7 + -107. Suppose -4*y - 17 + 113 = w. Factor y*t + 20*t**2 + 53*t**3 - 58*t**3 + t.
-5*t*(t - 5)*(t + 1)
Let w(c) = c + 3. Let o be w(-3). Suppose o = 3*j - 10*j + 112. Find z such that z**2 - 4*z**2 + 16 + 4*z**4 - 2*z**2 + j*z - 8*z**3 - 7*z**2 = 0.
-1, 2
Let u(h) be the second derivative of 0 + 1/4*h**5 + 1/24*h**6 - 5/24*h**4 - 44*h - 5/2*h**3 - 5/2*h**2. Let s(k) be the first derivative of u(k). Factor s(b).
5*(b - 1)*(b + 1)*(b + 3)
Suppose -f + t = -6, -17*t - 12 = f - 15*t. Let l(y) be the third derivative of 0*y**3 + 0*y + 0*y**4 + 1/20*y**5 + 21*y**2 + f. Factor l(n).
3*n**2
Factor -27/8*f**2 - 5/8*f**3 - 5*f - 3/2.
-(f + 2)*(f + 3)*(5*f + 2)/8
Let s be (13/6 - 1)/((-115328)/954 - -121). What is t in -s*t**3 + 0 + 3/2*t**4 + 0*t**2 + 0*t = 0?
0, 7
Let d = 617 + -586. Factor -15*w**2 + 12*w**2 - d*w + 4*w - 42.
-3*(w + 2)*(w + 7)
Let b(r) be the first derivative of -2/3*r**3 + 2/3*r**4 - 4*r**2 - 6*r + 1/5*r**5 - 19. Let x(h) be the first derivative of b(h). Factor x(y).
4*(y - 1)*(y + 1)*(y + 2)
Find q, given that -35/2 + 1/4*q**2 - 3/4*q = 0.
-7, 10
Find l such that 90*l - 53*l**2 + 230*l**2 - 258*l - 270 - 78 - 579*l**3 + 576*l**3 = 0.
-1, 2, 58
Let u(v) be the second derivative of -v**8/112 + v**7/70 + v**6/40 - v**5/20 + 37*v**2 + 5*v - 3. Let x(i) be the first derivative of u(i). Factor x(b).
-3*b**2*(b - 1)**2*(b + 1)
Let i = -228 + 230. Solve -41 + 11 - 124*p**i + 9*p + 127*p**2 = 0 for p.
-5, 2
Factor 14*g**3 + 223*g**2 - 1243 - 3898*g - 620*g**2 + 223 - 747*g**2.
2*(g - 85)*(g + 3)*(7*g + 2)
Let l = -26300 - -26300. Let j(c) be the third derivative of l*c + 1/12*c**4 + 9*c**2 - 1/30*c**5 + 2/3*c**3 + 0. Factor j(k).
-2*(k - 2)*(k + 1)
Let t(d) = 3*d**3 - 233*d**2 + 4501*d + 1537. Let c(q) = 22*q + 33*q + 2 - 53*q. Let k(b) = 24*c(b) - 3*t(b). Factor k(y).
-3*(y - 39)**2*(3*y + 1)
Solve 0 - 1510/7*c**4 + 1024*c**3 + 50/7*c**5 + 192*c + 6472/7*c**2 = 0.
-2/5, 0, 7, 24
Suppose 3*n + 101 = 2*s, 6*s - 155 = 3*s + n. Let q = -48 + s. Suppose -3 - 4*f**2 - 14 - q + 20*f + 5 = 0. Calculate f.
1, 4
Let f(h) = 20*h - 75. Let a be f(4). Solve 6*t + 30 + 25*t**3 - a*t**4 - 7*t - 25*t**2 + 5*t - 29*t = 0.
-1, 1, 2, 3
Let q(f) be the third derivative of 0*f + 1/60*f**5 - 3*f**2 + 14 + 5/6*f**3 + 1/4*f**4. Let q(k) = 0. What is k?
-5, -1
Let y(w) be the first derivative of 0*w**2 + 8/5*w**5 - w**4 + 2/3*w**6 - 8/3*w**3 - 65 + 0*w. Solve y(c) = 0.
-2, -1, 0, 1
Let t be (0 - 5/(270/26))*12. Let d = -163/36 - t. Solve -d*s + 1/4*s**3 + 1/4*s**4 - 1/2 - 3/4*s**2 = 0.
-1, 2
Let n(z) be the first derivative of 43 - 1/2*z**3 + 36*z + 0*z**2 + 1/16*z**4. Let r(g) be the first derivative of n(g). Factor r(k).
3*k*(k - 4)/4
Determine h so that 519 + 2*h**2 + 573 - 1432 + 166*h + 0*h**2 = 0.
-85, 2
Let i(x) be the second derivative of x**6/30 - 7*x**5/20 + x**4/6 + 32*x**3/3 - 48*x**2 + 3*x + 16. Factor i(a).
(a - 4)**2*(a - 2)*(a + 3)
Let x(d) be the second derivative of d**4/72 - 41*d**3/12 + 295*d**2/6 + 81*d + 3. Let x(n) = 0. What is n?
5, 118
Let i(s) be the third derivative of 2*s**6/45 + 361*s**5/90 + 397*s**4/36 + 44*s**3/9 + 4176*s**2. Determine p so that i(p) = 0.
-44, -1, -1/8
Let o be (4/8)/((-7)/(336/330) - -7). What is a in -58*a**2 - 32 - 80*a - 16*a**3 - 3/2*a**o = 0?
-4, -2, -2/3
Let z = -64416 - -64418. Factor -9/2 + 27/2*l + 1/6*l**5 - 15*l**z + 23/3*l**3 - 11/6*l**4.
(l - 3)**3*(l - 1)**2/6
Let z = -19 + 14. Let o(r) = -r**3 - 4*r**2 + 5*r + 2. Let a be o(z). Let -5*g**3 - 7 - 100*g**2 - 13 + 115*g**a = 0. Calculate g.
-1, 2
Let m(q) = -69*q + 196. Let a be m(6). Let v = 222 + a. Determine x so that -7/6*x**v - 2*x**3 + 0 + 1/3*x - 1/2*x**2 = 0.
-1, 0, 2/7
Let z be 3/(-11) + (-3600)/(-1584). Determine w so that 9/2*w**z - 9*w + 3/2*w**3 - 12 = 0.
-4, -1, 2
Let q = 197915/286 + -73/143. Let v = q + -691. Let -1/2*k**2 + 0*k + v = 0. Calculate k.
-1, 1
Let u(w) = 2*w + 28. Let x be u(-13). Factor 82*b**4 + 336*b + 48*b**3 + 147 - 256*b**4 + 87*b**4 + 234*b**x + 90*b**4.
3*(b + 1)**2*(b + 7)**2
Solve 210357*t + 4*t**3 - 1168*t**2 + 2344 - 105834*t - 105703*t = 0 for t.
-2, 1, 293
Factor -1225*u**2 + 131*u**3 + 817*u**2 - 24480*u - 3468 - 152*u**3 - 1023*u**2.
-3*(u + 34)**2*(7*u + 1)
Let d(g) be the third derivative of 0*g**4 + 0*g**3 + 3*g**2 + 1/105*g**7 + 0 + 0*g**6 + 0*g - 2/15*g**5. Find w such that d(w) = 0.
-2, 0, 2
Let g = -146922 - -146924. Suppose 58/19*l - 12/19 - 36/19*l**3 + 90/19*l**g = 0. Calculate l.
-2/3, 1/6, 3
Let b = 559/2195 + -24/439. Let -b*y**2 + 1/5*y**3 - 1/5*y + 1/5 = 0. What is y?
-1, 1
Let i(n) be the third derivative of -n**7/14 + 39*n**6/10 - 253*n**5/10 - 3135*n**4/2 + 2527*n**3/2 - 3*n**2 - 72*n - 7. Suppose i(u) = 0. Calculate u.
-7, 1/5, 19
Let q be -6 + (-6 - (7 + -25)). Let b(m) = m**3 + 3*m**2 - 6*m + 3. Let a(v) = -4*v**3 - 11*v**2 + 22*v - 11. Let r(j) = q*a(j) + 22*b(j). Factor r(z).
-2*z**3
Suppose 28*k + 64 = 60*k. Solve 354*d**5 + 2*d**4 - 352*d**5 + 12*d**3 + 6*d**4 + 8*d**k + 2*d = 0 for d.
-1, 0
Let y(m) = -148*m**2 - 123648*m - 136507392. Let f(i) = 43*i**2 + 35328*i + 39002112. Let x(s) = -24*f(s) - 7*y(s). Factor x(r).
4*(r + 2208)**2
Let q(k) be the first derivative of k**6/180 + 2*k**5/5 + 12*k**4 - 2*k**3/3 + 36*k - 34. Let d(j) be the third derivative of q(j). Factor d(t).
2*(t + 12)**2
Let a(x) be the second derivative of -x**5/20 - 403*x**4/12 + 812*x**3/3 - 814*x**2 + 432*x. Let a(n) = 0. What is n?
-407, 2
Let u(g) = -396*g + 1595. Let h be u(4). Let p = 5 - 3. Suppose -52*d + h*d**p - 40 + 7*d**2 + 16 + 2*d**2 = 0. What is d?
-2/5, 3
Let b(k) = -k**3 - 53*k**2 - 106*k - 99. Let f be b(-51). Suppose 0 = f*l + 23*l. Factor 2/9*x**2 + l - 4/9*x.
2*x*(x - 2)/9
Let f = 394/15 + -3659/140. Let b(l) be the second derivative of -4/7*l**3 + 18/7*l**2 - 1/140*l**5 + 0 - 3*l - f*l**4. Determine q so that b(q) = 0.
-6, 1
Factor 2/13*n**3 - 768/13 + 386/13*n**2 + 380/13*n.
2*(n - 1)*(n + 2)*(n + 192)/13
Let y be (29 - 5738/190)*(-2160)/42. Let 0 - 3/7*p**4 + 36/7*p**2 - 24/7*p**3 + y*p = 0. Calculate p.
-6, 0, 4
Factor -1153200 - 1240*r - 1/3*r**2.
-(r + 1860)**2/3
Let y(v) be the first derivative of 25*v**6/21 - 302*v**5/7 + 759*v**4/14 + 6302*v**3/21 + 280*v**2 + 696*v/7 - 3046. Determine x so that y(x) = 0.
-1, -2/5, 3, 29
Let h(q) be the second derivative of q**7/3780 + q**6/270 - 7*q**5/60 + 11*q**4/4 - q**3/6 - 185*q. Let w(k) be the third derivative of h(k). Factor w(i).
2*(i - 3)*(i + 7)/3
Let w(p) be the second derivative of p**6/135 - 7*p**5/90 - 5*p**4/18 + 175*p**3/27 - 250*p**2/9 + p - 815. Factor w(o).
2*(o - 5)**2*(o - 2)*(o + 5)/9
Let t(n) be the first derivative of 12*n**3 + 51 + 0*n**2 + 0*n + 1/5*n**5 + 3*n**4. Factor t(s).
s**2*(s + 6)**2
Let k(g) be the third derivative of -g**5/300 - 31*g**4/30 - 41*g**3/10 + 36*g**2 - 8*g. Factor k(l).
-(l + 1)*(l + 123)/5
Let l(x) be the third derivative of -x**5/30 - 5*x**4/12 + 28*x**3 + 251*x**2 + 2*x. Suppose l(y) = 0. What is y?
-12, 7
Let k(u) be the third derivative of -u**5/12 - 755*u**4/24 - 125*u**3 + 9*u**2 - 54*u. Factor k(x).
-5*(x + 1)*(x + 150)
Suppose -4*w - o - 41 = -252, 3*w = 5*o + 141. Let v = 59 - w. Factor -h**4 + 2*h**4 + 0*h**4 - v*h**2 - 6*h.
h*(h - 3)*(h + 1)*(h + 2)
Factor 0 + 0*d**3 + 38/5*d**2 - 2/5*d**4 + 12*d.
-2*d*(d - 5)*(d + 2)*(d + 3)/5
Let t(y) be the third derivative of y**7/2415 - 187*y**6/345 + 69563*y**5/345 + 23375*y**4/23 + 46875*y**3/23 + 2727*y**2. Let t(m) = 0. What is m?
-1, 375
Let s(v) be the third derivative of -v**5/110 + 949*v**4/66 - 1264*v**3/33 + 356*v**2 - 4. Factor s(u).
-2*(u - 632)*(3*u - 2)/11
Let u(k) be the first derivative of 803/2*k**2 - 152/3*k**3 + 242*k + 7/4*k**4 + 11. Factor u(q).
(q - 11)**2*(7*q + 2)
Let t(f) be the first derivative of -3*f**4/4 - 26*f**3 - 132*f**2 - 1092. Let t(z) = 0. What is z?
-22, -4, 0
Let c(h) be the third derivative of -41*h**2 + 1/1575*h**7 - 1/45*h**4 - 1/450*h**5 - 2 + 0*h + 0*h**3 + 1/225*h**6. Factor c(m).
2*m*(m - 1)*(m + 1)*(m + 4)/15
Let n(p) = 19*p**2 + 2612*p - 2631. Let c(j) = 176*j**2 + 23504*j - 23680. Let l(i) = -3*c(i) + 28*n(i). Factor l(u).
4*(u - 1)*(u + 657)
Let t(h) be the second derivative of -12/11*h**2 - 46*h - 7/33*h**3 + 0 - 1/66*h**4. Let t(s) = 0. Calculate s.
-4, -3
Let o(i) be the first derivative of 5