olve t(z) = 0.
-1, 2/7, 1
Let x be (2 - (-24)/(-15))*5. Let k be (-1)/(-2) - x/20. Determine w so that -k - 2/5*w**2 + 8/5*w - 12/5*w**3 = 0.
-1, 1/3, 1/2
Let h be (2/4)/((-8)/(-32)). Factor 2 - 6*g**2 + 4*g**3 - 4*g - h + 6*g**4.
2*g*(g - 1)*(g + 1)*(3*g + 2)
Let c(n) = -4*n + 6. Let b be c(1). Solve 1/3*s**4 + 2/3*s**3 + 0*s + 0 + 1/3*s**b = 0.
-1, 0
Let d(q) = -3*q**2 - q - 5. Let z(f) = -3 + 1 + f**2 - 3*f**2 + f**2. Let i(l) = -4*d(l) + 10*z(l). Factor i(p).
2*p*(p + 2)
Let c(i) be the third derivative of i**6/120 - i**5/60 + 7*i**2. Suppose c(f) = 0. Calculate f.
0, 1
Suppose -12 = -3*t - 6. Factor -14 + 2 - 2*b**2 - b**t + 6*b**2.
3*(b - 2)*(b + 2)
Let h(a) be the first derivative of -a**3/3 - 7*a**2/2 - 6*a + 4. Let h(z) = 0. What is z?
-6, -1
Factor -r**3 - r**2 + 126*r**4 - r**3 - r**2 + 2*r**5 - 124*r**4.
2*r**2*(r - 1)*(r + 1)**2
Suppose -3*j = -2*i - 8, 0 = 4*j - 0*j - 4*i - 12. Find y, given that 5 + 9*y**2 + 6*y**j - 5*y - 2 + 23*y = 0.
-1, -1/5
Suppose -5*t + 5*l + 25 = -0*t, -2 = 5*t + 4*l. Solve -4/3 - 4/3*d - 1/3*d**t = 0 for d.
-2
Suppose 0 = -86*k + 91*k. Determine c so that 2/7 + 0*c**3 - 4/7*c**2 + 2/7*c**4 + k*c = 0.
-1, 1
Let j(k) be the second derivative of -k**3 - 1/3*k**4 + 1/5*k**6 + 1/5*k**5 - k**2 + 1/21*k**7 + 0 - 5*k. Suppose j(q) = 0. What is q?
-1, 1
Let g(z) = 4*z - 10. Let b be g(8). Let j = -16 + b. What is i in -i**2 + 5/2*i**5 + 0*i + 9/2*i**3 - j*i**4 + 0 = 0?
0, 2/5, 1
Let z be (0/(-3) - 1)*-62. Let a be (-2)/10 + z/110. Factor a*f - 2/11*f**2 - 2/11.
-2*(f - 1)**2/11
Let x be (-2 - -1 - -2)*84. Let n = x - 333/4. Factor 0 - 3/2*j - n*j**2.
-3*j*(j + 2)/4
Suppose -4*c + 3*b + 3 + 18 = 0, 0 = 5*c - 5*b - 30. Factor 2*s - 6*s**4 + 6*s**c + 6*s**2 + 0*s**4 + 8*s**4.
2*s*(s + 1)**3
Let q(h) = h**4 + h**2 - h - 1. Let r(g) = -4*g**2 - 12*g**3 + 5 + 4*g - 9*g**4 - 1 - g**2 - 2. Let s(u) = -2*q(u) - r(u). Factor s(b).
b*(b + 1)**2*(7*b - 2)
Let o(j) be the third derivative of -j**6/40 - 3*j**5/20 - j**4/4 - j**2. Factor o(b).
-3*b*(b + 1)*(b + 2)
Let s(d) = -d**3 + 5*d**2 + 8*d - 9. Let h be s(6). Let g be 17/20 + (-3)/12. What is q in 3/5*q + 6/5 - 9/5*q**2 + 3/5*q**4 - g*q**h = 0?
-1, 1, 2
Let q(l) be the second derivative of l**8/1344 - l**6/160 - l**5/120 + 9*l**2/2 + 2*l. Let h(c) be the first derivative of q(c). Solve h(y) = 0.
-1, 0, 2
Let w(n) be the second derivative of n**6/105 - 3*n**5/35 - 14*n. Determine z so that w(z) = 0.
0, 6
Let d be 4/18 - 280/45. Let g = d - -9. Let 2*m**4 + m**g + 9*m**3 + 6*m**2 - m**3 + m**4 = 0. What is m?
-2, -1, 0
Let l be (3/(-9))/(1/(-3)). Let y be 3 - (8/(-7) - l). Determine p, given that 16/7 + y*p**2 - 54/7*p**4 + 54/7*p**3 - 8*p = 0.
-1, 2/3
Let w(o) be the second derivative of 0 - 1/4*o**4 + o + 0*o**2 - 1/6*o**3 + 1/5*o**5. Let w(k) = 0. Calculate k.
-1/4, 0, 1
Let h(l) be the second derivative of -l**7/84 + l**6/15 - 3*l**5/20 + l**4/6 - l**3/12 + 4*l. Suppose h(i) = 0. What is i?
0, 1
Let s(x) = -4*x - 7. Let o be s(-3). Factor -2*h - 2 + o*h + 7*h - 8*h**2.
-2*(h - 1)*(4*h - 1)
Suppose 3*v = -4*m + 6*m + 11, 5*m - 20 = -2*v. Factor 3*x**2 - x**2 - m*x**3 - 4*x**2 + 0*x**2.
-2*x**2*(x + 1)
Let i(y) be the second derivative of -49*y**6/195 + 7*y**5/13 + y**4/26 - 20*y**3/39 - 4*y**2/13 - 7*y. Let i(b) = 0. Calculate b.
-2/7, 1
Suppose 8/13*t**2 - 10/13*t - 12/13 = 0. What is t?
-3/4, 2
Let v(p) be the first derivative of -7*p**6/60 + 9*p**5/40 + p**4/2 - p**3/3 - p + 8. Let y(s) be the first derivative of v(s). Factor y(l).
-l*(l - 2)*(l + 1)*(7*l - 2)/2
Let v(g) be the first derivative of -4 - 2/3*g**3 - 1/2*g**4 + 2/5*g**5 + 1/3*g**6 + 0*g**2 + 0*g. Factor v(o).
2*o**2*(o - 1)*(o + 1)**2
Let z(n) be the third derivative of n**8/840 - 4*n**7/525 + n**6/50 - 2*n**5/75 + n**4/60 + 6*n**2. Let z(d) = 0. What is d?
0, 1
Let v(i) be the first derivative of i**6/96 + i**5/20 + 3*i**4/32 + i**3/12 - 3*i**2/2 - 2. Let l(s) be the second derivative of v(s). Factor l(t).
(t + 1)**2*(5*t + 2)/4
Let v(w) be the first derivative of w**6/120 - w**5/40 - w**4/4 - 2*w**3/3 + 8. Let b(j) be the third derivative of v(j). What is z in b(z) = 0?
-1, 2
Factor 5/2 + 5/4*r - 5/4*r**2.
-5*(r - 2)*(r + 1)/4
Suppose -x = -3*x + 4. Find d such that 2*d**4 - 2*d**3 - 15*d**2 + 13*d**2 + 0*d**3 + x*d**5 = 0.
-1, 0, 1
Let -12*t + 2*t**2 + 14*t - 4*t - 3*t**3 + 5*t**3 - 2 = 0. What is t?
-1, 1
Let -16/9*h**3 + 4/9*h**5 + 8/9*h**2 + 4/3*h - 8/9 + 0*h**4 = 0. Calculate h.
-2, -1, 1
Suppose -5*v = -2*v + 5*i + 19, 5*v + i = 5. Let d = v - -1. Factor 0 + 1/3*w**2 + 0*w**d - 1/3*w**4 + 0*w.
-w**2*(w - 1)*(w + 1)/3
Let a(d) = -14*d**3 + 2*d**2 - 3*d + 2. Let w be a(2). Let i = w + 542/5. Let -8/5 + 8/5*f - 4/5*f**3 - i*f**4 + 6/5*f**2 = 0. What is f?
-2, 1
Let 12/7 + 81/7*j**3 + 96/7*j + 207/7*j**2 = 0. What is j?
-2, -1/3, -2/9
Let u(g) = -g + 11. Let c be u(7). Suppose -2*p + 3*p**3 + p**2 - 3*p**3 - p**c + 6*p**4 + 8*p**3 = 0. What is p?
-1, 0, 2/5
Let s be (-59)/((-3)/((-27)/(-3))). Let l = 1601/9 - s. Suppose -10*d**3 - l*d + 98/9*d**5 - 56/9*d**4 + 0 + 56/9*d**2 = 0. Calculate d.
-1, 0, 2/7, 1
Let a(g) = g**3 - 2*g**2 - 3*g. Let x be a(3). Suppose x*r = 6*r. Let r*h + 0 + 0*h**2 + 3/4*h**3 = 0. What is h?
0
Let n(a) be the third derivative of -a**5/180 + a**4/8 + 2*a**2. Factor n(v).
-v*(v - 9)/3
Let u(o) be the third derivative of o**5/270 + o**4/54 - 7*o**2. Factor u(p).
2*p*(p + 2)/9
Let n(f) be the second derivative of -3*f - 1/10*f**5 - 1/9*f**4 + 1/3*f**3 + 0 + 2/3*f**2. Suppose n(a) = 0. Calculate a.
-1, -2/3, 1
Let g(s) = s**3 + 2*s**2 - s + 6. Let z be g(-3). Let x(r) be the first derivative of 1/3*r**3 - 1/6*r**6 - 3/4*r**4 + 3 + z*r + 3/5*r**5 + 0*r**2. Factor x(v).
-v**2*(v - 1)**3
Let z(t) = -2*t**5 + 5 + t + 3*t - 3*t**3 + t - 11*t**4 - 2*t**3. Let r(k) = 9*k**5 + 45*k**4 + 21*k**3 - 21*k - 21. Let a(j) = 5*r(j) + 21*z(j). Factor a(v).
3*v**4*(v - 2)
Let y(d) = 2*d**2 + 23*d + 9. Suppose 4*v - 14 = -6. Let x(l) = -8*l - l**v + 2 + 4 - 9. Let u(g) = 7*x(g) + 2*y(g). Factor u(s).
-(s + 3)*(3*s + 1)
Let h(m) = m**2 - 26*m + 48. Let q(v) = 6*v**2 - 183*v + 336. Let o(c) = -15*h(c) + 2*q(c). Let o(x) = 0. What is x?
4
Suppose 0 = 4*h - 4*j - 8, -10*h + 10 = -5*h - 2*j. Factor 1/6*q - 1/3*q**3 + 1/6 - 1/3*q**h + 1/6*q**4 + 1/6*q**5.
(q - 1)**2*(q + 1)**3/6
Let b(v) be the first derivative of -v**6/30 + v**5/15 - v**4/24 + v**2/2 + 2. Let r(m) be the second derivative of b(m). Solve r(t) = 0 for t.
0, 1/2
Let y(n) be the second derivative of -3*n + 0*n**4 + 1/5*n**6 + 3/20*n**5 + 0*n**2 + 0 + 0*n**3 + 1/14*n**7. Factor y(o).
3*o**3*(o + 1)**2
Let v(g) be the first derivative of -g**8/840 + g**7/420 + 4*g**3/3 - 1. Let l(t) be the third derivative of v(t). Let l(d) = 0. Calculate d.
0, 1
Let o(d) be the third derivative of 0 - 1/120*d**4 + 1/300*d**5 + 1/600*d**6 + 0*d**3 + 0*d - 1/1050*d**7 - 9*d**2. Determine a so that o(a) = 0.
-1, 0, 1
Let t(j) be the third derivative of -j**6/140 - 13*j**5/420 - j**4/21 - j**3/42 + 26*j**2. Factor t(k).
-(k + 1)**2*(6*k + 1)/7
Let t = 6 - 6. Let j(p) be the second derivative of 0 + 0*p**3 - p + 1/6*p**4 + t*p**2. Determine a, given that j(a) = 0.
0
Let g(m) be the second derivative of m**5/100 - m**4/30 - m**3/30 + m**2/5 + 18*m. Suppose g(o) = 0. What is o?
-1, 1, 2
Let r(k) be the first derivative of -4/7*k - 1/7*k**2 + 2/21*k**3 - 2. Factor r(v).
2*(v - 2)*(v + 1)/7
Let b(t) = t + 12. Let a be b(-10). Suppose 0 = a*v - 0 - 6. Suppose 2/3*k**2 - 1/3*k**v + 0 - 1/3*k = 0. What is k?
0, 1
Let s be ((-60)/45)/(4/6) + 4. Let u(v) be the first derivative of 1 - 2/27*v**3 + 1/3*v**s - 4/9*v. Let u(i) = 0. Calculate i.
1, 2
What is m in 0 - 2/9*m**3 + 2/9*m + 0*m**2 = 0?
-1, 0, 1
Let g(d) be the first derivative of -2*d**3/3 + 6*d**2 - 18*d + 33. Suppose g(l) = 0. Calculate l.
3
Let p(a) be the third derivative of a**7/105 - a**5/30 - 5*a**2. Factor p(r).
2*r**2*(r - 1)*(r + 1)
Suppose 0*w + 3*w = 6. Let k = -26 - -26. Let w*g - 3 - g**2 + k*g + 2 = 0. Calculate g.
1
Let t(h) be the first derivative of -2*h**5/75 + 2*h**4/15 + 4*h**3/45 - 4*h**2/5 - 6*h/5 + 11. Factor t(u).
-2*(u - 3)**2*(u + 1)**2/15
Suppose 0*k = 2*k - 5*o - 9, -30 = -5*k + 5*o. Let y = -5 + k. Factor 5*z**3 - 3*z**3 - y*z**5 + 3*z**2 - z**2 - 2*z**4 + 0*z**4.
-2*z**2*(z - 1)