*4 - 2/13*t**3. Factor z(g).
2*g**2*(g - 3)/13
Let v be (-10)/(-14)*400/250. Let 4/7*x - 4/7*x**5 + v*x**4 + 0*x**3 - 8/7*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let r(m) be the third derivative of -1/42*m**4 + 8*m**2 + 0*m**3 + 0 + 0*m - 1/210*m**5. Solve r(o) = 0.
-2, 0
Let j(a) be the first derivative of -3*a**3 + 0*a - 3/2*a**4 - 3/2*a**2 - 3. Factor j(z).
-3*z*(z + 1)*(2*z + 1)
Let i(k) = -k**3 + 12*k**2 + 28*k + 4. Let t be i(14). Let d be (-52)/60 - (-5 + t). Factor -d*v**3 + 2/15*v - 4/15 + 4/15*v**2.
-2*(v - 2)*(v - 1)*(v + 1)/15
Suppose 6 = 5*d - 3*d. Suppose 3*p + 4*m + 1 = 12, 5*p - 30 = 5*m. Factor 8*z - 2*z**4 - 18*z**2 - 4 + 3*z**d + 2 + p*z**3 + 6*z**2.
-2*(z - 1)**4
Let i(n) be the third derivative of 2/21*n**3 + 2/735*n**7 + 1/105*n**6 + 0 - 1/588*n**8 - 5*n**2 - 2/105*n**5 + 0*n - 1/42*n**4. Determine t so that i(t) = 0.
-1, 1
Find v such that -v**2 + 5*v**2 + 3*v**3 + 32*v - 2*v**2 - 33*v = 0.
-1, 0, 1/3
Let z(k) be the first derivative of -16*k - 7/8*k**4 + 1/10*k**5 + 12 + k**3 + 8*k**2. Factor z(l).
(l - 4)**2*(l - 1)*(l + 2)/2
Let m(b) be the first derivative of -b**7/56 + b**6/120 + b**5/40 - 9*b - 27. Let z(i) be the first derivative of m(i). Find s, given that z(s) = 0.
-2/3, 0, 1
Let g(b) = -b**2 + 3 - 2 - 3*b - 3 - 2*b**3. Let h be g(-1). Factor -2/9*r**3 - 4/9*r + 2/3*r**h + 0.
-2*r*(r - 2)*(r - 1)/9
Let o(l) = -8*l**3 + 6*l**2 + 12*l - 6. Let c(f) = -f**3 + 2*f**2 - 2. Let x(u) = -22*c(u) + 2*o(u). Let x(n) = 0. Calculate n.
-2/3, 2, 4
Let a be -3 - 14694/(-3960) - 1/4. Let w = a - 2/33. Factor 2/5*j**3 + 0*j - w*j**2 + 0.
2*j**2*(j - 1)/5
Let k(t) be the first derivative of t**3/5 - 96*t**2/5 - 39*t - 337. Factor k(u).
3*(u - 65)*(u + 1)/5
Let k(d) = -11*d**2 - 15*d + 3. Let p(z) = -10*z**2 - 14*z + 2. Let g be (48/(-28))/((-8)/28). Let y(c) = g*k(c) - 7*p(c). Suppose y(r) = 0. What is r?
-1
Let c = -70 - -73. Factor r - 2*r + 4*r**2 - 2*r**c + 3*r**4 + 9*r - 4*r**4.
-r*(r - 2)*(r + 2)**2
Let s(z) be the third derivative of -1/6*z**4 + 1/12*z**5 - 12*z**2 + 0 + 0*z**3 - 1/120*z**6 + 0*z. Factor s(x).
-x*(x - 4)*(x - 1)
Factor 15/2*n + 18 - 9/4*n**2 - 3/4*n**3.
-3*(n - 3)*(n + 2)*(n + 4)/4
Let d be 19 - ((-9)/(-6))/((-6)/(-12)). Suppose -4*i = -4*m - d, 5*m - m = -8. Factor 0*c + 1/4*c**3 + 0 + 1/2*c**i.
c**2*(c + 2)/4
Let a(q) be the third derivative of q**6/480 + 7*q**5/240 + q**4/16 + 2*q**2 - 10. Determine m, given that a(m) = 0.
-6, -1, 0
Factor 3/5 - 2/5*g - 1/5*g**2.
-(g - 1)*(g + 3)/5
Suppose -11*u = -2*u - 27. Suppose -10*x = -u*x - 21. Factor 4/5*t**x - 2/5*t**5 - 2/5*t + 0*t**4 + 0*t**2 + 0.
-2*t*(t - 1)**2*(t + 1)**2/5
Suppose -4*t + w + 14 = -w, -t - w = 1. Factor -4*s**2 + 16*s - 1 + t - 13.
-4*(s - 3)*(s - 1)
Let d(m) be the third derivative of -m**8/1344 - 19*m**7/420 - 397*m**6/480 - 57*m**5/20 - 27*m**4/8 - 3*m**2 + 36*m. Factor d(a).
-a*(a + 1)**2*(a + 18)**2/4
Determine l, given that 400*l**2 + l + 398*l**2 - 799*l**2 + 30 = 0.
-5, 6
Let g(n) = -21*n - 84. Let o be g(-4). Let j be 17/(-34)*o/(-1). Find r such that 2/3*r + 0*r**2 - 1/6*r**3 + j = 0.
-2, 0, 2
Suppose m = -m + 4. Suppose i - 3*n = -15 + m, 21 = 3*i + 3*n. Solve 4*j + 8*j**4 + 0*j + j**4 - 4*j**5 - j**4 - 8*j**i = 0.
-1, 0, 1
Let c(h) be the second derivative of 2*h + 10*h**2 + 20/3*h**3 + 0 - 5/4*h**5 + 5/12*h**4 - 1/6*h**6 + 5/42*h**7. Suppose c(w) = 0. Calculate w.
-1, 2
Let w(y) be the second derivative of y**6/1440 - y**5/120 + y**4/32 - y**3/3 + 17*y. Let l(q) be the second derivative of w(q). Solve l(d) = 0 for d.
1, 3
Suppose 0 = -h - 0 + 3. Suppose -q - h = -5. Determine r so that 0*r**4 + 6*r**3 - 20*r**2 + 18*r**q - 6*r**4 + 2*r**5 = 0.
0, 1
Let l be 2/27*(-3)/(-1). Suppose -5*x - 6 = -4*n - 7*x, -4*n = x - 3. Suppose l*t**5 + n - 2/9*t + 0*t**3 - 4/9*t**2 + 4/9*t**4 = 0. What is t?
-1, 0, 1
Let x be 76/14 - (-4)/7. Determine i, given that i**2 - i + 2*i**3 - i**4 + x - 6 - i**3 = 0.
-1, 0, 1
Let j(m) = m**3 - 13*m**2 + 22*m. Let f be j(11). Suppose -4*c - 7 = 3*w, -2*w - 10 = -f*w. Find b such that 1/2*b**c + 1/2*b - 1 = 0.
-2, 1
Suppose 3*x - 2 = -5*d + 28, 4*x = 0. Let h(w) be the second derivative of -1/165*w**d + 7/33*w**3 + 1/22*w**5 - 3/22*w**4 + 0 - 2/11*w**2 - 3*w. Factor h(z).
-2*(z - 2)*(z - 1)**3/11
Let -32 - 2*l**2 + 51*l + 90*l - 175*l = 0. Calculate l.
-16, -1
Let a(k) be the second derivative of 1/5*k**5 - 6*k**2 - 1/3*k**4 - 10/3*k**3 + 0 + 12*k. Solve a(j) = 0.
-1, 3
Let b(u) be the first derivative of u**7/35 + 19*u**6/40 + 2*u**5 - 25*u**4/8 - 4*u**2 + 31. Let h(n) be the second derivative of b(n). Factor h(i).
3*i*(i + 5)**2*(2*i - 1)
Let f(j) be the second derivative of -3*j**5/5 - 5*j**4/4 + 7*j**3/2 + 3*j**2 - 58*j - 2. What is x in f(x) = 0?
-2, -1/4, 1
Let s(h) be the third derivative of 1/100*h**5 + 0*h + 8*h**2 + 0 + 1/15*h**4 + 1/2*h**3 - 1/900*h**6. Let i(b) be the first derivative of s(b). Factor i(d).
-2*(d - 4)*(d + 1)/5
Suppose b = 44*b + 10*b - 159. Let -2/3*j**b + 1/3*j**4 - 11/3*j**2 + 12 + 4*j = 0. What is j?
-2, 3
Let x(t) be the second derivative of 7*t**5 - 55*t**4/12 + 5*t**3/6 + 7*t - 8. Factor x(f).
5*f*(4*f - 1)*(7*f - 1)
Let s = 137 + -134. Factor -59*g**3 + 29*g**s + 50*g + 20*g**2 + 32*g**3.
2*g*(g + 5)**2
Suppose 0*s + 3383*s**2 + 14*s**3 - 13*s - 3395*s**2 - s**5 + 12 = 0. What is s?
-4, -1, 1, 3
Let s(x) be the second derivative of 0 - 1/10*x**5 + 1/3*x**4 - 1/15*x**6 + 5*x + 0*x**3 + 0*x**2. Determine o so that s(o) = 0.
-2, 0, 1
Let f(m) be the first derivative of -4*m - 11 - 4/9*m**3 + 10/3*m**2 - 1/3*m**4. Factor f(j).
-4*(j - 1)**2*(j + 3)/3
Let s = 142298/7 - 20328. Factor -6/7*c**2 + 0 + s*c**3 + 4/7*c.
2*c*(c - 2)*(c - 1)/7
Let w(m) = 15*m**5 + 16*m**4 + 7*m**3 - 4*m**2 - 2*m + 4. Let x(z) = -3*z**5 - z**3 + z**2 + z - 2. Let r(g) = 2*w(g) + 4*x(g). Factor r(h).
2*h**2*(h + 1)**2*(9*h - 2)
Let n(w) be the first derivative of -8 - 7/40*w**5 + 19/96*w**4 - 2*w**2 - 1/12*w**3 + 0*w. Let i(r) be the second derivative of n(r). Factor i(p).
-(6*p - 1)*(7*p - 2)/4
Let p = -260 - -262. Let w(n) be the third derivative of 1/600*n**6 + 1/300*n**5 + 0 + 0*n - 1/24*n**4 + 5*n**p + 1/10*n**3. Find s, given that w(s) = 0.
-3, 1
Let b(y) be the first derivative of y**7/210 - 2*y**6/75 + y**5/20 - y**4/30 + 11*y + 10. Let n(g) be the first derivative of b(g). Solve n(h) = 0.
0, 1, 2
Let h = 3647 - 25521/7. Solve -10/7*j - 2/7*j**3 + h*j**2 + 4/7 = 0.
1, 2
Let v**2 + 24*v + 11*v**2 - 16*v**2 = 0. Calculate v.
0, 6
Let j(o) be the third derivative of -o**6/600 + o**5/20 - 5*o**4/8 - 15*o**3/2 + 32*o**2. Let f(g) be the first derivative of j(g). Factor f(w).
-3*(w - 5)**2/5
Let i(o) = 4*o**3 + 2*o**2 - 4*o - 5. Let s(z) = -3*z**2 + 6 - 2 + 3*z - 3*z**3 + z**2. Suppose -112*j - 9 = -109*j. Let w(g) = j*s(g) - 2*i(g). Factor w(u).
(u - 1)*(u + 1)*(u + 2)
Let y(g) be the second derivative of 14*g**6/15 - 47*g**5/5 - 14*g**4/3 - 224*g. Solve y(z) = 0.
-2/7, 0, 7
Suppose 0*j + 2*q = 3*j - 4, -3*j - q = 2. Let f(m) be the second derivative of 0 + 1/30*m**5 - 1/18*m**4 + j*m**2 - 2/9*m**3 - 5*m. Factor f(c).
2*c*(c - 2)*(c + 1)/3
Let j(n) be the second derivative of -n**5/10 + 2*n**4/3 + 7*n**3/3 - 10*n**2 + 2*n + 11. Factor j(y).
-2*(y - 5)*(y - 1)*(y + 2)
Suppose 10*s**2 + 40/3*s**3 - 8/3 - 22/3*s**4 - 40/3*s = 0. What is s?
-1, -2/11, 1, 2
Let y be (-5)/(-120)*(1 - (-5 + 4)). Let o(r) be the second derivative of 0 - 1/8*r**2 - y*r**3 - 5*r - 1/48*r**4. Determine v so that o(v) = 0.
-1
Suppose -5*t = 3*k - 352, -2*k = -12*t + 7*t - 193. Let p be (0/(-2) - 1)*(-218)/k. Determine m so that -32/7*m**2 + p*m**3 - 4/7 + 22/7*m = 0.
2/7, 1
Let t(y) = -7*y**3 + y**2 - 3*y - 3. Let n(k) = k**3 + k**2 + k + 1. Suppose 3*j + 8 = -f + 2, -j = f. Let z(m) = f*n(m) + t(m). Factor z(d).
-4*d**2*(d - 1)
Let w be (-2)/7 - 144/(-63). Suppose 2*x - 2*z + w = 0, -2*x - 5*z = -23 - 3. Let -5*y**2 + 2*y**4 + 8*y**2 + 2 - 5*y - 3*y**4 + y**x = 0. What is y?
-2, 1
Let i be -4 + 1 + (60/6 - -1). Let d(z) be the second derivative of -i*z - 1/5*z**3 - 1/30*z**4 + 0 - 2/5*z**2. Factor d(w).
-2*(w + 1)*(w + 2)/5
Factor 32/7*a - 36/7 + 4/7*a**2.
4*(a - 1)*(a + 9)/7
Let q be (-4)/(-28) + (-3)/21. Let w = -2309/35 - -466/7. Factor 0*a - 3/5*a**2 + q - w*a**3.
-3*a**2*(a + 1)/5
Let x be (0 + 2)/(1 - 596/468). Let c 