*(p + 9)/7
Let n(t) = -14*t**2 - t - 1. Let r(w) = 53*w**2 + 928*w + 1864. Let u(i) = 4*n(i) + r(i). Solve u(a) = 0 for a.
-2, 310
Solve -1174364509761 - 6502086*p**2 - 4512447684*p + 1140*p**3 + 324*p**4 - 2334*p**3 - 325*p**4 - 2970*p**3 = 0.
-1041
Let h(s) = -4*s + 1. Let b(c) = c**2 - 49*c - 35. Let l(n) = b(n) - 3*h(n). Determine u, given that l(u) = 0.
-1, 38
Let -374*r**4 - 4356/5*r - 24222/5*r**2 - 28/5*r**5 - 31948/5*r**3 + 0 = 0. What is r?
-33, -1/2, -2/7, 0
Let n = 2771 - 2771. Let v(y) be the third derivative of -1/160*y**5 + 0*y - 18*y**2 + 1/4*y**3 + n + 0*y**4. Solve v(r) = 0 for r.
-2, 2
Let a(s) be the second derivative of 3*s**6/10 - 1321*s**5/20 + 16327*s**4/4 - 12337*s**3/2 - 5329*s**2 + 54*s - 9. Factor a(h).
(h - 73)**2*(h - 1)*(9*h + 2)
Suppose 23*k - 24*k + 5 = 0. Let z(m) = -12*m**2 - 14*m - 2. Let i(v) = 10*v**2 + 14*v + 4. Let a(r) = k*i(r) + 4*z(r). Factor a(y).
2*(y + 1)*(y + 6)
Let b(w) be the first derivative of 21 + 16/5*w - 2/15*w**3 + 7/5*w**2. Determine k so that b(k) = 0.
-1, 8
Let f be 7*3 + (-9)/(4 - 13). Suppose 28*d = 62 + f. Let -2/3*w - 2/3*w**2 + 2/3*w**d + 2/3*w**4 + 0 = 0. What is w?
-1, 0, 1
Suppose 95 = -8*k - 161. Let d be k/(-5) + 14/(-35). Determine f, given that d*f**3 - f**3 - 15*f**3 - 2*f**4 = 0.
-5, 0
Let p(w) = -w**3 - 24*w**2 + 632*w + 133. Let q be p(16). Let -8/3*u**2 + 68/3*u**4 + 38/3*u**3 + 0 + 10*u**q - 8/3*u = 0. What is u?
-1, -2/3, 0, 2/5
Let m(l) = -27*l**3 + 1208*l**2 - 75623*l - 11. Let v(d) = 5*d**3 - 242*d**2 + 15125*d + 2. Let f(s) = 10*m(s) + 55*v(s). What is x in f(x) = 0?
0, 123
Factor 13*g**2 + 4*g**4 - 8394*g - 4*g**2 - 10 + 9 + 8393*g - 11*g**3.
(g - 1)**3*(4*g + 1)
Let a(t) = 8*t**2 - 9*t - 6*t**3 - 2*t**2 + 4*t + 5*t**3. Let h be a(5). Factor -4/5*i**4 + 8/5*i**3 + h + 0*i - 4/5*i**2.
-4*i**2*(i - 1)**2/5
Let u(d) be the third derivative of 0*d + 5/2*d**3 - 1/12*d**6 + 1/42*d**7 + 0 - 49*d**2 + 5/12*d**4 - 1/3*d**5. Suppose u(j) = 0. What is j?
-1, 1, 3
Let h(n) be the first derivative of -7*n**2 + 3*n**4 - 4/3*n**3 - 42 - 6*n + 2*n**5 + 1/3*n**6. Determine x so that h(x) = 0.
-3, -1, 1
Suppose -1 = -7*a + 20. Suppose -2*l + 5 + a = 0. Let 8*d**5 - 3*d**5 - 71*d**3 + 10*d**2 + 5*d - 5*d**l - 1 + 61*d**3 - 4 = 0. What is d?
-1, 1
Let d(z) be the third derivative of -z**5/210 - 67*z**4/42 - 19*z**3/3 - 150*z**2 + 7*z. Determine v so that d(v) = 0.
-133, -1
Let r(s) be the third derivative of s**6/3060 + 13*s**5/255 + 169*s**4/51 - 25*s**3/3 - 12*s**2 - 5. Let h(u) be the first derivative of r(u). Solve h(c) = 0.
-26
Suppose 0 = -z + 2*q + 8, 5*q - 14 = -4*z - 21. Let n(m) be the first derivative of 0*m**z + 14 + 0*m + 1/3*m**4 + 4/9*m**3. Let n(i) = 0. Calculate i.
-1, 0
Let o(s) be the first derivative of -9*s**3 - 9/2*s**4 - 14 + 3/5*s**5 + 21*s**2 + 0*s. Factor o(j).
3*j*(j - 7)*(j - 1)*(j + 2)
Factor -970/3 - 2/3*k**2 + 324*k.
-2*(k - 485)*(k - 1)/3
Suppose 0 = -5*x + 10*x + 52*x. Let o(q) be the third derivative of 0*q**4 + 3*q**2 + x*q + 1/80*q**6 + 0 - 1/40*q**5 + 0*q**3. Factor o(c).
3*c**2*(c - 1)/2
Let w(v) = -14*v + 863. Let f be w(58). Suppose 3*s + 4*u - 503 = 0, -65 = 3*s + 3*u - 569. Factor 88*b**2 - s*b**2 + 40 + f*b**2 + 25*b**3 - 5*b**4 - 20*b.
-5*(b - 2)**3*(b + 1)
Let t(u) be the second derivative of -u**6/75 - u**5/150 + u**4/15 + u**3/15 + 17*u**2 + 16*u. Let f(d) be the first derivative of t(d). Factor f(i).
-2*(i - 1)*(i + 1)*(4*i + 1)/5
Suppose -2*x - 24*x = -5*x. Let p(n) be the third derivative of 2*n**2 + 0 + 0*n + x*n**3 + 1/8*n**6 + 0*n**4 + 1/6*n**5. Factor p(v).
5*v**2*(3*v + 2)
Let y be (-5)/(-4) - 1/((-64)/(-11984)). Let c = y + 2074/11. Determine r, given that -46/11*r**2 - 6/11*r**4 + c*r**3 + 32/11*r - 8/11 = 0.
2/3, 1, 2
Suppose -24 = -4*s - 5*i + i, -2*s = 3*i - 12. Let z be (1 - 5)*(-2)/4. Factor 9 + 2*d + 0*d - 3*d**z + s*d - 2*d.
-3*(d - 3)*(d + 1)
Let v(t) be the third derivative of 2*t**2 - 1/120*t**5 + 0 + 1/16*t**3 - 121*t + 11/192*t**4. Factor v(n).
-(n - 3)*(4*n + 1)/8
Let c(q) be the second derivative of q**4/12 + 13*q**3/6 + 18*q**2 + 2234*q. Factor c(u).
(u + 4)*(u + 9)
Let y(w) be the first derivative of 163/6*w**3 + 39/4*w**2 + w + 63/4*w**4 + 199. Factor y(v).
(v + 1)*(9*v + 2)*(14*v + 1)/2
Let w(y) = -4*y**3 + 17*y**2 + 17*y - 27. Let h(n) = -n**3 + n**2 + 1. Let z = 65 + -64. Let t(g) = z*w(g) - 3*h(g). Determine i so that t(i) = 0.
-2, 1, 15
Factor 76*c**2 + 57*c**2 - 214*c**2 + 1050 + 79*c**2 - 6*c - 2*c.
-2*(c - 21)*(c + 25)
Let d be (-10)/80*4*294. Let a be (-1 - 12) + (-2163)/d. Let -15/7*l + a*l**3 + 0 + 57/7*l**2 = 0. Calculate l.
-5, 0, 1/4
Let y(a) = 96*a**3 + 5178*a**2 - 302760*a + 5853381. Let c(p) = -9*p**3 - 518*p**2 + 30276*p - 585338. Let m(f) = 21*c(f) + 2*y(f). Suppose m(g) = 0. What is g?
58
Let d(w) = -15*w - 102. Let i be d(-7). Factor -163 + 70*r - 17*r + 19*r - i*r**2 - 269.
-3*(r - 12)**2
Suppose -9 = 13*k + 17. Let y be k + ((-25)/10 - 51/(-6)). Factor -4*o**3 - 2*o**2 - 8 + 2/3*o**y + 40/3*o.
2*(o - 6)*(o - 1)**2*(o + 2)/3
Let v(q) be the third derivative of -q**7/420 - q**6/90 + q**5/60 + q**4/6 - 23*q**3/6 - 36*q**2 - 1. Let p(i) be the first derivative of v(i). Factor p(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let i(s) be the second derivative of -5*s**4/12 + 10*s**3/3 - 10*s**2 - 2*s - 372. Factor i(v).
-5*(v - 2)**2
Let o(m) be the third derivative of -m**6/600 + m**5/75 - m**4/30 + 1447*m**2. Suppose o(d) = 0. Calculate d.
0, 2
Let l(u) be the second derivative of u**6/135 + 7*u**5/45 - 115*u**4/54 + 100*u**3/27 - 7*u - 116. Factor l(d).
2*d*(d - 5)*(d - 1)*(d + 20)/9
Let s = -439 + 479. Let y = s + -38. Find b such that -16/7*b**y - 2/7*b**3 - 32/7*b + 0 = 0.
-4, 0
Suppose 25*f + 180 = 60*f - 25*f. Let g(b) be the second derivative of -f*b + 8/9*b**3 + 1/36*b**4 + 0 + 32/3*b**2. Let g(k) = 0. Calculate k.
-8
Let t(i) = 3*i**5 - 14*i**4 - 28*i**3 + 217*i**2 + 428*i. Let j(q) = q**5 + 8*q**3 + q**2 - 4*q. Let n(g) = j(g) - t(g). Solve n(f) = 0 for f.
-3, -2, 0, 6
Let f(n) be the first derivative of 11*n**6/20 + n**5/15 - n**4/3 + 98*n**3/3 - 80. Let j(o) be the third derivative of f(o). Determine z, given that j(z) = 0.
-2/9, 2/11
Let s(n) = -n**3 + 53*n**2 - 681*n - 20. Let z be s(22). Solve 8 + 2/5*i**z + 42/5*i = 0 for i.
-20, -1
Let r(m) be the first derivative of 2*m**5/45 + 3*m**4/2 + 98*m**3/27 - 3*m**2 - 100*m/9 - 1949. What is q in r(q) = 0?
-25, -2, -1, 1
Let l(r) be the third derivative of 0 + 0*r**3 + 0*r - 11/270*r**5 - 7/180*r**6 + 1/18*r**4 + 1/504*r**8 + 6*r**2 - 1/945*r**7. Find v such that l(v) = 0.
-2, -1, 0, 1/3, 3
What is u in 17/5*u**3 + 1/5*u**5 + 6/5*u + 17/5*u**2 + 7/5*u**4 + 0 = 0?
-3, -2, -1, 0
Let j(d) be the second derivative of d**4/60 - d**3/6 + 2*d**2/5 + d + 736. Solve j(q) = 0.
1, 4
Factor 212/15 - 2/15*w**2 - 34/5*w.
-2*(w - 2)*(w + 53)/15
Let f = -245731/4 + 61433. Suppose f*v**2 + 0 - 3*v = 0. Calculate v.
0, 12
Let u(y) be the third derivative of y**5/90 - 3*y**4/4 - 238*y**3/9 - 144*y**2 - 9. Factor u(i).
2*(i - 34)*(i + 7)/3
Let z(d) = 8*d**2 - 3524*d - 3532. Let v(c) = -5*c**2 + 2350*c + 2355. Let q(u) = -7*v(u) - 5*z(u). Factor q(p).
-5*(p - 235)*(p + 1)
Let k(c) = -c**3 - c**2 + c + 4. Let j be k(-2). Suppose -h - 12 = -5*a, -j*a + 7*a - 3*h - 8 = 0. Solve -27/4*b + 9/2*b**a + 0 - 3/4*b**3 = 0 for b.
0, 3
Let y = -239 + 241. Solve -27*u**4 - 114*u**2 - 5*u**5 + u + 124*u**y + 17*u**4 + 4*u = 0 for u.
-1, 0, 1
Let u be -2 + (1/6 + (-90)/(-90))*3. Find q such that 3/8*q**3 + 15/4*q**4 + 3 - u*q + 9/8*q**5 - 27/4*q**2 = 0.
-2, -1, 2/3, 1
Solve -3037*j - 10784*j + 4933*j + 456 - 78*j**2 = 0.
-114, 2/39
Suppose 132*z - 12 = 135*z. Let q be 73/108 + z/(-54). Factor q*a**5 - 15/4*a**3 + 3/4*a**2 + 6*a - 3/4*a**4 + 3.
3*(a - 2)**2*(a + 1)**3/4
Let c(w) be the first derivative of -405*w**5/4 + 45*w**4/4 - w**3/2 - w**2 + 21*w - 22. Let n(s) be the second derivative of c(s). Factor n(j).
-3*(45*j - 1)**2
Suppose 82*m = 90*m - 880. Factor -5*a**3 - 25*a**2 - 35*a**2 + 5*a - m*a - 50.
-5*(a + 1)**2*(a + 10)
Let c**4 + 2323*c**3 + 16*c**4 - c**4 - 2309*c**3 + 2*c**5 = 0. What is c?
-7, -1, 0
Determine v, given that 680*v + 2532/5*v**2 + 1136/5 - 18/5*v**3 = 0.
-2/3, 142
Suppose 2*i + h = 117, -4*h + 79 = 2*i - 29. Let u = 182/3 - i. Factor 2/3*m**3 - u + 2/