**2 - 3. Let m(q) = q + 1. Let d = 1 - -1. Let p be (12/2)/2 + -2. Let r(y) = d*m(y) + p*h(y). Solve r(b) = 0.
1
Suppose 0 = 5*o + a - 15, o + 0*a = 2*a + 3. Let t(z) be the second derivative of 2*z**2 + 1/3*z**o + 2*z + 0 - 1/6*z**4. Factor t(q).
-2*(q - 2)*(q + 1)
Determine s, given that 0 + 0*s + 2/5*s**3 + 1/5*s**4 + 1/5*s**2 = 0.
-1, 0
Let u be (0 + 0)*1*3/(-6). Suppose u + 0*i + 1/3*i**2 + 1/3*i**3 = 0. Calculate i.
-1, 0
Determine b, given that -8/9*b**2 - 16/9 + 4/9*b**3 - 28/9*b = 0.
-1, 4
Let o be 123/39 - (-3)/39*-2. Let f(u) be the first derivative of 0*u - 4/3*u**o + 2 - 2*u**2 - 1/4*u**4. Find y, given that f(y) = 0.
-2, 0
Let u(r) = 4*r**2 - 12*r + 2. Let n(k) = -k**2 + k - 1. Let y(l) = 6*n(l) + u(l). Factor y(w).
-2*(w + 1)*(w + 2)
Let o = -26 - -38. Let r be -1*(-2 + 20/o). Solve -m**2 + 0 - 2/3*m - r*m**3 = 0 for m.
-2, -1, 0
Let c be ((-6)/(-18))/(2/18). What is b in -5 - 2*b + 2 + 2 + 0 + c*b**2 = 0?
-1/3, 1
Suppose -5 - 1 = -3*n. What is o in -4*o**5 - 2*o + 4*o - 4*o + 9*o**3 + 5*o**n - 5*o**4 - 3*o**5 = 0?
-1, 0, 2/7, 1
Let a(u) be the third derivative of u**7/210 - u**6/120 - u**5/60 + u**4/24 + 11*u**2. Let a(o) = 0. Calculate o.
-1, 0, 1
Let d(f) = 2*f - 11. Let q be d(7). Let w(j) = -26*j**2 + 6*j. Let a(c) = 3*c**2 + 6*c**2 - c - c. Let u(k) = q*w(k) + 8*a(k). Factor u(g).
-2*g*(3*g - 1)
Let c(m) be the third derivative of 1/21*m**4 - 4*m**2 - 1/210*m**5 - 4/21*m**3 + 0 + 0*m. Factor c(o).
-2*(o - 2)**2/7
Let s(c) be the second derivative of c**6/108 - 16*c**5/135 + 19*c**4/36 - 2*c**3/3 - c**2 - 7*c. Let k(p) be the first derivative of s(p). Solve k(d) = 0.
2/5, 3
Let c(o) be the third derivative of -o**8/2016 - o**7/180 - o**6/80 + 3*o**5/40 + 3*o**4/8 + 39*o**2. Factor c(j).
-j*(j - 2)*(j + 3)**3/6
Let x(p) be the second derivative of 3*p**5/40 + p**4/8 - p. Find j, given that x(j) = 0.
-1, 0
Let t be (-2)/(-10) + 2/(-10). Let r be 10 + -3 + -6 - (-2)/(-2). Factor 1/3*a**2 + t - 1/3*a**3 + r*a.
-a**2*(a - 1)/3
Solve 6/7*z**3 - 4/7*z**5 + 0 - 2/7*z**2 - 2/7*z + 2/7*z**4 = 0 for z.
-1, -1/2, 0, 1
Let p be (-102)/(-9) + (-2)/6. Let m = -8 + p. Solve y + 4 - 10*y**m - y**2 + 9*y - 3*y**2 = 0 for y.
-1, -2/5, 1
Factor 3/4*f**2 + 3/4*f + 1/4 + 1/4*f**3.
(f + 1)**3/4
Let p(w) = -w. Let i(v) = -10*v**2 + 6*v + 8. Let c(y) = -2*i(y) + 20*p(y). What is x in c(x) = 0?
-2/5, 2
Let s = 127 + -123. What is t in 2/5*t - 16/5*t**2 + 16/5*t**s + 0 - 32/5*t**5 + 6*t**3 = 0?
-1, 0, 1/4, 1
Let w(n) be the second derivative of -n**5/150 + n**4/60 - 3*n**2 - 2*n. Let v(h) be the first derivative of w(h). Factor v(i).
-2*i*(i - 1)/5
Let y be 22*3/12*3. Let n = y - 95/6. Factor 2/3*w - 2/3*w**3 + 2/3 - n*w**2.
-2*(w - 1)*(w + 1)**2/3
Let r(m) be the second derivative of -3*m**5/5 - 5*m**4/4 + 25*m. Determine j, given that r(j) = 0.
-5/4, 0
Let x = -315/4 - -79. Find a such that x + 1/2*a + 1/4*a**2 = 0.
-1
Let d(t) be the first derivative of t**7/42 - t**6/30 - t**5/20 + t**4/12 - 2*t + 2. Let a(o) be the first derivative of d(o). Factor a(i).
i**2*(i - 1)**2*(i + 1)
Factor 2/13*w**2 + 0 + 2/13*w**4 - 4/13*w**3 + 0*w.
2*w**2*(w - 1)**2/13
Let f(p) be the first derivative of -9/4*p**4 + 8 - 1/2*p**6 + p**3 + 0*p**2 + 0*p + 9/5*p**5. Factor f(k).
-3*k**2*(k - 1)**3
Factor -2 + 7*o + 4*o - 2*o**2 - 15*o.
-2*(o + 1)**2
Let n(r) = -2*r**2 + 29*r - 14. Let j be n(14). What is k in 4/3*k**2 + j + 2/3*k**3 - 4/3*k**4 + 1/3*k - k**5 = 0?
-1, -1/3, 0, 1
Let l(i) be the first derivative of 21*i**5/5 + 12*i**4 - 17*i**3 - 9*i**2 + 21. Determine o, given that l(o) = 0.
-3, -2/7, 0, 1
Let a(n) be the third derivative of -n**6/180 + n**4/36 + 9*n**2. Suppose a(u) = 0. What is u?
-1, 0, 1
Let s = 6 - 2. Suppose 0 = -l + s*m + 22, 2*l + 7*m = 2*m - 8. Suppose 0*r + 7*r**2 + 3*r + 2 - l*r**2 = 0. Calculate r.
-2, -1
Let u(r) = 2*r**2 - 2*r - 2. Let n be u(2). Suppose -4 = -n*h - 0*h. Factor 1/4*g**5 + 0 - 1/4*g**3 - 1/4*g**4 + 1/4*g**h + 0*g.
g**2*(g - 1)**2*(g + 1)/4
Let p(u) be the first derivative of -u**5/150 + u**3/15 - 2*u**2 - 1. Let d(w) be the second derivative of p(w). Factor d(z).
-2*(z - 1)*(z + 1)/5
Determine l, given that -6*l**4 + 13/2*l**3 + 0 - 3*l**2 + 2*l**5 + 1/2*l = 0.
0, 1/2, 1
Suppose 14 + 4 = -2*l. Let z = l + 11. Let -2/3*k**3 + 0*k + 0 + 2/3*k**4 + 2/9*k**z - 2/9*k**5 = 0. What is k?
0, 1
Factor 57*p**4 + 62*p**5 + 43*p**3 - 84*p + 14*p**3 - 50*p**5 + 24 - 66*p**2.
3*(p - 1)*(p + 2)**3*(4*p - 1)
Let h be 148/40 + -4 + 2/4. Factor 0 - 1/5*w**2 + h*w.
-w*(w - 1)/5
Let y(p) be the first derivative of -3*p**4 - 20*p**3/3 + 8*p**2 + 16*p + 8. Solve y(z) = 0 for z.
-2, -2/3, 1
Suppose 10*i - 12*i + 8 = 0. Let w(j) be the first derivative of 1/8*j**2 + 1/6*j**3 - 4 + 1/16*j**i + 0*j. Solve w(p) = 0 for p.
-1, 0
Let p be -3*5*(-1)/3. Suppose 3*c = 2*h - 12, -2*h - 4*c - p = -3. Factor 4/7*f**h + 2/7 - 4/7*f + 0*f**2 - 2/7*f**4.
-2*(f - 1)**3*(f + 1)/7
Suppose -5*x = 35 + 15. Let o be x*-1*3/6. Factor 2/11*p**o + 4/11*p**4 + 0*p**3 + 0*p + 0*p**2 + 0.
2*p**4*(p + 2)/11
Let d be 2/(-7) + (-180)/(-42). Factor -3*b**d - 6*b - b**5 + b**4 - b**3 + 6*b.
-b**3*(b + 1)**2
Let x = 1 - 1. Let o be (2/1)/(-2)*-2. Factor 0 + 2/7*m**o + x*m.
2*m**2/7
Let a be 1 + (4/(-2) - 2). Let j = a - -5. Factor f + f**2 - j*f - 2 + 2*f.
(f - 1)*(f + 2)
Factor 10/3*o**3 - 10/3*o + 5/3*o**2 - 5/3.
5*(o - 1)*(o + 1)*(2*o + 1)/3
Let o(u) be the third derivative of 11*u**5/30 + 3*u**4/4 - 2*u**3/3 - 6*u**2. Determine t so that o(t) = 0.
-1, 2/11
Let j(u) be the second derivative of -13/24*u**4 + 2*u - 5/4*u**3 + 0 - 1/2*u**2. Factor j(z).
-(z + 1)*(13*z + 2)/2
Solve 12/7*y**4 + 0*y + 0 + 4/7*y**5 - 4/7*y**3 - 12/7*y**2 = 0 for y.
-3, -1, 0, 1
Let g(i) be the first derivative of -3*i**4/4 - 2*i**3 + 21*i**2/2 - 12*i - 3. Find r, given that g(r) = 0.
-4, 1
Let a(k) be the second derivative of 0 + 2/9*k**3 + 1/18*k**4 + 2*k + 0*k**2. Factor a(t).
2*t*(t + 2)/3
Let m(d) be the second derivative of -d**4/78 + d**3/39 + 2*d**2/13 + 15*d. Suppose m(t) = 0. Calculate t.
-1, 2
Let o = -57 - -57. Solve -1/2*p**3 + o + 0*p**2 + 0*p = 0.
0
Suppose 4 = 3*b + 5*w, 3*b + 5*w = 2*b - 12. Factor -1 + 3*i**2 + b*i + 9 - 2 + i.
3*(i + 1)*(i + 2)
Let z(w) be the third derivative of -w**5/210 - 2*w**4/21 - 16*w**3/21 + 5*w**2. Factor z(s).
-2*(s + 4)**2/7
Let j(i) be the first derivative of 5*i**4/16 - 5*i**3/4 + 5*i**2/4 - 12. Factor j(u).
5*u*(u - 2)*(u - 1)/4
Let b(x) be the third derivative of 0 + 0*x**6 + 0*x**3 - 1/80*x**5 - 1/48*x**4 + 0*x + 1/840*x**7 - 2*x**2. Factor b(l).
l*(l - 2)*(l + 1)**2/4
Let 14/11*k + 6/11 + 8/11*k**2 = 0. Calculate k.
-1, -3/4
Factor 21*q**4 - 22*q**3 - 3*q + q**2 - 50*q**3 - 34*q**2 + 87*q**4.
3*q*(q - 1)*(6*q + 1)**2
Let r(j) be the first derivative of -j**5/45 - j**4/72 - 5*j**2/2 - 5. Let b(w) be the second derivative of r(w). Factor b(k).
-k*(4*k + 1)/3
Let u be 65/12 - (-10)/(-60). Factor -3*z - 12*z**2 + 0 - u*z**3.
-3*z*(z + 2)*(7*z + 2)/4
Let u(t) be the third derivative of t**7/3780 - t**6/1080 - t**5/90 + t**4/24 + 4*t**2. Let y(k) be the second derivative of u(k). Determine p so that y(p) = 0.
-1, 2
Let b(o) be the second derivative of o**6/18 - o**5/12 - o. Find h, given that b(h) = 0.
0, 1
Suppose 0 = -0*v - v - 3. Let t be 1/(v*2/(-24)). Factor t*l**2 + 3*l - 3*l + 4*l + l**3.
l*(l + 2)**2
Let c be (-84)/(-18) + (-28)/42. Solve -1/5 + 1/5*f**c - 2/5*f + 2/5*f**3 + 0*f**2 = 0 for f.
-1, 1
Let b = 24/5 - 4. Let y be (-44)/(-60) + 1/(-3). Determine c, given that -b*c - 2/5*c**2 - y = 0.
-1
Let i(u) be the first derivative of -u**3/4 + 3*u**2/4 - 3*u/4 - 3. Solve i(q) = 0 for q.
1
Let x = -494/7 + 2554/35. Suppose 8/5*p**3 - 2/5 - x*p**2 + 8/5*p - 2/5*p**4 = 0. Calculate p.
1
Let g(y) be the second derivative of y**6/30 + y**5/25 - y**4/60 - 7*y. Let g(m) = 0. Calculate m.
-1, 0, 1/5
Determine u, given that 1/3*u**2 + 14/3*u + 49/3 = 0.
-7
Let u be (0 - 6)*(-1)/3. Factor -3*a**2 + u*a - 1 + 2*a**2 + 3 - 3.
-(a - 1)**2
Let o(a) = -a**3 + 2*a - 1. Let w be o(-2). Let -u**2 + 4*u - u**w - 7*u**3 + 4*u**3 + u**4 - 4 + 4*u**2 = 0. What is u?
-1, 1, 2
Let q = -679/5325 + 10/71. Let k(h) be the second derivative of -1/15*h**3 + 0 + 1/50*h**5 + q*h**6 + 0*h**2 - 1/30*h**4 - h. Factor k(a).
2*a*(a - 1)*(a + 1)**2/5
Solve 9*h - 4*h - 163 + 173 -