actor 6 + 11/4*d + 1/4*d**2.
(d + 3)*(d + 8)/4
Let t(x) = x**2 - 9*x + 4. Let f be t(9). Factor -7*s - 9*s + 48*s**4 - 32*s**2 - 20*s**3 - 52*s**f.
-4*s*(s + 1)*(s + 2)**2
Let q = 363/217 - -19/31. Let d(f) be the first derivative of 10 + 12/7*f**3 - q*f + 28*f**5 - 49*f**6 + 83/2*f**4 - 52/7*f**2. Suppose d(g) = 0. Calculate g.
-2/7, 1/3, 1
Let d(h) = 198*h**2 + 362*h + 161. Let t(n) = 991*n**2 + 1809*n + 801. Let x(c) = -11*d(c) + 2*t(c). Suppose x(r) = 0. Calculate r.
-13/14
Factor -5/4*z**3 - 25/2*z + 65/4*z**2 - 30.
-5*(z - 12)*(z - 2)*(z + 1)/4
Factor 2/13*h**2 + 12/13 + 14/13*h.
2*(h + 1)*(h + 6)/13
Factor 3/7 - 6/7*s**3 + 2/7*s**2 - 5/7*s**4 + s - 1/7*s**5.
-(s - 1)*(s + 1)**3*(s + 3)/7
Suppose 0 = 24*o - 27*o + 9. Let v be o*(1 - 1/9*8). Solve 5/3*r**2 + 4/3 + 8/3*r + v*r**3 = 0 for r.
-2, -1
Let z = 1063 - 1063. Let j be (2 - 2)*(-1)/(-2). Suppose -r**2 + r**4 + j - 1/2*r**5 + z*r**3 + 1/2*r = 0. What is r?
-1, 0, 1
Let l(h) be the first derivative of h**6/15 - h**4/5 + h**2/5 + 54. Factor l(p).
2*p*(p - 1)**2*(p + 1)**2/5
Let p(k) = 1037*k + 2077. Let l be p(-2). Suppose -1/3*c**l - 2/3*c**2 + 0 - 1/3*c = 0. Calculate c.
-1, 0
Suppose -49*a - 100 = -51*a. Suppose -50 + a = 4*w. Find o such that -1/5*o**2 - 3/5*o**3 + w + 2/5*o = 0.
-1, 0, 2/3
Let y(a) be the second derivative of -a**7/42 + a**6/10 - a**5/10 - a**4/6 + a**3/2 - a**2/2 - 195*a. Factor y(v).
-(v - 1)**4*(v + 1)
Suppose 176*h - 169*h = 28. Solve -f**5 + 4/5*f**3 + 1/5*f + 2/5 + 8/5*f**h - 2*f**2 = 0.
-1, -2/5, 1
Suppose -n - 34 = -36. Let g(m) be the first derivative of 1/2*m**n - 2/3*m**3 + 1/4*m**4 + 0*m + 6. Factor g(q).
q*(q - 1)**2
Let w = 4580 - 22888/5. Factor -8/5*b + 2/5*b**4 + 2*b**3 - 16/5 + w*b**2.
2*(b - 1)*(b + 2)**3/5
Let n = 202 - 202. Let b(y) be the second derivative of 4*y + 1/2*y**2 + 0*y**3 + 1/80*y**5 - 1/16*y**4 + n. Let b(q) = 0. What is q?
-1, 2
Let y(j) be the third derivative of -j**6/160 + 11*j**5/80 + j**4/32 - 11*j**3/8 - 87*j**2. Factor y(q).
-3*(q - 11)*(q - 1)*(q + 1)/4
Let n(g) be the first derivative of g**5/150 - g**4/15 + g**3/5 - 2*g**2 + 19. Let v(u) be the second derivative of n(u). Factor v(a).
2*(a - 3)*(a - 1)/5
Let v(j) be the second derivative of -j**8/1344 - 5*j**7/1512 - j**6/432 + j**5/72 + 2*j**4/3 + 6*j. Let f(o) be the third derivative of v(o). Factor f(d).
-5*(d + 1)**2*(3*d - 1)/3
Suppose -d - 2 = -2*h, 5 = -58*d + 56*d + 5*h. Factor d - 2/9*l**2 + 0*l + 2/9*l**3.
2*l**2*(l - 1)/9
Let m = 13864/29 + -478. Let k = m - -23/87. Suppose 2/3*p - 2/3*p**3 + 0 - 1/3*p**2 + k*p**4 = 0. What is p?
-1, 0, 1, 2
Let l(h) be the third derivative of h**5/40 - h**3 - 238*h**2. Determine k, given that l(k) = 0.
-2, 2
Suppose 0 = -12*g + 9*g - 102. Let r = g - -106/3. Let -r*m**3 - 2/9*m - 2/9*m**5 - 8/9*m**2 + 0 - 8/9*m**4 = 0. Calculate m.
-1, 0
Let k(n) be the second derivative of n**7/3780 - n**6/1620 - n**5/108 - n**4/36 + 7*n**3 + 33*n. Let s(v) be the second derivative of k(v). Factor s(y).
2*(y - 3)*(y + 1)**2/9
Let n(g) = -24*g**3 + 29*g**2 + 51*g + 6. Let r(a) = 16*a**3 - 19*a**2 - 34*a - 4. Let j(h) = 5*n(h) + 8*r(h). Solve j(y) = 0.
-1, -1/8, 2
Let o be 12/2*8/12. Let p = 1766/4137 + 1/591. Factor -6/7*z**2 + p + 27/7*z**o - 36/7*z**3 + 12/7*z.
3*(z - 1)**2*(3*z + 1)**2/7
Suppose 5*z - 18 = 5*s + 7, -z + 5 = 2*s. Solve 3/4*d**3 + 0*d + 3/4*d**z + 2*d**4 - 1/2*d**2 + 0 = 0.
-2, -1, 0, 1/3
Let n = 131 + -136. Let i(j) = -4*j**2 - 22*j - 7. Let g be i(n). Factor -2/7*k**g + 4/7 + 6/7*k + 0*k**2.
-2*(k - 2)*(k + 1)**2/7
Factor 1/3*f**3 - 2 + 0*f**2 - 7/3*f.
(f - 3)*(f + 1)*(f + 2)/3
Let k be 56/(-70) - 143/(-110). Factor -3/2*f**2 + 5/8*f**3 + k*f + 0.
f*(f - 2)*(5*f - 2)/8
Find o, given that -38*o**2 + 6 - 3 - 23*o + 5 + 35*o + 30*o**2 = 0.
-1/2, 2
Let z = 261633/228935 - -1/32705. Factor 0*o - z + 2/7*o**3 + 6/7*o**2.
2*(o - 1)*(o + 2)**2/7
Let r(c) be the third derivative of c**8/50400 - c**7/4200 - c**6/450 + c**5/3 - 3*c**2. Let a(m) be the third derivative of r(m). Factor a(s).
2*(s - 4)*(s + 1)/5
Let s(l) be the second derivative of -l**7/2520 - l**6/540 + l**3/2 - 12*l. Let i(t) be the second derivative of s(t). Solve i(w) = 0 for w.
-2, 0
Let w(x) be the second derivative of 2/15*x**5 + 0*x**3 + 0 - 7/60*x**6 - 1/18*x**4 - 10*x + 1/28*x**7 + 0*x**2. Factor w(a).
a**2*(a - 1)*(3*a - 2)**2/6
What is x in 12/7*x**3 - 32/7 - 48/7*x - 2/7*x**4 - 2/7*x**2 = 0?
-1, 4
Let 1/2*n**2 + 29/2*n + 0 = 0. Calculate n.
-29, 0
Let y(p) be the second derivative of -p**7/105 + 8*p**6/75 + 19*p**5/50 + p**4/3 - 195*p. Factor y(i).
-2*i**2*(i - 10)*(i + 1)**2/5
Suppose -j = -j + 8*j. Let y(d) be the second derivative of -3*d - 1/15*d**5 - 2/9*d**4 + 4/3*d**2 + 2/9*d**3 + j. Factor y(m).
-4*(m - 1)*(m + 1)*(m + 2)/3
Let j(i) = -i. Let l be j(-5). Let v = -143 + 145. Let -l*m**3 - 70*m**2 + 67*m**2 - v*m**3 + 4*m**3 = 0. What is m?
-1, 0
Let z(s) be the third derivative of 1/8*s**3 + 0 - 1/480*s**6 + 5/96*s**4 + 0*s + 1/240*s**5 - 4*s**2. Factor z(o).
-(o - 3)*(o + 1)**2/4
Let -3/4*u**2 - 3*u + 9 = 0. What is u?
-6, 2
Let 9/4*x**3 - 21*x - 1/2*x**2 - 1/4*x**4 - 18 = 0. What is x?
-2, -1, 6
Let i(g) = -12*g**2 + 12*g - 8. Let o(c) = -c**3 - 12*c**2 + 9*c - 8. Let p(j) = 6*i(j) - 4*o(j). Factor p(b).
4*(b - 4)*(b - 1)**2
Find v, given that -150 - 10*v**2 + 70*v + 2/5*v**3 = 0.
5, 15
Let u be (-38)/(-20) + 29/290. Let x(h) be the second derivative of -1/6*h**3 + 1/4*h**4 + 0*h**u + 0 - 3/20*h**5 + 2*h + 1/30*h**6. Let x(w) = 0. What is w?
0, 1
Let y(s) be the second derivative of s**7/315 + s**6/30 + 2*s**5/15 + 5*s**4/18 + s**3/3 - 2*s**2 - 26*s. Let f(v) be the first derivative of y(v). Factor f(q).
2*(q + 1)**3*(q + 3)/3
Let l be (-10)/(-1473)*3/5. Let i = 503/2946 - l. Factor 1/2*o + 0 + i*o**2.
o*(o + 3)/6
Let d = 757 - 752. Let -1/5*j**d - 3/5*j**3 + 0*j - 1/5*j**2 - 3/5*j**4 + 0 = 0. What is j?
-1, 0
Let f(s) be the third derivative of -s**8/70560 - s**7/5880 - 7*s**5/60 - 12*s**2. Let l(g) be the third derivative of f(g). Find x such that l(x) = 0.
-3, 0
Let h(r) = -r**2 - r + 6. Let j be h(-3). Let f(p) be the third derivative of j + 1/30*p**5 - 1/2*p**4 + 0*p + 3*p**3 - 6*p**2. Determine i so that f(i) = 0.
3
Let i = -8781 - -8781. Find o such that -6*o**4 + 0 - 120/7*o**3 - 24/7*o**2 + i*o + 54/7*o**5 = 0.
-1, -2/9, 0, 2
Let g = -4382 - -4385. Find i such that -9/8*i - 9/8*i**2 - 3/8*i**g - 3/8 = 0.
-1
Let x(m) be the second derivative of -1/63*m**7 + 1/30*m**5 + 0*m**3 + 0*m**4 + 0*m**6 - 8*m + 0 + 0*m**2. Factor x(u).
-2*u**3*(u - 1)*(u + 1)/3
Let t be ((1008/150)/(-28))/(17/20 + -1). Factor t*a + 16/5 + 1/5*a**2.
(a + 4)**2/5
Let x(y) be the first derivative of -2*y**6/3 + 46*y**5/5 - 481*y**4/16 - 23*y**3 - 9*y**2/2 + 247. Determine i so that x(i) = 0.
-1/4, 0, 6
Let j(d) be the first derivative of -d**4/8 - d**3/6 + 7*d**2/2 + 12*d - 130. Suppose j(a) = 0. What is a?
-3, -2, 4
Let a = 228 + -285. Let x be (a/(-6) + -10)/(-1*2). Solve 1/4 + x*c - 1/4*c**3 - 1/4*c**2 = 0.
-1, 1
Let -60*i**3 + 32*i**3 + i - 48*i**2 + 15*i = 0. What is i?
-2, 0, 2/7
Let -8/3*u**2 + 2/3*u**5 - 2*u**3 + 4/3*u**4 + 8/3*u + 0 = 0. Calculate u.
-2, 0, 1
Let x(l) be the third derivative of -l**7/84 + 43*l**6/240 - 89*l**5/120 + 23*l**4/16 - 3*l**3/2 + 316*l**2. Determine k, given that x(k) = 0.
3/5, 1, 6
Let k = -19 + 38. Factor -20*b - 1 + k - 2*b**2 + 7*b**2 - 3.
5*(b - 3)*(b - 1)
Let a = -68 + 71. Factor -2*f**2 - 16*f - 4*f**2 + 7*f**a + 19*f - 4*f**3.
3*f*(f - 1)**2
Let c = 10/261 + 686/261. Let 4/3*w + 1/6*w**2 + c = 0. What is w?
-4
Let j(l) be the third derivative of -l**5/360 + 139*l**4/144 + 35*l**3/9 - 97*l**2. Factor j(b).
-(b - 140)*(b + 1)/6
Determine h, given that -24/17 - 18/17*h**2 + 112/17*h = 0.
2/9, 6
Let d(r) be the second derivative of 7*r**6/60 - 3*r**5/4 + r**4/3 + 2*r - 4. Factor d(q).
q**2*(q - 4)*(7*q - 2)/2
Suppose 69*f - 58*f = 0. Let h(d) be the second derivative of -1/6*d**4 + f*d**3 + 2*d + 0*d**2 + 0. Solve h(r) = 0 for r.
0
Let i(r) = r - 1. Let p be i(9). Let q(k) = k + 19. Let u be q(p). Factor 13*g**2 - 10*g**2 + 12*g**2 - 14*g + 5*g - 3*g**3 - u.
-3*(g - 3)**2*(g + 1)
Find a, given that 13*a**3 + 22*a**2 + 12*a**3 - 108*a - 28*a**3 + 14*a**2 = 0.
0, 6
Suppose -2*j = 4*a, 5*a = 3*a + 3*j. Let b(q) be the second d