 0.
-1, 0
Solve 22/9*o**4 + 10/3*o**2 + 0 - 4/9*o - 16/3*o**3 = 0.
0, 2/11, 1
Let s be 2 - ((-12)/(-32)*-2 - -2). Factor s + 9/8*w - 15/8*w**2.
-3*(w - 1)*(5*w + 2)/8
Factor -22*p**2 - 85*p**3 - 2*p**4 + 10*p + 24*p**3 + 34*p**3 + 41*p**3.
-2*p*(p - 5)*(p - 1)**2
Factor 4*l**2 + l**2 + 31*l - 36*l - 60.
5*(l - 4)*(l + 3)
Let v(j) be the third derivative of -j**7/315 + 2*j**6/45 - 17*j**5/90 + 5*j**4/18 - 61*j**2. Factor v(u).
-2*u*(u - 5)*(u - 2)*(u - 1)/3
Suppose 0*i - i - 5*l - 11 = 0, 7 = -i - 3*l. Let o be i - (4 + -1 + 22/(-5)). Factor -2/5*a**4 + 2/5*a**2 + o*a**3 + 0 - 2/5*a.
-2*a*(a - 1)**2*(a + 1)/5
Let p be 238385/4900 - (-7)/4. Suppose 68/5*m**2 - 324/5 + 4/5*m**3 + p*m = 0. What is m?
-9, 1
Let b(u) = 4*u**3 - 28*u**2 - 11*u + 300. Let x(n) = -2*n**3 + 2*n**2 - n - 2. Let j(h) = b(h) + 3*x(h). Let j(i) = 0. What is i?
-7, 3
Suppose q + 5*o = 2*q - 30, -4*q = 4*o - 168. Let r be q/(-15)*(-2)/8. Determine j so that 0 - 2/3*j**2 + 2/3*j**4 - 2/3*j**3 + r*j = 0.
-1, 0, 1
Suppose 4*c + 28 = -10*c. Let t(y) = -y - 1. Let f(z) = z**2 - 5*z - 6. Let o(d) = c*f(d) + 14*t(d). Factor o(q).
-2*(q + 1)**2
Suppose 26 = 3*l + 3*k + 2, -l = -2*k + 4. Let i(u) be the second derivative of 5*u - 1/30*u**3 - 1/60*u**l + 0*u**2 + 0. Factor i(n).
-n*(n + 1)/5
Let j = -18805 + 206873/11. Solve j*s**2 + 14/11*s + 4/11 + 2/11*s**4 + 10/11*s**3 = 0.
-2, -1
Suppose -59 = -4*q - 31. Suppose c + 12 = q*c. Factor 44/7*m**c + 48/7*m**3 + 16/7*m + 2/7 + 18/7*m**4.
2*(m + 1)**2*(3*m + 1)**2/7
Let y(c) be the first derivative of c**7/2100 + c**6/180 + 7*c**5/300 + c**4/20 - 7*c**3/3 - 8. Let x(p) be the third derivative of y(p). Factor x(a).
2*(a + 1)**2*(a + 3)/5
Let r(x) = x - 8. Let z be r(3). Let l be (-186)/(-30) + 1/z. Factor 2*g**3 + 8*g**2 + 35 - 35 + l*g.
2*g*(g + 1)*(g + 3)
What is o in 4/3*o**3 + 1/6*o**4 + 0 + 2*o + 19/6*o**2 = 0?
-4, -3, -1, 0
Find z such that 0*z + 4/11*z**2 - 8/11*z**4 + 0 - 14/11*z**3 = 0.
-2, 0, 1/4
Let w be (3/8)/(185/296). Determine f, given that w*f**3 + 42/5*f - 21/5*f**2 - 24/5 = 0.
1, 2, 4
Let o(g) be the third derivative of -g**7/42 - g**6/6 + 8*g**5/3 - 186*g**2. Factor o(u).
-5*u**2*(u - 4)*(u + 8)
Let l(p) = -p**3 + 6*p**2 + 4*p - 21. Let v be l(6). Let k(x) = x**2 - x + 4. Let r be k(0). Factor -97/2*b**2 - 2 - 36*b**v - 18*b - 8*b**r.
-(b + 2)**2*(4*b + 1)**2/2
Let u(z) = -z**3 + 2*z**2 + 14*z + 10. Let s be u(5). Let m(o) be the first derivative of 3/5*o**5 - o**3 + 0*o + s + 1/2*o**6 + 0*o**2 - 3/4*o**4. Factor m(q).
3*q**2*(q - 1)*(q + 1)**2
Let p = -42 + 42. Let x(k) be the second derivative of -1/3*k**4 + p - 2*k + 4/3*k**3 + 0*k**2 - 1/5*k**5. Determine r, given that x(r) = 0.
-2, 0, 1
Let v(l) be the second derivative of l**4/12 - l**3/3 - l**2 - 6*l. Let u(j) = -j**2 + j + 1. Let h(z) = -4*u(z) - 2*v(z). Factor h(a).
2*a**2
Let k be ((-3)/2 - -2)*0. Let m = 659/146 - 1/73. Factor 3/2*l**3 + m*l**2 + 0*l + k.
3*l**2*(l + 3)/2
Let u(d) be the third derivative of d**2 + 0*d**4 + 0*d + 1/224*d**8 + 0*d**3 + 1/40*d**6 + 0*d**5 - 3/140*d**7 + 0. Factor u(g).
3*g**3*(g - 2)*(g - 1)/2
Let j(y) = y. Let a = -1 + 5. Suppose 0 = -3*k + l + 3*l + 23, -l = a*k + 1. Let o(n) = -2*n**2 + 3*n + 4. Let d(m) = k*j(m) - o(m). Solve d(p) = 0 for p.
-1, 2
Let i(x) be the third derivative of x**7/630 + x**6/180 + 3*x**4/4 - 13*x**2. Let r(l) be the second derivative of i(l). What is j in r(j) = 0?
-1, 0
Let p(v) be the second derivative of -5/12*v**4 + 0 + 0*v**2 + 9*v + 0*v**3. Factor p(x).
-5*x**2
Suppose 25 = -5*l, l = 5*p - 455 - 205. Let b = p - 128. Factor -2/13*x**4 + 4/13*x**2 + 0*x**b + 0*x - 2/13.
-2*(x - 1)**2*(x + 1)**2/13
Let n = 26848 - 53693/2. Find t, given that -3*t**4 + 0 - 3/2*t**3 + 0*t + 3*t**2 + n*t**5 = 0.
-1, 0, 1, 2
Suppose -2/11*x**2 + 26/11*x - 4 = 0. What is x?
2, 11
Let x(a) be the first derivative of -a**4/8 + a**3/6 + a**2 - 2*a + 52. Let x(h) = 0. Calculate h.
-2, 1, 2
Let k(z) = z**2 + z. Let y(f) = -5*f**4 - 35*f**3 - 82*f**2 - 62*f. Let s(i) = -2*k(i) - y(i). Factor s(j).
5*j*(j + 2)**2*(j + 3)
Let i(k) be the third derivative of k**7/11340 - k**6/3240 - 7*k**4/24 + 15*k**2. Let w(j) be the second derivative of i(j). Find g such that w(g) = 0.
0, 1
Let i(g) be the first derivative of -g**8/4200 + g**7/1050 + g**6/300 + 14*g**3 - 9. Let w(r) be the third derivative of i(r). Suppose w(a) = 0. What is a?
-1, 0, 3
Suppose 0 = 4*w, -1 = 3*u + 3*w - 11 - 5. Let 0*q - 1/4*q**u + 0*q**3 + 0 - q**2 + 3/4*q**4 = 0. What is q?
-1, 0, 2
Let t(j) be the first derivative of 3*j**4/32 + 3*j**3/4 + 15*j**2/16 - 9*j/2 + 299. Determine c so that t(c) = 0.
-4, -3, 1
Let i(k) be the second derivative of -k**4/28 + k**3/14 - 63*k + 1. Let i(b) = 0. What is b?
0, 1
Let f(a) be the first derivative of a**7/49 - a**6/21 + a**5/30 - a**4/126 + 21*a - 17. Let t(p) be the first derivative of f(p). Factor t(n).
2*n**2*(n - 1)*(3*n - 1)**2/21
Let u(p) = -5*p**2 + 36*p - 37. Let m(w) = -w + 2. Let c(x) = 6*m(x) + u(x). Factor c(l).
-5*(l - 5)*(l - 1)
Factor 35 - 10*k**2 + 61*k - 3*k**3 + 90*k**2 - k**3 + 37 - 209*k.
-4*(k - 18)*(k - 1)**2
Let z = -66 - -66. Suppose -9*p + z*p = 0. Determine o so that p*o**2 + 0 - 1/2*o**3 + 1/2*o**5 + 0*o + 0*o**4 = 0.
-1, 0, 1
Let g = -134605997/460 + 292622. Let b = -2/115 + g. Solve -1/4*y**2 + b*y + 1/2 = 0 for y.
-1, 2
Suppose 0 = 4*f - 16, 4*s + 16 = -5*f + 9*f. Let c be 1 - 1*5/9. Determine k, given that 2/9*k**5 + 0*k**4 + 2/9*k + s*k**2 + 0 - c*k**3 = 0.
-1, 0, 1
Factor 11/4 + 9/4*d**2 - 21/4*d + 1/4*d**3.
(d - 1)**2*(d + 11)/4
Factor -137*x - 140*x - x**4 - x**2 - 52*x**3 - 50*x**2 + 277*x.
-x**2*(x + 1)*(x + 51)
Let c(t) be the third derivative of -t**8/20160 + t**7/2520 - t**6/720 + 4*t**5/15 - 2*t**2. Let k(s) be the third derivative of c(s). Factor k(g).
-(g - 1)**2
Let s(j) be the third derivative of 0*j - 1/36*j**3 + 1/72*j**4 + 17*j**2 - 1/360*j**5 + 0. Determine n so that s(n) = 0.
1
Let i(s) be the third derivative of s**6/135 - 37*s**5/270 + s**4/12 - 4*s**2 - 5*s. Factor i(o).
2*o*(o - 9)*(4*o - 1)/9
Suppose 5*g - 7 = 2*t, 8 + 53 = 4*t + 5*g. Determine c, given that 8*c**3 - 9*c**3 - 5*c**3 - 3*c**5 - t*c**4 = 0.
-2, -1, 0
Let w = -1329 + 6647/5. Factor -4/5 + w*b**2 - 2/5*b.
2*(b - 2)*(b + 1)/5
Let b(x) = 36*x**4 + 15*x**3 - 95*x**2 + 50*x. Let i(a) = -36*a**4 - 14*a**3 + 95*a**2 - 50*a. Let s(c) = -4*b(c) - 6*i(c). Factor s(g).
2*g*(g + 2)*(6*g - 5)**2
Factor 8/3 + 7/3*d**2 + 14/3*d + 1/3*d**3.
(d + 1)*(d + 2)*(d + 4)/3
Find z, given that -13/3*z**2 - 4/3*z**3 + 23*z + 6 = 0.
-6, -1/4, 3
Let k be ((-32)/(-80))/((-2)/(-30)). Suppose k*f + 5 = 17. Factor 6*o**4 + 2*o**4 - 53*o**2 + f*o + 12*o**3 + 2*o**5 + 61*o**2.
2*o*(o + 1)**4
Let n be (14 - (-672)/(-49))*(-14)/(-2). Determine m, given that -3/7*m**4 + 15/7*m + 3/7*m**n - 15/7*m**3 + 0 = 0.
-5, -1, 0, 1
Let q(h) be the third derivative of -h**5/30 + 9*h**4/2 - 243*h**3 + 203*h**2. Determine b, given that q(b) = 0.
27
Let y be 60*((-387)/2408)/((-6)/8). Factor -75/7 - 27/7*z**2 + y*z.
-3*(3*z - 5)**2/7
Let j be ((-4)/6)/((-4)/(24*6)). Factor -7*g - j*g + 2*g + 45 - g + 5*g**2.
5*(g - 3)**2
Factor 2/7*m**3 - 8/7*m - 2/7*m**2 + 8/7.
2*(m - 2)*(m - 1)*(m + 2)/7
Let j(y) = 11*y**3 + 18*y**2 + 39*y + 23. Let s(k) = -5*k**3 - 9*k**2 - 19*k - 11. Let o(z) = 4*j(z) + 9*s(z). Factor o(r).
-(r + 1)**2*(r + 7)
Let r(i) be the second derivative of 49*i**5/5 + 1148*i**4/3 - 1336*i**3/3 + 192*i**2 - 68*i + 2. What is p in r(p) = 0?
-24, 2/7
Factor 2/7*j**2 + 160/7*j + 3200/7.
2*(j + 40)**2/7
Let i(c) be the first derivative of 5/2*c**4 + 5*c**3 - c**5 - 10*c**2 - 20*c - 5. Suppose i(g) = 0. What is g?
-1, 2
Let w(g) = -5*g + 51. Let s be w(9). Let o be (3/(-24) + 380/(-32))/(-2). Factor 4/3 + o*c**2 + s*c.
2*(3*c + 1)*(3*c + 2)/3
Let y = -904 + 908. Let s(t) be the second derivative of -9*t + 0*t**y + 0*t**2 + 1/21*t**3 - 1/70*t**5 + 0. Factor s(u).
-2*u*(u - 1)*(u + 1)/7
Let y(v) be the first derivative of 2*v**6/27 - 26*v**5/45 + 4*v**4/3 - 34*v**3/27 + 4*v**2/9 + 63. Find a, given that y(a) = 0.
0, 1/2, 1, 4
Let m(o) = 1872*o**2 + 14*o - 1882*o**2 + 1 + 4*o**3 - 15. Let g(p) = -p**3 + 2*p**2 - 3*p + 3. Let b(t) = -28*g(t) - 6*m(t). Solve b(h) = 0 for h.
-1, 0
Factor 3/7*r**3 - 33/7*r + 90/7 - 12/7*r**2.
3*(r - 5)*(r - 2)*(r + 3)