 0.
-2*l*(l - 1)/3
Suppose 15*p - 19*p = -16. Let -p*r**2 - 110*r + 60 + 60*r + 58*r = 0. Calculate r.
-3, 5
Let r = 7477 - 37518/5. Let g = r - -27. Determine s so that 6/5*s**4 - 4/5*s**2 + 4/5*s**3 + 2/5*s**5 - g - 6/5*s = 0.
-1, 1
Factor -64/7 + 8/7*g + 2/7*g**2.
2*(g - 4)*(g + 8)/7
Suppose -50*a + 42*a = -40. Let f = 13 + -9. Factor f*n + n - n - a*n - n**2.
-n*(n + 1)
Let b(s) be the third derivative of -s**5/40 - 69*s**4/2 - 19044*s**3 + 757*s**2. Factor b(j).
-3*(j + 276)**2/2
Let m = 22 - 23. Let y be 7 + 87*m/13. Factor y*a**2 + 0 + 2/13*a**3 + 0*a.
2*a**2*(a + 2)/13
Let y(q) be the first derivative of -45*q + 81/2*q**4 - 1/2*q**6 + 177/2*q**2 - 33/5*q**5 - 78 - 86*q**3. Solve y(s) = 0 for s.
-15, 1
Let k be (-7 + 2 + -4)/(-2 - 1). Factor -5*w**3 + w**k - 78*w - 129*w - w**3 - 638*w - 130*w**2.
-5*w*(w + 13)**2
Let o(z) be the first derivative of -z**4/4 + 280*z**3/3 + 563*z**2/2 + 282*z + 3188. Factor o(b).
-(b - 282)*(b + 1)**2
Factor -246*j + 3/5*j**2 + 0.
3*j*(j - 410)/5
Let h(d) be the third derivative of d**8/112 - 3*d**7/10 + 53*d**6/40 + 21*d**5/20 - 27*d**4/4 + 1742*d**2. Suppose h(x) = 0. Calculate x.
-1, 0, 1, 3, 18
Let b be (-4 + 3)*(78 + -3). Let v be ((24/b)/1)/(30/(-75)). Factor 2/5*t**4 - 16/5*t - 8/5*t**2 + v*t**3 + 0.
2*t*(t - 2)*(t + 2)**2/5
Suppose 0 = -4*y + r + 2*r + 127, -5*r - 53 = -y. Let b**2 - 18*b**3 + 15*b**4 + y*b**3 - b**2 = 0. Calculate b.
-2/3, 0
Let x = -233 - -461. Let m(l) = -l**2 - 8*l + 11. Let i be m(-9). Factor 32*z - 170*z**2 - 3 + 22*z + 155*z**2 - x*z**i.
-3*(9*z - 1)**2
Suppose -802816/3*z**2 - 1792/3*z - 4/9 - 359661568/9*z**3 = 0. Calculate z.
-1/448
Factor 109*h**3 - 39*h**3 + 6044*h**2 - 23512 + 148*h**3 + 11848 + 5400*h + 2*h**4.
2*(h - 1)*(h + 2)*(h + 54)**2
Factor 20*q**4 - 1221*q**3 - 15*q**2 - 439*q**3 - 3*q**4 + 216 + 4970*q - 12*q**4 + 3104.
5*(q - 332)*(q - 2)*(q + 1)**2
Suppose 0 = -w - 4*b + 86, 32302*b - 32307*b + 139 = 3*w. Determine c, given that w*c - 9/2*c**3 - 3*c**2 - 12 + 3/2*c**4 = 0.
-2, 1, 2
Let j(h) be the third derivative of -h**5/40 + 43*h**4/8 - 42*h**3 + 884*h**2. Suppose j(m) = 0. Calculate m.
2, 84
Let n = 107497/45 + -2388. Let f(x) be the third derivative of -n*x**5 - 21*x**2 + 0*x - 8/315*x**7 - 7/30*x**6 + 0 - 8/9*x**3 - 4/3*x**4. Solve f(k) = 0 for k.
-2, -1, -1/4
Let s be (7 - 2009/410)*(-5)/(-9). Find k, given that 1/6*k**2 + 5/3 - s*k = 0.
2, 5
Suppose -31*u + 277 = 91. Suppose -1 = -7*d + u. Factor -1/3*g**3 - d + g**2 + 1/3*g.
-(g - 3)*(g - 1)*(g + 1)/3
Let m(b) be the second derivative of 1/15*b**6 + 0*b**2 - 3/20*b**5 - 1/126*b**7 + 1/9*b**4 + 12*b + 2 + 0*b**3. Solve m(h) = 0.
0, 1, 4
Let k be (2*-1)/((-32)/(-528)). Let l = k - -37. Suppose 20*v - 18*v**2 + 3*v**4 + v**4 - 8 + 3*v**3 + l*v**3 - 5*v**4 = 0. Calculate v.
1, 2
Let n = 1869/68 - 773/34. Find w, given that w**3 - 3/4*w**4 - 3 + n*w**2 - 2*w = 0.
-2, -2/3, 1, 3
Let n(k) be the first derivative of -1/5*k**4 + 4/25*k**5 + 33 + 0*k + 0*k**2 + 0*k**3 - 1/30*k**6. Determine z so that n(z) = 0.
0, 2
Let q(c) be the third derivative of c**7/735 - 11*c**6/210 - 5*c**5/42 + 23*c**4/42 - 579*c**2. Factor q(n).
2*n*(n - 23)*(n - 1)*(n + 2)/7
Let o(b) be the first derivative of 300*b**2 - 132 + 1/8*b**4 - 4000*b - 10*b**3. Determine z, given that o(z) = 0.
20
Determine l so that -3023*l**2 + 427 + 1205*l**2 + 2330*l - 127 + 438*l**3 - 953*l**4 + 919*l**4 = 0.
-2/17, 3, 5
Suppose -2*i + 494 = -4*x, -6*i = -3*i + x - 748. Let a = 2243/9 - i. Let 20/9*g - 50/9 - a*g**2 = 0. Calculate g.
5
Let k(z) be the third derivative of -z**5/210 + z**4/42 + 5*z**3/3 + 4*z**2 + 24*z. Suppose k(w) = 0. What is w?
-5, 7
Suppose -46255 - 4*p**3 - 7344*p - 8177 - 41*p**2 - 271*p**2 = 0. Calculate p.
-42, -18
Let b be 2/10 + 826/295. Let y be (-16)/66*207/(-92). Find c such that 2/11*c**b - 18/11 + y*c + 10/11*c**2 = 0.
-3, 1
Factor 76*u**2 + 19*u**2 - 9127*u + 8879*u + 100 + 2*u**3.
(u - 2)*(u + 50)*(2*u - 1)
Let c(r) be the third derivative of -1/180*r**5 + 81 + 1/360*r**6 + 0*r + 0*r**3 - 2*r**2 - 1/12*r**4. Factor c(a).
a*(a - 3)*(a + 2)/3
Let -3/7*i**5 - 171/7*i**3 + 0 + 11/7*i**2 + 61/7*i**4 + 102/7*i = 0. What is i?
-2/3, 0, 1, 3, 17
Let v be (-172)/(-1075) - 34526/(-1525). Solve 54872/5 - 1/5*s**3 - 4332/5*s + v*s**2 = 0 for s.
38
Let u = -227 + 230. Find g such that 32*g**2 - 5*g**u - 11*g**2 - 266*g**4 + 272*g**4 + 32*g**3 = 0.
-7/2, -1, 0
Factor 4034254 + 4*m**2 + 1980749 + 18738*m - 1630167 - 10362*m.
4*(m + 1047)**2
Let n = 2904/707 - 7298/2121. Factor -2*h**2 + 0 - 4/3*h - n*h**3.
-2*h*(h + 1)*(h + 2)/3
Let h(l) be the second derivative of -l**7/490 - l**6/70 + 67*l**2/2 - 10*l - 4. Let a(k) be the first derivative of h(k). Factor a(d).
-3*d**3*(d + 4)/7
Let g(f) be the first derivative of 175/2*f**2 - 6125/2*f - 5/6*f**3 - 49. Suppose g(n) = 0. Calculate n.
35
Let a(p) be the first derivative of p**5/80 + p**4/8 + 3*p**3/8 + p**2/2 - 19*p + 64. Let t(n) be the first derivative of a(n). What is x in t(x) = 0?
-4, -1
Let n = -2570 - -154201/60. Let f(h) be the third derivative of 0*h**4 + 0*h**3 + 0*h + 12*h**2 - n*h**6 - 1/70*h**7 + 0*h**5 + 0 - 1/336*h**8. Factor f(w).
-w**3*(w + 1)*(w + 2)
Let l(h) be the second derivative of -4/23*h**2 - 25*h + 0*h**3 + 1/138*h**4 + 0. Determine w, given that l(w) = 0.
-2, 2
Let f(r) be the third derivative of -r**8/112 + 34*r**7/35 - 131*r**6/40 - 17*r**5/5 + 33*r**4/2 - 727*r**2 + 3. Determine k so that f(k) = 0.
-1, 0, 1, 2, 66
Let g(l) = l**3 - 5*l**2 - 15*l + 79. Let n be g(4). Find w such that -3261*w**4 + 243*w**2 + 102*w**n + w**5 + 3286*w**4 - 1458*w + 87*w**3 = 0.
-9, 0, 2
Let z = -7 + 10. Suppose -3*b + b = -z*b. Let 2*g**3 + b - 4*g**5 - 4 + 6*g**3 + 8*g**2 - 4*g**4 - 4*g = 0. What is g?
-1, 1
Let q = -34989 + 34989. Let p(x) be the third derivative of 3/140*x**7 + 0*x**5 + 0*x**3 + 1/80*x**6 + q*x + 0 - 31*x**2 + 0*x**4. Factor p(i).
3*i**3*(3*i + 1)/2
Let h(v) be the second derivative of -2*v**4 + 1/15*v**6 + 0 + 11*v**2 - v**5 + 208*v + 10/3*v**3. Let h(i) = 0. What is i?
-1, 1, 11
Suppose 41*w = 33*w + 24. Factor 3*a - a - a**w + 13 + a + 5 - 4*a**2.
-(a - 2)*(a + 3)**2
Suppose -7994*f + 4989*f**2 - 4926*f + 9150*f**3 + 53*f**4 + 11*f**2 + 72*f**4 + 2880 + 5620*f**2 = 0. Calculate f.
-72, -2, 2/5
Let z(g) = g**5 + 20*g**4 + 23*g**3 + 16*g**2 + 2*g - 2. Let q(v) = 3*v**5 + 62*v**4 + 66*v**3 + 49*v**2 + 7*v - 7. Let i(f) = -6*q(f) + 21*z(f). Factor i(u).
3*u**2*(u + 1)**2*(u + 14)
Let l(t) be the third derivative of t**8/30240 - t**7/1080 - t**6/135 + 109*t**5/60 + 3*t**2 - 4. Let x(h) be the third derivative of l(h). Factor x(y).
2*(y - 8)*(y + 1)/3
Suppose 6*i - 171 = 153. Find w, given that -57*w**2 - i*w**2 + 4*w + 6*w**4 - 4*w**5 + 2*w**4 + 103*w**2 = 0.
-1, 0, 1
Let n(a) be the third derivative of 11/12*a**4 + 1/30*a**5 + 18*a + 0 - 4*a**3 - a**2. Factor n(y).
2*(y - 1)*(y + 12)
Let p(j) be the third derivative of 0 + 1/330*j**5 + 100/33*j**3 - j**2 - 20*j - 5/33*j**4. Suppose p(f) = 0. What is f?
10
Suppose 5*k - 10 = -11*w + 6*w, 0 = 4*w - 8. Let t(h) be the third derivative of 0*h - 1/140*h**5 + 0*h**3 + 1/28*h**4 + k + 4*h**2. Find j such that t(j) = 0.
0, 2
Let s(a) be the first derivative of a**2 - 6 - 4/3*a**3 - 2/5*a**5 + 1/15*a**6 + 6*a + a**4. Let m(w) be the first derivative of s(w). Let m(f) = 0. What is f?
1
Let v be ((-175)/(-50))/((-2)/(-152)) + 0. Solve -14*h**2 + 127*h + h**3 - 4*h**3 + 131*h - v*h = 0 for h.
-4, -2/3, 0
Let s(c) be the third derivative of -c**5/210 - 197*c**4/84 - 28*c**3/3 + 6*c**2 - 152*c. Suppose s(x) = 0. Calculate x.
-196, -1
Let p be ((11 + -11)/14)/2. Let k(q) be the third derivative of -14*q**2 - 1/216*q**4 + 0 + p*q + 1/54*q**3 + 1/1080*q**6 - 1/540*q**5. Solve k(d) = 0 for d.
-1, 1
Suppose j - 46 = -23. Suppose 2 = 5*s - j. Factor -5*m**3 + 11*m**5 + 181*m**s + 32*m**4 - 15*m**3 - 4*m**2.
4*m**2*(3*m - 1)*(4*m + 1)**2
Let r(f) = 10*f**3 + 15*f**2 + 20*f + 60. Let x(o) = 2 - 14*o**2 + 10*o + 25*o**2 - 10*o**2 - 11*o + o**3. Let k(a) = -r(a) + 15*x(a). Factor k(q).
5*(q - 3)*(q + 1)*(q + 2)
Suppose -8*h + 157*h = -15*h + 656. Let j(p) be the first derivative of 5 + 0*p - 1/8*p**h + 1/2*p**3 - 1/2*p**2. Suppose j(t) = 0. What is t?
0, 1, 2
Let k(b) = 54*b + 759. Let s be k(-14). Let n(i) be the second 