)/5
Factor -365502*g**2 - 3860 + 320*g + 3538*g + 365504*g**2.
2*(g - 1)*(g + 1930)
What is i in -30*i - 306 + 79*i - 5*i**2 + 137*i - 1514 + 109*i = 0?
7, 52
Let h(d) be the first derivative of d**5/35 - 258*d**4/7 + 88407*d**3/7 + 267289*d**2/7 - 6410. Factor h(g).
g*(g - 517)**2*(g + 2)/7
Suppose 4*m + 216 = 8*m. Let a be ((-2)/(-3))/(12/m). What is n in 6*n**5 - 16*n + 9*n**2 - 28*n**4 + 19*n**2 - 6*n**3 + 16*n**a = 0?
-1, 0, 2/3, 1, 4
Solve -4925440/7*y - 2267584/7*y**3 - 29860/7*y**4 - 5761408/7*y**2 - 100/7*y**5 - 1401856/7 = 0.
-148, -1, -4/5
Let d be ((-3040)/(-1010) + -3)*3195. Let w = 10/303 + d. Determine n so that -106*n**3 + w*n**2 - 137/3*n**4 + 0 + 50/3*n - 14/3*n**5 = 0.
-5, -2/7, 0, 1/2
Determine s so that -1620000 + 1800*s - 1/2*s**2 = 0.
1800
Let n be (141/24 + -8)*(-182)/1547. Factor n*d**2 + 9/4*d + 2.
(d + 1)*(d + 8)/4
Let g(p) = p**3 - 2. Let b(k) = 0 + 18*k**2 - 40*k**2 - 6 + 25*k**2 + 12*k**3. Let t(q) = b(q) - 3*g(q). Find w, given that t(w) = 0.
-1/3, 0
Let b(u) be the second derivative of -5*u**4/12 - 10*u**3/3 + 225*u**2/2 + 39*u + 4. Factor b(c).
-5*(c - 5)*(c + 9)
Let o(k) = -3*k**4 - 25*k**3 - 77*k**2 - 111*k - 31. Let t(c) = -2*c**4 - 13*c**3 - 39*c**2 - 59*c - 16. Let b(x) = -3*o(x) + 5*t(x). Solve b(i) = 0.
-1, 13
Let p(v) be the first derivative of v**5/20 + 11*v**4/12 + 20*v**3/3 + 24*v**2 - 55*v + 28. Let i(a) be the first derivative of p(a). Let i(b) = 0. Calculate b.
-4, -3
Let d(i) = -i**5 + 2*i**4 + 4*i**3 - 14*i**2 + 7*i. Let l(j) = j**4 - 2*j**3 + 2*j**2 + j. Let k(u) = d(u) + l(u). Factor k(w).
-w*(w - 2)**2*(w - 1)*(w + 2)
Let f(k) = -k**3 + k**2 + 7*k + 5. Let r be f(-2). Suppose 0*o - r*o = -12. Factor -6*w**o - 4/3*w + 0 - 26/3*w**2 - 40/3*w**3.
-2*w*(w + 1)**2*(9*w + 2)/3
Let p(r) = 22*r**3 - 106*r**2 + 250*r - 173. Let i(j) = -7*j**3 + 36*j**2 - 85*j + 58. Let n(g) = 7*i(g) + 2*p(g). Determine w so that n(w) = 0.
1, 3, 4
Let p(a) be the second derivative of -a**6/10 + 63*a**5/20 + 61*a**4/2 + 102*a**3 + 156*a**2 - 13*a - 45. What is o in p(o) = 0?
-2, -1, 26
Let g(c) be the second derivative of -c**4/60 - 146*c**3/5 - 95922*c**2/5 - 860*c. Suppose g(f) = 0. What is f?
-438
Suppose -4*w + 6 = -5*p, -8*w - 40 = -17*w - 2*p. Determine i so that -1/5*i**2 - w - 12/5*i = 0.
-10, -2
Let r(w) be the second derivative of -7/8*w**4 + 21/80*w**5 + 2*w + w**3 - 21 - 1/40*w**6 + 0*w**2. Solve r(t) = 0 for t.
0, 1, 2, 4
Let s be (-23*(-5)/2760*132)/((-22)/(-8)). Factor -18/7*w + 2/7*w**s + 16/7.
2*(w - 8)*(w - 1)/7
Determine c, given that -39*c**3 + 365*c**2 - 45*c**2 + 44*c**3 - 93 - 5*c - 142 - 85 = 0.
-64, -1, 1
Suppose 117 = -62*m + 23*m. Let q be m/((9/(-15))/((-2)/(-5))). Suppose 25/9*b**q + 4/9 + 20/9*b = 0. What is b?
-2/5
Let g be (-6)/17*(-23)/69*(-13 - 126/(-9)). What is k in -2/17*k**2 - g*k**5 + 2/17*k**4 + 0*k + 0 + 2/17*k**3 = 0?
-1, 0, 1
Let h(c) = -c**2 - 12*c - 33. Let f be h(-7). Factor 120 + 139*a**2 + 40*a - 143*a**f + 12*a.
-4*(a - 15)*(a + 2)
Suppose 14 = -0*u - u. Let w be 3*u/63*3*-2. Solve w*z + 12*z**2 - 23*z**2 + 13*z**2 = 0.
-2, 0
Determine n, given that 532/5*n**3 - 1976/5*n + 1352/5 - 6/5*n**2 + 98/5*n**4 = 0.
-26/7, 1
Suppose -998*h + 994*h + 8 = 0. Let 4*n**3 - 2*n**4 - 2*n**5 - 3 - 14*n**h + 18*n**2 - 2*n - 1 + 2 = 0. Calculate n.
-1, 1
Let f(s) be the second derivative of 1/210*s**7 + 0*s**2 + 4*s + 0*s**3 + 3/25*s**5 + 13/150*s**6 + 0*s**4 - 9. Factor f(b).
b**3*(b + 1)*(b + 12)/5
Let a = -277 + 307. Suppose 6*y + u = 3*y + 1, 5*y = 4*u + a. Factor -3/5*p**y - 9/5 - 12/5*p.
-3*(p + 1)*(p + 3)/5
Let n(g) be the first derivative of -19*g**6/4 + 176*g**5/5 - 285*g**4/4 + 50*g**3 - 13*g**2/4 - 6*g - 4700. Let n(t) = 0. What is t?
-3/19, 1/3, 1, 4
Factor -28/15*b - 2 + 2/15*b**2.
2*(b - 15)*(b + 1)/15
Let w(t) be the first derivative of t**3/3 - 19*t**2/2 + 22*t - 124. Let p be w(18). Factor 1/5*n**p - 4/5*n**3 + 0*n + 4/5*n**2 + 0.
n**2*(n - 2)**2/5
Let b = -1366 - 420. Let l be 7 + (b/(-30) - -4). Find p such that l*p**2 - 184/15*p + 8/15 = 0.
2/23
Let c(f) = -2*f + 15. Let g be c(6). Let d = 5912 + -5909. Factor -21/2*z**5 - 3/2*z**2 + d*z - 57/2*z**4 + 0 - 45/2*z**g.
-3*z*(z + 1)**3*(7*z - 2)/2
Let f(m) be the first derivative of -3*m**4/20 - 4*m**3 - 309*m**2/10 - 468*m/5 + 3707. Factor f(x).
-3*(x + 3)*(x + 4)*(x + 13)/5
Let j(w) be the first derivative of -w**4/5 + 32*w**2/5 - 2809. Let j(c) = 0. Calculate c.
-4, 0, 4
Factor 1/2*p**4 + 0 + 72*p**2 - 70*p - 39/2*p**3.
p*(p - 35)*(p - 2)**2/2
Let c(i) be the second derivative of i**5/90 - 59*i**4/54 - 62*i**3/27 + 40*i**2/3 + 2*i + 79. What is s in c(s) = 0?
-2, 1, 60
Suppose -4/9*o**3 - 4/3*o + 4 - 20/9*o**2 = 0. Calculate o.
-3, 1
Suppose -752*p**2 - p**4 - 2*p - 4*p**3 + 6*p**3 - 4*p**4 + 757*p**2 = 0. What is p?
-1, 0, 2/5, 1
Let -k**2 - 163*k - 193*k - 180*k - 71824 = 0. What is k?
-268
Let j(d) be the second derivative of -d**6/120 - 329*d**5/40 - 36299*d**4/16 - 26978*d**3/3 - 13448*d**2 - 617*d - 1. Factor j(r).
-(r + 1)**2*(r + 328)**2/4
Let y(g) = -3*g**3 + 5829*g**2 - 2834349*g + 2828642. Let a(v) = -v**3 + 1943*v**2 - 944783*v + 942883. Let k(s) = -17*a(s) + 6*y(s). Factor k(x).
-(x - 971)**2*(x - 1)
What is t in 96100/9 + 620/9*t + 1/9*t**2 = 0?
-310
Let k = -165 - -156. Let n be (-4 + 0)*(64/k + 7). Let 0 - n*f + 2/9*f**2 = 0. What is f?
0, 2
Suppose 0 = i + d, i - 3*d + 10 = 6*i. Suppose -2*u = -3*q + 8, -u - 4 = q - i. Factor 1/4*l**3 + 3 - 2*l - 1/4*l**q.
(l - 2)**2*(l + 3)/4
Suppose 4*s + b - 10 = 0, 14*s - 18*s - 4*b + 16 = 0. Let w = -4267 + 21367/5. Let -w - 24*i - 28/5*i**s = 0. Calculate i.
-4, -2/7
Factor 1/7*v**5 - v**4 + 12/7*v**3 + 4/7*v**2 + 0 - 16/7*v.
v*(v - 4)*(v - 2)**2*(v + 1)/7
Suppose -7*c - 10 = 5*b, 4*b + 3 = -3*c - 5. Let t be c/(4/(-18)*-9). Let 2/3*d**4 + 4/3*d - 2*d**2 + t + 0*d**3 = 0. Calculate d.
-2, 0, 1
Let 24 - 244/5*t - 1796/5*t**2 + 4388/5*t**3 - 84/5*t**4 - 144/5*t**5 = 0. What is t?
-6, -1/4, 1/3, 5
Let z(x) be the third derivative of x**5/30 + 19*x**4/12 + x**3/3 + 51*x**2 - 1. Let q be z(-19). Factor -1/2*r**q + 2*r - 3/2.
-(r - 3)*(r - 1)/2
Let x be (8 + 13)/7 + (66/(-42) - 0). Factor 12/7 + x*u + 2/7*u**2.
2*(u + 2)*(u + 3)/7
Let p(o) be the second derivative of -o**7/210 + o**5/20 - o**4/12 - 283*o**2/2 - o - 259. Let n(b) be the first derivative of p(b). Solve n(s) = 0.
-2, 0, 1
Determine g, given that -10935/2 + 891*g**2 - 63/2*g**4 - 9477/2*g + 129*g**3 + 3/2*g**5 = 0.
-5, -1, 9
Let j = 1641 + -955. Let q = 688 - j. Solve 1/8*y**5 + 1/2*y**3 - 5/8*y + 0 - 3/4*y**q + 3/4*y**4 = 0 for y.
-5, -1, 0, 1
Let t be 8*(4 + -2 + 6/(-6)). Find m, given that m**4 - 20*m**2 + t*m**4 - 15*m**3 - 4*m**4 = 0.
-1, 0, 4
Let m(x) = -x**2 + 8*x + 7. Let c be m(8). Solve 8*j**5 - j + 5*j**2 - 5*j**2 - c*j + 16*j**2 + 54*j**3 + 38*j**4 = 0 for j.
-2, -1, 0, 1/4
Let w(l) = 6*l - 46. Let s be w(8). Factor -15 + 44*j**2 + j + 2*j**2 - 45*j**s + 3.
(j - 3)*(j + 4)
What is r in -280/17 + 66/17*r - 2/17*r**2 = 0?
5, 28
Factor -359*s - 4*s**2 + 216 + 113*s + 0*s**2 + 8*s**2 + 162*s.
4*(s - 18)*(s - 3)
Let s(c) be the first derivative of c**6/33 - 6*c**5/55 + 3217. Factor s(y).
2*y**4*(y - 3)/11
Let w(n) be the second derivative of 1/90*n**5 - 122*n + 0 + 0*n**3 + 1/63*n**7 - 1/27*n**6 + 0*n**2 + 1/54*n**4. Factor w(i).
2*i**2*(i - 1)**2*(3*i + 1)/9
Let a(g) = -2*g**3 - 351*g**2 - 5117*g - 206. Let k be a(-16). Factor 2/7*u**3 + 0 - 10/7*u**k + 12/7*u.
2*u*(u - 3)*(u - 2)/7
Let z(t) be the third derivative of -t**8/504 + 7*t**7/45 + 7*t**6/12 - 149*t**5/90 - 52*t**4/9 + 68*t**3/3 - 3*t**2 - 226. Determine d so that z(d) = 0.
-2, 1, 51
Let w(k) = 6*k**3 - 20*k**2 + 12*k + 4. Let y = 63 + -61. Let l(m) = 0*m**2 - m**2 - 5 + 2*m**y + m + 4. Let p(s) = -4*l(s) + 2*w(s). Factor p(v).
4*(v - 3)*(v - 1)*(3*v + 1)
Let v = -8232 + 8234. Let m(r) = -3*r - 9. Let p be m(-4). Factor 0*y + 0 - 6/5*y**p - 3/5*y**4 - 3/5*y**v.
-3*y**2*(y + 1)**2/5
Suppose -14*q + 8212 = 8156. Let j(k) be the second derivative of 22*k + 0 + 0*k**2 + 0*k**5 - 1/5*k**6 + 0*k**q + 3/14*k**7 + 0*k**3. Factor j(t).
3*t**4*(3*t - 2)
Let v(a) be the first derivative of 8/27*a**3 + 4/9*a**2 + 1/18*a**4 + 0*a - 89. Solve v(k) = 0 for k.
-2, 0
Let q be (12/(-15))/2*2698/6. Let v = q - -180. Suppose 4/15*m**2 + 0 - v*m**5 - 2/3*m