b - 22. Let i be v(4). Let -336*s**2 + 9*s + 166*s**2 - s**3 + 164*s**i - 2*s**3 = 0. Calculate s.
-3, 0, 1
Suppose -2*b - 4/3*b**2 - 2/9*b**3 + 0 = 0. Calculate b.
-3, 0
Let i = 3/68335 + 409989/478345. Factor k - 1/7*k**3 + 0 - i*k**2.
-k*(k - 1)*(k + 7)/7
Let o(q) be the first derivative of q**7/840 + 13*q**6/360 + 11*q**5/24 + 25*q**4/8 - q**3 - 30. Let n(u) be the third derivative of o(u). Factor n(b).
(b + 3)*(b + 5)**2
Let d be 10/1 + (-6 - (-2142)/85 - 14). Suppose -d*q - 722/5 - 2/5*q**2 = 0. Calculate q.
-19
Let x(o) be the third derivative of o**6/360 - 19*o**5/90 - o**4/18 + 76*o**3/9 - 1387*o**2. Find z such that x(z) = 0.
-2, 2, 38
Let d(q) be the third derivative of -5*q**8/336 - 8*q**7/21 - 41*q**6/24 + 113*q**5/6 + 75*q**4/2 - 540*q**3 + 1928*q**2. Suppose d(a) = 0. Calculate a.
-9, -2, 2
Find f, given that -245/6*f + 41 - 1/6*f**2 = 0.
-246, 1
Let r(d) be the first derivative of d**3/3 + 5*d**2/2 - 10*d + 50. Let o(n) = -n**2 - 2*n + 4. Let p(i) = 5*o(i) + 2*r(i). Solve p(s) = 0.
0
Suppose 5*r - 62 = r + 2*x, 3*r - 2*x - 49 = 0. Factor 0*w**3 - 76*w - 22 - 1 - 44*w**2 - 3*w**3 - w**3 - r.
-4*(w + 1)**2*(w + 9)
Let i(j) = -j**2 - 14*j - 10. Suppose -4*v - 2*t - 46 = 0, -2*v = -4*t + 22 + 16. Let o be i(v). Factor -13*q**4 - 5*q**2 - 7*q**3 + 8*q**4 + 0*q**3 - 3*q**o.
-5*q**2*(q + 1)**2
Let i(j) be the first derivative of 4*j**4 + 196*j**3/3 + 312*j**2 + 144*j + 233. Let i(h) = 0. What is h?
-6, -1/4
Let c(h) be the third derivative of 8*h**7/105 + 11*h**6/10 + 76*h**5/15 + 19*h**4/2 + 20*h**3/3 + 2097*h**2. Suppose c(y) = 0. What is y?
-5, -2, -1, -1/4
Let n(h) be the third derivative of -h**6/180 - 11*h**5/60 + h**3 - 2*h**2 - 36*h. Let k(j) be the first derivative of n(j). Let k(b) = 0. What is b?
-11, 0
Suppose -7 = -5*j - 27, -c + 15 = -2*j. Let n(t) = 20*t**3 + 33*t**2 - t + 7. Let b(i) = 21*i**3 + 33*i**2 + 6. Let d(w) = c*b(w) - 6*n(w). Factor d(m).
3*m*(m + 1)*(9*m + 2)
Let c(v) = v**2 - 40*v - 438. Let u be c(49). Find t, given that 0 + 10/3*t**4 + 2*t**2 - 6*t**u + 2/3*t = 0.
-1/5, 0, 1
Factor -6306*d**2 + 2581*d**3 - 88659*d**2 - 25*d**4 - 2375*d**2 + 529*d**3 + 38440*d.
-5*d*(d - 62)**2*(5*d - 2)
Let u(h) be the first derivative of 1/4*h**2 - 122 + 2/3*h**3 - 2*h - 1/8*h**4. Factor u(m).
-(m - 4)*(m - 1)*(m + 1)/2
Factor -24*h + 2748 + 612 - 105*h - 3*h + 3*h**2 - 555*h.
3*(h - 224)*(h - 5)
Suppose 10*w - 15 = 15. Let p(s) = 13*s**3 + s**2. Let z be p(1). Factor 7 + w*x**2 - 9*x - 21 + z.
3*x*(x - 3)
Let o(u) be the third derivative of -u**7/42 + 7*u**6/4 - 19*u**5 + 275*u**4/3 - 240*u**3 - 10*u**2 + 12*u. Factor o(a).
-5*(a - 36)*(a - 2)**3
Find u such that 3538188 + 14715919*u - 14722435*u - u**2 + 4*u**2 = 0.
1086
Determine a, given that -116*a**2 + 4/5*a**4 + 2604/5*a + 0 - 108/5*a**3 = 0.
-7, 0, 3, 31
Factor -204*y**3 - 16*y**2 + 1184*y + 177*y**3 + 4*y**4 + 11*y**2 - 365*y**3 - 7*y**2 - 784.
4*(y - 98)*(y - 1)**2*(y + 2)
Let g(b) be the second derivative of -b**4/12 - 200*b**3/3 + 402*b**2 + 1052*b - 2. Find i, given that g(i) = 0.
-402, 2
Let i(w) = w**2 + 2*w + 22. Let q be i(5). Factor q - 57 - 2*b**4 + 15*b**2 + 6*b**3 - 18*b - b**4.
-3*b*(b - 3)*(b - 1)*(b + 2)
Let u be 1254/(-522) - -3 - (-29)/(13456/32). Let u*l**3 - 34/3 - 22*l - 10*l**2 = 0. Calculate l.
-1, 17
Let j(g) be the third derivative of -g**2 + 0*g**3 + 0*g - 1/1344*g**8 - 1/240*g**5 + 1/480*g**6 + 0*g**4 - 65 + 1/840*g**7. Factor j(b).
-b**2*(b - 1)**2*(b + 1)/4
Let y(g) be the second derivative of -5*g**4/12 - 365*g**3/6 - 1155*g**2 - 945*g - 4. Factor y(d).
-5*(d + 7)*(d + 66)
Let f(i) be the second derivative of 1 - 468/5*i**5 + 6084/5*i**6 - 39546/7*i**7 + 0*i**3 + 8/3*i**4 + 0*i**2 + 62*i. Factor f(l).
-4*l**2*(39*l - 2)**3
Let y = 183750 + -183750. Factor 0 - 6/5*n**3 + y*n**2 + 0*n - 2/5*n**4.
-2*n**3*(n + 3)/5
Let h(n) = 18*n**2 + 70*n - 383. Let a be h(5). Suppose -429*i + 48 = -a*i. Factor 10/9*d**2 - 2/3*d**3 + 2/9*d**5 - 2/9*d**i + 0 - 4/9*d.
2*d*(d - 1)**3*(d + 2)/9
Let c(x) be the second derivative of -4840*x**6/21 - 2552*x**5/7 - 223*x**4/7 - 6*x**3/7 - 4648*x. Factor c(z).
-4*z*(z + 1)*(110*z + 3)**2/7
Suppose 22*m + 2140 = 18*m. Let h = m + 3749/7. Factor 0 - h*x**2 + 4/7*x + 4/7*x**4 - 4/7*x**3.
4*x*(x - 1)**2*(x + 1)/7
Let x(k) be the first derivative of 1001/4*k**2 + 1618/3*k**3 + 2933/8*k**4 + 20/3*k**6 + 49*k - 524/5*k**5 - 51. Let x(v) = 0. Calculate v.
-2/5, -1/4, 7
Let t be (-265)/159*(-96)/10. Factor -142*f**2 - t*f**4 + 4*f**3 + 120*f + 35*f**4 - 14*f**4 + f**3 + 12*f**2.
5*f*(f - 4)*(f - 1)*(f + 6)
Let a be 4/(-3) - (-1172)/879. Let u(h) be the second derivative of -1/72*h**4 - 15*h - 1/120*h**5 + 0*h**3 + a + 0*h**2. Solve u(k) = 0 for k.
-1, 0
Let b(f) be the first derivative of -2*f**2 + 6*f + 33 - 2/3*f**3. Factor b(r).
-2*(r - 1)*(r + 3)
Let -4011*v**2 + 1830*v**3 + 1715*v**2 - 4307*v**2 + 8966*v - 75*v**4 - 13856*v - 55602*v = 0. What is v?
-4, 0, 71/5
Suppose -5*l - 219 = 6*b - 221, -6 = -2*b + l. Let 2/11*r**5 - 32/11*r**4 + 98/11*r + 156/11*r**3 - 224/11*r**b + 0 = 0. Calculate r.
0, 1, 7
Let u(v) be the first derivative of 1/10*v**5 + 1/2*v**4 + 1/2*v**2 - 97 + 0*v + 5/6*v**3. Factor u(r).
r*(r + 1)**2*(r + 2)/2
Let f be (-48)/9 + 2/6. Let j(z) = -2*z + 25*z**2 - z**3 + 18*z**2 + 23*z**2 - 73*z**2. Let h(y) = y**3 + 4*y**2 + y. Let k(d) = f*h(d) - 3*j(d). Factor k(i).
-i*(i - 1)*(2*i + 1)
Solve 5*q**2 + 3615*q + 36792 - 36792 = 0 for q.
-723, 0
Let v(d) be the third derivative of 120*d**2 + 0*d**3 + 0*d + 0 + 23/66*d**4 - 163/330*d**5 + 7/660*d**6. Let v(x) = 0. Calculate x.
0, 2/7, 23
Let b = 83312 + -416559/5. Factor i + b*i**5 + 2*i**2 + i**4 + 1/5 + 2*i**3.
(i + 1)**5/5
Let s(r) be the third derivative of -17/110*r**5 + 4/11*r**3 + 0 + 0*r - 30*r**2 + 1/55*r**7 - 5/66*r**6 + 8/33*r**4. Determine y, given that s(y) = 0.
-1, -2/7, 2/3, 3
Let j = 17/70 - -509/210. Let b(n) be the first derivative of -9/8*n**4 - 7 + j*n**3 + 0*n + n**2. Factor b(v).
-v*(v - 2)*(9*v + 2)/2
Solve -168/5*q - 144 + 3/5*q**2 = 0.
-4, 60
Factor 3*w**2 - 3*w - 1228 + 1210 + 0*w**2.
3*(w - 3)*(w + 2)
Let x = 2194 - 3664. Let k be (-2)/5 + (-8148)/x. Let -16/7 + k*g + 66/7*g**2 + 2*g**3 = 0. What is g?
-4, -1, 2/7
Let y(u) = -2876*u**2 - 1064*u - 104. Let l(j) = 20126*j**2 + 7448*j + 731. Let o(z) = 2*l(z) + 15*y(z). Factor o(p).
-2*(38*p + 7)**2
Let v(b) be the third derivative of -b**7/210 - b**6/60 + 7*b**5/12 - 1468*b**2. Factor v(s).
-s**2*(s - 5)*(s + 7)
Let i(p) be the first derivative of -18/17*p**4 - 50/17*p + 59 + 35/17*p**2 + 16/17*p**3. Solve i(j) = 0 for j.
-1, 5/6
Solve -48/11*c**3 + 334/11*c**2 - 552/11*c + 2/11*c**4 - 936/11 = 0.
-1, 6, 13
Let q(k) be the third derivative of k**6/40 - 4*k**5/3 + 41*k**4/8 + 25*k**3/3 + 1911*k**2. Factor q(y).
(y - 25)*(y - 2)*(3*y + 1)
Let v = 1/14 + 25/42. Let r = -21552 - -21554. Determine z so that -1/9*z**4 + 2/3*z**3 + 1/9*z**r - v*z + 0 = 0.
-1, 0, 1, 6
Let m be 20/(-6)*1971/(-365). Suppose -4*n + 2*i = 5 - 23, 5*n + 2*i = m. What is x in 0*x + 8/5*x**3 + 0 + 16/5*x**2 + 1/5*x**n = 0?
-4, 0
Factor 1/2*d**2 - 105/2 - 8*d.
(d - 21)*(d + 5)/2
Let i(m) = 21059*m - 46 + 16 - 21058*m. Let y be i(32). Solve 0 - 1/5*g**y - g = 0 for g.
-5, 0
Suppose 0 = -l + 3*s + 5, -5*s = 2*l - 10 - 0. Suppose 5*j + 5*d = 0, 0 + 3 = -4*j - l*d. Find n such that 62 - 268*n**2 - 22 + 5*n**j - 30*n + 253*n**2 = 0.
-2, 1, 4
Let x(u) be the third derivative of -u**6/24 + 17*u**5/2 - 1465*u**4/24 - 330*u**3 - 4*u**2 + 3*u - 48. Find g, given that x(g) = 0.
-1, 4, 99
Let v(x) = -1340*x**2 + 1338*x - 7. Let b(y) = -2682*y**2 + 2676*y - 15. Let h(k) = -3*b(k) + 7*v(k). Determine z, given that h(z) = 0.
2/667, 1
Let b(i) be the first derivative of 53 + 0*i + 1/10*i**2 + 1/20*i**4 + 2/15*i**3. Suppose b(t) = 0. Calculate t.
-1, 0
Let g be 2856/(-119) - (-222)/6. Factor g - 25/2*k - 1/2*k**2.
-(k - 1)*(k + 26)/2
Suppose -77*w + 5*m = -82*w, -m + 4 = 2*w. Suppose 5 = -4*h + 5*i, 2*i + 3*i = 25. Factor -1/2*t**h - 11*t**3 - w*t**4 - 12*t**2 + 0 - 9/2*t.
-t*(t + 1)**2*(t + 3)**2/2
Suppose -20*d + d = -399. Let h(f) = -f**2 + 14*f + 2. Let i be h(14). Suppose d*v**2 - 5 - 26*v**2 - 15 + 10*v**i = 0. Calculate v.
-2, 2
Let z(s) = -45*s**3 - 360*s**2 - 225*s + 2250. Suppose 16*f = 21*f + 20. Let m(r) = 5*r**