 f = -281 - -331. Suppose -23*v = -f + 4. Factor -2/7*y**v - 2/7 - 4/7*y.
-2*(y + 1)**2/7
Factor u**4 + 10*u + 0*u - 2*u**3 + 5*u**3 + 14*u + 34*u**2 + 8*u**3.
u*(u + 1)*(u + 4)*(u + 6)
Let v(l) be the second derivative of l**6/30 + 17*l**5/75 + 8*l**4/15 + 8*l**3/15 - 107*l**2/2 + 91*l. Let o(a) be the first derivative of v(a). Factor o(f).
4*(f + 1)*(f + 2)*(5*f + 2)/5
Let q(x) be the first derivative of -15*x + 3/5*x**5 + 21*x**2 - 12*x**3 + 3/2*x**4 - 166. Factor q(v).
3*(v - 1)**3*(v + 5)
Let z(t) be the first derivative of 3/14*t**6 - 9/7*t**3 + 0*t - 6 + 9/4*t**4 + 0*t**2 + 51/35*t**5. Factor z(b).
3*b**2*(b + 3)**2*(3*b - 1)/7
Determine o, given that 148*o + 442/3 + 2/3*o**2 = 0.
-221, -1
Let q = 93 - 88. Let f(x) = -x**4 + 28*x**3 + 24*x**2 + 5*x. Let l(c) = 14*c**3 + 12*c**2 + 2*c. Let u(y) = q*l(y) - 2*f(y). Factor u(g).
2*g**2*(g + 1)*(g + 6)
Let u = -4/7545 - -10064/7545. What is n in -1/3*n**2 + u + n = 0?
-1, 4
Let o(l) be the second derivative of 1/2*l**4 + 1/40*l**5 + 3*l**3 + 0*l**2 + 208*l + 0. Factor o(b).
b*(b + 6)**2/2
Let q = 3880 - 232799/60. Let k(b) be the third derivative of 0 + 0*b**6 + 0*b + 0*b**4 + 18*b**2 - 1/210*b**7 + q*b**5 + 0*b**3. What is s in k(s) = 0?
-1, 0, 1
Let j(i) be the second derivative of -5*i**4/12 + 2590*i**3 - 6037290*i**2 + 18*i - 219. Factor j(d).
-5*(d - 1554)**2
Let n be (-134)/(-54) + 8*70/(-240). Let p(z) be the first derivative of 0*z**2 - 7/18*z**4 + 8/45*z**5 - n*z**3 + 0*z - 13. Factor p(f).
2*f**2*(f - 2)*(4*f + 1)/9
Let v(x) = x**3 + 2*x**2 - 2*x + 1. Let i(u) = -4*u**3 - 24*u**2 + 4*u + 42. Let j(k) = -i(k) - 6*v(k). Suppose j(q) = 0. What is q?
-2, 2, 6
Suppose -129 - 681 = -10*y. Let b be (2/20)/(y/324). Factor -686/5 - 294/5*t - b*t**3 - 42/5*t**2.
-2*(t + 7)**3/5
Let x(h) be the first derivative of h**7/210 + h**6/15 + 11*h**5/30 + h**4 + 62*h**3 - 192. Let y(w) be the third derivative of x(w). Factor y(d).
4*(d + 1)*(d + 2)*(d + 3)
Let u(m) be the first derivative of -3*m**5/10 - 18*m**4 - 613*m**3/2 - 1035*m**2/2 + 6348*m - 393. Let u(f) = 0. Calculate f.
-23, -4, 2
Let m = -763652 - -763656. Find n such that -3/5*n**m + 36/5*n - 9/5*n**3 + 24/5 + 6/5*n**2 = 0.
-2, -1, 2
Let l(b) be the second derivative of 1/24*b**4 + 1/40*b**5 - 3*b**2 + 0 + 234*b - 2/3*b**3. Factor l(x).
(x - 3)*(x + 2)**2/2
Factor -823*h**2 - 225 - 817*h**2 + 1637*h**2 + 60*h.
-3*(h - 15)*(h - 5)
Let g(t) = 58*t**2 + 25*t - 35 - 6*t - 60*t**2. Let b be g(7). Let 3/2*w**3 + 0*w + 3/4*w**2 + b = 0. What is w?
-1/2, 0
Let o(l) = 80*l**2 + 28105*l + 6570720. Let f(h) = 13*h**2 + 4684*h + 1095120. Let t(u) = -25*f(u) + 4*o(u). Solve t(m) = 0 for m.
-468
Let 200/3*c + 185/6*c**3 - 5/6*c**4 + 0 + 295/3*c**2 = 0. Calculate c.
-2, -1, 0, 40
Suppose -19 = -5*w + 4*u, 0*w = 2*w - 3*u - 9. Let x be -1*w - (-3 + 2 - 6). Let 3*d - 12 + d + 4*d + x*d**2 = 0. Calculate d.
-3, 1
Let d(v) = -16*v**2 - 14*v - 6. Let g be 6/9 - 72/27. Let c(s) = s**2 + 1. Let u(i) = g*d(i) - 36*c(i). Factor u(b).
-4*(b - 6)*(b - 1)
Let p = 6437 - 6437. Solve 6*g**2 - 8/3 + 4/3*g**3 + p*g - 2*g**4 = 0 for g.
-1, 2/3, 2
Let b(g) be the first derivative of 9*g**6/2 - 192*g**5/5 - 195*g**4/4 + 8*g**3 + 1954. Determine y so that b(y) = 0.
-1, 0, 1/9, 8
Let y(d) = 63*d**3 - 142*d**2 + 4063*d - 47628. Let j(s) = -2*s**3 + s**2 - s. Let q(p) = -62*j(p) - 2*y(p). Suppose q(c) = 0. Calculate c.
27, 42
Solve 2/5*n**3 + 24 - 134/5*n + 12/5*n**2 = 0.
-12, 1, 5
Suppose -192 - 91 = -4*q + 5*s, -5*q + 5*s + 355 = 0. Determine l, given that -15*l**5 + 484*l**2 + 20*l**4 + q*l**4 + 19*l**5 + 572*l**3 = 0.
-11, -1, 0
Suppose 0 = -8*j + 40*j - 128. Factor -14*w**2 + 6*w**2 + 327*w**4 - 317*w**j + 12*w**3 - 16*w + 2*w**5.
2*w*(w - 1)*(w + 2)**3
Let h(l) be the second derivative of 43/30*l**3 + 7/5*l**2 + 0 + 51*l + 1/50*l**5 + 31/60*l**4. Solve h(p) = 0 for p.
-14, -1, -1/2
Let k(u) be the first derivative of 2*u**6/3 + 22*u**5 + 633*u**4/16 + 235*u**3/12 + 13*u**2/4 - 451. Let k(v) = 0. Calculate v.
-26, -1, -1/4, 0
Let l(m) be the third derivative of m**7/105 + 2*m**6/15 - 12*m**5/5 - 72*m**4 - 720*m**3 - 3*m**2 + 3*m + 58. Determine b so that l(b) = 0.
-6, 10
Let q(d) be the first derivative of 1687401*d**4/14 - 160210*d**3 - 5192*d**2/7 - 8*d/7 - 8800. Factor q(b).
2*(b - 1)*(1299*b + 2)**2/7
Let c(p) be the first derivative of 27/2*p**2 - 1/48*p**5 + 0*p**3 - 5/96*p**4 + 8 + 0*p. Let t(z) be the second derivative of c(z). Factor t(d).
-5*d*(d + 1)/4
Let d = -198/35 + 874/105. Let p(b) be the first derivative of 26 + 0*b - b**4 + 0*b**2 - d*b**3. Factor p(s).
-4*s**2*(s + 2)
Factor 106/3*s**2 + 152/3*s + 24 + 28/3*s**3 + 2/3*s**4.
2*(s + 1)*(s + 2)**2*(s + 9)/3
Let o(y) be the first derivative of -y**2/2 - 9*y - 166. Let p be o(-11). What is j in -2/5*j**4 + 0*j - 12/5*j**3 - 18/5*j**p + 0 = 0?
-3, 0
Let j(v) = -9*v**2 + 56*v - 29. Let g(s) = s**2 + s + 1. Suppose 0 = -h + 13*h - 12. Let m(o) = h*j(o) - 6*g(o). What is r in m(r) = 0?
1, 7/3
Let u be (3394/3)/(117838/342) - 3. Let q = 1/443 + u. Suppose -2/7*r**3 + 1/7*r + 1/7*r**5 + q*r**4 + 2/7 - 4/7*r**2 = 0. Calculate r.
-2, -1, 1
Let r = 172452 + -1207146/7. Find w such that -6/7 - 18/7*w**2 + 6/7*w**3 + r*w = 0.
1
Let w(h) = -h**3 + 3*h**2 + 17*h - 20*h**2 - h + 26 + 3*h. Let f(b) = 6*b**3 + 86*b**2 - 96*b - 128. Let t(n) = 3*f(n) + 16*w(n). Factor t(m).
2*(m - 4)**2*(m + 1)
Let f(x) = -11*x**2 - 183*x - 186. Let s(d) be the third derivative of -3*d**5/20 - 61*d**4/8 - 31*d**3 + 250*d**2. Let w(j) = -6*f(j) + 7*s(j). Factor w(y).
3*(y - 62)*(y + 1)
Let z(y) be the first derivative of -7/9*y**3 + 48 - 4*y + 31/6*y**2. Determine j, given that z(j) = 0.
3/7, 4
Let l(s) be the first derivative of -3/35*s**5 - 3/28*s**4 + 0*s**2 + 1/14*s**6 + 1/7*s**3 - 27 + 0*s. What is m in l(m) = 0?
-1, 0, 1
Let f(u) be the second derivative of -80*u**3 + 2*u**4 - u + 1600*u**2 - 49 - 1/50*u**5. Factor f(n).
-2*(n - 20)**3/5
Let z(f) be the third derivative of -f**7/315 - 41*f**6/90 - 28*f**5 - 1911*f**4/2 - 19551*f**3 + f**2 + 4*f - 307. Suppose z(j) = 0. What is j?
-21, -19
Factor -36*s - 10265451 + 10265595 - 2*s**2 + 4*s**2.
2*(s - 12)*(s - 6)
Suppose 3*c - 58 = -4*d - 8, -2*c - d + 35 = 0. Suppose -2*x = -8*x + c. Determine y, given that 2*y**2 - 114*y**4 + 2 + 113*y**4 - x = 0.
-1, 1
Let z be 3618/2079 - ((-171)/11 + 15). Let k be (-4)/(-6) - (-8)/(-84). Determine i so that 12/7*i - 8/7*i**4 + 8/7*i**2 + 0 - z*i**3 + k*i**5 = 0.
-1, 0, 1, 3
Let i(o) = 4*o**2 - 30*o + 13. Let l be i(7). Let p(y) = -y**2 + 1. Let d(t) = t**2 + 5*t**2 + 2*t**2 - 6 + 2*t. Let s(z) = l*d(z) - 6*p(z). Factor s(w).
-2*w*(w + 1)
Let x(y) be the first derivative of -y**6/2 + 3*y**5/5 + 183*y**4/4 + 107*y**3 - 90*y**2 - 324*y + 1801. Determine z, given that x(z) = 0.
-6, -2, -1, 1, 9
Let h = -30665/13 - -2359. Let t(p) be the first derivative of -8 + 0*p - h*p**2 - 2/39*p**3. Determine s, given that t(s) = 0.
-2, 0
Suppose 63 + 3 = 11*c. Let o(j) be the third derivative of 0*j + 1/240*j**5 + 12*j**2 + 1/480*j**c + 0 - 1/48*j**4 + 0*j**3. Factor o(u).
u*(u - 1)*(u + 2)/4
Determine d so that 174*d**2 + 168*d**4 - 335*d**4 + 336*d + 164*d**4 - 165*d**3 = 0.
-56, -1, 0, 2
Let z(p) be the first derivative of 3*p**5/25 + 207*p**4/20 - 1702. Factor z(m).
3*m**3*(m + 69)/5
Let v be 2*(-4)/4 + 32/8. Factor -8*p**v - 186*p - 2*p**3 - 155*p - 48*p**2 - 51*p.
-2*p*(p + 14)**2
Let k(x) be the first derivative of -x**4/24 + 89*x**3/3 - 7921*x**2 + 2819876*x/3 - 7195. Determine y so that k(y) = 0.
178
Let a = 3368 - 3366. Factor -38*q**a - 13718/3 + 2/3*q**3 + 722*q.
2*(q - 19)**3/3
Let w(i) = 102*i - 528. Let v be w(5). Let x be (v - 18)*(-4)/84. Find z such that -x*z**4 + 2/7*z**5 + 0 + 26/7*z**3 + 8/7*z - 24/7*z**2 = 0.
0, 1, 2
Let c(y) be the first derivative of 0*y**2 - y**3 + 5 - y + 1/6*y**4. Let p(f) be the first derivative of c(f). Factor p(i).
2*i*(i - 3)
Let w be (-2392)/(-59800)*(-125)/(-6). Determine r so that -1/6*r**3 - w*r - r**2 + 2 = 0.
-4, -3, 1
Let t(f) = -63*f**2 - 25*f**2 + 156 + 115*f**2 - 25*f**2 + 35*f. Let o be t(-9). Let 3/5*l**2 - 9/5*l + 3/5*l**4 + 9/5*l**o - 6/5 = 0. What is l?
-2, -1, 1
Let n be (148/(-208) + (-26)/676)/(15/(-8)). Factor n*k**2 - 6/5*k - 8/5.
2*(k - 4)*(k + 1)/5
Let i(o) = o**4 + 3*o**3 - o**2 + 5*o - 2.