. What is p?
-2/7, 2
Suppose 0 = 313*o - 20*o - 586. Suppose 2/15*w**4 + 152/15*w**3 + 260642/15 + 1444/5*w**o + 54872/15*w = 0. Calculate w.
-19
Let t(p) = -p**2 - 7*p + 6. Let b be t(-6). Let o = b + -4. Let -32*k**2 - 4*k**5 - 8 + 38*k + 8*k**4 + 12*k - 22*k + o*k**3 = 0. Calculate k.
-2, 1
Suppose 9*n + 4*n - 213 = -69*n + 11*n. Factor 36 - 2*h + 1/2*h**4 - 15/2*h**n - 27*h**2.
(h - 18)*(h - 1)*(h + 2)**2/2
Suppose 9*v = 4*v + 20. Let t(y) = 3*y + 28. Let h be t(-8). Find s such that s**2 - h*s**3 - v*s**4 + 23*s**3 - 10*s**3 - 3*s**2 = 0.
0, 1/4, 2
Let c(h) be the second derivative of -5 - 1/21*h**6 - 2/21*h**4 + 0*h**3 + 0*h**2 - 7*h - 1/147*h**7 - 4/35*h**5. What is u in c(u) = 0?
-2, -1, 0
Let n(l) be the first derivative of 3*l**4/4 + 8*l**3 - 399*l**2/2 + 1020*l - 1055. Solve n(j) = 0.
-17, 4, 5
Suppose 3*v - w + 88 = -3*w, -26 = v - w. Let u be 2/(-7) - ((-1560)/v)/(-6). Factor -9*p**4 - 64 - 4*p**3 - u*p**3 - 4*p**2 + 5*p**4 - 11*p**3 + 96*p.
-4*(p - 1)**2*(p + 4)**2
Let l(w) be the third derivative of w**5/15 - 13*w**4/2 + 280*w**3/3 + 2196*w**2. Factor l(g).
4*(g - 35)*(g - 4)
Let s = -394328 - -394330. Suppose -4/11*m - 150/11*m**4 + 20/11*m**3 + 0 + s*m**2 = 0. Calculate m.
-2/5, 0, 1/5, 1/3
Let g(r) be the third derivative of r**6/80 - r**5/4 - 49*r**4/16 + 65*r**3/2 + 2*r**2 + 2700*r. Factor g(o).
3*(o - 13)*(o - 2)*(o + 5)/2
Find y, given that -9*y**2 + 5*y**2 + 3*y**2 + 113 - 23 - 89*y = 0.
-90, 1
Let u be (5/40)/((6/16)/(78/8 - 9)). Solve 9/2*g**2 - u*g**4 - 81/4 + 0*g + 0*g**3 = 0.
-3, 3
Let r = 352 + -349. Suppose 0*u + 34 = r*l + 5*u, 4*l + 2*u - 22 = 0. Suppose 3/10 + 2/5*f**4 - 11/10*f**l + 11/10*f - 7/10*f**2 = 0. Calculate f.
-1, -1/4, 1, 3
Let n(q) = 9*q**2 - 166*q + 1909. Let p(o) = -3*o**2 + 57*o - 636. Let h(t) = 6*n(t) + 19*p(t). Find r, given that h(r) = 0.
14, 15
Let z(r) = 8*r**2 + 6*r + 1. Let x be z(-1). Let l(u) be the first derivative of 1/21*u**x + 0*u + 3/14*u**2 - 10. Suppose l(m) = 0. What is m?
-3, 0
Suppose 2*u - 4*g - 392 = 3*u, -5*u - 2035 = 5*g. Let h = u + 825/2. Factor 2*l - 1/2*l**2 - h*l**3 + 2.
-(l - 2)*(l + 1)*(l + 2)/2
Let b(d) = -41*d**3 - 904*d**2 - 598*d + 330. Let i(o) = -24*o**3 - 452*o**2 - 299*o + 168. Let l(c) = 3*b(c) - 5*i(c). Find z such that l(z) = 0.
-150, -1, 1/3
Let l(k) = 9*k**4 + 63*k**3 - 117*k**2 - 15*k. Let w(g) = -4*g**4 - 30*g**3 + 58*g**2 + 6*g. Let t(i) = -4*l(i) - 10*w(i). Factor t(m).
4*m**2*(m - 2)*(m + 14)
Determine q, given that 0*q**2 + 0*q + 0 - 1/9*q**5 + 119/9*q**3 - 118/9*q**4 = 0.
-119, 0, 1
Let z = 428 - 547. Let n be 8*(24/35 - (-34)/z). Find f such that 18/5*f**5 - 58/5*f**3 + 8*f - 12/5*f**4 - 4/5*f**2 + n = 0.
-1, -2/3, 1, 2
What is b in -80/13*b + 134/13*b**4 + 8/13 - 254/13*b**3 + 218/13*b**2 - 2*b**5 = 0?
2/13, 1, 2
Suppose 6*r = -3*r. Let j be r + 39/15 - (-2)/5. Let 9*n + 0*n + 195*n**j + 357*n**3 + 23*n - 260*n**4 - 300*n**5 - 240*n**2 = 0. Calculate n.
-2, 0, 1/3, 2/5
Suppose 5*t - 863*c + 866*c = 12, -4*c = t + 1. Let o(x) be the first derivative of 26/5*x**t - 25 + 6*x**2 + 21/20*x**4 - 24/5*x. Factor o(u).
3*(u + 2)**2*(7*u - 2)/5
Let j(s) be the second derivative of 15*s + 1/2*s**2 + 1/6*s**4 - 1/40*s**5 + 2 - 5/12*s**3. Factor j(l).
-(l - 2)*(l - 1)**2/2
Let m(d) be the third derivative of -d**5/210 + 11*d**4/84 - 8*d**3/7 - 10*d**2 - 17*d. Factor m(n).
-2*(n - 8)*(n - 3)/7
Let a = 549 - 1646/3. Let u(v) be the third derivative of -1/30*v**6 + 0*v + 17*v**2 + 0*v**3 + a*v**5 + 0*v**4 + 0. Let u(n) = 0. Calculate n.
0, 5
Let m be (-1046655)/(-189) - 0/1. Let v = 5547 - m. Suppose 4/7*i**2 + v - 32/7*i = 0. What is i?
4
Let y(f) be the second derivative of 6/5*f**5 - 95*f + f**4 + 0*f**3 - 3/10*f**6 + 0 - 9/14*f**7 + 0*f**2. Suppose y(l) = 0. What is l?
-2/3, 0, 1
Factor -60*x - 934 + 5*x**2 - 906 + 2922 - 947.
5*(x - 9)*(x - 3)
Let z = 17445 - 139559/8. Let y(t) be the third derivative of 0 + 0*t**5 + 1/21*t**7 + 0*t**3 - z*t**6 - 7*t**2 + 0*t + 5/24*t**4. Factor y(r).
5*r*(r - 1)**2*(2*r + 1)
Factor -42*f + 63/5*f**2 + 3/5*f**3 + 144/5.
3*(f - 2)*(f - 1)*(f + 24)/5
Let d be -1*(-16 - -11) - 3*(-1)/(-3). Let l(g) be the second derivative of 0 - 8/9*g**2 - 15*g - 1/27*g**d - 10/27*g**3. Let l(c) = 0. Calculate c.
-4, -1
Let s(j) = 4*j**2 - 254*j - 280. Let z(u) = 21*u**2 - 1268*u - 1410. Let h(n) = 11*s(n) - 2*z(n). Factor h(q).
2*(q - 130)*(q + 1)
Let s = -4829 + 24146/5. Let h(r) be the second derivative of 0 - 23*r - 4/3*r**4 + s*r**5 + 0*r**2 + 2*r**3. Find l, given that h(l) = 0.
0, 1, 3
Suppose -n = -x + 37, 0 = -n + 36*x - 39*x - 33. Let r be (-4)/(-10)*(n - -40). Determine a so that 0 - r*a + 4/5*a**2 - 4/5*a**4 + 8/5*a**3 = 0.
-1, 0, 1, 2
Suppose 0 = 16*h + 7*h + 18101. Let m = 3939/5 + h. Find z, given that -12/5*z + 4/5*z**2 + 12/5*z**3 + m*z**4 - 8/5 = 0.
-2, -1, 1
Let s(t) be the first derivative of -1/12*t**4 - 13/9*t**3 - 8*t**2 - 12*t + 6. Factor s(q).
-(q + 1)*(q + 6)**2/3
Let r(g) be the second derivative of g**7/105 + 8*g**6/75 - 9*g**5/50 - 18*g**4/5 + 36*g**3/5 + 87*g - 2. Suppose r(o) = 0. Calculate o.
-6, 0, 1, 3
Let i(s) be the third derivative of 0*s**5 + 1/15*s**6 + 1/216*s**8 + 0*s**4 + 0*s + 0 + 0*s**3 - 63*s**2 - 128/945*s**7. Determine l, given that i(l) = 0.
0, 2/7, 18
Let c(u) be the first derivative of 45 - 95*u - 35*u**3 + 195/2*u**2 + 5/4*u**4. Factor c(f).
5*(f - 19)*(f - 1)**2
Let z be (-5 + 13 - 15) + 9. Let -98/5*u**3 + 160 - 48*u - 462/5*u**z = 0. Calculate u.
-20/7, 1
Factor -283*j**5 - 5*j**4 - 10*j**3 + 45*j**2 + 100*j**5 + 87*j**5 + 270*j - 65*j**3 + 101*j**5.
5*j*(j - 3)**2*(j + 2)*(j + 3)
Let z(n) = -7*n**3 - 13*n**2 - 11*n. Suppose 0 = 12*s + 10*s - 110. Let i(j) = -j**3 - j**2 - j. Let q(h) = s*i(h) - z(h). Determine o, given that q(o) = 0.
-3, -1, 0
Suppose 5*h - 37 = -27. Let f(b) be the third derivative of b**h - 1/33*b**3 + 5/132*b**4 + 0*b - 7/330*b**5 + 0 + 1/220*b**6. Find s such that f(s) = 0.
1/3, 1
Let t(c) be the first derivative of -c**6/3 + 20*c**5 - 72*c**4 + 284*c**3/3 - 47*c**2 + 2161. Determine f, given that t(f) = 0.
0, 1, 47
Let g(b) = -13*b**3 - 51*b**2 - 186*b - 204. Let n(c) = 15*c**3 + 50*c**2 + 185*c + 205. Let h(a) = -5*g(a) - 4*n(a). Suppose h(l) = 0. What is l?
-5, -4, -2
Let j(o) be the third derivative of -o**5/15 - 620*o**4 - 2306400*o**3 - 52*o**2 - 58. Factor j(r).
-4*(r + 1860)**2
Let n(z) be the second derivative of z**6/300 + z**5/8 + 13*z**4/24 - 5*z**3/12 - 33*z**2/10 + 586*z. Let n(m) = 0. What is m?
-22, -3, -1, 1
Suppose 7331*f + w = 7334*f + 5, 2*w - 12 = 5*f. Factor -7/2*z**f + 14*z - 1/2*z**3 - 10.
-(z - 2)*(z - 1)*(z + 10)/2
Let s(x) be the third derivative of -x**8/1848 + 67*x**7/385 - 1733*x**6/110 + 14999*x**5/165 - 897*x**4/4 + 297*x**3 - x**2 + 33*x. Factor s(d).
-2*(d - 99)**2*(d - 1)**3/11
Let y(w) be the first derivative of -w**3/3 + 51*w**2/2 + 5994. Factor y(i).
-i*(i - 51)
Suppose 4/9*u**2 - 2/9*u**3 - 4/3 + 10/9*u = 0. Calculate u.
-2, 1, 3
Let k = 78088/45 + -15614/9. Solve -k*s**2 - 72/5 - 24/5*s = 0 for s.
-6
Suppose -8*r - 10*r**2 - 8*r + 2*r**2 + 110 - 30 + 7*r**2 = 0. What is r?
-20, 4
Factor 1102*a**3 - 4432*a + 2216*a - 2200*a**2 + 7 + 2208*a - 7.
2*a*(a - 2)*(551*a + 2)
Let c(d) be the second derivative of 0*d**2 + 1/45*d**6 + 0 - 1/45*d**5 + 77*d + 0*d**3 + 0*d**4. Solve c(u) = 0 for u.
0, 2/3
Suppose -121*q - u = -122*q + 11, -2*q + 7*u = -77. Determine o, given that -18*o + 3/2*o**3 + 6*o**2 + q = 0.
-6, 0, 2
Factor 216 - 36*s + 41*s - 111*s**2 + 2*s**3 - 5*s**3 - 53*s - 54*s.
-3*(s - 1)*(s + 2)*(s + 36)
Let n(i) = 5*i**3 + 1301*i**2 + 53452*i - 13445. Let c(b) = -b**3 - 3*b**2 - 4*b + 1. Let y(t) = 3*c(t) - n(t). Solve y(k) = 0.
-82, 1/4
Suppose 70 = 4*j + 3*x - 22, -2*j - 4*x = -56. Find z, given that 5*z**2 + 20*z + z**2 - z**2 - 52 + j*z - 48 = 0.
-10, 2
Let m(n) = 14*n**2 - 426*n + 854. Let s(u) = 6*u**2 + 2*u + 1. Let o(l) = -m(l) + 2*s(l). Determine w so that o(w) = 0.
2, 213
Let x be ((-374)/30 - -13)/(2/15). Factor 8/5*r + 3/5 - 1/5*r**x + 6/5*r**2 + 0*r**3.
-(r - 3)*(r + 1)**3/5
Let b = 22738/43 + -204298/387. Factor -94/9*r - 8/3 + b*r**2.
2*(r - 12)*(4*r + 1)/9
Factor 0*h + 0 - 33/7*h**2 + 3/7*h**4 - 30/7*h**3.
3*h**2*(h - 11)*(h + 1)/7
Solve -135 + 670*d + 4964*d**3 - 219*d**2 + 95*d**2 - 105*d**2 - 4984*d**