z(g) be the second derivative of 0 - 1/8*g**k - 3*g - 1/2*g**2 + 5/12*g**3. Factor z(t).
-(t - 1)*(3*t - 2)/2
Suppose 117*k = 21*k. Find c, given that 0*c**2 + 0*c + 0*c**3 + 1/2*c**4 + k = 0.
0
Let n = 5 + -11. Let b be 0 + 1 - 12/n. Let -28*y**b + 41*y**2 + 4*y**3 - 26*y**3 - y**2 - 8*y = 0. What is y?
0, 2/5
Let t(q) = 2*q**2 - 7*q - 4. Let n(d) = d**2 + 9*d + 4. Let c be n(-9). Let u(r) = -r**2 + 3*r + 2. Let v(h) = c*t(h) + 9*u(h). Factor v(j).
-(j - 1)*(j + 2)
Suppose 2*y - y - 1 = 0. Let k(t) = -t**2 + t. Let i be k(y). Find w, given that -4 - 2*w**3 + i + 4 + 2*w**2 = 0.
0, 1
Let x(a) be the first derivative of 0*a + 58/33*a**3 + 23 + 2/11*a**2. Solve x(r) = 0.
-2/29, 0
Let l(o) = -o - 11. Let d be l(0). Let h = -7 - d. Determine c, given that -c**4 - 110*c**3 - c**h - 2*c**2 + 106*c**3 = 0.
-1, 0
Let n(y) be the first derivative of -2*y**3/9 + 14*y**2/3 + 64*y/3 + 111. Let n(v) = 0. Calculate v.
-2, 16
Suppose 10*q - 7 = 9*q. Suppose 0 = -2*a - 3*n + 7, a - 4*a - n = -q. Find c such that -a*c**2 - 4*c - c**2 - 1 + 0 = 0.
-1, -1/3
Let f(j) be the first derivative of -j**6/90 + j**4/6 + 3*j**3 - 10. Let o(h) be the third derivative of f(h). Determine m so that o(m) = 0.
-1, 1
Let w = 25 - 29. Let s be (-15)/w + 6/(-8). Solve 12*d**4 + 3*d**4 + 29*d**2 + 10*d + 2*d**5 - 5*d**s - 7*d**5 - 44*d**2 = 0.
-1, 0, 1, 2
Let p(a) be the first derivative of -a**6/600 + a**5/50 + a**4/8 + 14*a**3/3 + 19. Let d(y) be the third derivative of p(y). Determine m so that d(m) = 0.
-1, 5
Let j(n) = n**2. Let x(l) be the first derivative of l**4/4 + l**3 - l**2 + 11. Let z(s) = -12*j(s) + 3*x(s). Factor z(g).
3*g*(g - 2)*(g + 1)
Let k = -12812/3 - -4272. Determine d so that -32/3*d**2 + 8/3*d**3 - k*d**5 - 8/3 + 8/3*d**4 + 28/3*d = 0.
-2, 1
Let c(r) be the second derivative of r**6/1080 - 7*r**5/360 + 9*r**3/2 + 20*r. Let s(w) be the second derivative of c(w). Factor s(v).
v*(v - 7)/3
Let v(x) be the third derivative of -x**8/3360 - 3*x**7/2800 + x**6/1200 + x**5/60 - 3*x**3 - 47*x**2. Let k(t) be the third derivative of v(t). Factor k(s).
-3*(s + 1)*(10*s - 1)/5
Suppose -n + 2*n - 1 = 5*y, 5*y - 3*n = 7. Let c = 4 + y. Suppose -3*j**3 - 4*j**3 - j**4 - j**2 + 5*j**c = 0. What is j?
-1, 0
Determine g so that 2/3*g**3 - 2 + 1/6*g + 17/6*g**2 = 0.
-4, -1, 3/4
Let k(j) be the first derivative of 1/16*j**4 + 15/8*j**2 + 48 + 7/12*j**3 + 9/4*j. Factor k(g).
(g + 1)*(g + 3)**2/4
Factor -666*y + 134*y**2 - 34*y**2 - 9*y**3 + 141*y + 32*y**2 + 294.
-3*(y - 7)**2*(3*y - 2)
Let s(j) be the second derivative of -9*j**5/20 - 23*j**4/4 - 25*j**3 - 36*j**2 + 162*j. Factor s(a).
-3*(a + 3)*(a + 4)*(3*a + 2)
Let o(g) be the third derivative of -g**8/112 - g**7/30 + g**6/40 + 11*g**5/60 - 2*g**3/3 + g**2 - 27*g. Solve o(u) = 0 for u.
-2, -1, 2/3, 1
Let z(f) be the first derivative of 2*f - 1/9*f**3 + 3 + 25/18*f**2. Factor z(j).
-(j - 9)*(3*j + 2)/9
Let l be -1*5/(1 + -2). Suppose 3*d + 8 = l*d. Factor 0*w**4 - w**d + 4*w**4.
3*w**4
Let n be (15/75)/((-1)/103). Let w = -1123/55 - n. Factor 0 + w*q**4 + 6/11*q**3 + 0*q + 4/11*q**2.
2*q**2*(q + 1)*(q + 2)/11
Let k = 85 - 83. Solve -156*a - 16*a**k + 156*a + 4*a**4 = 0.
-2, 0, 2
Let y = 14467/124260 + 1/4142. Let m = y + 1/20. Suppose 0*q - 1/6*q**2 - m*q**3 + 0 = 0. Calculate q.
-1, 0
Let c(n) be the second derivative of 0*n**2 - 15*n + 0 + 0*n**6 + 1/100*n**5 + 0*n**4 + 0*n**3 - 1/210*n**7. Factor c(a).
-a**3*(a - 1)*(a + 1)/5
Let h = 12165 + -24329/2. Determine d so that -h*d**2 + 9/2 + 0*d = 0.
-3, 3
Suppose -5*f + 2*o - 6*o = 22, 0 = o - 2. Let l be (f/14)/(5 - (10 - 4)). Suppose 1/7*j**2 - l*j**4 - 2/7*j**3 + 0*j + 0 = 0. Calculate j.
-1, 0, 1/3
Let w(m) be the third derivative of 0 + 0*m**3 - 1/360*m**6 + m**2 + 0*m + 0*m**4 + 1/180*m**5. Find l such that w(l) = 0.
0, 1
Let d be 3/9 + (1430/300 - 5). Let g(u) be the first derivative of d*u**4 - 1/5*u**2 + 3 - 2/5*u + 2/15*u**3. Factor g(j).
2*(j - 1)*(j + 1)**2/5
Suppose l + 13 = 5*h, -h - 3*l + 13 = 4. Factor -81*s**2 + 15*s + 93*s**2 + 5 + 1 + h*s**3.
3*(s + 1)**2*(s + 2)
Suppose 44 = 2*o + 4. Let j = o + 223. Find d such that 2*d**4 + 0*d**4 + d - 245*d**2 + j*d**2 - d**5 = 0.
-1, 0, 1
Let h(z) be the second derivative of -49*z**6/150 + 21*z**5/100 + 249*z**4/10 + 422*z**3/15 + 12*z**2 - 165*z. Let h(x) = 0. What is x?
-5, -2/7, 6
Let d(u) be the first derivative of -49*u**4/18 - 938*u**3/27 - 256*u**2/9 - 8*u + 42. Factor d(n).
-2*(n + 9)*(7*n + 2)**2/9
Let x be (-2)/(2/(-3)) + (-1221)/99 + 16. Factor 0 - 7/3*j**4 + 6*j**3 + 1/3*j**5 + 8/3*j - x*j**2.
j*(j - 2)**3*(j - 1)/3
Solve -16*r**3 + 0 + 192*r**2 + 0*r + 1/3*r**4 = 0.
0, 24
Suppose -8/5*h - 18/5*h**3 - 4/5*h**4 - 24/5*h**2 + 0 = 0. Calculate h.
-2, -1/2, 0
Factor -112*z**2 - 2*z**3 + 242 - 242 - 1568*z.
-2*z*(z + 28)**2
Let n(i) be the second derivative of -33*i + 0*i**3 + 0*i**2 + 2/5*i**5 + 2/15*i**6 - i**4 + 0. Determine j so that n(j) = 0.
-3, 0, 1
Let b be (36/855*-5)/(0 + -2). Find a, given that 0*a - b*a**2 + 2/19 = 0.
-1, 1
Suppose 4*b = -0*b + 44. Suppose 12*n - b*n - 2 = 0. Determine u so that -2/7*u**3 - 4/7*u**n + 2/7*u**5 + 4/7*u**4 + 0 + 0*u = 0.
-2, -1, 0, 1
Let w(l) = -23*l**2 + 5*l + 17. Let d = -26 - -43. Let z(s) = -8*s**2 + 2*s + 6. Suppose n = -3*n - 24. Let v(t) = d*z(t) + n*w(t). Suppose v(k) = 0. What is k?
-2, 0
Factor 10/7*j + 1/7*j**2 + 0.
j*(j + 10)/7
Let m(d) be the second derivative of -d**6/210 - 3*d**5/35 - 11*d**4/84 + 191*d. Find v, given that m(v) = 0.
-11, -1, 0
Let u(h) be the first derivative of h**6/27 + 26*h**5/45 + 19*h**4/18 - 290*h**3/27 + 176*h**2/9 - 128*h/9 - 36. Factor u(b).
2*(b - 1)**3*(b + 8)**2/9
What is d in 56/17*d**2 - 36/17 + 2/17*d**5 - 14/17*d + 12/17*d**3 - 20/17*d**4 = 0?
-1, 1, 2, 9
Let a(q) be the second derivative of -3*q**5/20 + 5*q**4/4 + 24*q**3 - 162*q**2 - 2*q + 107. Suppose a(m) = 0. What is m?
-6, 2, 9
Let a(v) = v**2 + v - 8. Let r be a(-6). Suppose 10 + 5*y**2 - r*y - 5*y + 12*y = 0. Calculate y.
1, 2
Suppose 18*y - 13*y = 4*w + 3, 0 = 2*y + 4*w - 18. Determine l so that -5/4*l**2 + 0 + 1/4*l**y + l = 0.
0, 1, 4
Let x(h) be the first derivative of -2*h**3/21 + h**2/7 + 12*h/7 + 173. Factor x(o).
-2*(o - 3)*(o + 2)/7
Suppose r - 6*r + 20 = 0. Let -4*n**2 + 0*n**3 + 2*n**5 + n**3 + 9*n**4 - 3*n**3 - 5*n**r = 0. What is n?
-2, -1, 0, 1
Suppose 5883 = 6*a + 5871. Determine p, given that 2/7 + 12/7*p + 10/7*p**a = 0.
-1, -1/5
Let s(y) = y**5 - y**2 + y. Let r(d) = -d**5 + 7*d**4 - 2*d**3 - 4*d**2 + 3*d. Let f be 3 - 2 - (3 - -1). Let h(o) = f*s(o) + r(o). Factor h(l).
-l**2*(l - 1)**2*(4*l + 1)
Suppose 7*p - 20 = 3*p. Factor -3*s**p + 4*s**4 - s**5 + 89 - 89 + 8*s**3.
-4*s**3*(s - 2)*(s + 1)
Suppose -5*t + 227 = -2*x, -2*x + 3*t - 237 = -0*x. Let a be x/(-26) - (-8)/52. Let 13*i**4 - 3*i**a - 2 + 2 - 19*i**4 = 0. Calculate i.
-2, 0
Let q(s) be the first derivative of 4/3*s**3 + 0*s + 16 + 0*s**2 - 18/5*s**5 - 3/2*s**4. Let q(u) = 0. What is u?
-2/3, 0, 1/3
Let p(s) = -10*s + 24. Let y be p(2). Determine w so that 39*w + 324*w**3 - 55*w + 70*w**y + 72*w**2 + 200*w**4 = 0.
-2/3, 0, 2/15
Let h(q) be the second derivative of 4/9*q**3 + 2*q + 8/3*q**2 + 0 + 1/36*q**4. Determine o so that h(o) = 0.
-4
Suppose 5*w = -9552 - 124868. Let b = -241706/9 - w. Let -140/3*i**2 - 136/9*i - 550/9*i**3 - b*i**4 - 16/9 = 0. What is i?
-1, -2/5
Let p = -23419/20 - -1171. Let i(h) be the second derivative of 0*h**4 + 5*h - h**2 + 0 + p*h**5 - 1/2*h**3. Factor i(o).
(o - 2)*(o + 1)**2
Let f(y) be the second derivative of 0 + 1/2*y**2 + 1/2*y**3 + 1/4*y**4 + 3*y + 1/20*y**5. Let z(c) be the first derivative of f(c). Factor z(l).
3*(l + 1)**2
Factor -13*h + 2*h**2 + 291*h**3 - 2 + 300*h**3 - 578*h**3.
(h - 1)*(h + 1)*(13*h + 2)
Let y be 66/17 + (-20)/(-170). Suppose 0 = -4*p + 10 - 2. Solve p*w**3 + 0 + 2*w**4 + y*w**2 - 4*w**4 + 0 = 0.
-1, 0, 2
Let w = 16/9 - 23/18. Let u = 20 - 8. What is g in w*g**3 - 9/2*g**2 - 8 + u*g = 0?
1, 4
Let b be (-56)/(-21)*(-3)/(-2). Let s be (14/7)/(-8) - (-15)/b. What is h in -s*h**2 - 15/2*h - 9/2 - 1/2*h**3 = 0?
-3, -1
Let u(v) be the second derivative of -3*v**5/20 + 23*v**4/16 + 17*v**3/4 + 21*v**2/8 + v + 106. Factor u(n).
-3*(n - 7)*(n + 1)*(4*n + 1)/4
Let p(x) be the third derivative of x**8/64 - 3*x**7/70 - 11*x**6/20 + 