0/350 + (-36)/(-10). Factor 0*i**v + 1/6*i**2 - 1/6*i**u + 0 + 0*i.
-i**2*(i - 1)*(i + 1)/6
Let h(z) be the second derivative of -z**7/504 + z**6/8 - 17*z**5/24 + 49*z**4/4 + 109*z. Let q(v) be the third derivative of h(v). Factor q(o).
-5*(o - 17)*(o - 1)
Suppose -6*b = -179 + 161. Determine q, given that 6*q + b*q**2 - q**2 + 22916*q**4 - 6*q**3 - 22918*q**4 = 0.
-3, -1, 0, 1
Let k = 16383 - 16371. Let y(u) be the first derivative of -u**4 + 20/3*u**3 + 0*u + 11 - k*u**2. Let y(v) = 0. What is v?
0, 2, 3
Let i(q) = 7*q**2 + 23*q + 5. Let f(j) = j**2 - j + 1. Let w(r) = 5*f(r) - i(r). What is l in w(l) = 0?
-14, 0
Let u(m) be the first derivative of -4*m**5/3 - 37*m**4/3 - 16*m**3 + 24*m**2 - 3245. Find j such that u(j) = 0.
-6, -2, 0, 3/5
Let p(n) be the first derivative of -2/3*n**3 + 4/3*n - n**2 + 85 + 1/3*n**4. Factor p(s).
2*(s - 2)*(s + 1)*(2*s - 1)/3
Let f(s) be the first derivative of 4/15*s**4 + 0*s**2 - 18 + 0*s - 2/75*s**5 + 1/900*s**6 - 2*s**3. Let g(n) be the third derivative of f(n). Factor g(w).
2*(w - 4)**2/5
Factor -658*t**2 - 1310255 + 988430 + 2088966*t - 3428*t**2 + 2*t**3 - 1763057.
2*(t - 1021)**2*(t - 1)
Suppose -14881 = -16*d + 5487. Let x be (-2)/13 + d/2613. Factor x*y**2 + 1/3 - 2/3*y.
(y - 1)**2/3
Factor -331*i + 552*i - 384 + 69*i**2 - 21*i**3 + 585*i + 466*i + 189*i**2.
-3*(i - 16)*(i + 4)*(7*i - 2)
Let g(p) = p**2 + 34*p + 95. Let h be g(-31). Let r(l) = -2*l**2 - 12*l + 14. Let c be r(-7). Suppose c*a - 2/7*a**h + 2/7 = 0. What is a?
-1, 1
Let k(i) be the second derivative of -i**6/10 - 6*i**5/5 + 63*i**4/2 + 784*i**3 + 13377*i**2/2 + 2104*i. Solve k(s) = 0.
-7, 13
Suppose 1339*q - 1274*q - 200 = -70. Factor 0 + 0*x**4 + 0*x + 3/2*x**q - 9/4*x**3 + 3/4*x**5.
3*x**2*(x - 1)**2*(x + 2)/4
Let t = -597 + 603. Let o(f) be the second derivative of 0*f**2 - t*f + 0 - 1/126*f**7 + 1/45*f**6 + 1/18*f**3 + 0*f**5 - 1/18*f**4. Factor o(v).
-v*(v - 1)**3*(v + 1)/3
Determine v, given that -128/7*v + 4/7*v**2 - 1280/7 = 0.
-8, 40
Let s(d) = -1365*d + 13653. Let y be s(10). Factor -9/8*t**y - 3/2*t**4 + 0*t + 0*t**2 - 3/8*t**5 + 0.
-3*t**3*(t + 1)*(t + 3)/8
Let x = 774012/5 + -154791. What is g in x*g**2 - 54/5 - 3/5*g**4 + 21/5*g - 21/5*g**3 = 0?
-9, -1, 1, 2
Let k(h) be the second derivative of 0 + 130*h - 1/4*h**4 + 1/80*h**5 + 0*h**2 + 3/2*h**3. Factor k(z).
z*(z - 6)**2/4
Let k(r) = r**2 - 7*r + 12. Let q be k(5). Let 47 + 52 + 42*a - 153*a**2 - 144*a + 156*a**q = 0. What is a?
1, 33
Let o be -1 - -52 - (2 + (-2)/2). Let u = o + -47. Find z, given that 283*z**3 - 143*z**3 - 136*z**u - 2*z**4 + 4*z**2 + 2*z**2 = 0.
-1, 0, 3
Let j(r) be the first derivative of -4/3*r**3 + 4/5*r**5 + 47 - 8*r**4 + 0*r + 16*r**2. Factor j(g).
4*g*(g - 8)*(g - 1)*(g + 1)
Factor 1800/7*v**2 + 2/7*v**4 + 0*v + 120/7*v**3 + 0.
2*v**2*(v + 30)**2/7
Let m(t) be the second derivative of t**4/84 + 344*t**3/21 - 689*t**2/14 - 3431*t. Find o, given that m(o) = 0.
-689, 1
Let m(b) be the third derivative of 2*b**7/735 + 13*b**6/210 - b**5/7 - 13*b**4/42 + 4*b**3/3 + 5*b**2 + 2*b - 102. Solve m(s) = 0 for s.
-14, -1, 1
Let c = 68278 + -68275. Suppose 4*m - m - q - 10 = 0, -4*q + 4 = -m. Solve 0 - 36/5*z**3 + c*z**m - 6/5*z + 27/5*z**2 = 0.
0, 2/5, 1
Let v = -33 - -41. Suppose -v*i = -13*i + 190. Let -17 + 23*y**2 + 25 + 12*y**2 + i*y = 0. Calculate y.
-4/5, -2/7
Let m(i) be the third derivative of 1/6*i**4 + 0 - 1/30*i**6 + 23*i**2 + i**3 + 1/105*i**7 + 0*i - 2/15*i**5. Find c such that m(c) = 0.
-1, 1, 3
Let u(s) = s**2 + 7*s + 8. Let r be u(-6). Suppose -3*b - 7 = -4*b - c, r*c - 2 = 0. Let -4*d**2 + 3*d**2 - 5 + b*d**2 = 0. What is d?
-1, 1
Let w be -16 + 17 + -10*(-4)/(-8). Let q be 2/w*412/(-103). Suppose 3/2 - 3/8*z**3 + 15/8*z**q - 3*z = 0. What is z?
1, 2
Let n(y) be the third derivative of -2*y**7/105 + 160*y**6 - 576000*y**5 + 1152000000*y**4 - 1382400000000*y**3 - 155*y**2 - 2*y - 12. Solve n(z) = 0 for z.
1200
Solve -69743*l**4 + 8*l**3 + 69742*l**4 - 546*l + 541*l**2 - 2*l**3 = 0 for l.
-21, 0, 1, 26
Let b(d) be the second derivative of d**5/5 + 112*d**4/3 + 442*d**3/3 + 220*d**2 - 71*d - 9. What is f in b(f) = 0?
-110, -1
Suppose -2*y = -42 - 2. Determine r, given that r - y*r + 2*r - r - 4*r**2 - 24 = 0.
-3, -2
Let y = 5047/9465 - 42/631. Let g(b) be the second derivative of -1/50*b**5 + y*b**3 + 0*b**4 - 31*b + 0 + 6/5*b**2. Factor g(a).
-2*(a - 3)*(a + 1)*(a + 2)/5
Let i(y) = y**4 - y**3 - y**2 - y + 2. Let g(r) = 2*r**4 - 4*r**3 + 2*r. Let d be (-8)/(-4)*((-28)/8)/7. Let u(n) = d*g(n) + i(n). Factor u(j).
-(j - 2)*(j - 1)**2*(j + 1)
Factor 0 - 2/5*p + 1/5*p**3 + 1/5*p**5 + 3/5*p**2 - 3/5*p**4.
p*(p - 2)*(p - 1)**2*(p + 1)/5
Let h = -236792 + 236796. Suppose -1/4*n**2 + h*n + 0 = 0. What is n?
0, 16
Let n(j) = -613*j - 4288. Let z be n(-7). Find v such that 2/9*v**5 + 2/9*v**4 - 2/9*v**z - 2/9*v**2 + 0*v + 0 = 0.
-1, 0, 1
Suppose 9*c + 30 = -15. Let a(f) = -5*f**2 + 31*f - 82. Let r(n) = -11*n**2 + 61*n - 163. Let w(d) = c*a(d) + 2*r(d). Suppose w(m) = 0. What is m?
4, 7
Let q(m) be the second derivative of -85*m + 19/12*m**3 - 3/2*m**2 - 1/60*m**6 + 9/40*m**5 - 7/8*m**4 + 1. Suppose q(f) = 0. Calculate f.
1, 6
Let z(w) = -15*w**2 + 24*w - 3. Let i = -148 + 152. Let s(u) = u**3 + 14*u**2 - 23*u + 4. Let q(y) = i*z(y) + 3*s(y). Factor q(o).
3*o*(o - 3)**2
Let s(t) be the first derivative of 10/7*t + 12/7*t**4 + 4/35*t**5 + 51/14*t**2 + 85/21*t**3 - 97. Determine a, given that s(a) = 0.
-10, -1, -1/2
Let r be -3*1*45/(-27). Let k(w) be the second derivative of 4/21*w**7 + 3/5*w**6 - 2*w**3 - w**2 - 4/3*w**4 + 0 - r*w + 1/5*w**5. Factor k(s).
2*(s - 1)*(s + 1)**3*(4*s + 1)
Let r = 8365/78 - 643/6. Let f(i) be the first derivative of -8/39*i**3 - 18 - 8/13*i**2 + r*i**4 + 0*i + 2/65*i**5. Factor f(w).
2*w*(w - 2)*(w + 2)**2/13
Let q be (38/(-32))/((-18)/(-60)) + (-76 - -80). Let o(v) be the second derivative of 1/4*v**3 + 34*v - q*v**4 - 1/2*v**2 + 0. Factor o(t).
-(t - 2)*(t - 1)/2
Factor 68*u - 5*u**3 - 52*u**2 + 29*u**3 + 17*u**2 - 60*u**2 + 3*u**2.
4*u*(u - 1)*(6*u - 17)
Let s(q) = -q**2 + 3*q + 30. Let b be s(-6). Let l be 1/(3/b) + 8. Factor 0 + 0*m**3 + 4/5*m**4 + 2/5*m**5 + l*m**2 + 0*m.
2*m**4*(m + 2)/5
Let b(y) = 10*y - 6. Suppose -4*j + 0 = 8. Let z(u) = -u**2. Let x(o) = 5*o**2 - 1. Let h(k) = x(k) + 6*z(k). Let l(c) = j*h(c) - b(c). Factor l(q).
2*(q - 4)*(q - 1)
Let p(n) be the first derivative of 0*n**4 + 0*n - 1/12*n**6 + 2/5*n**5 - 8/3*n**3 + 4*n**2 - 38. Factor p(f).
-f*(f - 2)**3*(f + 2)/2
Let u(y) be the first derivative of -2*y**3/27 - 2*y**2/3 + 32*y/9 + 1779. Factor u(a).
-2*(a - 2)*(a + 8)/9
Let i(c) be the third derivative of c**7/210 - 41*c**6/60 - c**5/60 + 41*c**4/12 - 403*c**2 + 2*c. Solve i(s) = 0.
-1, 0, 1, 82
Let s be (157/628)/((2/15476)/1). Let t = -1934 + s. Factor 1/4*w**3 + 1/4*w - t*w**2 + 0.
w*(w - 1)**2/4
Let a be 15 - -47 - (1 - 5). Let d be -2 + (-120)/(-55) + 10/a. Factor 1/6*c**2 + 1/6 - d*c.
(c - 1)**2/6
Factor 1942*u + 5914*u - 28379*u**2 + 59172*u**2 + 1984*u + 288 + 53257*u**2.
2*(205*u + 12)**2
Let o(l) be the second derivative of l**6/60 + 17*l**5/40 + 13*l**4/4 + 16*l**3/3 - 40*l**2 - 63*l + 3. Factor o(m).
(m - 1)*(m + 4)**2*(m + 10)/2
Let t be (-611)/(-94)*(2947/(-273) - -11). Factor -32 + 44/3*i - t*i**2.
-4*(i - 8)*(i - 3)/3
Let c(w) be the second derivative of w**6/180 + w**5/12 - 13*w**4/72 - 11*w**3/18 - 4*w + 128. Let c(f) = 0. Calculate f.
-11, -1, 0, 2
Suppose -3 = 3*n, -3*w - 92 = 2*n - 0*n. Let f = w - -32. Factor 10*g + 1 + 3*g**2 + 4 + 0*g**2 + f*g**2.
5*(g + 1)**2
Find j such that -57616/7*j - 50496/7*j**2 + 28*j**4 - 9600/7 + 16788*j**3 = 0.
-600, -2/7, 1
Let n(o) be the first derivative of 3*o**5/10 + 39*o**4/2 + 363*o**3 + 975*o**2 + 1875*o/2 - 742. Factor n(s).
3*(s + 1)**2*(s + 25)**2/2
Suppose -j + r + 15 = 0, -87 = -21*j - 54*r + 56*r. Factor -2/13*o**j - 2/13*o**5 + 0 + 0*o**2 - 4/13*o**4 + 0*o.
-2*o**3*(o + 1)**2/13
Suppose -12 = 14*z - 9*z - 9*z. Let p(h) be the first derivative of -h**z + 0*h**4 + 0*h + 3/5*h**5 + 0*h**2 + 15. Determine r, given that p(r) = 0.
-1, 0, 1
Let j = 13890 - 13888. Let a(y) be the second derivative of 2*y**j + 22*y + 0 + 1/24*y**4 - 1/2*y**3. Factor a(t).
(t - 4)*(t - 2)/2
Let k(f) = 11*f**3 - 254*f**2 + 260*f + 70. Let y(o) = 5*o**