) = 11*q - 13. Let w(f) = 57*f - 65. Let l(c) = -4*w(c) + 22*x(c). Let t be l(2). Factor -2/17*r**4 - 10/17*r**3 - 14/17*r**t + 0 - 6/17*r.
-2*r*(r + 1)**2*(r + 3)/17
Let b = -44947/15 - -8990/3. Factor 0 - 2*k - b*k**2.
-k*(k + 10)/5
Let j(i) = i**3 - 14*i**2 + 25*i - 12. Let u be j(12). Suppose l + 4*l - 20 = u. Factor 10/11*b**2 - 4/11*b + 0 + 2/11*b**l - 8/11*b**3.
2*b*(b - 2)*(b - 1)**2/11
Let q(p) be the second derivative of 4 + 1/15*p**6 + 0*p**3 - 3/2*p**5 - 24*p + 0*p**2 + 7/3*p**4. Suppose q(w) = 0. Calculate w.
0, 1, 14
Let f be (-5 - -1 - 3)/(2/(-4)). Suppose 0 = f*s - 11 - 17. Factor 32/5*t**3 - 6*t + 4/5 + 48/5*t**s.
2*(t + 2)*(4*t - 1)**2/5
Suppose 2*f + 22 = -4*h + 24, f = -3*h. Determine b so that -b**4 + 7*b + 3*b**2 - 2*b**2 - 14*b**f + 31*b - 24*b = 0.
-14, -1, 0, 1
Let x be 1/(-4) + (-1673)/28. Let l be (0 - -1)*(x/(-12) - 5). What is d in 1/4 + 1/4*d**4 - 1/2*d**2 + 0*d**3 + l*d = 0?
-1, 1
Let z(l) be the third derivative of -2/15*l**5 + 0*l + 2 - 2/3*l**3 - 1/60*l**6 - 5/12*l**4 + 76*l**2. Determine a so that z(a) = 0.
-2, -1
Suppose 129*m - 45 - 105 + 124 - 490 = 0. Factor -75/4*l**m - 345/4*l**3 - 3/4*l**5 + 147 + 1515/4*l**2 - 420*l.
-3*(l - 1)**3*(l + 14)**2/4
Let u(y) be the first derivative of -5*y**6/18 - 5*y**5/3 + 5*y**4/4 + 85*y**3/9 + 25*y**2/3 + 126. Let u(f) = 0. What is f?
-5, -1, 0, 2
Let m(s) = 2*s**3 - 4*s**2 - 157*s + 316. Let j be m(2). Factor 0 - 2*k**j + 2*k + 1/2*k**3.
k*(k - 2)**2/2
Let f(t) be the first derivative of -1/5*t**2 + 1/15*t**3 + 0*t - 242 - 1/25*t**5 + 3/20*t**4 - 1/30*t**6. Let f(i) = 0. Calculate i.
-2, -1, 0, 1
Let n(v) be the third derivative of v**6/216 + v**5/24 + 7*v**3 + 139*v**2. Let i(l) be the first derivative of n(l). Factor i(u).
5*u*(u + 3)/3
Suppose 0 = 16*a - 13*a - n - 201, 101 = 2*a + 3*n. Factor 8*p + a + 1/4*p**2.
(p + 16)**2/4
Let n(u) = -45*u + 3. Let s be n(-6). Determine m, given that 36*m**4 + 19*m**2 + 168*m**3 + 113*m + 64 + s*m**2 - 33*m + 144*m = 0.
-4/3, -1
Let h(r) be the second derivative of 299209*r**5/80 + 97913*r**4/16 - 1815*r**3/8 + 25*r**2/8 - 1701*r - 1. Factor h(d).
(d + 1)*(547*d - 5)**2/4
Let q(z) be the second derivative of 7*z**6/50 - 657*z**5/100 + 65*z**4/2 - 84*z**3/5 - 3018*z. Solve q(u) = 0.
0, 2/7, 3, 28
Suppose 29*q - 280 = 15*q. Factor -q*r + 15 - 5*r**2 + 18 - 8.
-5*(r - 1)*(r + 5)
Suppose 0 = -27*u + 22*u + 35. Let j(h) = h**2 + 16. Let b be j(u). Factor b*d - 43*d + 4*d**2 - 34*d.
4*d*(d - 3)
Let o be 86/(-43) - 14/3*-3. Suppose -1 + r + 5*r**3 - 4*r**3 - r + o*r**2 - r - 11*r**2 = 0. Calculate r.
-1, 1
Let k(z) = 5*z**2 - 5*z + 30. Let u(n) be the third derivative of -1/24*n**4 + 2*n**2 + 1/6*n**3 + 0 + 0*n. Let h(y) = -k(y) + 20*u(y). Factor h(o).
-5*(o + 1)*(o + 2)
Let a(p) be the third derivative of -p**8/20160 - p**7/2520 - p**6/1080 + 19*p**4/12 + 100*p**2. Let c(d) be the second derivative of a(d). Factor c(m).
-m*(m + 1)*(m + 2)/3
Let n(x) be the third derivative of x**9/12096 + x**8/336 - 17*x**5/60 - x**3/6 - 26*x**2. Let j(f) be the third derivative of n(f). Factor j(b).
5*b**2*(b + 12)
Suppose -2*q = k - 31, 4*q + 3*k = 78 - 11. Let w be 2/q + 6/(-39). Find g, given that 4/9*g**2 - 2/9*g**5 + w + 2/3*g**3 + 0*g + 0*g**4 = 0.
-1, 0, 2
Suppose 25*k = 13554 - 13404. Let u(r) be the first derivative of 0*r - 1/2*r**k + 0*r**2 - 6/5*r**5 + 0*r**3 + 1 - 3/4*r**4. Let u(t) = 0. What is t?
-1, 0
Let z(t) be the third derivative of -t**6/40 - 59*t**5/10 + t**4/8 + 59*t**3 - t**2 + 357. Factor z(a).
-3*(a - 1)*(a + 1)*(a + 118)
Let j(t) be the first derivative of 0*t**3 + 1 + 0*t**2 + 1/2*t**6 + 3/5*t**5 + 0*t + 0*t**4. Determine r, given that j(r) = 0.
-1, 0
Let w(p) = 4*p**3 + 174*p**2 - 4053*p - 3. Let d(q) = -q**3 + 3*q**3 + 77 - q - 2*q**2 - 78. Let k(v) = -3*d(v) + w(v). Solve k(f) = 0.
0, 45
Let u(c) be the first derivative of 5*c**4/4 + 100*c**3/3 + 95*c**2/2 + 1212. Determine s so that u(s) = 0.
-19, -1, 0
Let b = 97/1005 - 2/67. Let k(d) be the third derivative of 5/6*d**4 - 27*d**2 + 4*d**3 + 0*d + 0 - b*d**5. Factor k(a).
-4*(a - 6)*(a + 1)
Factor 368/3*o**2 + 1/3*o**4 - 123 - 370/3*o + 370/3*o**3.
(o - 1)*(o + 1)**2*(o + 369)/3
Let -123 + 92*t - 195 - 77 + 876*t**2 - 13 - 880*t**2 = 0. What is t?
6, 17
Let g(j) = j**2 + 8*j + 5. Let v be g(-8). Let m be 10/4*((-15)/v + 5). Factor -m*f**2 + f**2 - f + 9*f + 12.
-4*(f - 3)*(f + 1)
Factor 1033/6*v - 823/6*v**2 + 1/6*v**4 - 69 + 203/6*v**3.
(v - 2)*(v - 1)**2*(v + 207)/6
Let m(n) = n**3 - 2*n**2 + 4*n - 2. Let h be m(2). Let g be 1/h + (1462/84)/43. Let 16/7*w**2 + 8/7*w - 8/7*w**3 - 12/7*w**4 - g = 0. Calculate w.
-1, 1/3, 1
Let s be 52 + (-16)/((-384)/(-1230)). Factor s*o**2 - 6*o + 12.
3*(o - 4)**2/4
Factor 0 + 1/5*l**3 - 612/5*l + 304/5*l**2.
l*(l - 2)*(l + 306)/5
Let q(m) = 85*m**2 + 1012*m + 3588. Let s(z) = -35*z**2 - 405*z - 1435. Let d(o) = -5*q(o) - 12*s(o). Solve d(p) = 0.
-36, -4
Suppose 8*t = -4404 + 4428. Let g be 50/(-20)*8/(-70). Determine d so that g*d**2 + 0 - 6/7*d**t + 2/7*d - 10/7*d**4 - 4/7*d**5 = 0.
-1, 0, 1/2
Let x(c) = 2*c**2 + 2*c + 1. Let f = -349 + 354. Let y(s) = 47*s**2 + 45*s + 3. Let j(k) = f*x(k) - y(k). Factor j(b).
-(b + 1)*(37*b - 2)
Let o(m) be the third derivative of -m**8/2520 - m**7/252 - m**6/135 - 65*m**3/6 - 31*m**2 + 1. Let j(c) be the first derivative of o(c). Solve j(z) = 0.
-4, -1, 0
Suppose 4*q = -16*q + 40. Suppose -4*u - 4 = -3*k + u, -k + 4*u - 1 = 0. Factor -31*r**3 + 16 + 109*r**k + 24*r**4 + 148*r**q - 32*r**2 + 72*r - 6*r**4.
2*(r + 1)*(r + 2)*(3*r + 2)**2
Suppose -4*q = t - 67, 3441*q = 5*t + 3438*q + 33. Factor 13/6*s**t + 1/3*s**2 - 7/6*s**4 + 0 + 0*s.
-s**2*(s - 2)*(7*s + 1)/6
Let i(x) be the first derivative of 40*x + 14*x**2 + 153 - 16/3*x**3 - x**4. Factor i(m).
-4*(m - 2)*(m + 1)*(m + 5)
Let q(l) be the first derivative of l**5/90 - 19*l**4/36 - 20*l**3/9 + l**2/2 - 11*l - 92. Let a(s) be the second derivative of q(s). Let a(d) = 0. What is d?
-1, 20
Let w(g) = -2*g + 16. Let u(a) = a**2 - 22*a + 28. Let d be u(21). Let i be w(d). Factor 2*x**2 + 2*x + 8*x + 4 + 6*x**2 + i*x**3.
2*(x + 1)**2*(x + 2)
Let h(y) be the second derivative of 2/45*y**6 + 0*y**2 + 2/63*y**7 - 1/3*y**5 + 53*y + 1/3*y**4 + 0*y**3 + 0. Factor h(a).
4*a**2*(a - 1)**2*(a + 3)/3
Let c(k) be the third derivative of -k**7/420 - 11*k**6/180 - 7*k**5/60 + k**4/12 - 2*k**3/3 + 4*k**2. Let f(y) be the second derivative of c(y). Factor f(d).
-2*(d + 7)*(3*d + 1)
Let q = -161 - -164. Let g = 58293/9275 + 1/1325. Find j, given that -64/7*j**2 - 8/7 - 4*j**q - g*j = 0.
-1, -2/7
Let t be 49/28*9/7*2/9. Let d(j) be the third derivative of -3/8*j**4 + 0*j + 9*j**2 + 0 + 1/112*j**8 + 1/20*j**6 - 1/10*j**5 + 3/70*j**7 - t*j**3. Factor d(u).
3*(u - 1)*(u + 1)**4
Let f(y) = -2*y**2 + 25*y + 15. Let h be f(11). Suppose 0 = -h*j + 49*j - 114. Factor 28 - 208*l + 9 + 224*l**2 - 5 + j*l**2.
2*(13*l - 4)**2
Let d(j) be the first derivative of 2*j**5/5 + 141*j**4/2 + 10076*j**3/3 + 4620*j**2 - 19600*j - 1098. Solve d(p) = 0 for p.
-70, -2, 1
Let j(i) be the first derivative of 2*i**4 + 682*i**3/3 + 2549*i**2 + 1232*i - 1445. Factor j(q).
2*(q + 8)*(q + 77)*(4*q + 1)
Suppose 20 - 2 = 3*s. Suppose -3 = -p - f, -4*f = 2*p - 0*f - s. Find h, given that 0 - 2/3*h**4 - 16/3*h**2 - 32/3*h + 14/3*h**p = 0.
-1, 0, 4
Factor 2/13*z**3 - 3326/13*z**2 + 106240*z + 106496.
2*(z - 832)**2*(z + 1)/13
Let o(g) be the third derivative of -g**6/6 - 68*g**5/15 + 194*g**4/3 - 96*g**3 + 2*g**2 + 357*g. Factor o(h).
-4*(h - 4)*(h + 18)*(5*h - 2)
Let u(r) be the second derivative of -r**6/30 + 31*r**5/20 + 11*r**4/12 - 1477*r**3/2 - 2205*r**2 + 16*r - 13. Let u(k) = 0. Calculate k.
-10, -1, 21
Let p(s) = 37*s**2 + 5*s + 5. Let o be p(-1). Suppose -o*t + 50*t = 26. Factor 2/9*f**t - 16/9*f + 32/9.
2*(f - 4)**2/9
Solve -22 - 3/8*v**2 - 1/8*v**3 + 9*v = 0.
-11, 4
Let -64/13*v**2 - 24/13*v**3 + 2/13*v**5 + 128/13*v + 0 + 8/13*v**4 = 0. Calculate v.
-4, 0, 2
Let i(v) = -v**2 - 8*v - 2. Let c be i(-7). Let h be -31 + 37 - 29/c. Factor -12/5*a + 0*a**2 + h*a**3 - 16/5.
(a - 4)*(a + 2)**2/5
Let y(a) be the first derivative of a**6/24 - 7*a**5/10 + 69*a**4/16 - 35*a**3/3 + 25*a**2/2 - 788. Factor y(f).
f*(f - 5)**2*(f - 2)**2/4
Let a be (-829)/1540 + (19 - 19) - 12/(-22). Let h(d) be the t