
-5*(a - 8)*(a - 4)*(a - 2)**2
Let m(p) be the first derivative of 28*p**3 + 8*p - 55 + 25/2*p**4 + 25*p**2 + 8/5*p**5. Solve m(n) = 0.
-4, -1, -1/4
Let d(w) be the third derivative of -9*w + 1/18*w**4 - 4*w**2 + 8/27*w**3 + 1/270*w**5 + 0. Find f such that d(f) = 0.
-4, -2
Let n be (30/18)/(0 + (-5)/(-9)). Factor -9/8*d**2 - 11/8 + 1/8*d**n - 21/8*d.
(d - 11)*(d + 1)**2/8
Suppose -5*i - 541 = -66. Let o = 246 + i. Solve -2*w**2 + 281*w - 10 - 142*w - o*w = 0 for w.
-5, -1
Suppose -2 + 30 = 14*s. Let 0*l**2 - 18*l + 33*l - l**2 - 12 - s*l**2 = 0. What is l?
1, 4
Let 230/7*y + 0 - 31*y**2 - 2*y**3 + 1/7*y**4 = 0. What is y?
-10, 0, 1, 23
Let z(c) be the first derivative of -c**4/90 - 2*c**3/45 + c**2/5 + 71*c - 115. Let y(d) be the first derivative of z(d). Determine p, given that y(p) = 0.
-3, 1
Let b be (-18 + 2 - (-4 + 2))/(-159 + 151). Let l(n) be the second derivative of 1/24*n**4 + 2/3*n**3 - n + 0 + b*n**2. Factor l(u).
(u + 1)*(u + 7)/2
Let w(r) be the second derivative of r**4/12 + 25*r**3/3 - 166*r - 2. Suppose w(d) = 0. What is d?
-50, 0
Let b(j) = -j**2 - 8*j - 13. Let c be b(-6). Let v be (-6 + -63)*(-2 - c). Solve 594*t + 369*t - 105*t**2 - 228*t - 1715 - v*t**3 + 74*t**3 = 0 for t.
7
Let t(b) be the second derivative of 275*b**4/36 + 305*b**3/18 + 5*b**2 + 548*b. Solve t(p) = 0 for p.
-1, -6/55
Let o(r) be the first derivative of -3*r**4/20 - 38*r**3/5 - 108*r**2/5 + 1. Factor o(z).
-3*z*(z + 2)*(z + 36)/5
Let a(s) = -s**3 - 11*s**2 + s - 130. Let c be a(-12). Factor -6*x**3 - 93/2*x - 87/2*x**c - 9.
-3*(x + 1)*(x + 6)*(4*x + 1)/2
Let u be (-552)/(-84) - 8/14. Suppose 0 = v - 4*v + u, -2*y - 3*v + 10 = 0. Determine n so that -n - 3*n**3 - 4*n**2 + 3 - n**2 + 2*n**y + 4*n = 0.
-1, 1
Suppose 4*d - 6 - 2 = 0. Let i(n) be the first derivative of -12*n**2 - 8*n + n**2 + 3*n - 5*n**3 + n**2 - d. Factor i(s).
-5*(s + 1)*(3*s + 1)
Let a(h) = -4*h + 20. Let g be a(-12). Let o = -64 + g. Factor 27/5*d**2 + 21/5*d + 3/5*d**o + 3*d**3 + 6/5.
3*(d + 1)**3*(d + 2)/5
Factor -2622*b**3 - 2625*b**3 + b**4 + 2*b**4 + 4 - 2*b - 6*b**2 + 5249*b**3 - b**4.
2*(b - 1)**2*(b + 1)*(b + 2)
Let k = -156564/5 - -31320. Let l(c) be the second derivative of 44/15*c**4 + 0 - 46*c + 7/25*c**5 + k*c**2 + 10*c**3. Solve l(u) = 0 for u.
-3, -2/7
Let d = 564 + -508. Suppose 16*t - d + 24 = 0. Suppose 0*j**3 - 1/9*j**5 + 2/9*j**t + 0 - 2/9*j**4 + 1/9*j = 0. What is j?
-1, 0, 1
Solve -2*b**3 - 7*b**2 + 378 + 60*b**2 - 185*b**2 - 213*b - b**3 - 30*b = 0 for b.
-42, -3, 1
Let c = -588 - -591. Let -10*d - 20*d**3 + 10*d**3 - 6*d**2 + 3*d + 9*d**c + 14*d**2 = 0. What is d?
0, 1, 7
Suppose -136 - 169 = -61*g. Factor 0 - 72/5*u**3 - 24/5*u**4 - 96/5*u**2 - 48/5*u - 3/5*u**g.
-3*u*(u + 2)**4/5
Suppose -48/7*g + 36/7*g**4 + 18*g**2 + 0 - 3/7*g**5 - 111/7*g**3 = 0. Calculate g.
0, 1, 2, 8
Let i(h) = 11*h**5 + 19*h**4 + 12*h**3 - 73*h**2 - 134*h - 48. Let n(d) = d**5 + d**4 + 2*d**3 + d**2 - 2*d. Let z(j) = 2*i(j) - 18*n(j). Solve z(k) = 0 for k.
-4, -2, -1, 3
What is k in 192*k**3 - 647*k**3 - 260*k**5 + 305*k**5 + 84*k**2 + 132*k**2 + 60*k + 190*k**4 - 56*k**2 = 0?
-6, -2/9, 0, 1
Let y be (-9280)/2310 + (-32)/88. Let n = y + 106/21. Factor -n*l - 4/3 + 2*l**2.
2*(l - 1)*(3*l + 2)/3
Suppose 3*a + 900 = 8*a. Let t be (169/2)/(-4*(-5)/280). Factor -838*j**2 - 1338*j**2 - t*j**4 - 16 + a*j + 140*j - 2197*j**5 + 5252*j**3.
-(j - 1)*(j + 2)*(13*j - 2)**3
Let p(t) be the third derivative of t**6/60 - t**5/60 + t**4/4 - 5*t**3/6 + 16*t**2 - 9*t. Let c be p(1). Factor 4/5*y - 2/5*y**3 + 1/5*y**4 + 4/5 - 3/5*y**c.
(y - 2)**2*(y + 1)**2/5
Suppose 554*a + 20 = 558*a - 5*i, -2*a + 12 = -3*i. Find n, given that a - 1/3*n**2 + 13/3*n = 0.
0, 13
Let s(y) be the first derivative of -63*y**5/5 + 69*y**4/8 + 5*y**3 + 2246. Factor s(v).
-3*v**2*(6*v - 5)*(7*v + 2)/2
Let r(j) = -j - 5. Let s be 154/(-21) + (-1)/(-3). Let n be r(s). Factor -146*g + 2*g**n + 14*g**2 - 7*g**3 + 142*g.
-g*(g - 2)*(7*g - 2)
Factor 207*g**2 - 209*g**2 + 5536*g + 2808*g - 3466253 - 5236539.
-2*(g - 2086)**2
Let 2735/6*k + 1/6*k**2 + 0 = 0. What is k?
-2735, 0
Let s(m) be the first derivative of 1/6*m**4 - 53*m + 7/20*m**5 + 1 + 0*m**3 + 0*m**2 - 2/15*m**6. Let k(h) be the first derivative of s(h). Factor k(a).
-a**2*(a - 2)*(4*a + 1)
Let m(p) be the third derivative of 5*p**8/336 - 13*p**7/14 + 239*p**6/24 - 493*p**5/12 + 175*p**4/2 - 320*p**3/3 - 7*p**2 + 768*p. Solve m(x) = 0 for x.
1, 4, 32
Let k(o) be the first derivative of 3*o**2/2 - 26*o + 153. Let q be k(10). Factor -3/11*n**q + 1/11*n**5 + 0*n + 0 + 0*n**2 + 2/11*n**3.
n**3*(n - 2)*(n - 1)/11
Let v(t) be the third derivative of -t**9/2880 + t**8/1344 + t**7/840 - 4*t**5/5 + 125*t**2. Let f(i) be the third derivative of v(i). Factor f(k).
-3*k*(k - 1)*(7*k + 2)
Let f(g) be the first derivative of -116 - 16/3*g**6 + 784*g**2 - 134*g**4 - 272/5*g**5 - 1372*g + 644/3*g**3. Determine t so that f(t) = 0.
-7/2, 1
Let g(f) = -4*f**5 - 16*f**4 - 24*f**3 + 4*f**2 + 16*f. Let n(j) = j**3 + j**2. Suppose 0*i - 72 = -6*i. Let b(h) = i*n(h) + g(h). What is s in b(s) = 0?
-2, -1, 0, 1
Let f(z) = 21*z**2 + 13*z - 7. Let k = -100 + 95. Let n be 1*k*(-8)/(-10). Let y(i) = 10*i**2 + 7*i - 4. Let p(d) = n*f(d) + 7*y(d). Factor p(s).
-s*(14*s + 3)
Let j(i) be the third derivative of i**6/420 - 13*i**5/105 - 11*i**4/4 + 116*i**2 + 8*i + 2. Factor j(p).
2*p*(p - 33)*(p + 7)/7
Factor -3/2 - 31/4*h + 5/4*h**3 - h**2.
(h - 3)*(h + 2)*(5*h + 1)/4
Let s(w) be the third derivative of 0*w + 1/60*w**5 - 2/9*w**4 + 0 - 160*w**2 + 5/18*w**3. Suppose s(y) = 0. What is y?
1/3, 5
Let h(m) be the first derivative of -26*m + 2/3*m**3 + 0*m**2 + 1/6*m**4 - 12. Let y(v) be the first derivative of h(v). Factor y(k).
2*k*(k + 2)
Let k(c) be the first derivative of -2*c**5/65 - 33*c**4/26 - 42*c**3/13 + 3969*c**2/13 + 2198. Factor k(a).
-2*a*(a - 9)*(a + 21)**2/13
Let f be (2*(-5)/180)/((-9)/27). Determine b so that f*b**2 + 1/2 - 2/3*b = 0.
1, 3
Let c(g) = -g**2 - 6*g - 2. Let x(z) = -10*z + 69. Let q be x(7). Let o be c(q). Factor 4/9*v - 2/9 - 4/9*v**o + 0*v**2 + 2/9*v**4.
2*(v - 1)**3*(v + 1)/9
Let o(c) be the first derivative of -3*c**5/20 + 3*c**4/2 - 21*c**3/4 + 27*c**2/4 - 883. Factor o(v).
-3*v*(v - 3)**2*(v - 2)/4
Suppose -32075*s + 32036*s = 0. Determine o so that 1/4*o**5 + 0*o**3 + 0 - o**4 + 0*o**2 + s*o = 0.
0, 4
Let s(q) = 21 - 12 + q + 20. Let y be s(-26). Find m, given that -y + 53 + 0*m**2 + 0*m**2 - 20*m + 2*m**2 = 0.
5
Let g = 18 - -18. Find m such that 10 + g*m**2 + 19*m**2 + 7*m - 54*m**2 = 0.
-5, -2
Let w(o) = -o**3 - 39*o**2 - 41*o - 119. Let t be w(-38). Let f be t - 1 - (21/(-9) - 4). Factor -1/9*c**2 - 2/9 - f*c.
-(c + 1)*(c + 2)/9
Let n(s) be the second derivative of -s**5/140 + 45*s**4/28 - 2025*s**3/14 - 289*s**2/2 - 57*s. Let c(r) be the first derivative of n(r). Solve c(x) = 0 for x.
45
Factor -21*y**3 + 192*y + 59*y**2 - 63*y + 54 + 108*y + 103*y**2.
-3*(y - 9)*(y + 1)*(7*y + 2)
Let r(s) be the first derivative of 1/9*s**3 + 10 + 2/3*s + 1/2*s**2. Factor r(o).
(o + 1)*(o + 2)/3
Let q(f) = f**2 + 3893*f - 241191. Let g be q(61). Solve -3/2 + 0*m**2 - 9/4*m + 3/4*m**g = 0 for m.
-1, 2
Let k(r) be the third derivative of r**8/90720 - r**7/2835 + 2*r**6/405 + 61*r**5/60 + 15*r**2. Let c(x) be the third derivative of k(x). Factor c(a).
2*(a - 4)**2/9
Factor -2/3*g**3 - 16*g + 32/3 + 6*g**2.
-2*(g - 4)**2*(g - 1)/3
Factor -436 + 3053/2*m - 7/4*m**2.
-(m - 872)*(7*m - 2)/4
Suppose 7*u - 2*u - 25 = 0. Suppose 0 = u*p - 15. Factor 4*r**3 + 7*r**3 - 16*r**p.
-5*r**3
Let a(p) be the second derivative of -p**5/20 + 181*p**4/6 + 727*p**3/6 + 182*p**2 + p - 1022. Let a(z) = 0. Calculate z.
-1, 364
Let z(i) be the third derivative of -i**8/1680 - i**7/360 - 2*i**6/405 - i**5/270 - 5*i**3 + 50*i**2. Let f(j) be the first derivative of z(j). Factor f(g).
-g*(g + 1)*(3*g + 2)**2/9
Let v(x) be the third derivative of x**8/84 + 8*x**7/105 - x**6/2 - 14*x**5/15 + 14*x**4/3 + 16*x**3 - x**2 - 162. Let v(p) = 0. Calculate p.
-6, -1, 2
Let y be 10/3 - (6 - 68/12). Suppose -y*f - 11*f + 2*f = 0. Factor 1/4*m**4 - 3/4*m**2 + 1/2*m + 0*m**3 + f.
m*(m - 1)**2*(m + 2)/4
Let g be 13/91*137 + -17. Suppose 58/7*c**2 + 8/7 - 48/7*c - g*c**3 = 0. What is c?
2/9, 1, 2
Factor 2/7*c**3 + 180/7*c + 6*