**3 + 100*m**2 + 11*m - 48. Let j(t) = -6*d(t) + 13*h(t). Factor j(n).
(n - 1)*(n + 1)*(n + 37)
Suppose 395*f = -4888 + 6073. Suppose 0 = -6*m + m. Factor 30/23*y**f + 4/23*y**2 + 0 + m*y.
2*y**2*(15*y + 2)/23
Let j(a) = 5*a**2 + 19*a. Let o(f) = -4*f**2 - 18*f. Let c(y) = 3*j(y) + 4*o(y). Let q be c(-15). Determine s so that q + 0*s + 1/7*s**2 = 0.
0
Find s such that -1384/3*s + 1385/3 - 1/3*s**2 = 0.
-1385, 1
Let 292/5*g**2 - 128/5*g - 12/5 - 152/5*g**3 = 0. What is g?
-3/38, 1
Let w(y) be the first derivative of y**4/3 + y**3 + y**2 - 19*y - 93. Let l(k) be the first derivative of w(k). Solve l(u) = 0 for u.
-1, -1/2
Let k = 916/451 - 2297/1353. Suppose 1/3*a**2 + k*a - 2/3 = 0. Calculate a.
-2, 1
Let z(s) be the first derivative of -87 - 28/3*s**3 + 33/2*s**4 + 108/5*s**5 + 0*s + 0*s**2 + 7/3*s**6. Solve z(l) = 0 for l.
-7, -1, 0, 2/7
Let y(o) be the third derivative of 1/78*o**4 + 0*o - 8*o**2 + 0 + 0*o**3 - 1/156*o**6 + 3/130*o**5. Factor y(n).
-2*n*(n - 2)*(5*n + 1)/13
Let l(h) be the first derivative of -5*h**4/4 + 940*h**3/3 - 935*h**2/2 - 374. Determine n so that l(n) = 0.
0, 1, 187
Let y(d) = 3*d**3 + 7436*d**2 + 5161399*d + 3437442. Let v(z) = -3*z**3 - 7490*z**2 - 5161400*z - 3437442. Let c(o) = -8*v(o) - 7*y(o). Factor c(t).
(t + 1311)**2*(3*t + 2)
Let y be 13 - (94 - 87) - -3*(-1 - 0). Factor 2/13*p**y - 4/13*p**2 + 6/13*p**4 + 0*p + 0.
2*p**2*(p + 1)*(3*p - 2)/13
Suppose -1 + 42 + 29 = 10*t. Let z(o) be the second derivative of 24*o + 2/15*o**6 + 0 + 0*o**3 - 1/4*o**5 + 1/6*o**4 - 1/42*o**t + 0*o**2. Factor z(h).
-h**2*(h - 2)*(h - 1)**2
Let j = 3990 + -3983. Let p(c) be the third derivative of -2/35*c**j + 0*c + 4/3*c**3 + 0 - 1/5*c**5 + 7/30*c**6 - 1/2*c**4 + c**2. Find a, given that p(a) = 0.
-2/3, 1
Factor 2/3*i**3 - 52/3*i - 32 + 46/3*i**2.
2*(i - 2)*(i + 1)*(i + 24)/3
Let c(g) be the first derivative of 26/45*g**3 + 29/15*g**2 + 2*g - 1/30*g**4 - 85. Factor c(h).
-2*(h - 15)*(h + 1)**2/15
Let p(f) be the second derivative of 0*f**3 - 23/35*f**6 + 0*f**2 + 170 + 0*f**4 - f - 1/98*f**7 - 1587/140*f**5. Determine g so that p(g) = 0.
-23, 0
Let i(s) = -9*s**4 + 353*s**3 + 689*s**2 + 349*s - 11. Let c(t) = -3*t**4 + 118*t**3 + 229*t**2 + 116*t - 4. Let w(h) = -11*c(h) + 4*i(h). Factor w(m).
-3*m*(m - 40)*(m + 1)**2
Let v(b) be the third derivative of -b**6/420 - 66*b**5/35 - 263*b**4/28 - 394*b**3/21 + b**2 - 146*b - 16. Factor v(a).
-2*(a + 1)**2*(a + 394)/7
Factor 57/2*a**2 + 1/2*a**3 + 528*a + 3200.
(a + 16)**2*(a + 25)/2
Let y = 25 + -11. Let n = -12 + y. Solve -k**2 + 17*k**2 - 8*k**2 + 8*k + n*k + 2 = 0.
-1, -1/4
Suppose -3*d - 152*x - 12 = -155*x, -6*d - x + 4 = 0. Factor 0 - 4/13*u**3 + 0*u**4 + d*u**2 + 2/13*u**5 + 2/13*u.
2*u*(u - 1)**2*(u + 1)**2/13
Let p = -7924 - -7926. Let s(q) be the third derivative of 0*q + 0*q**4 - 1/2*q**3 - 4*q**p + 1/20*q**5 + 0. Factor s(t).
3*(t - 1)*(t + 1)
Let b(o) be the third derivative of -o**5/60 - 155*o**4/12 - 24025*o**3/6 + 57*o**2 + 33*o. Find p such that b(p) = 0.
-155
Let z = -5282/395 - -1088/79. What is u in -16/5*u - 2/5*u**4 + 8/5 - z*u**5 + 2/5*u**2 + 2*u**3 = 0?
-2, 1
Let j = 2709/20 - 541/4. Let o(g) = -60*g - 358. Let p be o(-6). Determine k, given that -2/5*k + 1/5*k**3 + j*k**p + 0 = 0.
-2, 0, 1
Factor 0 - 4/7*b**5 + 0*b**2 + 0*b + 3*b**4 - 5/7*b**3.
-b**3*(b - 5)*(4*b - 1)/7
Let g(d) = 3*d**2 + 5238*d - 15948. Let c(l) = -l**2 - 1309*l + 3982. Let q(f) = 9*c(f) + 2*g(f). Factor q(n).
-3*(n - 3)*(n + 438)
Let v(o) = -4*o**2 - o. Let d = 1 - -21. Let x(q) = 15*q**2 + 3*q. Suppose 0 = 39*h + 166 - 400. Let z(l) = d*v(l) + h*x(l). Find m, given that z(m) = 0.
0, 2
Factor 629571*h**2 - 1850694*h**2 + 332*h**4 - 335*h**4 - 1213488 + 3822*h**3 + 2430792*h.
-3*(h - 636)**2*(h - 1)**2
Suppose -4*t + 4*w = -16, 3*t + 2 = 2*t - 2*w. Suppose -t*s + 5 = -1. What is q in 2*q**s - 2*q - 48 - 38 + 86 = 0?
-1, 0, 1
Let b(h) be the first derivative of -27*h + 19*h**3 + 37 + 3/2*h**4 + 12*h**2. Find v, given that b(v) = 0.
-9, -1, 1/2
Let m(l) be the first derivative of -l**4 + 80*l**3/3 - 178*l**2 - 440*l - 605. Let m(j) = 0. What is j?
-1, 10, 11
Let b(r) be the second derivative of -r**4/24 - 15*r**3/4 + 23*r**2/2 + 8*r - 16. Factor b(a).
-(a - 1)*(a + 46)/2
Let i(q) be the first derivative of 21*q - 1/6*q**3 + 1/20*q**5 + 8 + 1/6*q**4 - q**2. Let w(z) be the first derivative of i(z). Factor w(x).
(x - 1)*(x + 1)*(x + 2)
Let k be (-3)/3 - (-183 - 1). What is d in 2613*d**4 + 477 - 468*d**2 - 495 - 501*d**4 - k*d + 432*d**3 = 0?
-1/4, 6/11
Suppose 9*i - 13 = 5*m - 0, i - 4*m = -2. Suppose -256/7*x + 12/7*x**i - 176/7 = 0. Calculate x.
-2/3, 22
Factor -3/4*d**2 + 105 - 93/4*d.
-3*(d - 4)*(d + 35)/4
Let u = -7760 + 69850/9. Find a such that 5/9*a + 1/9 + 1/9*a**5 + u*a**3 + 5/9*a**4 + 10/9*a**2 = 0.
-1
Suppose 0 = -5*j + 75 + 65. Suppose -r = -j + 3. Let -5*m**3 + 15*m**2 + 226*m**4 - 231*m**4 + 13 - 3 + r*m = 0. Calculate m.
-1, 2
Let n(b) be the first derivative of 0*b + 1/2*b**2 + 0*b**4 - 1/10*b**5 + 59 + 1/2*b**3. Factor n(h).
-h*(h - 2)*(h + 1)**2/2
Suppose 0 = -5*p + 2*a - 4*a + 347, 4*p - 5*a - 271 = 0. Let y = 109 - p. Factor 43*g**2 - y*g**2 + g - g - 3.
3*(g - 1)*(g + 1)
Let n(u) = -18*u**3 + 8*u**2 - 88*u - 125. Let d(i) = 10*i**3 - 3*i**2 + 44*i + 63. Let q(h) = 11*d(h) + 6*n(h). Factor q(w).
(w - 3)*(w + 1)*(2*w + 19)
Factor 64/7*r + 1/7*r**2 + 583/7.
(r + 11)*(r + 53)/7
What is f in 2*f**5 + 6182 + 56*f**3 - 6182 - 90*f - 12*f**2 - 20*f**4 = 0?
-1, 0, 3, 5
Let f(s) be the second derivative of -s**4/16 - 159*s**3/8 + 60*s**2 + 570*s. Factor f(x).
-3*(x - 1)*(x + 160)/4
Let n = -23547 + 23549. Let h(v) = 2*v - 3. Let r be h(3). Suppose -26/7*a**n - 8/7*a + 8/7 - 10/7*a**r = 0. What is a?
-2, -1, 2/5
Let g(q) be the third derivative of q**6/360 + 7*q**5/120 + 5*q**4/12 + 137*q**3/6 + 67*q**2 + 2. Let y(a) be the first derivative of g(a). Solve y(m) = 0.
-5, -2
Factor 6272/15*n**2 + 2/15*n**5 + 8192/15*n + 152/15*n**4 + 544/5*n**3 + 0.
2*n*(n + 4)**3*(n + 64)/15
Let x = -267257/35 - -7636. Let d(i) be the first derivative of 10 + 12/7*i + 12/7*i**2 - x*i**5 + 1/7*i**3 - 15/28*i**4 + 1/14*i**6. What is z in d(z) = 0?
-1, 2
Let c(v) = -4*v**2 + 946*v - 126000. Let a(y) = y**2 + 29*y - 1. Let r(d) = 2*a(d) + c(d). Factor r(x).
-2*(x - 251)**2
Suppose 436/3*h**2 - 8/3*h**3 - 1052/3*h + 208 = 0. Calculate h.
1, 3/2, 52
Let j(z) be the third derivative of -z**8/168 - 52*z**7/105 - 5*z**6/6 + 26*z**5/15 + 17*z**4/4 - 2*z**2 + 4*z + 95. Let j(t) = 0. Calculate t.
-51, -1, 0, 1
Let 80/3*s**2 - 52/9*s + 4/9 + 256/9*s**4 - 448/9*s**3 = 0. Calculate s.
1/4, 1
Suppose 3*g + 312 = 7*g + o, g - 2*o = 87. Factor 69*s**2 + 12224*s + 4*s**3 + 96*s**2 + 92*s**2 - 2816*s + g*s**2 + 87808.
4*(s + 28)**3
Let d(n) = n**3 - 2*n**2 + 2*n + 1. Let m(t) = -75*t**3 + 465*t**2 - 140*t - 70. Let l(w) = 70*d(w) + m(w). Factor l(j).
-5*j**2*(j - 65)
Let o(w) = 83*w + 3352 - 17*w**2 + w**3 - 3391 - w**2. Let g be o(7). Suppose -249/4*y**4 + g + 165/2*y**3 - 3*y + 15*y**5 - 141/4*y**2 = 0. What is y?
-1/4, 2/5, 1, 2
Let g(n) be the first derivative of n**4/8 + 19*n**3/6 - 5*n**2 - 436. Let g(a) = 0. What is a?
-20, 0, 1
Factor 81*y**3 - 2623*y + 81 + 92*y**2 + 135*y**2 + 4*y**4 - 725*y + 1452*y + 1503.
(y - 1)*(y + 12)**2*(4*y - 11)
Suppose -9*x + 18 = -7*x. Find z, given that 4*z - 17*z**2 - 6*z**3 - x*z**3 + 11*z**2 + 5*z**3 = 0.
-1, 0, 2/5
Factor -548571*w - 235504*w - 3965*w**2 + 788045 + 139*w**3 - 144*w**3.
-5*(w - 1)*(w + 397)**2
Let z(y) be the first derivative of -3/5*y**2 + 3/5*y + 1/5*y**3 - 105. Factor z(a).
3*(a - 1)**2/5
Let v(x) be the first derivative of 4*x**5/35 + 81*x**4/7 + 612*x**3/7 + 1350*x**2/7 - 5315. Solve v(l) = 0 for l.
-75, -3, 0
Let n(r) be the second derivative of 9*r**5/20 - 29*r**4 + 391*r**3/2 - 315*r**2 - 1903*r. Factor n(x).
3*(x - 35)*(x - 3)*(3*x - 2)
Let q(r) be the first derivative of -59*r**4/6 + 16*r**3/9 + 288. Suppose q(b) = 0. What is b?
0, 8/59
Let o(q) be the third derivative of q**7/1050 + 31*q**6/600 - 17*q**5/50 - 18*q**2 - 38*q + 1. Factor o(z).
z**2*(z - 3)*(z + 34)/5
Let n(s) = -2*s + 50. Let w be n(19). Let t be 3/12 - 3/w. Factor -2*m**2 + 482*m + t*m**2 - 480*m + 4.
-2*(m - 2)*(m + 1)
Let c(q) be the second derivative of q**6/80 - 13*q**5/30 + 65