+ h - 5939. Suppose i(w) = 0. What is w?
-1, -3/17, 4/5, 1
Let f(r) be the first derivative of r**5 + 5*r**4 - 65*r**3 + 135*r**2 - 8706. Determine x so that f(x) = 0.
-9, 0, 2, 3
Let d(h) be the third derivative of 2*h**7/105 + 13*h**6/6 + 21*h**5/5 - 65*h**4/6 - 128*h**3/3 + 5*h**2 + 76. Factor d(y).
4*(y - 1)*(y + 1)**2*(y + 64)
Let k(n) be the third derivative of n**8/224 - n**7/140 - 17*n**6/80 - 3*n**5/8 - 19*n**2 - 12. Determine s, given that k(s) = 0.
-3, -1, 0, 5
Let m be (-68 + 68)*(2 - 0)*(28/(-8) + 4). Find r, given that 8/11*r**2 + 2/11*r**3 + m + 6/11*r = 0.
-3, -1, 0
Let n(p) be the second derivative of -209*p**5/5 - 2*p**4/3 - 2806*p. Factor n(i).
-4*i**2*(209*i + 2)
Let g(m) be the second derivative of -1/42*m**4 + 0*m**2 - 1/3*m**3 + 1/10*m**5 + 8*m + 1/105*m**6 - 1. Find u such that g(u) = 0.
-7, -1, 0, 1
Factor -1/3*z**2 - 14/3*z - 16.
-(z + 6)*(z + 8)/3
Let z(b) = 6*b**2 - 48*b - 4. Let x be z(8). Let s be 17 + x + -8 + 7. Solve -4/3*m**2 - s*m + 40/3 = 0.
-10, 1
Let 0 + 11881*l + 110*l**3 - 1/2*l**4 - 12317/2*l**2 = 0. What is l?
0, 2, 109
Let v be 469490/(-11935) + 40 + 6/93. Determine p so that 0 + 0*p + 0*p**2 + v*p**3 + 2/11*p**4 = 0.
-4, 0
Let l(a) = 13*a - 388. Let x be l(30). Factor -1064 + 19*j**2 + 28*j + 1032 - 4*j**4 + 17*j**x - 28*j**3.
-4*(j - 1)**2*(j + 1)*(j + 8)
Suppose v + 3*l - 14 = 0, -4*l = 3*v - 53 - 9. Suppose r - 13 = v. Find p, given that r*p**2 + 11*p**3 - 62 + p**3 + 50 - 39*p = 0.
-4, -1/4, 1
Suppose 5*j + 2*o = 212, -5*j + 2*o = -2*o - 206. Suppose j*m = 6*m. Factor 3/7 - 3/7*g**2 + m*g.
-3*(g - 1)*(g + 1)/7
Let g(y) = -y**3 - 4*y**2 - 7*y - 24. Let p be g(-4). Suppose p = 3921*q - 3919*q. What is u in 14/3*u**3 + 0*u + 4/3*u**q + 0 = 0?
-2/7, 0
Let k(i) be the second derivative of 0 + 11/6*i**3 + 7/6*i**4 - 8*i + 2*i**2. Let n(x) = 14*x**2 + 12*x + 4. Let l(o) = 6*k(o) - 7*n(o). Factor l(z).
-2*(z + 1)*(7*z + 2)
Suppose -247 = -18*m - 152 + 445. Factor 0 + 21/2*a**4 + 12*a + 27*a**3 + m*a**2 + 3/2*a**5.
3*a*(a + 1)*(a + 2)**3/2
Determine v so that 45 - 135 + 48 + 42 + 4*v**2 + 1122*v**3 = 0.
-2/561, 0
Let j be ((-2)/9)/((-140)/(-12)). Let o = 11/15 + j. Let 6/7*l**2 - 1/7*l - 1/7 + 3/7*l**5 - 2/7*l**3 - o*l**4 = 0. What is l?
-1, -1/3, 1
Let a be ((-4)/(-12))/((-1)/9*-1). Suppose 89*h - 95*h = -18. Let 4*c**h - 14*c**5 + a*c**4 - 5*c**4 + 12*c**5 = 0. Calculate c.
-2, 0, 1
Let j be ((-268)/(-201))/((-40)/186) - -8. Let -j*x**3 + 9/5 - 6/5*x**4 + 9/5*x**2 + 21/5*x = 0. Calculate x.
-1, 3/2
Let r(n) be the first derivative of -2*n**5/115 + 9*n**4/23 - 64*n**3/23 + 128*n**2/23 - 1378. Factor r(s).
-2*s*(s - 8)**2*(s - 2)/23
Let t(h) = 2*h**3 - 2*h + 3. Let w(q) = 58*q**3 + 9354*q**2 + 14582830*q + 7578239842. Let b(u) = -28*t(u) + w(u). Factor b(l).
2*(l + 1559)**3
Let b(v) be the third derivative of v**5/60 + 15*v**4/8 + 217*v**3/3 + 41*v**2 + 3*v - 2. Factor b(s).
(s + 14)*(s + 31)
Let z(m) = -2*m**2 - 166*m - 322. Let v be z(-81). Solve 5/7*s**v + 13/7*s - 1/7*s**3 + 1 = 0.
-1, 7
Suppose 4*r - 7*r = -12. Let v be 7 + (-1)/((-21)/(-5) - r). Let -2/13*d**4 + 14/13*d**3 + v*d - 30/13*d**2 - 8/13 = 0. What is d?
1, 4
Suppose 4*s + 8 = -4. Let t(w) = -w**5 - w**4 - w**3 - w**2 - w - 1. Let i(g) = -2*g**5 + g**4 + 3*g**3 + g**2 - 2*g - 3. Let o(j) = s*t(j) + i(j). Factor o(m).
m*(m + 1)**4
Let k(v) = 44*v**2 - 5727*v + 1394134. Let o(n) = 7*n**2 - 955*n + 232354. Let t(z) = -6*k(z) + 38*o(z). Factor t(u).
2*(u - 482)**2
Let i(x) = x**2 + 3*x - 1. Let o be i(-4). Let v be -3 + 1 - (-71932)/245. Factor -40*t - 756/5*t**2 - 16/5 - 486/5*t**o + v*t**4.
2*(t - 1)*(9*t + 2)**3/5
Solve -111*g - 69*g + 13440*g**2 - 13438*g**2 = 0 for g.
0, 90
Let j = -4105465/5706 + -1/2853. Let g = j + 720. Suppose 50 + g*a**2 + 10*a = 0. Calculate a.
-10
Let q be 20/(-15)*81/(-6). Suppose 0 = q*v - 12*v - 18. Suppose -58*o**2 + o**4 + 61*o**2 - o + o - 4*o**v = 0. What is o?
0, 1, 3
Let o(h) be the third derivative of h**5/150 + 244*h**4/15 + 65*h**3 - 3310*h**2 + 2*h - 2. Factor o(l).
2*(l + 1)*(l + 975)/5
Suppose -639*z + 1032 = -123*z. Factor 1/3*v**3 + 2/3 - 1/3*v - 2/3*v**z.
(v - 2)*(v - 1)*(v + 1)/3
Let l(c) = c**5 - c**4 + c - 1. Suppose 3*x - 25 = 8*x. Let s(z) = -5*z**5 + 8*z**4 - 4*z**3 - 2*z**2 + z + 2. Let j(y) = x*s(y) - 20*l(y). Solve j(t) = 0.
-1, 1, 2
Let j be (1572/655)/(((-2)/20)/(-1)). Let 54*u - 9*u - j - 13 + 6 - 39 - 5*u**2 = 0. What is u?
2, 7
Let p(q) = q**2 + 926*q - 11251. Let s be p(12). Let 0*n + 0 - 3/2*n**4 + 0*n**2 - 1/2*n**5 + s*n**3 = 0. What is n?
-5, 0, 2
Let m(y) = -26*y + 12. Let t be m(4). Let d be t/(-9) - (-3 - (-58)/18). Factor 5*x**4 - 515 - 5*x**2 - d*x**3 + 515 + 10*x.
5*x*(x - 2)*(x - 1)*(x + 1)
Let q(t) be the first derivative of t**3/6 - 29*t**2/4 - 15*t + 4171. Suppose q(b) = 0. Calculate b.
-1, 30
Let a(i) be the second derivative of -i**7/42 + i**6/10 - 3*i**5/20 + i**4/12 + 3*i + 30. Solve a(r) = 0 for r.
0, 1
Determine k, given that -5*k**4 + 10*k**3 - 255*k**2 + 23*k**3 + 4860 - 59*k**3 + 1094*k + 391*k - 59*k**3 = 0.
-9, -3, 4
Let m(r) be the third derivative of -1/480*r**5 - 1/96*r**4 + 0 - 2*r**2 + 1/16*r**3 + 0*r. Let m(y) = 0. Calculate y.
-3, 1
Let o(w) = 187*w + 201. Let k be o(-1). Let z(r) be the third derivative of -5/12*r**4 - k*r**2 + 1/12*r**5 + 0 + 0*r + 5/6*r**3. Factor z(j).
5*(j - 1)**2
Let t be (1 - -2)*(-18)/(-27) + 3. Suppose 2*d = -2*r + 10, 3*d = r - t*r + 16. Factor 0*v**2 + 0 + 0*v + 6/7*v**d - 2/7*v**3 - 4/7*v**5.
-2*v**3*(v - 1)*(2*v - 1)/7
Let y(c) = 5*c**2 + 41*c - 9. Let k(v) = -44*v**2 - 368*v + 78. Let z(h) = -6*k(h) - 52*y(h). Factor z(x).
4*x*(x + 19)
Let k(h) = -16*h - 110. Let m be k(-7). Let c(q) be the first derivative of -1/10*q**5 - 13 - 1/6*q**m + 1/12*q**4 + 0*q + 1/6*q**3. Let c(a) = 0. Calculate a.
-1, 0, 2/3, 1
Solve 1/4*y**3 + 35/4*y - 37/2 + 19/2*y**2 = 0 for y.
-37, -2, 1
Let c(z) be the first derivative of z**5/20 - 9*z**4/4 + 61*z**3/3 + 180*z**2 + 400*z + 5744. Factor c(l).
(l - 20)**2*(l + 2)**2/4
Suppose -m + 25 = 26. Let x(r) = 15*r**3 - 39*r**2 - 123*r - 51. Let g(h) = -h**3 - h**2 + h. Let c(i) = m*x(i) - 18*g(i). Factor c(u).
3*(u + 1)**2*(u + 17)
Suppose 664*q**3 + 12*q**2 - 2*q**5 - 77*q - 582*q**3 - 3*q - 12*q**4 = 0. What is q?
-10, -1, 0, 1, 4
Let t be 90 + 2805/(-30) + (9 - 0). Solve 37/2*n + 1/2*n**4 + 33/2*n**2 + t*n**3 + 7 = 0 for n.
-7, -2, -1
Let b(j) be the first derivative of j**5/5 + 6*j**4 - j**3 - 35*j**2 + 48*j - 687. Factor b(y).
(y - 1)**2*(y + 2)*(y + 24)
What is j in -78/11*j + 2/11*j**3 - 108/11 - 8/11*j**2 = 0?
-3, -2, 9
Solve 2/3*j - 4/3 + 2/3*j**2 = 0 for j.
-2, 1
Factor 7822*s**2 + 7/3*s**3 + 5617952/3 + 6556512*s.
(s + 1676)**2*(7*s + 2)/3
Let m(p) be the third derivative of -7/216*p**6 + 0 + 5/24*p**4 + 50*p**2 - 1/18*p**5 + 11/3*p**3 + 0*p. Let y(q) be the first derivative of m(q). Factor y(w).
-5*(w + 1)*(7*w - 3)/3
Find l such that -2*l + 153/4 - 1/4*l**2 = 0.
-17, 9
Let d = 771934/23 - 33562. Factor -544/23*m + 130/23*m**2 - d*m**3 + 128/23.
-2*(m - 8)**2*(4*m - 1)/23
Let g = 3007 + -2990. Let y(b) be the third derivative of 0*b + g*b**2 + 1/15*b**5 + 1/3*b**3 + 0 + 1/120*b**6 + 5/24*b**4. Factor y(d).
(d + 1)**2*(d + 2)
Suppose s - 4 = -5*w - 27, -4*w - 20 = 0. Let r(o) be the first derivative of 0*o + 30 + 1/3*o**s + 4/9*o**3 + 1/6*o**4. Find m such that r(m) = 0.
-1, 0
Let x be (-429)/66 + 32 + -25. Find w such that -x*w**3 + 4/5 + 2/5*w - 3/5*w**2 - 1/10*w**4 = 0.
-2, 1
Let b(s) be the third derivative of 45*s**2 - 5/12*s**5 + 0*s**3 + 0*s + 1 + 1/42*s**7 - 1/8*s**6 - 5/12*s**4 + 5/336*s**8. Determine o, given that b(o) = 0.
-1, 0, 2
Find o such that 702/7 - 3/7*o**2 - 51/7*o = 0.
-26, 9
Let j(o) be the second derivative of o**6/240 - 7*o**5/160 - o**4/96 + 7*o**3/48 + o - 65. Factor j(w).
w*(w - 7)*(w - 1)*(w + 1)/8
Let g(y) be the second derivative of 5/9*y**3 + 29 - y**2 - 1/30*y**5 - y - 1/18*y**4. Let g(r) = 0. What is r?
-3, 1
Let p(f) be the second derivative of f**5/100 + 17*f**4/60 - 52*f**3/15 + 66*f**2/5 - 153*f - 18. Determine k so that p(k) = 0.
-22, 2, 3
Let g(q) be the first derivative of -3*q**4/8 - 729*q**3/2 - 99918*q**2 - 198744*q - 2921. Factor g(x).
-3*(x + 1)*(x + 364)**2/2
Let 1/7*a**4 + 606/7*a**2 + 2412/7*a + 53/7*a**3 + 2808/7 = 0. Calculate a.
-39,