/3, 1
Find m, given that -200*m**3 - m**2 - 29*m**2 + 3*m**5 - 218*m**3 + 9*m - 18*m**4 + 454*m**3 = 0.
0, 1, 3
Let c(n) = n**3 - 2*n**2 - 3*n. Let h be c(3). Let p(f) be the first derivative of -3 + h*f - 1/7*f**2 - 2/21*f**3. Determine q so that p(q) = 0.
-1, 0
Let b be (-2)/(2/(-3) + 5/(-15)). Factor -1/5*z**b + 1/5*z**3 + 0*z + 0.
z**2*(z - 1)/5
Find n such that -2/9*n**3 + 20/9*n**2 + 64/9 - 64/9*n = 0.
2, 4
Let z be ((-4)/81)/((-4)/6). Let n(s) be the second derivative of -1/18*s**4 + s + 1/90*s**5 + 0 + z*s**3 + 0*s**2. Factor n(b).
2*b*(b - 2)*(b - 1)/9
Let y be 4*(-3)/30*5. Let d be (-1)/(-3) + y/24. Factor 1/4 - 3/4*u - 3/4*u**4 + 1/2*u**3 + 1/2*u**2 + d*u**5.
(u - 1)**4*(u + 1)/4
Let q(a) = a**3 - 3*a**2 + a - 7. Let p(i) = -i**3 + 2*i**2 + 6. Let d(z) = 4*p(z) + 3*q(z). Let x be d(-2). Let -f**2 + 0 + x - f + 1 = 0. Calculate f.
-2, 1
Let y(s) be the first derivative of -s**4/18 + s**3/9 + 4*s + 1. Let m(t) be the first derivative of y(t). Solve m(d) = 0.
0, 1
Factor -4/13*t**2 + 2/13*t**4 + 0*t + 0*t**3 + 2/13.
2*(t - 1)**2*(t + 1)**2/13
Let k(m) = 17*m**2 - 15*m - 41. Let i(c) = 4*c**2 - 4*c - 10. Let u(h) = 9*i(h) - 2*k(h). Factor u(p).
2*(p - 4)*(p + 1)
Let n(u) be the second derivative of 0*u**2 - 3/140*u**5 + 1/21*u**4 - 4*u - 1/105*u**6 + 1/294*u**7 + 2/21*u**3 + 0. Let n(b) = 0. Calculate b.
-1, 0, 2
Find y such that y + y**2 - 3*y**3 + 7*y**3 - 4*y**3 - y**3 - y**4 = 0.
-1, 0, 1
Let p = 3/239 - -1831/6453. Let h(z) be the second derivative of 4/9*z**2 - 3*z + 0 + p*z**3 - 5/54*z**4. Factor h(b).
-2*(b - 2)*(5*b + 2)/9
Let g(f) be the first derivative of -f**6/480 + f**4/96 - 2*f**2 - 6. Let v(b) be the second derivative of g(b). Determine r, given that v(r) = 0.
-1, 0, 1
Suppose 0 = -4*d + 7*d - 12. Let h(c) be the third derivative of 0 + 1/60*c**d + 0*c**5 - 3*c**2 + 0*c + 0*c**3 - 1/300*c**6. Suppose h(f) = 0. Calculate f.
-1, 0, 1
Let w(d) = d**3 + d**2 - 7*d + 1. Let g be w(-3). Let r(x) be the first derivative of 1/4*x**2 + 0*x + 2 - 1/16*x**g - 1/12*x**3. Factor r(a).
-a*(a - 1)*(a + 2)/4
Let l(x) be the second derivative of -5*x**4/12 + 5*x**3/6 + 14*x. Find h such that l(h) = 0.
0, 1
Suppose 0 = 3*g + 2*i - 88, -3*g - 2*g + 172 = -3*i. Let 42*h + 4 - 24*h + g*h**3 - 4*h**3 + 12*h**4 + 2*h**5 + 32*h**2 = 0. Calculate h.
-2, -1
Let -70*m**3 + 4*m**5 + 48*m + 8 + 7*m**5 + 11*m**5 - 18*m**4 + 10*m**2 = 0. What is m?
-1, -2/11, 1, 2
Suppose -5*z + 3 = -2. Let s(x) be the first derivative of -z - 8/3*x**2 - 32/9*x**3 - 2/3*x. Factor s(u).
-2*(4*u + 1)**2/3
Let h = 73/2 - 215/6. Factor -7/3*q**5 - h - 40/3*q**2 - 50/3*q**3 - 5*q - 10*q**4.
-(q + 1)**4*(7*q + 2)/3
Suppose -2*h = -74 + 8. Suppose h*z**2 + 2*z**4 - 2*z**3 - 32*z**2 - 3*z**4 + 2*z = 0. What is z?
-2, -1, 0, 1
Let r(s) be the first derivative of -s**5/20 - 6*s - 5. Let m(d) be the first derivative of r(d). Factor m(c).
-c**3
Let p(k) be the first derivative of k**5/5 - 3*k**4/4 + k**3 - k**2/2 - 10. Determine i so that p(i) = 0.
0, 1
Let m(h) be the first derivative of -h**6/2 - 3*h**5/5 + 9*h**4/2 + 4*h**3 - 12*h**2 - 5. Determine w so that m(w) = 0.
-2, 0, 1, 2
Let b = -4 - -12. Let l = -5 + b. Suppose 4*q**2 - l*q + q - 2*q**2 - 4 = 0. Calculate q.
-1, 2
Let n be (-2)/13 - (-168)/78. Let c(g) be the second derivative of 0 + 0*g**3 + g + 0*g**n - 1/6*g**4. Factor c(i).
-2*i**2
Let j(l) be the first derivative of 1/120*l**5 + 1/12*l**4 + 0*l**2 - 1/3*l**3 - 1 + 0*l - 1/360*l**6. Let x(c) be the third derivative of j(c). Factor x(o).
-(o - 2)*(o + 1)
Let d(c) be the second derivative of c**6/10 + 12*c**5/5 + 24*c**4 + 128*c**3 + 384*c**2 - 18*c. Solve d(s) = 0.
-4
Let f(y) be the third derivative of -y**8/6720 - y**7/280 - 3*y**6/80 - y**5/12 - 7*y**2. Let l(c) be the third derivative of f(c). Solve l(r) = 0.
-3
Let d(x) be the second derivative of x**5/120 + x**4/24 - 5*x**2/2 + 2*x. Let o(l) be the first derivative of d(l). Factor o(t).
t*(t + 2)/2
Let h(a) be the first derivative of -98*a**5/45 - 7*a**4/6 + 4*a**3/9 + 4*a**2/9 + 2*a - 1. Let n(j) be the first derivative of h(j). Find d such that n(d) = 0.
-2/7, 1/4
Determine j, given that -2/3 - 8/9*j - 2/9*j**2 = 0.
-3, -1
Let q(u) be the second derivative of u**8/6720 + u**7/1260 - u**6/720 - u**5/60 + u**4/6 + 2*u. Let z(r) be the third derivative of q(r). Factor z(d).
(d - 1)*(d + 1)*(d + 2)
Suppose 2*c - c = 4*r - 19, 4*r = -3*c + 39. Let d(w) = w**3 - w**2 - 1. Let l(y) = -8*y**3 + 2*y**2 - 2*y + 6. Let v(a) = r*d(a) + l(a). Factor v(s).
-2*s*(s + 1)**2
Let j(r) be the first derivative of -r**7/4620 - r**6/1980 + r**3/3 + 3. Let d(s) be the third derivative of j(s). Solve d(x) = 0.
-1, 0
Let y = 267 - 1065/4. Determine v, given that -3/4*v**2 + 3/2*v - y = 0.
1
Let w(m) be the first derivative of 5*m**6/24 - 3*m**5/5 + m**4/4 + 5*m**3/6 - 9*m**2/8 + m/2 + 6. Determine t, given that w(t) = 0.
-1, 2/5, 1
Let z = 2 - -1. Factor -w**4 + 2*w**2 - w**z - 5*w**4 - 3*w**3.
-2*w**2*(w + 1)*(3*w - 1)
Let u = -1095 - -5478/5. Factor u*d**2 + 0*d + 0 - 3/5*d**3.
-3*d**2*(d - 1)/5
Let h(m) be the second derivative of -m**6/180 - m**5/40 - m**4/36 - 13*m. Factor h(w).
-w**2*(w + 1)*(w + 2)/6
What is h in 0 - 18/7*h**2 + 3/7*h**3 + 15/7*h = 0?
0, 1, 5
Let h be (20/(-8)*(-1)/5)/1. What is o in 0 + o + 7/2*o**2 + 5/2*o**4 + h*o**5 + 9/2*o**3 = 0?
-2, -1, 0
Let c = 22/25 - 2/25. Factor 4/5*d**2 - c - 6/5*d**3 + 6/5*d.
-2*(d - 1)*(d + 1)*(3*d - 2)/5
Find h, given that 91 + 18*h - 2*h**2 - 197 + 90 = 0.
1, 8
Let u(q) = -8*q**2 + 8*q. Let t(w) = 9*w**2 - 9*w. Let i(f) = 5*t(f) + 6*u(f). Factor i(g).
-3*g*(g - 1)
Let p(i) be the first derivative of i**5/15 + 5*i**4/24 + i**3/9 - 5. Factor p(k).
k**2*(k + 2)*(2*k + 1)/6
Let k be -1*(10/(-6) - -1). Factor 1/3*z**4 + 0*z + 1/3*z**2 - k*z**3 + 0.
z**2*(z - 1)**2/3
Let w(y) be the second derivative of y**4/20 - y**3 + 15*y**2/2 - 23*y. Let w(t) = 0. Calculate t.
5
Let d(x) be the first derivative of x**4/2 - 2*x**3 - 10*x**2 + 58. Factor d(a).
2*a*(a - 5)*(a + 2)
Suppose 0*s**2 + 0 + 0*s + 2/9*s**5 + 4/9*s**4 + 2/9*s**3 = 0. Calculate s.
-1, 0
Let m(h) = 9*h + 6. Let f be m(6). Suppose 2*x - f = -0*x. Solve x*d**3 + 9*d**5 + 27*d**4 + 44/3*d**2 + 0 + 8/3*d = 0.
-1, -2/3, 0
Let b = -2 + 8. Let x be 1/((-9)/b - -2). Factor 7/5*k**x - 2/5*k - 1/5 - 4/5*k**3.
-(k - 1)**2*(4*k + 1)/5
Let p(r) be the first derivative of 119/3*r**3 - 245/8*r**4 - 19*r**2 + 4*r + 2. Determine t, given that p(t) = 0.
2/7, 2/5
Let l = -1 + 5. Suppose -5*z = -2*z + 4*f - 10, -2*z + 3 = -f. Find b, given that b**3 + 1/3*b - 1/3*b**l - b**z + 0 = 0.
0, 1
Suppose -3*v + 3*v**2 + 4*v**5 - 8 - 8*v**4 + 13*v**2 - 8*v**3 + 7*v = 0. What is v?
-1, 1, 2
Let t(j) = j + 1. Let b be 1/(0 - -1) - -1. Let i be (1/b)/(1/2). Let u(s) = 2*s**2 - s + 1. Let l(h) = i*u(h) - t(h). Factor l(r).
2*r*(r - 1)
Let j = -1 - -4. Let m be j/(-2) - (-15)/10. Suppose 5*i**3 + m*i**4 + 4*i**4 + i**5 + 8*i**2 + 0*i**3 - 6*i**2 = 0. What is i?
-2, -1, 0
Solve -3 - 3/4*s**4 - 3/2*s**3 + 9/4*s**2 + 3*s = 0.
-2, 1
Solve -3/4*l**2 - 9/4 - 3*l = 0.
-3, -1
Determine q so that -4*q - 12*q**5 - 8*q**2 + 8*q**4 + q**3 + 10*q**3 + 5*q**3 + 0*q**4 = 0.
-1, -1/3, 0, 1
Let u(w) be the third derivative of w**7/735 - w**6/140 + w**5/70 - w**4/84 + 11*w**2. Solve u(m) = 0.
0, 1
Let u(g) = 2*g**3 - 46*g**2 + 290*g - 686. Let c(k) = -4*k**3 + 93*k**2 - 579*k + 1372. Let f(n) = 4*c(n) + 9*u(n). Factor f(i).
2*(i - 7)**3
Find d, given that -4/15*d**2 + 0 + 2/15*d**3 + 0*d + 4/15*d**4 - 2/15*d**5 = 0.
-1, 0, 1, 2
Let r(s) = -3*s**4 + 3*s**3 + 9*s**2 + 21*s - 6. Let k(c) = c**3 + c**2 + c - 1. Let h be (-141)/12 - (-2)/(-8). Let f(x) = h*k(x) + r(x). Factor f(u).
-3*(u - 1)*(u + 1)**2*(u + 2)
Let f be ((-1)/(-3))/(1/9). Factor -f - 3*k**2 + k + 6*k - k.
-3*(k - 1)**2
Let v = -6 - -20/3. Let 0*p**2 - 1/3 - v*p + 1/3*p**4 + 2/3*p**3 = 0. What is p?
-1, 1
Let l(d) = -3*d**2 + 6*d - 5. Let g(x) = -6*x**2 + 12*x - 11. Let m be (-1)/6 + 88/(-48). Let v(s) = m*g(s) + 5*l(s). Factor v(k).
-3*(k - 1)**2
Let i(t) = 70*t**4 - 165*t**3 - 35*t**2 + 165*t - 35. Let y(o) = -35*o**4 + 83*o**3 + 18*o**2 - 83*o + 17. Let u(j) = 3*i(j) + 5*y(j). What is x in u(x) = 0?
-1, 2/7, 1, 2
Let p(i) be the third derivative of -i**9/30240 + i**8/3360 - i**7/840 + i**6/360 - i**5/15 