u) = -6*u**3 + 43*u**2 + 187*u - 214. Let k(s) = -h(s) + 5*r(s). Factor k(q).
(q - 56)*(q - 1)*(q + 4)
Let i(h) be the third derivative of 5*h**8/336 + 131*h**7/42 - 673*h**6/24 + 949*h**5/12 - 85*h**4 + 4*h**2 + 233. Solve i(f) = 0.
-136, 0, 1, 3
Let n be (-57)/4 - (25/(-20) + 1). Let i be n + 2 + 9 + 1*4. Factor 1/2*b - i + 14*b**2.
(4*b - 1)*(7*b + 2)/2
Factor -3*l**3 + l + 1747*l**2 - 1055*l**2 + 1015*l**2 - l.
-3*l**2*(l - 569)
Solve -31080*l - 605*l**5 - 1878 - 33796*l**2 - 1385*l**4 - 7129*l**2 - 5050*l**4 - 18624*l**3 - 5871*l**3 - 6942 = 0.
-42/11, -1
Suppose -9 = -u - 7*k + 10*k, 5*k = 3*u - 19. Let h(w) be the first derivative of -1/14*w**4 + 16/21*w**u + 0*w**2 - 25 + 0*w. Factor h(t).
-2*t**2*(t - 8)/7
Let x(u) = -131*u**2 + 3809*u - 286. Let d be x(29). Factor 4*g - 4/5*g**d + 0 + 4/5*g**2 - 4*g**3.
-4*g*(g - 1)*(g + 1)*(g + 5)/5
Let a(f) = -6*f**4 + 36*f**3 - 99*f**2 + 105*f - 42. Let y(g) = -11*g**4 + 70*g**3 - 197*g**2 + 213*g - 85. Let l(o) = 5*a(o) - 3*y(o). Solve l(q) = 0.
1, 3, 5
Suppose -173 = -28*o - 61. Suppose 0 = -4*d + 6*c - o*c + 12, -5*d = -5*c - 20. Let 2 - g**3 + 2*g**4 + 1/2*g + 1/2*g**5 - 4*g**d = 0. What is g?
-4, -1, 1
Solve -2/5*w**3 - 6/5*w**5 + 88 - 1192/5*w + 834/5*w**2 - 74/5*w**4 = 0.
-11, -5, 2/3, 1, 2
Let b = -584701/12 - -146176/3. Factor -39/4*h**2 - 45/4*h - 11/4*h**3 + 0 - b*h**4.
-h*(h + 3)**2*(h + 5)/4
Let o(h) = 92*h - 7581. Let j be o(83). Let s(l) be the first derivative of 28 + 40*l + 25/3*l**3 - j*l**2. Find u such that s(u) = 0.
2/5, 4
Let b(p) be the third derivative of 1/30*p**5 - 8/3*p**3 + 0*p + 1/6*p**4 + 3 + 13*p**2. Factor b(g).
2*(g - 2)*(g + 4)
Let d = 209 - -10. Let -144 - d*q**2 - 4*q**3 + 110*q**2 + 23*q + 37*q + 117*q**2 = 0. Calculate q.
-4, 3
Let h(v) = -v**2 - v + 2. Let m be (-3 - -7)/2 + -3 - 2. Let r(b) = -4*b**2 - 2*b + 6. Let u(y) = m*h(y) + r(y). Solve u(n) = 0 for n.
0, 1
Let i(j) be the first derivative of -3/5*j**4 + 4/3*j**3 - 4/25*j**5 + 68 + 2/15*j**6 - 4/5*j**2 + 0*j. Factor i(y).
4*y*(y - 1)**3*(y + 2)/5
Let y(o) = o**2 - 3*o - 5. Let s(h) = h**2 + 90*h - 380. Let d(q) = s(q) - 4*y(q). Find z such that d(z) = 0.
4, 30
Let u be -3*(76118/(-9513) + 8). Let d = 3179/1812 - u. Factor -d*s + 3/2 - 3/4*s**2.
-(s + 3)*(3*s - 2)/4
Let s be (-1 + -7)*(-1333)/124. Factor -f**2 - 77 + 3*f + s - 12*f + f**3.
(f - 3)*(f - 1)*(f + 3)
Let x(b) be the first derivative of -b**4 - 296*b**3 + 894*b**2 - 896*b + 260. Factor x(v).
-4*(v - 1)**2*(v + 224)
Find x, given that 3/2*x**2 + 5/2 + 9/2*x - 1/2*x**3 = 0.
-1, 5
Let v(z) be the second derivative of -z**4/102 + 436*z**3/17 - 427716*z**2/17 - 1953*z. Factor v(g).
-2*(g - 654)**2/17
Let t(f) be the second derivative of -f**4/21 - 5524*f**3/21 - 3814322*f**2/7 - 5347*f. Factor t(x).
-4*(x + 1381)**2/7
Let f(p) = 2*p**3 + 83*p**2 + 24*p - 694. Let y be f(-41). Let 10/7*r**2 - 2/7*r**y + 0 - 12/7*r = 0. Calculate r.
0, 2, 3
Let z be 2/(-9) - (9 - 303/27). Find w such that -6458*w**4 + 22*w**z - 22*w - 4*w**2 - 2*w**3 + 6456*w**4 + 8 = 0.
-4, 1
Let c be (-850)/2380 - (-42)/49. Let g be 2/6 - 5/(-3). Determine u, given that 3/2*u + 0 + c*u**3 + 5/2*u**g - 1/2*u**4 = 0.
-1, 0, 3
Let h(o) = -3*o**2 - 6*o + 26. Let j(x) = x**2 + 2*x - 9. Let r = -69 - -63. Let v(m) = r*h(m) - 17*j(m). Find d, given that v(d) = 0.
-3, 1
Suppose -2*v + 160 = o + 3*v, -2*o + 5*v + 245 = 0. Let u = -130 + o. Factor 0 + 2/9*y**u - 4/3*y**3 - 16/9*y**2 + 0*y**4 - 2/3*y.
2*y*(y - 3)*(y + 1)**3/9
Let f(i) = -i**2 - 9*i + 12. Let z be f(-10). Factor -648 - 56*n + 16*n - 32*n - 2*n**2 + 0*n**z.
-2*(n + 18)**2
Let c = -6 - -39. Suppose 2*s - c = -5*y, -2*y + 1 + 16 = -3*s. Let 15*h + 3*h**2 + 3*h**2 - 8*h**2 + y*h**2 + 10 = 0. What is h?
-2, -1
Let o = 2341 + -1966. Let n be (-150)/o + (1 - 11/(-40)). Solve -9/8*g**2 - 15/8*g - n - 1/8*g**3 = 0 for g.
-7, -1
Let y = -33 + 67/2. Let m be (11 - 22)/(-44)*1. Factor 1/4*o + m*o**2 - y.
(o - 1)*(o + 2)/4
Let v(g) be the second derivative of 5/6*g**4 + 0 - 13*g - 7*g**2 - 1/30*g**6 - 2*g**3 - 1/15*g**5. Let u(t) be the first derivative of v(t). Factor u(f).
-4*(f - 1)**2*(f + 3)
Let p(j) be the third derivative of 0*j + 0 + 1/780*j**6 + 0*j**3 + 0*j**4 + 4/65*j**5 + 55*j**2. Factor p(t).
2*t**2*(t + 24)/13
Let x(u) = u**3 + 3*u**2 - u. Let h(a) = 16*a**3 - 7*a**2 - 122*a - 54. Let w(v) = -2*h(v) + 30*x(v). Factor w(o).
-2*(o - 54)*(o + 1)**2
Let x = -103577 - -517891/5. Find t, given that -x*t**2 - 3/5*t**3 - 72/5 + 12*t = 0.
-6, 2
Let z(d) be the third derivative of -d**7/70 - 27*d**6/40 + 3*d**5/20 + 83*d**4/8 + 27*d**3 - 23*d**2 + 23. Factor z(m).
-3*(m - 2)*(m + 1)**2*(m + 27)
Suppose 3*x + 50 = 2*l, 0 = -3*l + x + 65 + 3. Suppose -125*b + 103*b = -l. Factor w - b - 1/4*w**2.
-(w - 2)**2/4
Let x be (-2)/(7 + (-253)/33). Let i(b) be the second derivative of -2/3*b**x + 0*b**2 + 0 - 1/12*b**4 - 16*b. Factor i(y).
-y*(y + 4)
Let b be (-17)/(-255) - (-174)/90. Suppose -b*i = 3*m, 4*m + 12 = 7*m - 2*i. Factor m*c - 4/3 - 2/3*c**2.
-2*(c - 2)*(c - 1)/3
Let a(f) = -27*f**2 - 3145*f - 1506. Let n be a(-116). Factor -30/7*l - 2/7*l**n + 32/7.
-2*(l - 1)*(l + 16)/7
Let r(o) be the second derivative of 9*o**6/2 + 3*o**5/2 + 5*o**4/24 + o**3 - 5*o**2/2 + 46*o. Let c(x) be the second derivative of r(x). Factor c(d).
5*(18*d + 1)**2
Let n(m) = -70*m - 19. Let w be n(4). Let v = -291 - w. Factor 108/5*b - v - 4*b**2.
-4*(b - 5)*(5*b - 2)/5
Let j(d) be the first derivative of -1/33*d**6 - 144/55*d**5 + 0*d**2 + 0*d**3 + 282 + 0*d - 648/11*d**4. What is y in j(y) = 0?
-36, 0
Let z(l) be the third derivative of l**6/2160 + l**5/120 - 7*l**4/144 - 4*l**3 + 8*l**2 + 3*l. Let h(p) be the first derivative of z(p). Factor h(u).
(u - 1)*(u + 7)/6
Let v = -283203 + 566481/2. Factor -3/2*n**2 + 0 + v*n.
-3*n*(n - 25)/2
Let u(n) = n**2 - 2*n + 16. Let g be u(0). Suppose 0 = -5*f + 2*k + 5, -2*f - k + g = k. Factor -10*s**f - 8*s - 24*s**2 - 6*s**3 + 56*s**2 + 2*s**3.
-2*s*(s - 2)*(7*s - 2)
Suppose 0 = 3*c - d - 25, -5*d = c - 2*d - 15. Let j be 6860/(-175)*c/(-12). Factor -42/5*m - j - 3/5*m**2.
-3*(m + 7)**2/5
Let f(j) be the second derivative of j**5/90 - j**4/9 - 4*j**3/3 - 121*j**2/2 - 53*j. Let u(s) be the first derivative of f(s). Let u(p) = 0. Calculate p.
-2, 6
Let 138375/7*i**2 + 3/7*i**4 - 11718750/7 - 1119/7*i**3 - 796875*i = 0. What is i?
-2, 125
Let a(k) be the first derivative of k**5/50 + 9*k**4/40 - 7*k**3/5 - 88*k**2/5 + 192*k/5 + 1968. What is y in a(y) = 0?
-8, 1, 6
Let p(c) = -5*c**4 + 34*c**3 - 4*c**2 - 130*c. Let i(r) = 3*r**4 - 18*r**3 + 4*r**2 + 64*r. Let k(z) = -7*i(z) - 4*p(z). Find j such that k(j) = 0.
-6, 0, 2
Let o(g) = g**3 + 7*g**2 - 18*g. Let f be o(-9). Suppose 13 = 2*y + y - x, -3*y - 4*x - 7 = f. Factor -5*v**y + 60*v - 12*v - 23*v + 10 - 10*v.
-5*(v - 2)*(v + 1)**2
Let s(j) = j**3 - 6*j - 25. Let x be s(4). Let t be 0/(-5 - (3 - (x - 6))). Solve -10/3*c**2 + 0 + t*c + 5/6*c**3 = 0 for c.
0, 4
Suppose 0 = 2*b - 20 + 10. Let b + 2*h - 7*h + 783*h**2 - 788*h**2 + 5*h**3 = 0. What is h?
-1, 1
Let c(o) be the third derivative of 45/16*o**4 + 0 - 2025/8*o**3 + 2*o + 26*o**2 - 1/80*o**5. Find g such that c(g) = 0.
45
Let i = -8 - -12. Suppose 6*u - i = 14. Factor -96 - 48*z**2 + 10*z**4 - 8*z**u - 144*z + 4*z**4 + 32*z**3 + 3*z**5 + 4*z**4.
3*(z - 2)*(z + 2)**4
Let 0*n + 25/7*n**3 - 66/7*n**2 + 0 - 1/7*n**4 = 0. What is n?
0, 3, 22
Let f = -45 - -84. Let l = -29 + f. What is i in 7*i**4 + 6*i**4 + l*i**5 + 5*i**2 - 8*i**4 + 10*i - 30*i**3 = 0?
-2, -1/2, 0, 1
Factor 16/5*b - 1/5*b**2 + 57/5.
-(b - 19)*(b + 3)/5
Let i = -7051 - -112817/16. Let y(w) be the first derivative of i*w**4 + 1/4*w**2 + 1/4*w**3 + 17 + 0*w. Let y(s) = 0. Calculate s.
-2, -1, 0
Suppose -2*w = 2*l + 2*w - 1026, 5*l = -3*w + 2565. Factor 251*d**2 + 257*d**2 - d**3 + 6*d - l*d**2.
-d*(d - 1)*(d + 6)
Factor -1372 + 9484*u - 8*u**2 + 21*u**2 - 1340 + 3*u**2 + 12*u**2.
4*(u + 339)*(7*u - 2)
Let u(o) be the second derivative of -o**4/36 + 700*o**3/9 + 6696*o. Solve u(l) = 0.
0, 1400
Find o, given that -50*o**3 - 405*o + 0 - 585/2*o**2 - 5/2*o**4 = 0.
-9, -2, 0
Let n(k) = -k**2 - 26*k + 5760. Let u be n(-90). Factor 2/3*j**3 - 4/3*j**2 + u + 2/3*j.
2*j*(j - 1)**2/3
Solve 361227/4 - 1041/2*b + 3/4*b**2 = 0 for b.
347
Find v, given that 15*v**2 -