1))*1. Solve -3*v**2 + 3*v**j - 6*v + 0*v**2 - 4 - 2*v**m = 0.
-2, -1
Let q(y) = -2*y**2 - 2*y + 3. Let u(c) = c**2 + 2*c - 2. Let s(a) = a**3 + 9*a**2 - a + 6*a + 10 + 4*a. Let m be s(-8). Let n(g) = m*q(g) + 3*u(g). Factor n(d).
-d*(d - 2)
Let g(h) = -h**3 - h**2. Let b(l) = 24*l**3 + 68*l**2 + 192*l + 256. Let w(i) = b(i) + 20*g(i). Suppose w(y) = 0. Calculate y.
-4
Suppose 4*r - 3*f + 7 = 0, 0*f = -4*r + f + 3. Let g be 40/63 - 4/(-18). Solve -2/7*d**3 - g*d**r - 2/7 - 6/7*d = 0.
-1
Let a(z) = -9*z**2 + z. Let k be a(1). Let o = k - -12. Determine v so that 0*v**2 - 2*v**o + 0*v**2 + 2*v**2 + 2*v**3 - 2*v**5 + 0*v**3 = 0.
-1, 0, 1
Let h(p) be the first derivative of -p**3 - 3*p**2/2 - 6. Suppose h(g) = 0. What is g?
-1, 0
Suppose 9*o - 14 = 4. Solve -1/5*q**o - 4/5 - 4/5*q = 0.
-2
Suppose 4/5*l**2 + 4/5*l**3 + 0 - 4/5*l**5 - 4/5*l**4 + 0*l = 0. What is l?
-1, 0, 1
Let q(m) be the second derivative of m**7/98 - 3*m**5/70 + m**3/14 - 5*m. Factor q(h).
3*h*(h - 1)**2*(h + 1)**2/7
Let h = -19 - -25. Let n be h + (6 + -3 - 3). Determine i so that -4/3 - n*i**2 + 14/3*i - 2/3*i**4 + 10/3*i**3 = 0.
1, 2
Factor 0 + 0*h + 2/13*h**3 - 4/13*h**2 + 2/13*h**4.
2*h**2*(h - 1)*(h + 2)/13
Factor -2/5*j**4 - 8/5*j - 8/5 + 4/5*j**3 + 6/5*j**2.
-2*(j - 2)**2*(j + 1)**2/5
Let v(c) be the second derivative of -7*c**4/48 - 5*c**3/24 + c**2/4 + 19*c. Factor v(o).
-(o + 1)*(7*o - 2)/4
Let w be (27/(-36))/(2/(-24)). Let h be ((-4)/6)/((-6)/w). Find m, given that -3/2*m + h + 1/2*m**2 = 0.
1, 2
Let k(q) be the third derivative of -1/27*q**3 + 4*q**2 - 1/270*q**5 + 0*q + 1/54*q**4 + 0. Let k(z) = 0. What is z?
1
Let x be 108/45*(-10)/(-3). Let y be 1*(6/x)/3. Let -y*b**2 + 1/2 - 1/4*b = 0. What is b?
-2, 1
Let o = -4 - -3. Let l = 1 - o. Factor -4/7 + 2/7*t**l + 2/7*t.
2*(t - 1)*(t + 2)/7
Suppose -r + 5*o = -22, -9 = 5*r + 5*o + 1. Factor 0 - 2 + r + x**4.
x**4
Find q such that 2/15*q**3 + 0 + 2/15*q**2 - 2/15*q - 2/15*q**4 = 0.
-1, 0, 1
Determine y, given that 14/9*y**3 - 16/9 - 4*y**2 + 40/9*y - 2/9*y**4 = 0.
1, 2
Let b(y) be the first derivative of 1/3*y**2 - 3 + 0*y**3 - 1/6*y**4 + 0*y. Factor b(l).
-2*l*(l - 1)*(l + 1)/3
Let u(o) be the third derivative of -o**9/52920 + o**8/23520 + o**7/8820 - o**6/2520 + o**4/24 - 2*o**2. Let t(c) be the second derivative of u(c). Factor t(d).
-2*d*(d - 1)**2*(d + 1)/7
Let w(p) be the first derivative of 0*p**2 + 2/5*p**5 - 2 + 0*p + 0*p**4 - 2/3*p**3. Find k such that w(k) = 0.
-1, 0, 1
Let p(l) be the first derivative of -5*l**4/4 - 5*l**3 - 15*l**2/2 - 5*l - 51. Factor p(a).
-5*(a + 1)**3
Let -1/2*i**5 + 0*i**3 + 0*i**2 - i**4 + 0 + 0*i = 0. Calculate i.
-2, 0
Let g(m) be the third derivative of -m**6/420 - m**5/210 + m**4/42 - 3*m**2. Factor g(u).
-2*u*(u - 1)*(u + 2)/7
Let h be (-10)/(-6) - (5 + 16/(-3)). Suppose 1/2*a**3 - 1/2*a**h - a + 0 = 0. Calculate a.
-1, 0, 2
Let t(f) be the first derivative of -4*f**5/5 + 3*f**4 + 12*f**3 + 10*f**2 + 41. Factor t(a).
-4*a*(a - 5)*(a + 1)**2
Let u(z) = 2*z**4 + 9*z**3 - 9*z**2 - 2*z. Let c(x) = -3*x**4 - 9*x**3 + 9*x**2 + 3*x. Let w(f) = 5*c(f) + 6*u(f). Determine d, given that w(d) = 0.
0, 1
Let v be (-4 + (-9)/(-3))*-2. Factor 4*q**3 - q + 117*q**2 + q - 125*q**v.
4*q**2*(q - 2)
Factor 9*h - 5*h - 3*h**2 + 3 - 4*h.
-3*(h - 1)*(h + 1)
Factor 0 - 2*r**2 - 6*r + 8*r + 2 - 2*r**3.
-2*(r - 1)*(r + 1)**2
Let d be (-6)/6*((-9)/3 - -2). Let u(o) be the first derivative of -1/2*o**4 - 5*o**2 - 4*o - d - 8/3*o**3. Find i such that u(i) = 0.
-2, -1
Let b(g) be the third derivative of 1/72*g**4 - 1/360*g**6 + 0 + 0*g**3 - g**2 + 0*g + 0*g**5. Factor b(f).
-f*(f - 1)*(f + 1)/3
Let i(j) = -j**2 + 7. Let r be i(0). Suppose 4*t + 12 = 2*p - 0, 3*p - r = -5*t. Factor 5*c**4 + c + 1 - 2*c**2 - p*c**4 + c**5 + 4*c**3 - 6*c**3.
(c - 1)**2*(c + 1)**3
Let m(b) be the third derivative of -5*b**8/336 + 5*b**7/42 - b**6/12 - 2*b**5/3 - 25*b**2. Let m(q) = 0. What is q?
-1, 0, 2, 4
Let n(q) be the first derivative of 4*q**6/33 + 2*q**5/5 + 9*q**4/22 + 2*q**3/33 - q**2/11 + 6. Factor n(s).
2*s*(s + 1)**3*(4*s - 1)/11
Let m(a) = -a**2 - 8*a - 2. Let w be m(-7). Factor 2*h**3 - h**5 + 3*h**4 - 2*h**4 - 2*h**w + 2*h**5.
-h**3*(h - 2)*(h + 1)
Factor 3/4*m**2 - 3/4 + 1/4*m**3 - 1/4*m.
(m - 1)*(m + 1)*(m + 3)/4
Let q(z) be the third derivative of z**7/210 - z**5/60 + 2*z**2. Determine t so that q(t) = 0.
-1, 0, 1
Let z(w) be the first derivative of 27*w**4/28 - 3*w**3 + 24*w**2/7 - 12*w/7 - 24. Factor z(d).
3*(d - 1)*(3*d - 2)**2/7
Let y(s) = s**4 - 4*s**3 - 11*s**2 + 9*s + 3. Let z(l) = l**4 - 3*l**3 - 10*l**2 + 10*l + 2. Let a(q) = -4*y(q) + 6*z(q). Factor a(k).
2*k*(k - 2)**2*(k + 3)
Let m(p) = p**3 - 5*p**2 + p - 1. Let n be m(5). Factor -y**2 + 3*y**2 - 3*y**4 - 5*y**4 - y + y**5 + 6*y**n.
y*(y - 1)**3*(y + 1)
Let p(k) = -k**3 - 10*k**2 + k + 14. Let v be p(-10). Let x be (1 + v + -4)*4. Solve -1/2*c**x + 0 + c**2 + 0*c + 1/2*c**3 = 0 for c.
-1, 0, 2
Let d(i) be the first derivative of i**2 + 0*i + 10/3*i**3 + 6/5*i**5 + 2 + 7/2*i**4. Suppose d(y) = 0. Calculate y.
-1, -1/3, 0
Let l(v) be the first derivative of -v**4/24 + 5*v**3/18 - 34. Let l(x) = 0. Calculate x.
0, 5
Let s(f) be the second derivative of f**6/360 - f**5/120 - f**4/12 + f**3/6 - 2*f. Let u(b) be the second derivative of s(b). Determine d so that u(d) = 0.
-1, 2
Let b(z) be the third derivative of z**7/280 - z**6/80 - 3*z**5/80 + z**4/8 + z**3/2 - 9*z**2. Factor b(w).
3*(w - 2)**2*(w + 1)**2/4
Let m(o) = -7*o**2 - 10*o - 1. Let l(c) = c**2 + 1. Let d = -13 + 14. Let b = -3 + 2. Let z(g) = b*l(g) + d*m(g). Solve z(s) = 0 for s.
-1, -1/4
Suppose -4*m - 16 = -2*o, 2*o + 2*m - 1 = -3. Factor -3/2*q**3 - o*q + 1/4*q**4 + 3*q**2 + 0.
q*(q - 2)**3/4
Let y(w) = w**3 + 3*w**2 - 5*w - 5. Let u be y(-4). Let f = 3 + u. Find t such that 3*t + 7*t**3 + 7*t**f + 5*t**2 + 0*t**2 - 2 = 0.
-1, 2/7
Suppose -3 - 2 - 2 + 3*s - 3*s**3 - 2 + 9*s**2 = 0. What is s?
-1, 1, 3
Factor -1/4*n**2 - 5/2 + 7/4*n.
-(n - 5)*(n - 2)/4
Let j(i) be the third derivative of i**8/1120 + i**7/168 + i**6/240 - i**5/20 - i**4/4 + 6*i**2. Let c(m) be the second derivative of j(m). Solve c(u) = 0.
-2, -1, 1/2
Let d(w) = -w**2 - 7*w - 6. Let f be d(-4). Let i = f + -3. Solve -4*n**i - 4*n**5 - 2*n**3 - n + 2*n**2 - 10*n**4 + 3*n = 0.
-1, 0, 1/2
Suppose 4*a + 4 - 12 = 0. Let p = 15/8 + -13/8. Suppose 1/4*z**5 - 1/2*z**a + 1/4*z**4 - 1/2*z**3 + p*z + 1/4 = 0. Calculate z.
-1, 1
Let x = 73 + -71. Let n(p) be the third derivative of -1/24*p**3 + 1/240*p**5 + 1/480*p**6 - 1/96*p**4 + p**x + 0 + 0*p. Find l such that n(l) = 0.
-1, 1
Let v(k) be the first derivative of k**6/21 + 6*k**5/35 - k**4/14 - 2*k**3/7 + 10. Solve v(g) = 0 for g.
-3, -1, 0, 1
Let l(x) = -x**3 + 8*x**2 + 9. Let k be l(8). Let p = k + -6. Factor -p*i**3 - 2*i**3 + 0*i**3 + 2 - i - 8*i**2.
-(i + 1)**2*(5*i - 2)
Let t(z) = 1690*z**3 + 1159*z**2 - 491*z + 51. Let u(m) = 338*m**3 + 232*m**2 - 98*m + 10. Let l(o) = 2*t(o) - 11*u(o). Solve l(g) = 0.
-1, 2/13
Let g(t) be the second derivative of t**7/252 - t**6/60 - 3*t**5/40 - 5*t**4/72 - 15*t - 1. Solve g(h) = 0.
-1, 0, 5
Factor 0*y**4 + 0*y**2 + 3/4*y + 3/4*y**5 + 0 - 3/2*y**3.
3*y*(y - 1)**2*(y + 1)**2/4
Let x = -195 - -198. Suppose -3*w - 3/5 - 21/5*w**2 - 9/5*w**x = 0. Calculate w.
-1, -1/3
Let v(z) be the second derivative of 2*z**6/105 + z**5/7 - 2*z**4/7 + 24*z. Factor v(q).
4*q**2*(q - 1)*(q + 6)/7
Let b = -12 - -14. Let z(c) be the second derivative of -1/168*c**7 - 1/40*c**6 + 0 + 0*c**4 + 3*c + 0*c**b + 0*c**3 - 1/40*c**5. Let z(y) = 0. Calculate y.
-2, -1, 0
Suppose 2*g = g. Suppose g = 5*n - 0*n - 20. Factor q**n + 1/3*q**5 + q**3 + 0*q + 1/3*q**2 + 0.
q**2*(q + 1)**3/3
Let c(j) = -3*j**2 + 22*j + 23. Let x(w) = -80*w**2 + 595*w + 620. Let g(l) = 55*c(l) - 2*x(l). What is y in g(y) = 0?
-1, 5
Let f(c) be the second derivative of -c**5/30 + c**3/9 - 14*c. Factor f(t).
-2*t*(t - 1)*(t + 1)/3
Let t(u) = -2*u**2 + 12. Let w be t(0). Suppose -w*j = -9*j. Determine k so that -4/7*k**2 + 2/7*k + 2/7*k**3 + j = 0.
0, 1
Let b be 599/(-24)*3/171. Let k = 1/152 - b. Find y, given that 2/9 + 4/9*y**2 - 2/3*y**4 - k*y**3 + 2/3*y - 2/9*y**5 = 0.
-1, 1
Let r(k) be the first derivative of -k**4/6 + 40*k**3/9 - 100*k**2/3 + 25. Let r(c) = 0. Calculate c.
0, 10
Let p be 8/