) = j(t) + 5*p(t). Factor r(c).
-5*c**2*(c + 10)*(2*c - 1)
Let r be 7/(((-25)/175)/((-6)/147)). Let b(g) be the second derivative of 0 + 4/3*g**3 + 1/5*g**5 + g**4 - 6*g + 0*g**r. Factor b(m).
4*m*(m + 1)*(m + 2)
Let y(b) be the second derivative of 141/8*b**2 - 143/16*b**3 + 0 + 282*b + 3/32*b**4. Factor y(k).
3*(k - 47)*(3*k - 2)/8
Suppose -105 + 65 = -21*n + 23. Factor -1/4*m**n + 0 + 0*m**2 + 1/4*m.
-m*(m - 1)*(m + 1)/4
Let z(k) be the second derivative of -k**4/42 - 118*k**3/21 - 3481*k**2/7 - 1332*k. Factor z(l).
-2*(l + 59)**2/7
Suppose 2*a - f = -27 + 25, 0 = -3*a - 2*f + 4. Let i(u) = u**3 + 7*u + 2. Let c be i(a). Solve -2/9*l**3 + 16/9 + 2/9*l**4 - 4/3*l**c + 8/9*l = 0.
-2, -1, 2
Let v(z) be the third derivative of -55225*z**8/56 - 165863*z**7/21 - 3526*z**6/45 - 2*z**5/9 + 42*z**2 - 2*z + 24. Suppose v(d) = 0. What is d?
-5, -2/705, 0
Let g be (-1590)/(-636) - (-3)/(-6). Factor 45/8 + 3/8*m**g + 3*m.
3*(m + 3)*(m + 5)/8
Let a(y) be the third derivative of y**8/168 - y**7/105 - y**6/5 - 2*y**5/15 + 4*y**4/3 + 1086*y**2. Solve a(n) = 0 for n.
-2, 0, 1, 4
Let f(m) be the third derivative of -3/8*m**6 + 0*m**3 - 60*m**2 + 0 + 0*m**4 - 1/10*m**7 - 1/112*m**8 - 9/20*m**5 + 0*m. Solve f(t) = 0.
-3, -1, 0
Suppose -g - 4*d = 4, 5*g - 131*d - 16 = -133*d. Let z(f) be the first derivative of 6 + 3*f**3 - 3/5*f**5 + 0*f + 0*f**g + 3*f**2. Factor z(u).
-3*u*(u - 2)*(u + 1)**2
Let u(v) be the third derivative of -3*v**6/40 - 1621*v**5/20 - 27405*v**4 - 36450*v**3 + 2*v**2 + 895*v. Factor u(m).
-3*(m + 270)**2*(3*m + 1)
Let g(i) = 338*i**3 + 89 + 854*i**2 - 38 + 93 + 95 + 724*i - 39. Let k(w) = w**2 - w. Let h(d) = g(d) + 4*k(d). Factor h(u).
2*(u + 1)*(13*u + 10)**2
Let b(i) be the second derivative of -8*i**2 + 1/10*i**5 - 12 - i + 14/3*i**3 - 7/6*i**4. Factor b(a).
2*(a - 4)*(a - 2)*(a - 1)
Let q = -11 + 17. Let l(a) = 8*a**2 + 16*a - 7. Let y = 376 - 427. Let u(t) = t**2 + 2*t - 1. Let w(f) = q*l(f) + y*u(f). Find j, given that w(j) = 0.
-3, 1
Suppose -175 = -608*y + 372 + 669. Solve 8/7*f**3 + 180/7*f - 78/7*f**y + 50/7 = 0 for f.
-1/4, 5
Let y = 671 + -668. Factor 46*n + n**2 + 1799 + 6301 + y*n**2 - 406*n.
4*(n - 45)**2
Determine i, given that 2328/7*i + 3/7*i**2 + 451632/7 = 0.
-388
Let q(k) be the first derivative of 8*k - 7 + 9/2*k**2 + 1/3*k**3. Factor q(v).
(v + 1)*(v + 8)
Let a(m) = 1636*m**3 + 121309*m**2 + 2172836*m - 630761. Let l(w) = 544*w**3 + 40436*w**2 + 724279*w - 210254. Let s(u) = -4*a(u) + 11*l(u). Factor s(j).
-5*(4*j + 145)**2*(7*j - 2)
Let u(t) be the third derivative of -t**6/40 - 53*t**5/20 - 117*t**4/4 + 144*t**3 + 29*t**2 + 52. Determine z so that u(z) = 0.
-48, -6, 1
Let t(h) be the second derivative of h**4/3 - 1690*h**3/3 + 1688*h**2 - h - 368. Factor t(d).
4*(d - 844)*(d - 1)
Let p(n) = 6*n**2 + 952*n + 38392. Let b(k) = 2*k**2 + 317*k + 12797. Suppose 9*o + 200 = -16*o. Let z(a) = o*b(a) + 3*p(a). Find s such that z(s) = 0.
-80
Suppose -4177 = -97*d - 3983. Find q, given that -2/5 + 1/5*q + 1/5*q**d = 0.
-2, 1
Let f = 412 - 368. Let x(z) = 2*z**2 - 87*z - 41. Let r be x(f). Factor -1/5*m**r + 1/5*m - 1/5*m**2 + 0 + 1/5*m**4.
m*(m - 1)**2*(m + 1)/5
Let m be (-12 - (-3852)/315)/(1/14). What is y in -32/5*y - 14/5*y**4 + 32/5 - m*y**2 + 32/5*y**3 + 2/5*y**5 = 0?
-1, 2
Let c(w) be the first derivative of 1/24*w**3 - 95 - 3/2*w - 1/4*w**2. Factor c(x).
(x - 6)*(x + 2)/8
Let x(f) = 7176*f - 50229. Let z be x(7). Factor 2/13*h**z - 24/13*h + 0 - 22/13*h**2.
2*h*(h - 12)*(h + 1)/13
Let a(k) = -63*k**2 - 4288*k - 255. Let l be a(-68). Determine u so that -12/5 - l*u**2 - 26/5*u**3 - 64/5*u + 7/5*u**4 = 0.
-1, -2/7, 6
What is l in -1111*l**2 + 226*l + 469*l**2 + 326*l**2 + 126*l**3 - 36 = 0?
2/9, 1, 9/7
Let r(c) = 12*c**3 - 8*c**2 - 22*c. Let p be r(-1). Suppose 0*b + 0 - 4/5*b**p + 34/5*b**3 = 0. Calculate b.
0, 2/17
Let n(p) be the second derivative of -p**7/4620 + p**6/495 - p**5/132 + p**4/66 + 8*p**3/3 + 7*p - 8. Let z(g) be the second derivative of n(g). Factor z(f).
-2*(f - 2)*(f - 1)**2/11
Let m = 99002 - 495007/5. Factor -9/5*w + 6/5 + m*w**2.
3*(w - 2)*(w - 1)/5
Let a be 5 + ((-56)/(-14) - 4). Let z(i) be the second derivative of 0 - 1/2*i**a - 1/2*i**6 + 0*i**3 + 0*i**2 + 0*i**4 - 13*i. Let z(u) = 0. Calculate u.
-2/3, 0
Let b(o) be the first derivative of -68 - 1/2*o**3 + 3/2*o**5 - 69/8*o**4 + 12*o**2 - 6*o + 7/4*o**6. Determine g so that b(g) = 0.
-2, -1, 2/7, 1
Let v(s) be the second derivative of s**5/10 - 20*s**4/3 + 533*s**3/3 - 2366*s**2 - 2*s - 3135. Factor v(b).
2*(b - 14)*(b - 13)**2
Let k be 14/(-48)*(1880/(-112) - -11). Let v = -87/80 + k. Determine r, given that 0 + 6/5*r + v*r**2 - 3/5*r**3 = 0.
-1, 0, 2
Let d(l) be the first derivative of l**4 + 12*l**3 - 72*l**2 - 686. Factor d(x).
4*x*(x - 3)*(x + 12)
Let p(h) = -951*h**2 - 363*h + 330. Let u(j) = 190*j**2 + 72*j - 66. Let a(z) = -5*p(z) - 24*u(z). What is c in a(c) = 0?
-11/13, 2/5
Let u(k) = -3*k**2 - 56*k + 78. Let v be u(-20). Let q be v/(-22) + (-246)/(-396)*2. Factor -i**2 - q*i**3 + 0 + 1/3*i.
-i*(i + 1)*(4*i - 1)/3
Suppose l = 5*g - 10, 504*g - 5*l = 500*g + 50. Let 0*b + b**5 + 0*b**3 + 0 + g*b**2 + 2/5*b**4 = 0. Calculate b.
-2/5, 0
Suppose 14*p + 4*q - 1 = 17*p, -3*q + 7 = 4*p. Let c(o) = 3*o**3 - 4*o**2 - 3*o + 4. Let v be c(p). Factor 0*b**2 + b - 1/4*b**3 + v.
-b*(b - 2)*(b + 2)/4
Let a(y) be the first derivative of y**6/24 + 31*y**5/20 + 133*y**4/16 + 23*y**3/4 - 117*y**2/4 - 73. Suppose a(q) = 0. What is q?
-26, -3, 0, 1
Let u(h) be the third derivative of -h**7/1050 + 11*h**6/600 - 23*h**5/300 - 7*h**4/24 + 852*h**2 + 2*h. Factor u(p).
-p*(p - 7)*(p - 5)*(p + 1)/5
Let r(b) be the second derivative of -5*b**7/49 + 149*b**6/105 - 124*b**5/35 - 202*b**4/21 - 16*b**3/3 + 5*b + 41. Find w such that r(w) = 0.
-2/3, -2/5, 0, 4, 7
Let m(n) be the third derivative of -7*n**5/20 - 153*n**4/4 + 44*n**3 - 2*n**2 - 1423*n. Factor m(z).
-3*(z + 44)*(7*z - 2)
Suppose 7*z = 12*z + 35, -7*x = z - 21. Let o(b) be the third derivative of 0 - 4/3*b**3 - 26*b**2 + 2/15*b**5 - 1/2*b**x + 0*b. Find m such that o(m) = 0.
-1/2, 2
Let o be 2301/(-39) + 65 + 8/(-2). Factor -3/5*d**3 + 3/5*d + 0*d**o + 0.
-3*d*(d - 1)*(d + 1)/5
Let j(h) = 49*h - 193. Let m be j(17). Factor 778*k**2 + 139 + 235*k**3 - 568*k**2 + 21 - m*k + 35*k**4.
5*(k - 1)*(k + 4)**2*(7*k - 2)
Factor 290*k**3 - 45*k**4 + 1686*k**2 + 2214*k**2 + 30*k**4 - 9000*k + 20*k**4.
5*k*(k - 2)*(k + 30)**2
What is k in 1325*k**2 - 256 + 708*k**4 - 594*k**5 + 2312*k**3 + 664*k**5 + 1091*k**2 = 0?
-4, -2, -2/5, 2/7
Let n be (-1 + (-3)/9)*-33. Suppose 0*i + 8 = 4*i. Factor -i*u**3 - 10 + 3*u**3 + 60*u**2 - 10*u + 15*u + n*u**3.
5*(u + 1)*(3*u - 1)*(3*u + 2)
Determine k so that 24025 - 104*k**3 - 1/3*k**4 - 8214*k**2 - 47120/3*k = 0.
-155, -3, 1
Let b(l) = l**3 + 17*l**2 - 62*l - 40. Let x be b(-20). Factor x + 4*t**2 + 42/11*t + 2/11*t**3.
2*t*(t + 1)*(t + 21)/11
Let a(f) = -f**3 + 4*f**2 + f - 2. Let i be a(3). Suppose -i*k + 8*k + 40 = 0. Factor -2*u**3 + 25*u**2 + 25*u + 7*u**3 + k + 15*u.
5*(u + 1)*(u + 2)**2
Let f be ((-84)/35)/(4/(-75)). Suppose f*w = 18*w + 54. Factor -8/3*j**w + 8/3*j + 2/3*j**3 + 0.
2*j*(j - 2)**2/3
Let k be 4/(-18) - (710/45 - 4). Let v(g) = -g**3 - 11*g**2 + 12*g + 2. Let l be v(k). Find c such that 14*c**3 - l*c**3 + 20*c + 3*c**3 + 40*c**2 = 0.
-2, -2/3, 0
Let a be (-5942)/(-23768) - ((-21)/4)/3. Factor -486 + 36*v - 2/3*v**a.
-2*(v - 27)**2/3
Let -34848*x + 175692/5 - 3/5*x**3 - 1449/5*x**2 = 0. What is x?
-242, 1
Let t(p) be the first derivative of 39/40*p**5 - 5/16*p**6 - 9/8*p - 9/16*p**4 + 99 - 5/4*p**3 + 33/16*p**2. Determine h, given that t(h) = 0.
-1, 3/5, 1
Suppose -408*o + 65 = -395*o. Let s(m) be the first derivative of o*m**2 - 5/3*m**3 + 19 - 5*m. Suppose s(v) = 0. Calculate v.
1
Let i(j) = 3*j**3 + 130*j**2 + 350*j - 490. Suppose -3 = -7*k + 25. Let x(w) = -w**3 - 65*w**2 - 175*w + 245. Let h(y) = k*i(y) + 7*x(y). Factor h(m).
5*(m - 1)*(m + 7)**2
Solve 148/5*c**3 + 4/5*c**4 - 3042/5*c + 0 + 1209/5*c**2 = 0 for c.
-39/2, 0, 2
Let b = 6310/9039 - 206/393. Factor 2/23*c**3 + 6/23*c**2 - 2/23*c**4 + b - 10/23*c.
-2*(c - 1)**3*(c + 2)/23
Let k(l) be the second derivative of -l**7/15 + 31*l**6/25 - l**5/10 - 53*l**4/6 - 36*l**3/5 + 52*l**2/5 - l + 487. Le