 - 100*w**2 - 2*w**3.
-2*(w + 1)*(w + 13)*(w + 36)
Let q be 3*(-7)/693*297/(-27). Find y such that -7*y**3 + 40*y + 47/3*y**2 + q*y**5 - 48 - y**4 = 0.
-3, 1, 4
Let o(v) = 15*v - 823. Let i be o(55). Let r be ((-18)/14)/3 - 1421/(-1715). What is u in 12/5*u - r*u**i - 2 = 0?
1, 5
Let f(h) = h**3 + 3*h**2 - h - 2. Let q(a) = 25*a**3 + 35*a**2 - 190*a + 360. Let l(u) = 20*f(u) - q(u). Suppose l(y) = 0. What is y?
-5, 2, 8
Let g(f) be the second derivative of -92*f + 0 + 50*f**2 - 35/2*f**3 + 5/12*f**4. Find n such that g(n) = 0.
1, 20
Solve 150544/9 + 2/9*i**3 + 21922/9*i + 404/9*i**2 = 0.
-97, -8
Suppose -64*c + 52*c - 1764 = 0. Let v be ((-9)/(-14))/((-63)/c). Let -3/2*x**2 + v*x + 3 = 0. Calculate x.
-1, 2
Suppose -231 + 9051 + 1182*p**3 - 8695*p**2 + 1120*p**3 - 202*p**3 - 2100*p - 125*p**4 = 0. Calculate p.
-1, 1, 42/5
Let 64*u**4 + 888*u - 813*u**2 + 13*u**5 + 309*u**3 - 10*u**5 + 86*u**4 - 336 - 201*u**4 = 0. Calculate u.
1, 4, 7
Let j(d) = 5*d**4 - 16*d**3 + 15*d**2 + 12*d - 20. Let a(s) = s**4 - 2*s**3 + s - 1. Let u(q) = 12*a(q) - 3*j(q). Factor u(l).
-3*(l - 4)**2*(l - 1)*(l + 1)
Let c = -296 - -298. Let z be 3 + 2*2/12*-8. Factor 4/3 - 4/3*s + z*s**c.
(s - 2)**2/3
Let v(i) be the third derivative of 0*i**3 - 1/8*i**4 - 1/210*i**7 + 1/60*i**5 + 0 + 1/40*i**6 + 78*i**2 + 0*i. Factor v(k).
-k*(k - 3)*(k - 1)*(k + 1)
Suppose 21*b - 4*b - 23*b = 0. Let u(p) be the third derivative of b + 0*p**3 + 1/168*p**7 + 0*p - 1/48*p**5 - 1/48*p**4 - 21*p**2 + 1/240*p**6. Factor u(a).
a*(a - 1)*(a + 1)*(5*a + 2)/4
Let z(u) be the third derivative of -u**6/780 - 37*u**5/390 - 23*u**4/39 + 340*u**3/39 - 407*u**2 + 5. Determine y, given that z(y) = 0.
-34, -5, 2
Suppose -3*m + 133 = 5*k, 4*k = 14 + 6. Factor 18*f - m*f**2 - 31*f**2 + 65*f**2.
-2*f*(f - 9)
Let x = 10867/142 + -5114/71. Factor -x*s**4 + 3/4*s**5 - 15/2*s**2 + 0 + 9*s**3 + 9/4*s.
3*s*(s - 3)*(s - 1)**3/4
Suppose 20750*p + 9*p**2 + 15*p**2 - 160 - 21706*p = 0. Calculate p.
-1/6, 40
Let -2152/3 + 2153/3*j - 1/3*j**2 = 0. Calculate j.
1, 2152
Let n(b) be the third derivative of b**6/360 - b**5/45 - 191*b**4/72 + 65*b**3/3 + 4*b**2 + b - 20. Let n(l) = 0. What is l?
-13, 2, 15
Let h(f) be the second derivative of -11/8*f**4 + 0 - 21/2*f**3 + 6*f**2 - 24*f. Determine o so that h(o) = 0.
-4, 2/11
What is m in 379*m + 2*m**2 + 132*m**3 - 216*m**3 - 2 - 295*m**3 = 0?
-1, 2/379, 1
Suppose p + 4*p = 5. Let b(s) = 4*s**3 - s**2 + s + 1. Let d be b(p). Factor -416*f - d*f**3 - 894*f + 130*f + 120*f**2 + 220*f + 2560.
-5*(f - 8)**3
Factor -171/8*q**2 - 7225/8 + 1/8*q**3 + 7395/8*q.
(q - 85)**2*(q - 1)/8
Let f(v) be the first derivative of v**4/14 - 158*v**3/21 + 303*v**2/7 - 450*v/7 + 2223. Factor f(s).
2*(s - 75)*(s - 3)*(s - 1)/7
Let b be 3/((-20)/480*-324). Factor -18*c - 22/9*c**3 + 10*c**2 + b*c**4 + 12.
2*(c - 3)**3*(c - 2)/9
Let i be 5 + ((-40)/(-60))/((-6)/9). Let r(d) be the third derivative of 5/12*d**5 + 5/18*d**3 + 7*d**2 + 35/72*d**i + 1/8*d**6 + 0 + 0*d. Factor r(j).
5*(j + 1)*(3*j + 1)**2/3
Factor 136*r - 81*r**3 + 64*r + 161*r**3 - 85*r**3 - 15*r**2.
-5*r*(r - 5)*(r + 8)
Let q be 4/7*(-7)/3*-3. Factor -14*r + 23*r + q*r**4 - 12*r**2 - r.
4*r*(r - 1)**2*(r + 2)
Suppose -24*k - 43 = -91. Let o(q) be the first derivative of 14/5*q**k + 12/5*q + 4/3*q**3 + 3 + 1/5*q**4. Let o(s) = 0. Calculate s.
-3, -1
Let l(g) be the second derivative of -g**5/40 + 9*g**4/2 - 243*g**3 + 2*g + 1432. Solve l(k) = 0 for k.
0, 54
Let k(l) be the second derivative of 0*l**2 + 2*l**3 + 0 + 1/14*l**7 + 7/10*l**6 + 13/4*l**4 + 9/4*l**5 - 130*l. Suppose k(o) = 0. What is o?
-4, -1, 0
Suppose 20*b + 20*b = -146 + 226. Let 8*x - 46/5*x**b + 24/5 + 2*x**3 = 0. What is x?
-2/5, 2, 3
Suppose 2*i**3 - 52*i**2 + 293*i**2 + 64*i + 91*i + 453*i + 67*i**2 = 0. Calculate i.
-152, -2, 0
Let z be (3 + (-8 - -1))*(324/18 + -45). Let y(s) be the first derivative of 97*s**3 + 192/5*s**5 - 27 - 27*s**2 + 3*s - z*s**4. Suppose y(r) = 0. What is r?
1/8, 1
Let d(h) = -5*h**2 + 9*h - 12. Let j be d(4). Let v(z) = z + 56. Let b be v(j). Find p such that 0 - 1/5*p**2 + 1/10*p**5 + 0*p**4 - 3/10*p**3 + b*p = 0.
-1, 0, 2
Let i(a) = -7*a**3 - 58*a**2 - 213*a - 144. Let b(y) = -8*y**3 - 56*y**2 - 216*y - 144. Let x(k) = -3*b(k) + 4*i(k). Find h, given that x(h) = 0.
-12, -3, -1
Let p(z) be the second derivative of -z**6/35 - 5*z**5/14 - 17*z**4/14 + z**3/21 + 30*z**2/7 + 1331*z. Solve p(w) = 0 for w.
-5, -3, -1, 2/3
Let p(x) be the first derivative of 10*x**2 - 6*x**4 + 4/5*x**5 + 8/3*x**3 - 12*x + 2/3*x**6 - 77. Solve p(k) = 0.
-3, -1, 1
Let h(x) be the second derivative of 0*x**2 + 8/5*x**3 + 3 + 41*x - 1/15*x**4. Factor h(z).
-4*z*(z - 12)/5
Let u(q) be the first derivative of -188 + 10/3*q**3 + 5/4*q**4 + 0*q + 5/2*q**2. Factor u(s).
5*s*(s + 1)**2
Let y = -44 + 29. Let g = y + 18. Find m, given that 10 - 7*m + 5*m**g + 32*m + 15*m**2 + 5*m**2 = 0.
-2, -1
Let s be (-16523)/(-164) + -44 - 48. Suppose 15/4 + s*j + 5/2*j**2 = 0. Calculate j.
-3, -1/2
Let q be 889595/1225 - ((-34)/30 - -1). Let d = q + -725. Find n, given that -4/3*n**5 - 8*n**3 - d*n + 16/3*n**4 + 0 + 16/3*n**2 = 0.
0, 1
Let p(y) be the third derivative of y**6/8 + 361*y**5/60 + 3*y**4/4 - 24*y**3 - y**2 + 486. Factor p(f).
(f + 24)*(3*f + 2)*(5*f - 3)
Let c(f) be the first derivative of 3*f**4/20 - 89*f**3/5 + 3036*f**2/5 - 5808*f/5 - 1888. Suppose c(p) = 0. Calculate p.
1, 44
Solve -9/2*w**2 + 555*w + 1512 = 0.
-8/3, 126
Let f be (84/(-35) - -2)*185. Let x = f - -78. Let 2/11*j - 8/11*j**5 + 10/11*j**2 - 2/11*j**3 - 2/11 - 16/11*j**x = 0. Calculate j.
-1, 1/2
Let x(i) be the second derivative of 3*i**5/2 - 89*i**4/6 - 8*i**3/3 + 12*i**2 - 1750*i. Factor x(u).
2*(u - 6)*(3*u - 1)*(5*u + 2)
Let c be 5*(36/15)/(-3) - -6. Factor 3*n**c + 14*n**3 - 8*n**3 - 10 - n**3 - 15*n - 3*n**2.
5*(n - 2)*(n + 1)**2
Factor 2/11*g**2 + 0 - 1046/11*g.
2*g*(g - 523)/11
Let -114*b**3 + 1362*b + 5445*b**2 - 5753*b**2 + 18*b**4 + 2*b**5 - 990 + 30*b**3 = 0. What is b?
-11, -5, 1, 3
Let h(t) = 214*t - 214. Let g be h(1). Let q(a) be the second derivative of 0 + 2*a + g*a**2 + 1/96*a**4 - 1/48*a**3. Factor q(v).
v*(v - 1)/8
Let c = 21826/27 - 808. Let n(q) be the third derivative of 0 - 1/36*q**4 - 17*q**2 + c*q**3 - 1/270*q**5 + 0*q. Factor n(g).
-2*(g - 2)*(g + 5)/9
Let k be (54/63)/((-24)/(-21)). Let s(z) be the second derivative of 4*z + k*z**4 + 3/4*z**5 + 0*z**2 + 0 - z**3. Suppose s(a) = 0. What is a?
-1, 0, 2/5
Factor -3/2*b**3 - 6900 - 39*b**2 + 1230*b.
-3*(b - 10)**2*(b + 46)/2
Suppose -3*q + 69 + 75 = 0. Suppose -12*k - q = -16*k. Factor 4*g**3 + k*g**3 - 14*g**3 - 2*g**4.
-2*g**3*(g - 1)
Let o be 128/1344 - (-372)/63. Let x(m) be the third derivative of 2/105*m**7 + 1/6*m**4 - 1/30*m**o + 0 - 1/15*m**5 - 10*m**2 + 0*m + 0*m**3. Factor x(b).
4*b*(b - 1)**2*(b + 1)
Let g(k) be the third derivative of -k**7/630 + k**6/24 - 7*k**5/18 + 5*k**4/3 - 32*k**3/9 - 2211*k**2. Let g(l) = 0. Calculate l.
1, 2, 4, 8
Let i(y) be the second derivative of -3*y**5/20 + 63*y**4/4 + 405*y**3/2 + 1863*y**2/2 + 75*y - 1. Determine m, given that i(m) = 0.
-3, 69
Let y = -81 + 84. Suppose -184 = -2*x - c, 4*x + y*c = 2*c + 364. Factor -x - 5*k**2 + 173 + 5*k - 53.
-5*(k - 3)*(k + 2)
Let v(f) be the second derivative of f**7/49 + 13*f**6/70 + 33*f**5/70 + 2*f**4/7 - 4312*f. Let v(d) = 0. What is d?
-4, -2, -1/2, 0
Let d(b) be the third derivative of -b**8/420 + 26*b**7/525 - 13*b**6/150 - 101*b**5/75 + 7*b**4/15 + 176*b**3/15 - 546*b**2 + 1. Find k, given that d(k) = 0.
-2, -1, 1, 4, 11
Factor 39 + 4*s**2 - 3*s**2 + 73 - 118*s - 37*s + 133*s.
(s - 14)*(s - 8)
Let t be (2 - 32/14)/(3231/63 + -52). Find w such that 0 + 0*w - t*w**2 - 2/5*w**4 + 4/5*w**3 = 0.
0, 1
Let c(a) be the third derivative of 10*a**2 + 0*a + 1/3*a**3 + 1/60*a**5 - 1/8*a**4 + 0. Factor c(g).
(g - 2)*(g - 1)
Let i be (30/990*121)/((-66)/(-36)). Let 32/13 - 32/13*s**i - 2/13*s**3 + 2/13*s = 0. Calculate s.
-16, -1, 1
What is v in 585*v - 1772*v**4 + 1775*v**4 - 87*v**3 - 263*v**2 - 5400 - 6*v**3 + 752*v**2 = 0?
-3, 5, 24
Suppose -43*v + 109 + 149 = 0. Let y(p) be the third derivative of 0*p**3 - 1/42*p**7 + 1/6*p**5 + 0 + 0*p + 13*p**2 + 1/24*p**v + 0*p**4. Solve y(o) = 0 for o.
-1, 0, 2
Let u(o) = -21*o - 11. Let j be u(-1). Determine