.
2*(a + 2)**2/5
Let h(s) be the third derivative of -1/10*s**4 + 0 - 13*s**2 + 3/5*s**3 + 1/150*s**5 + 0*s. Factor h(g).
2*(g - 3)**2/5
Factor -1541*u - 45*u**2 - 1/3*u**3 - 4489/3.
-(u + 1)*(u + 67)**2/3
Suppose 76*a + 68 = 217*a - 107*a. Find l such that -5/4*l + l**a - 1/4*l**3 + 1/2 = 0.
1, 2
Let i(x) be the first derivative of -x**6/24 + 7*x**5/10 - 33*x**4/16 - 28*x**3/3 - 8*x**2 - 158. Factor i(n).
-n*(n - 8)**2*(n + 1)**2/4
Suppose 110 = -14*b + 306. Suppose -4*t = 3*t - b. Find z such that 0 + 4/7*z**t + 0*z + 2/7*z**4 + 6/7*z**3 = 0.
-2, -1, 0
Factor 55 + 9*c + 49 - 98 - 3*c**3.
-3*(c - 2)*(c + 1)**2
Suppose -5*g + 6*s - 44 = 8*s, 0 = 5*g - 5*s + 30. Let j be g/(-9) + (-10)/15. Factor 4/9 + 2/3*x**2 - 10/9*x + 2/9*x**3 - j*x**4.
-2*(x - 1)**3*(x + 2)/9
Let b(k) = -50*k - 27 - 97*k - 33 + 171*k**2. Let c = 29 + -47. Let m(i) = 49*i**2 - 42*i - 17. Let n(z) = c*m(z) + 5*b(z). Factor n(v).
-3*(v - 1)*(9*v + 2)
Let i(n) = -23*n + 13. Let s be i(-3). Let q = 84 - s. Factor 0 - 2/3*d**q + 2/3*d.
-2*d*(d - 1)/3
Let n = 4180 + -4178. Let 2/7*q + 0 - 2/7*q**n = 0. What is q?
0, 1
Let a(z) be the second derivative of 2*z**7/105 + 28*z**6/75 - 2*z**5/25 - 28*z**4/15 + 2*z**3/15 + 28*z**2/5 + 375*z. Solve a(f) = 0.
-14, -1, 1
Let k(r) be the third derivative of 0*r + 13*r**2 - 1/30*r**6 - 1/336*r**8 + 5/24*r**4 + 1/30*r**5 + 0 + 1/3*r**3 - 2/105*r**7. Let k(h) = 0. Calculate h.
-2, -1, 1
Find i such that -16/3*i**3 - 40/3*i + 1/3*i**4 + 13/3 + 14*i**2 = 0.
1, 13
Let j(f) be the first derivative of 2/15*f**3 - 2/5*f**2 + 2/5*f + 12. Factor j(d).
2*(d - 1)**2/5
Let g be ((-8)/2)/(-16 - -15). Suppose -991*f**4 - 62 + 6*f**3 + 190*f**2 - 10 - 204*f + 998*f**g + 73*f**3 = 0. Calculate f.
-6, -2/7, 1
Let b(g) be the first derivative of -8 + 1/4*g**3 + 0*g + 3/5*g**5 + 15/16*g**4 + 0*g**2. Solve b(r) = 0 for r.
-1, -1/4, 0
Let k(g) = -g**3 - 3*g**2 + g + 9. Let h be k(-3). Factor 0*u - 2*u + h*u + 2*u + 2*u**2.
2*u*(u + 3)
Factor -16*t + 0 - 2/5*t**2.
-2*t*(t + 40)/5
Let u(n) = 16*n**2 + 54*n - 18. Let m(y) = -2*y**2 - 6*y + 2. Let v(j) = -52*m(j) - 6*u(j). Find z such that v(z) = 0.
1/2, 1
Factor -75/2*u**2 + 27*u + 0 + 3/2*u**4 + 9*u**3.
3*u*(u - 2)*(u - 1)*(u + 9)/2
Let h(c) be the third derivative of -c**6/280 - 2*c**5/35 - 3*c**4/8 - 9*c**3/7 - 2*c**2 + 13*c. Factor h(l).
-3*(l + 2)*(l + 3)**2/7
Let i(s) be the second derivative of -s**5/5 + 7*s**4/12 - s**3/3 - s**2/2 + 40*s + 1. Factor i(o).
-(o - 1)**2*(4*o + 1)
Let h(c) be the second derivative of -c**5/5 + c**4/3 + 52*c**3/3 + 48*c**2 - 151*c. Find b such that h(b) = 0.
-4, -1, 6
Let q = 3/175 + 691/525. Factor -20/3*i**2 + 32/3*i - 16/3 + q*i**3.
4*(i - 2)**2*(i - 1)/3
Let d = 459 - 183. Let z = d - 274. Factor 0*b**z + 6/11*b - 4/11 - 2/11*b**3.
-2*(b - 1)**2*(b + 2)/11
Let m = 56 + -21. Let w be (-36)/(-77) - 10/m. Suppose 0 - 2/11*j**2 + w*j = 0. What is j?
0, 1
Let q(s) be the third derivative of -7*s**5/120 - 11*s**4/12 - s**3 - 55*s**2. Determine f so that q(f) = 0.
-6, -2/7
Suppose -360/13*o**2 - 432000/13 + 2/13*o**3 + 21600/13*o = 0. What is o?
60
What is v in -372*v**2 - 100*v + 19 + 2392*v**4 - 236*v**3 - 2408*v**4 + 33 = 0?
-13, -1, 1/4
Let c = -13849/50 + 277. Let s(k) be the second derivative of -1/30*k**4 - 10*k - 3/5*k**2 + 1/3*k**3 + 0 - c*k**5. What is b in s(b) = 0?
-3, 1
Let y(q) be the first derivative of q**7/1470 + q**6/280 + q**5/210 + 5*q**2 - 3. Let z(j) be the second derivative of y(j). Find i, given that z(i) = 0.
-2, -1, 0
Let q(y) be the first derivative of -y**4/32 + y**3/8 - y/2 + 304. Solve q(m) = 0.
-1, 2
Let l(f) = -87*f + 4176. Let x be l(48). Find r such that 0 + x*r**2 + 1/4*r**3 - 1/4*r = 0.
-1, 0, 1
Let r(p) be the first derivative of -p**5/20 - p**4/8 + 2*p**3/3 - 141. Factor r(t).
-t**2*(t - 2)*(t + 4)/4
Suppose -3*g = 2*g + 180. Let o be (-188)/g - 4/18. Factor -1/3*d**o + 0 + 2/3*d**4 + 0*d - 1/3*d**3 + 0*d**2.
-d**3*(d - 1)**2/3
Solve 3/4*m**4 + 9*m + 1/4*m**5 - 37/4*m**3 - 8 + 29/4*m**2 = 0.
-8, -1, 1, 4
Let s be 204/40 + (-3)/2 + (-4 - -4). Solve s*o**2 + 0 - 14/5*o**3 - 4/5*o = 0.
0, 2/7, 1
Let b = 6 + 0. Let g = b + -2. Determine j so that j**3 - g*j**2 + j**2 + 2*j**2 = 0.
0, 1
Let c(q) be the third derivative of -1/12*q**4 + 0*q - 1/105*q**7 - 1/3*q**3 - 1/168*q**8 + 1/30*q**6 + 10*q**2 + 0 + 1/15*q**5. Let c(g) = 0. What is g?
-1, 1
Let v(q) be the second derivative of -35/6*q**3 + 5/2*q**2 + 95/12*q**4 + 8/3*q**6 - 7*q - 25/4*q**5 - 10/21*q**7 + 0. Factor v(h).
-5*(h - 1)**3*(2*h - 1)**2
What is b in 12 + 2/5*b - 2/5*b**2 = 0?
-5, 6
Suppose 26*f**3 + 58*f**2 - 24*f + 23*f**3 - 7*f**3 = 0. Calculate f.
-12/7, 0, 1/3
Let t(r) be the second derivative of -r**5/40 + 23*r**4/36 - 5*r**3/12 - 517*r. Factor t(x).
-x*(x - 15)*(3*x - 1)/6
Let j(n) be the third derivative of -n**7/140 - 3*n**6/80 + n**5/4 - 31*n**2 + 1. Find x such that j(x) = 0.
-5, 0, 2
Suppose -11*p + 8 = -15*p, -12 = -c + 5*p. Factor 0 + 0*g + 1/7*g**c.
g**2/7
Let n be 1*(-8 - -8)/(-1). Factor 1/4*w**2 - 1/2*w + n.
w*(w - 2)/4
Factor -137*f**3 + 50*f - 5*f**5 - 360*f**2 + 64*f + 21*f - 7*f**4 - 113*f**3 - 53*f**4 + 540.
-5*(f - 1)*(f + 3)**3*(f + 4)
Let y(x) be the first derivative of 8/11*x - 4/11*x**2 - 2/11*x**3 - 29. Suppose y(t) = 0. Calculate t.
-2, 2/3
Let r = -41 - -90. Let f = 50 - r. Factor 3*n - f + 3/2*n**3 - 1/4*n**4 - 13/4*n**2.
-(n - 2)**2*(n - 1)**2/4
Let u(d) be the first derivative of -d**4/3 + 2*d**3 + 8*d**2 + 6*d + 7. Let s(p) be the first derivative of u(p). Factor s(y).
-4*(y - 4)*(y + 1)
Let x(p) be the second derivative of 0*p**2 - 1/12*p**4 - 12*p + 1/6*p**3 + 0. Determine j so that x(j) = 0.
0, 1
Factor 4/5*u**4 - 4/5*u**3 + 0 + 4/5*u - 4/5*u**2.
4*u*(u - 1)**2*(u + 1)/5
Let g(f) = 8*f**3 - 36*f**2 + 213*f - 406. Let l(v) = 30*v**3 - 144*v**2 + 851*v - 1622. Let c(r) = -22*g(r) + 6*l(r). Factor c(t).
4*(t - 8)*(t - 5)**2
Let v(z) = 18 + 12*z + 3*z - z**3 - 7*z**2 - 6*z. Let i(m) = 2*m**3 + 22*m**2 - 26*m - 54. Let g(u) = 3*i(u) + 8*v(u). Factor g(o).
-2*(o - 3)**2*(o + 1)
Find m, given that 40/3*m**2 - 5/3*m**5 - 20*m**3 + 10*m**4 + 0 + 0*m = 0.
0, 2
Let v be (-5)/(-3 - 2) - -11. Let h be 2/v*(-9)/(-6). Factor 1/4*k**3 + 1/2 - h*k - 1/2*k**2.
(k - 2)*(k - 1)*(k + 1)/4
Solve 20/7 - 9/7*p + 1/7*p**2 = 0.
4, 5
Let w(s) = -s**3 - 1. Let j(i) = 20*i**3 + 24*i**2 + 16. Let h(k) = -k + 11. Let b be h(10). Let d(a) = b*j(a) + 16*w(a). Let d(u) = 0. What is u?
-6, 0
Let j be (-15*8/(-144))/(45/396). Find m such that j*m**2 + 16*m + 8/3 = 0.
-2, -2/11
Let f = 2914 + -2909. Factor 0*m - 8/15*m**f - 14/15*m**4 + 0*m**2 + 4/15*m**3 + 0.
-2*m**3*(m + 2)*(4*m - 1)/15
Let h(b) = b - 15. Let a be h(24). Suppose -j - 7 = -a. Find z, given that 2/3*z + 2/3*z**j - 4/3 = 0.
-2, 1
Let a(h) = -4. Let j(s) = -13*s**2 + 25*s - 24. Let i(u) = -12*a(u) + 4*j(u). Factor i(y).
-4*(y - 1)*(13*y - 12)
Let m(x) be the second derivative of -x**4/6 + 398*x**3/3 - 39601*x**2 + 15*x + 24. Factor m(n).
-2*(n - 199)**2
Suppose -4*n - 8*m = -4*m - 24, -2*n - 8 = -3*m. Suppose -n*b + 3 = -b. Factor r**2 + 10 + b*r - 2 + 7*r + r**2.
2*(r + 1)*(r + 4)
What is t in -8*t**2 + 24 - 2067*t**3 - t**2 + 2068*t**3 + 14*t = 0?
-1, 4, 6
Let b(f) = 11*f - 192. Let n be b(18). Let d(x) be the first derivative of 4 + 0*x + 0*x**2 - 1/30*x**n - 3/20*x**4 - 3/25*x**5 - 1/15*x**3. Factor d(s).
-s**2*(s + 1)**3/5
Suppose 0 = -2*i - 6*i. Factor -112*h**3 - h**5 + 100*h**3 - 6 + i*h**4 - 22*h - 28*h**2 + 3*h**5 + 2*h**4.
2*(h - 3)*(h + 1)**4
Let k(y) be the second derivative of -y**6/10 - 3*y**5/20 + 5*y**4/2 - 4*y**3 + 4*y - 3. Factor k(h).
-3*h*(h - 2)*(h - 1)*(h + 4)
Let k(s) be the first derivative of 3*s**5/5 - 3*s**4/4 - 41*s**3 - 333*s**2/2 - 216*s + 647. Factor k(q).
3*(q - 8)*(q + 1)*(q + 3)**2
Let f(o) be the first derivative of 45*o**4/4 - 85*o**3/3 + 35*o**2/2 + 5*o + 259. Find c such that f(c) = 0.
-1/9, 1
Let u(r) be the first derivative of 1/3*r**6 - 5/6*r**4 + 0*r**3 + 1/3*r + 24 + 2/3*r**2 - 1/15*r**5. Determine l so that u(l) = 0.
-1, -1/2, -1/3, 1
Let a(k) be the first derivative of k**9/7056 - k**8/1960 + 14*k**3/3 + 17. Let r(m) be the third derivative of a(m). Suppose r(y) = 0. What is y?
0, 2
Let z(w) be the second derivative of -4*w + 0*w**2 + 1/720*w**6 + 1/120*w**5 + 0*w**4 + 0 +