Factor v(u).
-2*u*(u - 2)
Find t, given that -9/8*t**4 + 9/8 + 21/4*t + 3/4*t**3 + 6*t**2 = 0.
-1, -1/3, 3
Let -4/3*d**2 + 8/3*d + 4 = 0. What is d?
-1, 3
Let d(j) be the second derivative of 2*j**7/21 - 58*j**6/15 + 50*j**5 - 586*j**4/3 + 1066*j**3/3 - 338*j**2 + 42*j - 1. Factor d(o).
4*(o - 13)**2*(o - 1)**3
Let a(p) be the third derivative of p**6/540 + p**5/18 + 7*p**4/12 + 49*p**3/27 - 10*p**2 - 2. Factor a(c).
2*(c + 1)*(c + 7)**2/9
Let l be (-15 - -11)/((-2)/26). Suppose q - l = -25*q. Suppose 1/2*u + 1/4*u**q + 0 = 0. Calculate u.
-2, 0
Suppose -5*z + 9*f = 4*f + 80, 4*z = 5*f - 68. Let x be (8/2)/(-12)*(z - -10). Factor 2/3*n**3 + 2/3 - 2/3*n - x*n**2.
2*(n - 1)**2*(n + 1)/3
Let o(q) = -q**2 + q + 1. Let f(m) = -8*m**2 - 5*m - 4. Let x(p) = -2*f(p) + 14*o(p). Factor x(b).
2*(b + 1)*(b + 11)
Suppose -41*b = -263 + 58. Let a(w) be the third derivative of 0 + 0*w + 7*w**2 + 0*w**3 - 1/15*w**b + 1/20*w**6 + 0*w**4 - 1/105*w**7. Factor a(c).
-2*c**2*(c - 2)*(c - 1)
Let r be (3*1/(-4))/((-6)/16). Let o be 4 - 8/10 - r. Let 0 + 0*h**2 + 2/5*h - 4/5*h**4 - o*h**3 = 0. Calculate h.
-1, 0, 1/2
Let b(f) = -f**3 - f**2 - 2*f + 1. Let l(k) = 19*k**3 + 59*k**2 + 50*k + 7. Let w(g) = 2*b(g) + 2*l(g). Let w(x) = 0. What is x?
-2, -1, -2/9
Let c(l) be the first derivative of -5 + 7/3*l**3 + 1/3*l**4 - 1/10*l**5 + 14*l + 4*l**2. Let s(z) be the first derivative of c(z). Factor s(j).
-2*(j - 4)*(j + 1)**2
Let k(j) be the first derivative of 0*j**2 + 2/3*j**4 - 2 + 1/10*j**5 + 4/3*j**3 - j. Let p(q) be the first derivative of k(q). Let p(h) = 0. What is h?
-2, 0
Suppose 14*y = 12*y - 56. Let o be (-3)/(y/6*(-9)/(-12)). Factor -4/7*m + 2/7*m**2 - o.
2*(m - 3)*(m + 1)/7
Let b(k) be the third derivative of -k**5/120 - k**4/12 - k**3/4 + 59*k**2. Suppose b(c) = 0. What is c?
-3, -1
Suppose 5 = l + 2*t - 14, -3*t + 35 = 2*l. Suppose -18 = l*r - 22*r. Find z, given that 0 - 2*z**2 + 2/5*z - 2/5*z**3 + r*z**4 = 0.
-1, 0, 1/5, 1
Let f(l) be the first derivative of -12 + 3/8*l**4 + 0*l**2 - 1/10*l**5 + 0*l**3 + 0*l. Determine q so that f(q) = 0.
0, 3
Factor 722/7 + 2/7*d**2 - 76/7*d.
2*(d - 19)**2/7
Let n(g) be the first derivative of -8 - 3/2*g**2 + 0*g - 1/6*g**3. Factor n(k).
-k*(k + 6)/2
Suppose 5*t = 4*f + 20, -5 = 3*t + 5*f + 20. Factor -9/7*x - 12/7*x**2 - 3/7*x**3 + t.
-3*x*(x + 1)*(x + 3)/7
Let x(d) be the third derivative of d**6/1200 - d**4/60 - 184*d**2. Factor x(z).
z*(z - 2)*(z + 2)/10
Let d = 100 + -97. Let v be d + 0 + (4 - 5). Let 3/7 - 3/7*g**3 + 9/7*g**v - 9/7*g = 0. Calculate g.
1
Suppose -20*n + 21*n = q + 3, 0 = -2*n + 4*q + 6. Solve 8/5*p**2 - 8/5*p**n + 0 + 0*p + 2/5*p**5 - 2/5*p**4 = 0.
-2, 0, 1, 2
Let x = -1 + 1. Let n be -5*1/(-1 - x). Factor 2*r**5 - r**3 - r**n + 0*r**5.
r**3*(r - 1)*(r + 1)
Let j(w) be the third derivative of w**6/120 - 29*w**5/60 + 7*w**4/6 + 284*w**2. Factor j(c).
c*(c - 28)*(c - 1)
Let y(r) be the third derivative of -r**5/20 + 9*r**4/4 - 81*r**3/2 - 110*r**2. Factor y(i).
-3*(i - 9)**2
Suppose 3*y - 2*m + 541 = 0, -m = 3*y - 2*m + 536. Let i be (y/165 - -1)*10/(-4). Factor i*v**2 - 2/11 + 0*v.
2*(v - 1)*(v + 1)/11
Let q(n) be the third derivative of -n**8/336 + n**7/210 + 14*n**2. Determine o so that q(o) = 0.
0, 1
Let w = 6210 - 6210. Factor 0*b - 3/7*b**2 + w.
-3*b**2/7
Let i = 3511/2 - 1754. Solve -9 + i*l**2 - 3/2*l = 0 for l.
-2, 3
Let c be 3/(297/(-180)) - -1 - -1. Find l such that -2/11*l**2 - c + 4/11*l = 0.
1
Let d(s) be the third derivative of 1/336*s**8 + 1/24*s**4 - 1/60*s**6 + 0*s + 1/105*s**7 + 1/3*s**3 + 0 - 13*s**2 - 1/15*s**5. Solve d(x) = 0.
-2, -1, 1
Let o(i) be the first derivative of 15/2*i**2 + 17 + 10*i - 5/4*i**4 + 0*i**3. What is w in o(w) = 0?
-1, 2
Let -8*z**5 - 34 - 11*z**5 + 4*z**5 - 18*z**4 + 34 + 6*z**2 + 27*z**3 = 0. Calculate z.
-2, -1/5, 0, 1
Let g = 198 - 1384/7. Let p(h) be the second derivative of 2*h + 0 - 4/21*h**3 - 13/70*h**5 - g*h**4 + 0*h**2 - 1/147*h**7 - 2/35*h**6. Factor p(w).
-2*w*(w + 1)**2*(w + 2)**2/7
Suppose -4/3*y**2 - 1/3*y**3 + 2 - 1/3*y = 0. What is y?
-3, -2, 1
Let s(a) be the second derivative of -a**5/40 + a**4/2 - 57*a + 3. Find c such that s(c) = 0.
0, 12
Let q be 121/44 + (-2)/(-8). Let 6/5*s**2 - 8/5*s + 14/15*s**q - 8/15 = 0. Calculate s.
-2, -2/7, 1
Let d(s) be the first derivative of -9/11*s**2 + 8/11*s - 1/22*s**4 - 8 + 4/11*s**3. Factor d(z).
-2*(z - 4)*(z - 1)**2/11
Let b(o) be the second derivative of 0 + 8/15*o**3 + 19*o + 8/5*o**2 + 1/15*o**4. Find s such that b(s) = 0.
-2
Let y(a) = -4*a**3 + 57*a**2 + 3*a - 3. Let n(o) = -7*o**3 + 56*o**2 + 4*o - 4. Let s(d) = 3*n(d) - 4*y(d). What is h in s(h) = 0?
-12, 0
Suppose n = 4*l - 3*n - 20, l + n - 1 = 0. Let h be 2*-4*(42/(-8) + 5). Let 1/2*f**h + 4/3*f - 3/2*f**l - 2/3 = 0. Calculate f.
-1, 2/3
Factor 72*v - 31*v**3 + 72*v**4 - 42*v**2 + 28*v**3 - 32*v**4 - 37*v**4.
3*v*(v - 3)*(v - 2)*(v + 4)
Let v be ((-312)/(-91))/(4/350). Let l = v - 1193/4. Factor 7/4*m - l*m**3 + 1/2 - 1/2*m**2.
-(m - 1)*(m + 1)*(7*m + 2)/4
Let p(y) = y**2 + 5*y + 1. Let c(x) = -2*x**2 + 16*x - 1. Let s(k) = -c(k) - p(k). Find d such that s(d) = 0.
0, 21
Let k(a) = -8*a - 3 + 9*a + 0*a. Let v be k(8). Find w, given that -4*w - 1 - 7*w**2 - 1 + v*w**2 = 0.
-1
Suppose 44 = -f + 55. Solve -10*q**2 + 17*q**3 - 20*q**2 + 8 + 7*q**4 + f*q**3 + 20*q - 33*q**3 = 0 for q.
-2, -2/7, 1, 2
Let l(z) be the second derivative of z**5/15 - 2*z**4/3 - 10*z**3/3 + 9*z**2 - 23*z. Let q(d) be the first derivative of l(d). Factor q(x).
4*(x - 5)*(x + 1)
Let f be (-8)/(-5) - 28/(-70). Factor -678 - 15*z**f - 21*z**3 + 6*z + 678.
-3*z*(z + 1)*(7*z - 2)
Let b(d) = d + 1. Let a be b(0). Factor 6*g - 3*g - g - g**2 - a.
-(g - 1)**2
Let d be ((-8)/14)/((-6)/21). Factor -1450*a - 9*a**3 - 4*a**4 + 1450*a - 8*a**d + 21*a**3.
-4*a**2*(a - 2)*(a - 1)
Let c(d) be the first derivative of 31 - 1/3*d**6 + 0*d**2 + 4/5*d**5 - 1/2*d**4 + 0*d**3 + 0*d. Suppose c(t) = 0. What is t?
0, 1
Let d = 27698/17305 - 2/3461. Factor -d - 2*p**2 - 24/5*p.
-2*(p + 2)*(5*p + 2)/5
Suppose 0 = 3*v + 7 - 7. Suppose -20*y + 22*y = v. Factor 0*a + y + 1/3*a**3 + 0*a**2 - 1/3*a**4.
-a**3*(a - 1)/3
Factor 11/2*o - 6 + 1/2*o**2.
(o - 1)*(o + 12)/2
Let -9*n**2 + 0 - 3/2*n**3 - 27/2*n = 0. What is n?
-3, 0
Let g be (-87)/145 + 52/20. Suppose 10/11*b**g - 16/11 - 36/11*b = 0. Calculate b.
-2/5, 4
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