*h. Let r be h/70 + 18/63. Factor -r*i**2 + 0*i + 0 - 2/5*i**4 - 8/5*i**3.
-2*i**2*(i + 2)**2/5
Let h be (2/(-5))/((-1)/5). Let x be 75/(-9) + 7 + (-136)/(-84). Factor -2/7*u**5 - x + 6/7*u - 4/7*u**3 - 4/7*u**h + 6/7*u**4.
-2*(u - 1)**4*(u + 1)/7
Suppose 20 - 14 = 2*u. Factor 4*c**2 - 2*c**3 - 4*c**u + 4*c**3 + 3*c**4 - 5*c**4.
-2*c**2*(c - 1)*(c + 2)
Suppose 20 + 11*i - 15*i - 24*i - 25*i**2 - 12*i = 0. Calculate i.
-2, 2/5
Let n = 1/38404 + -2343169/20162100. Let z = 2/75 - n. Suppose -1/7 - z*x**2 - 2/7*x = 0. What is x?
-1
Let q be ((2 - -1) + -2)*3. Suppose -q*n + 7 - 1 = 0. Let 2 + 2*t**n - 9*t**2 + 9*t - 4 = 0. Calculate t.
2/7, 1
Let a(z) be the third derivative of -z**5/60 + 2*z**4/9 + 2*z**3/3 - 44*z**2. Determine y, given that a(y) = 0.
-2/3, 6
Suppose o + 1 = 2*a, -8 = 12*o - 13*o - a. Let d(t) be the third derivative of 0 + 1/270*t**o + 1/18*t**4 + 1/3*t**3 + 0*t - 5*t**2. Solve d(g) = 0 for g.
-3
Suppose 0*j - 2 = -j. Let a(i) be the first derivative of 0*i - 1/2*i**2 - 1/3*i**3 + j - 1/16*i**4. Let a(f) = 0. What is f?
-2, 0
Suppose 1/7*m**2 + 0*m + 0 + 0*m**3 - 1/7*m**4 = 0. Calculate m.
-1, 0, 1
Let s = -2 + 14. Let u be (2/(-4))/((-2)/s). Let -3*a - u*a - a + 2*a**2 + 5*a = 0. Calculate a.
0, 1
Let x = 13 - 10. Let p(z) be the second derivative of 1/12*z**x + 1/60*z**6 + 2*z - 1/40*z**5 - 1/24*z**4 + 0 + 0*z**2. Factor p(j).
j*(j - 1)**2*(j + 1)/2
Let w(f) be the second derivative of -f**6/30 - 3*f**5/20 + 2*f**3/3 - 14*f. Factor w(h).
-h*(h - 1)*(h + 2)**2
Suppose -12 = -2*u + 32. Let i be 4/u - (-6)/(-33). Factor -1/2*x**2 + 1/4*x + i + 1/4*x**3.
x*(x - 1)**2/4
Let c(d) be the first derivative of d**5/240 + d**4/48 + d**3/24 - 2*d**2 + 4. Let x(u) be the second derivative of c(u). Solve x(a) = 0.
-1
Let z be (-40)/(-22) + (-5)/165*-6. Suppose -2/5 + 7/5*a + a**3 - 9/5*a**z - 1/5*a**4 = 0. What is a?
1, 2
Let k(p) be the third derivative of 0 + 2*p**2 + 0*p + 1/36*p**4 - 1/180*p**5 + 0*p**3. Factor k(o).
-o*(o - 2)/3
Let r be (4/(-6))/((-126)/(-2)). Let g = r - -8/27. Factor -4/7*p**2 + 0 - g*p**3 - 2/7*p.
-2*p*(p + 1)**2/7
Determine m, given that 0 - 8*m**4 + 2/3*m**5 + 56*m**2 + 98/3*m + 44/3*m**3 = 0.
-1, 0, 7
Let x(c) be the third derivative of -c**8/448 - c**7/280 + 3*c**6/160 + c**5/16 + c**4/16 + 4*c**2 - c. Factor x(a).
-3*a*(a - 2)*(a + 1)**3/4
Let w = -6 - -3. Let k = 5 + w. What is v in 0 + 0*v**k - 2/9*v**3 + 2/9*v = 0?
-1, 0, 1
Determine s, given that 6*s**2 + 20*s - 3*s**5 - 6*s**4 + 8*s - 25*s = 0.
-1, 0, 1
Let q(c) = c - 1. Let m(d) = d**2 + d. Let g(i) = -m(i) + q(i). Let u(a) = -5*a**2 - 3*a - 6. Let w(h) = 4*g(h) - u(h). What is s in w(s) = 0?
-2, -1
Let q(n) be the second derivative of 1/12*n**4 + 0 - 3/40*n**5 + 1/4*n**3 - 1/2*n**2 + 8*n. Suppose q(c) = 0. What is c?
-1, 2/3, 1
Let o(a) be the third derivative of a**6/60 + a**5/75 - a**4/12 - 2*a**3/15 + 29*a**2. Determine t so that o(t) = 0.
-1, -2/5, 1
Let v(o) be the second derivative of o**7/63 - o**5/15 + o**3/9 - 9*o. Find h such that v(h) = 0.
-1, 0, 1
Let b(n) = 11*n**2 - 24*n + 19. Let v(s) = 21*s**2 - 49*s + 39. Let u(o) = -11*b(o) + 6*v(o). Suppose u(d) = 0. What is d?
1, 5
Let k(b) = -5*b**2 - b + 2. Let h(u) be the third derivative of u**5/60 - 2*u**2. Let g = -4 + 3. Let x(i) = g*k(i) - 4*h(i). Factor x(q).
(q - 1)*(q + 2)
Let c be 12/10*(8 - (-66)/(-12)). Determine a so that 0*a**2 - 6/7*a + 2/7*a**c + 4/7 = 0.
-2, 1
Suppose 2*k + 90 = -3*k. Let l(c) = -27*c**3 - 12*c**2 + 21*c - 18. Let m(r) = -r**3 - r**2 + r - 1. Let w(o) = k*m(o) + l(o). Factor w(p).
-3*p*(p - 1)*(3*p + 1)
Suppose 20 = -o - 3*o, 5*o - 47 = -3*g. Let q be (g/(-40))/((-6)/4). Factor -4/5*r + q*r**2 + 0.
2*r*(r - 2)/5
Let l(k) = -3*k**3 - 73*k**2 - 207*k - 153. Let g(c) = -c**3 - 36*c**2 - 104*c - 76. Let q(j) = -7*g(j) + 4*l(j). Factor q(i).
-5*(i + 2)**2*(i + 4)
Let w = 46 + -780/17. Let m = 13/34 + w. Find o, given that -5/4*o + m - 3/4*o**2 = 0.
-2, 1/3
Let s = 343/52 + -76/13. Suppose 0*p + 0 - s*p**5 + 3/4*p**3 + 3/2*p**4 - 3/2*p**2 = 0. What is p?
-1, 0, 1, 2
Let u(j) be the second derivative of 4*j**7/63 + j**6/3 + 2*j**5/3 + 5*j**4/9 - j**2/3 - 7*j. Factor u(r).
2*(r + 1)**4*(4*r - 1)/3
Let c(f) be the second derivative of -f**4/66 + f**3/11 + 10*f. Factor c(o).
-2*o*(o - 3)/11
Solve 2*w**5 + 15*w**3 + 8*w**5 - 35*w**4 + 2*w + 30*w**3 + 3*w - 25*w**2 = 0.
0, 1/2, 1
Factor -2/3*a**3 + 2*a**2 - 2*a + 2/3.
-2*(a - 1)**3/3
Let m(a) = a**3 + 6*a**2 - 9*a - 6. Let k(h) = -h**2 + h. Let z(g) = -4*k(g) - m(g). Suppose z(s) = 0. Calculate s.
-3, -1, 2
Let h = -74/3 - -305/12. Factor -1/4*a**4 + 1/2*a + 0 - 1/4*a**5 + h*a**3 + 5/4*a**2.
-a*(a - 2)*(a + 1)**3/4
Let b = -854 + 7694/9. Determine x, given that 2/9 + b*x + 4/9*x**3 + 10/9*x**2 = 0.
-1, -1/2
Let k(f) be the third derivative of -f**7/1995 - f**6/285 - f**5/95 - f**4/57 - f**3/57 - 9*f**2. What is r in k(r) = 0?
-1
Let t = -1 - -3. Suppose 0 + 4 + 3*f**2 + t*f**4 - 7*f**2 - 2 = 0. What is f?
-1, 1
Let g = 9 + -7. Determine n, given that 5*n**2 + 0*n**g - 6 + 3*n - 2*n**2 = 0.
-2, 1
Determine w, given that -2/3*w**3 + 0*w + 0 + 10/3*w**2 = 0.
0, 5
Let v(b) be the first derivative of 38/5*b**5 + 0*b**2 - 7/3*b**6 + 0*b - 8/3*b**3 - 4*b**4 - 3. Let v(c) = 0. Calculate c.
-2/7, 0, 1, 2
Let l(h) = 3*h**2 - 6*h - 9. Let z(w) = -3*w**2 + 7*w + 10. Suppose 3*j - 6*j = 9. Let a(r) = j*z(r) - 4*l(r). Find o such that a(o) = 0.
-1, 2
Let l(y) be the first derivative of y**6/30 - y**5/5 + y**4/4 + 8*y + 2. Let i(t) be the first derivative of l(t). Determine x so that i(x) = 0.
0, 1, 3
Let r be 3 + ((-4)/(-1))/(-4). Factor 1/2*i**r - 2/3 - 1/6*i**3 + 0*i.
-(i - 2)**2*(i + 1)/6
Factor 10/7*t - 6/7*t**3 + 4/7 - 8/7*t**2.
-2*(t - 1)*(t + 2)*(3*t + 1)/7
Let g(b) = b**2 - b + 3. Let r be g(0). Find o, given that 2*o**3 - 1 + o**4 - 3 - 2*o + r = 0.
-1, 1
Let k be ((4 - 3)*-2)/(-6). Factor 1/6*c**4 + 0*c**3 + 0*c + 1/6 - k*c**2.
(c - 1)**2*(c + 1)**2/6
Let w be 4/(-16)*(1 - 1). Let u(l) be the third derivative of 0 - 1/96*l**4 + w*l + 0*l**3 - 1/480*l**6 + 1/120*l**5 - l**2. Let u(x) = 0. Calculate x.
0, 1
Let u = -4 - -28. Suppose -32 = -5*s + 3*n, 4*s - 5*n + 3*n = u. Find o such that -2*o**4 + 0*o**s + 0*o**4 = 0.
0
Let q(t) be the second derivative of t**4/6 + t**3 + 2*t**2 + 5*t. Factor q(f).
2*(f + 1)*(f + 2)
Suppose k - 2*q + 2 - 12 = 0, -3*k = 3*q - 3. Let j(c) be the first derivative of 1/4*c**2 - 1/8*c**k + 1/2*c + 1 - 1/6*c**3. Suppose j(l) = 0. Calculate l.
-1, 1
Let y = 7/23 - 47/230. Let n(h) be the second derivative of 0*h**4 + 0*h**6 + h + 0*h**2 + y*h**5 - 1/6*h**3 - 1/42*h**7 + 0. Factor n(v).
-v*(v - 1)**2*(v + 1)**2
Let x = -22 - -24. Let 1/4*t**4 + 0*t**x + 0*t - 1/4*t**3 + 0 = 0. Calculate t.
0, 1
Find d, given that 3/4 - 3*d + 3/4*d**4 + 9/2*d**2 - 3*d**3 = 0.
1
Suppose -o = o - 8. Let f(x) be the second derivative of 0 + 0*x**3 + 2*x + 0*x**2 + 1/42*x**o. What is g in f(g) = 0?
0
Suppose 3*g - 4*j - 86 = 47, -3*g = -3*j - 132. Let x = g - 171/4. Factor 0*l - 1/4 + x*l**2.
(l - 1)*(l + 1)/4
Let g = 25 - 15. Suppose g = c - 3*h, 0*c - 2*h + 4 = 2*c. Factor 2 - u**3 - 4*u**3 + 0*u**2 + u**2 - 4*u**4 + u**c + 5*u.
-(u - 1)*(u + 1)**2*(3*u + 2)
Let k(h) be the third derivative of h**5/150 - h**4/12 + 2*h**3/5 - 23*h**2. Let k(x) = 0. What is x?
2, 3
Let h(o) be the first derivative of -2*o**5/15 + 4*o**3/9 - 2*o/3 + 4. Solve h(n) = 0.
-1, 1
Let i be ((-8)/(-70))/((-78)/(-65)). Let v(g) be the second derivative of -3*g + 0 - 1/42*g**4 - 1/7*g**2 + i*g**3. Solve v(n) = 0.
1
Let u be (3 - 1) + 1*2. Suppose 0 = p + u*p - 10. Solve 4 + 4*d**2 - 3*d**p - 5 = 0 for d.
-1, 1
Let y(d) = d - 1. Let m(n) = 15*n**2 - 20*n + 5. Let s(i) = m(i) - y(i). Find t such that s(t) = 0.
2/5, 1
Let s(h) = -h**2 - h - 1. Let f(y) = 56*y**2 - 34*y + 14. Let z(g) = f(g) + 6*s(g). Factor z(t).
2*(5*t - 2)**2
Factor 12/7 + 58/7*d + 18/7*d**2.
2*(d + 3)*(9*d + 2)/7
Suppose 5*n + 5 = -4*j + 18, -5*j + n + 38 = 0. Let x be (238/8)/j - 4. Suppose 0 + 1/4*t**5 - 1/4*t**2 + 1/4*t**4 - x*t**3 + 0*t = 0. Calculate t.
-1, 0, 1
Let x be 3*1/(6/(-4)). Let w = x - -4. Factor 10*t**2 - t**w - 7*t**2.
2*t**2
Let z = 6 + -6. Let k(c) be the third derivative of 1/300*c**6 - c**2 + 0 + 1/75*c**5 + z*c - 2/15*c**3 - 1/60*c**4. Let k(u) = 0. What is u?
-