y) = y**3 + 107*y**2 - 6067*y - 41. Let m be c(41). Factor -5/2 + 5/2*b**2 + m*b.
5*(b - 1)*(b + 1)/2
Let t(j) be the first derivative of j**7/1960 - j**6/420 - 3*j**5/280 + 64*j**3/3 + 108. Let p(a) be the third derivative of t(a). Factor p(w).
3*w*(w - 3)*(w + 1)/7
Let y(p) be the first derivative of -2*p**3/39 + 36*p**2/13 + 18*p + 849. Factor y(g).
-2*(g - 39)*(g + 3)/13
Let u(w) be the third derivative of w**5/120 + 25*w**4/48 + 25*w**3/2 - 1243*w**2 + 1. Suppose u(q) = 0. What is q?
-15, -10
Suppose 4*r = 8*r - t - 3803, -1929 = -2*r - 5*t. Let j = r - 5705/6. Find z, given that j*z**2 - 11/6*z - 1 = 0.
-3/7, 2
Let r(l) be the third derivative of -l**8/336 + l**7/210 + l**6/40 - l**5/60 - l**4/12 + 17*l**2 - 3*l + 2. Find a such that r(a) = 0.
-1, 0, 1, 2
Suppose 4*m + 1 = 13. Let c = -6099 + 42695/7. Factor -4/7*n**2 + c + 4/7*n**m + 2/7*n**4 - 2/7*n - 2/7*n**5.
-2*(n - 1)**3*(n + 1)**2/7
Let w(z) be the first derivative of z**4/6 + 2*z**3/3 - z**2/3 - 2*z - 94. Suppose w(b) = 0. Calculate b.
-3, -1, 1
Let g(v) be the third derivative of -v**7/490 + 101*v**6/280 - 14*v**5/5 + 97*v**4/14 - 2936*v**2. Determine z, given that g(z) = 0.
0, 2, 97
Let h(p) = 759*p**2 - 17458*p + 25. Let d be h(23). Suppose -27/5 - 48/5*k**d + 72/5*k = 0. What is k?
3/4
Suppose 230 + 318*t**3 + 18492*t**2 - 230 + 222*t**3 + 17956*t + 4*t**4 = 0. What is t?
-67, -1, 0
Solve 26541*i + 28284*i**2 + 26442 - 3416*i**3 - 140061*i + 2303*i**3 + 43254 + 12*i**4 = 0.
3/4, 4, 44
Let y(d) = 4*d**4 + 187*d**3 - d**2 - 187*d. Let a(i) = -5*i**4 - 188*i**3 + i**2 + 188*i. Let g(u) = 3*a(u) + 4*y(u). Determine x so that g(x) = 0.
-184, -1, 0, 1
Let a = -5722762/7 - -817542. Determine t, given that 0*t + a*t**3 - 24/7*t**4 + 0*t**2 + 4/7*t**5 + 0 = 0.
0, 2, 4
Let w(f) be the first derivative of -2/9*f**2 - 5/27*f**4 + 1/3*f**3 - 23*f + 32. Let g(l) be the first derivative of w(l). Factor g(x).
-2*(2*x - 1)*(5*x - 2)/9
Let -94*p**2 + 94*p**4 + 3*p**3 - 247566*p + 247594*p + 14*p**5 - 45*p**3 = 0. Calculate p.
-7, -1, 0, 2/7, 1
Let 2/5*r**5 - 22/5*r**4 - 82/5*r**3 + 16*r + 56/5 - 34/5*r**2 = 0. Calculate r.
-2, -1, 1, 14
Let u(l) be the second derivative of 2*l**6/15 + 19*l**5/10 + 23*l**4/3 + 20*l**3/3 - 24*l**2 + 18*l + 28. Suppose u(d) = 0. Calculate d.
-6, -2, 1/2
Let y = -75871835/66818 - 2/33409. Let u = y + 1136. Solve 0*t + 1/2*t**2 - u = 0.
-1, 1
Factor 200/9*u - 200/3 + 2/9*u**3 + 46/9*u**2.
2*(u - 2)*(u + 10)*(u + 15)/9
Let j(s) be the third derivative of s**5/300 + s**4/60 - 13*s**3/2 + 1524*s**2 + s. Suppose j(b) = 0. What is b?
-15, 13
Let n = -260 + 266. Let u(a) = 8*a**3 - 12*a + 32. Let g(l) = -9*l**3 + 10*l - 32. Let w(x) = n*g(x) + 7*u(x). Solve w(v) = 0 for v.
-4, 2
Let z = -361 + 362. Factor -6*x**3 - 47*x**2 + 3*x**4 + 59 + z + 1 + 20 + 54*x + 11*x**2.
3*(x - 3)**2*(x + 1)*(x + 3)
Let h = -270719 - -270722. Solve -22/5*r**4 - 4/5 + 26/5*r**2 + 42/5*r**h - 42/5*r = 0.
-1, -1/11, 1, 2
Let k(w) be the second derivative of 0 + 10/3*w**2 - 56*w - 19/18*w**3 - 1/36*w**4. Factor k(j).
-(j - 1)*(j + 20)/3
Let g(x) = -2*x**2 + 216*x + 12222. Let i be g(149). Factor 0 + 6/5*f**2 + 9/5*f**3 + 0*f + 3/5*f**i.
3*f**2*(f + 1)*(f + 2)/5
Let u(b) be the second derivative of -b**7/315 - b**6/45 - b**5/90 + b**4/6 + 82*b**2 - 262*b. Let s(j) be the first derivative of u(j). Solve s(z) = 0.
-3, -2, 0, 1
Suppose -56*n + 48*n - 3552 = 0. Let p = n - -449. Factor 72/5 + 2/3*l**4 + 0*l - 6*l**2 - 2/3*l**3 + 2/15*l**p.
2*(l - 2)**2*(l + 3)**3/15
Let y(x) be the third derivative of -x**6/90 - 2*x**5/15 - x**4/2 - 35*x**3/3 + 69*x**2. Let d(k) be the first derivative of y(k). Factor d(q).
-4*(q + 1)*(q + 3)
Let k(i) be the third derivative of i**7/4200 - i**5/200 - 9*i**4/8 - 15*i**2 - 1. Let s(h) be the second derivative of k(h). Factor s(a).
3*(a - 1)*(a + 1)/5
Suppose 9*a + 4 = -4*v + 6*a, -3*v + 18 = -3*a. Suppose 3*t - 224 = -2. Solve -2*b**v + b + 2 - t + 23*b = 0.
6
Let p(b) be the third derivative of -b**6/210 - 22*b**5/35 + 45*b**4/14 - 136*b**3/21 - 1066*b**2. What is h in p(h) = 0?
-68, 1
Suppose -30 = -16*u + 6*u. Let p(b) = b**2 + b - 1. Let t(i) = 5*i**4 + 20*i**3 - 18*i**2 - 53*i + 43. Let l(r) = u*p(r) + t(r). Let l(w) = 0. What is w?
-4, -2, 1
Let a(t) be the second derivative of t**6/2160 + 7*t**5/720 + 5*t**4/72 - t**3/3 - 19*t**2/2 + 303*t. Let h(i) be the second derivative of a(i). Factor h(y).
(y + 2)*(y + 5)/6
Suppose -6*f + 0*f + 24 = 0. Suppose 29959 - 24*j + 152*j**3 - 29959 + 16*j**5 - 92*j**f - 52*j**2 = 0. What is j?
-1/4, 0, 1, 2, 3
Let l(q) be the third derivative of 17/30*q**5 + 0 + 4*q**2 - 17/12*q**4 + 2*q**3 - 7/60*q**6 - 2*q + 1/105*q**7. Factor l(b).
2*(b - 3)*(b - 2)*(b - 1)**2
Let z be (-230)/(-55) + (-4)/22 + 0. Suppose -18*x**2 - 9*x**3 + 0*x**z + x + 2*x**4 + 3*x**3 - 11*x = 0. What is x?
-1, 0, 5
Let g = -95 - -94. Let p be (g/2 - -4)*(-24)/(-14). Factor 2 - 2 - 212*a**3 - p*a**2 + 4*a + 214*a**3.
2*a*(a - 2)*(a - 1)
Let l(z) be the third derivative of -z**8/2352 - 2*z**7/147 - 89*z**6/840 - z**5/6 - 3180*z**2. Find v such that l(v) = 0.
-14, -5, -1, 0
Let u(l) be the first derivative of l**5/15 + 26*l**4/3 - 35*l**3/3 - 13746. Factor u(g).
g**2*(g - 1)*(g + 105)/3
Find b, given that 33/4*b + 9*b**2 + b**3 + 2 = 0.
-8, -1/2
Solve -284/5*w - 30246/5 - 2/15*w**2 = 0 for w.
-213
Let q(k) be the first derivative of 0*k + 27/10*k**6 + 0*k**2 - 6 - 207/25*k**5 - 26/5*k**4 - 4/5*k**3. Let q(z) = 0. Calculate z.
-2/9, 0, 3
Let h(x) = x**2 + 11*x + 32. Let i be h(-3). Let v be ((-1)/180*i)/(1/(-10)). Factor 2/9*l - 2/9*l**3 + 4/9*l**2 - v.
-2*(l - 2)*(l - 1)*(l + 1)/9
Suppose -f - 9 + 32 = 0. Let p = 1 + f. Suppose p*d - 5*d**4 - 78*d**3 + 14*d**2 + 46*d**2 + 26*d**4 = 0. Calculate d.
-2/7, 0, 2
Let f(b) be the first derivative of -b**4/14 - 16*b**3/21 + 942. Factor f(h).
-2*h**2*(h + 8)/7
Let f(x) be the third derivative of -x**6/660 + 13*x**5/330 - 14*x**4/33 + 80*x**3/33 - 4*x**2 - 129. Factor f(u).
-2*(u - 5)*(u - 4)**2/11
Suppose -18496*c - 4/7*c**4 - 13056/7*c**2 + 314432/7 - 400/7*c**3 = 0. Calculate c.
-34, 2
Let m(d) be the third derivative of -d**7/5460 + d**6/468 + 7*d**5/390 + 20*d**3/3 - 3*d**2 + 2. Let b(f) be the first derivative of m(f). Factor b(h).
-2*h*(h - 7)*(h + 2)/13
Let z = 776137 + -6984901/9. Factor 2/9*a**2 + z*a + 13778/9.
2*(a + 83)**2/9
Suppose 2704*o + 455276 + 163109 - 161409 - 50*o**2 - 52*o**2 + 106*o**2 = 0. Calculate o.
-338
Let o = -16 + 55. Suppose -o = -2*k - 21. Factor 6 - 7 - l + k*l + 5 + 4*l**2.
4*(l + 1)**2
Let v(i) = -3*i**2 + 18*i + 40. Let m be v(-6). Let c be 44/m*(-18 + -2). Determine x, given that -3/5*x**c + 6/5*x + 9/5*x**4 - 3/5*x**3 - 9/5*x**2 + 0 = 0.
-1, 0, 1, 2
Let o be (0 - (9 + -9))/2. Suppose 4*z - 6 = 3*r - o*z, -3*z = r - 11. Determine m so that -1/3*m**4 - 1/3*m**3 + 1/3*m**5 + 0*m + 1/3*m**r + 0 = 0.
-1, 0, 1
Suppose -78*f + 44 = -56*f. What is a in 435*a**2 - 209*a**2 + 200*a + f*a**3 - 186*a**2 = 0?
-10, 0
Let r(p) be the third derivative of 0*p - 25 - 2*p**2 + 1/3*p**4 - 1/90*p**5 - 20/9*p**3. Let r(k) = 0. Calculate k.
2, 10
Suppose 4 = b + 3*h + 10, 2*h = b - 14. Let y be (-20)/6*b/(-5). Factor -2/5*o**5 + 6/5*o**y + 0*o - 8/5*o**2 + 0 + 0*o**3.
-2*o**2*(o - 2)**2*(o + 1)/5
Let q(r) = 160*r**3 + 13348*r**2 + 18656*r + 5328. Let f(u) = 188*u**3 + 13348*u**2 + 18656*u + 5328. Let h(w) = -5*f(w) + 6*q(w). Factor h(c).
4*(c + 1)*(c + 666)*(5*c + 2)
Let -12*p**3 + 2*p**4 - 49*p**2 - 17*p**2 - p**3 + 10*p**3 - 13*p**3 = 0. Calculate p.
-3, 0, 11
Let d(b) be the third derivative of 0*b - 1/525*b**7 + 0 - 193*b**2 - 4/25*b**5 - 4/15*b**4 - 3/100*b**6 + 0*b**3. Factor d(n).
-2*n*(n + 1)*(n + 4)**2/5
Let p be 1/2 - 972/(-8). Let i = 125 - p. Factor 52*w**3 + 9*w**4 - 7*w - 28*w**i + w + 9*w**2.
3*w*(w + 1)*(w + 2)*(3*w - 1)
Let u(v) be the first derivative of 4*v**3/15 + 48*v**2 + 1158. Factor u(r).
4*r*(r + 120)/5
Let y(l) be the first derivative of 41/5*l**3 - 33/2*l**2 + 24/5*l - 230 + 9/10*l**4. Factor y(g).
3*(g - 1)*(g + 8)*(6*g - 1)/5
Let 52/9*o**2 + 2/9*o**4 - 80/3*o + 10/3*o**3 + 0 = 0. What is o?
-12, -5, 0, 2
Let k be 5/28*(-5523)/(-1315). Factor k*c**3 + 1/4*c - 1/4*c**4 - 3/4*c**2 + 0.
-c*(c - 1)**3/4
Let f(p) be the third derivative of p**7/735 + p**6/35 - 7*p**5/15 - 19*