 5*t + 5. Let w(i) = h*p(i) - 6*n(i). Find r, given that w(r) = 0.
-1/4, 0
Let y = 3/14 - -1/28. What is t in -1/4*t**2 + y*t + 0 = 0?
0, 1
Let y be 6*(-2)/(-12)*2. Let x = 0 + y. Factor -x + 2 - g**2 + g**3.
g**2*(g - 1)
Let w(o) = o**3 - 9*o**2 + o - 7. Let n be w(9). Solve -2*u**2 + u + 0*u**n - u**2 + 2*u**2 = 0.
0, 1
Let h(m) be the first derivative of 0*m + 1 + 3/8*m**4 + 3/4*m**2 - m**3. Factor h(t).
3*t*(t - 1)**2/2
Let g(t) be the second derivative of -t**5/5 + 2*t**4/3 - 19*t. Factor g(p).
-4*p**2*(p - 2)
Let l be (2/(-45))/((-3)/21). Let p = 10/9 - l. Determine n so that p*n - 2/5 - 2/5*n**2 = 0.
1
Let w be ((-4)/(-24))/(5/(-10))*0. Factor -2/5*l + w + 2/5*l**2.
2*l*(l - 1)/5
Let 0*s + 1/2*s**2 + 1/3*s**3 - 1/6 = 0. What is s?
-1, 1/2
Let t(k) be the second derivative of -2*k + 1/195*k**6 - 1/78*k**4 + 0*k**2 + 1/39*k**3 + 0 - 1/130*k**5. Determine s, given that t(s) = 0.
-1, 0, 1
Let w(d) be the second derivative of -d**5/50 - d**4/10 + 4*d**2/5 - 4*d. Factor w(t).
-2*(t - 1)*(t + 2)**2/5
Let k(g) be the third derivative of g**7/420 + g**6/90 - g**5/60 - g**4/6 - g**3/3 + 3*g**2. Let n(w) be the first derivative of k(w). Let n(h) = 0. What is h?
-2, -1, 1
Factor 0*w**4 + 0 - 2/7*w**5 + 0*w**2 + 0*w + 2/7*w**3.
-2*w**3*(w - 1)*(w + 1)/7
Let r = 5 - 3. Factor 6*i**2 - 4*i**r - 4*i**2 - 2 + 4*i + 0*i**2.
-2*(i - 1)**2
Find w, given that 2*w**4 + 2*w**4 - 2*w + 0*w**4 + 2*w**5 - 4*w**2 = 0.
-1, 0, 1
Let h(s) be the second derivative of 1/12*s**4 - 1/2*s**2 - 1/40*s**5 - 6*s + 1/12*s**3 + 0. Factor h(y).
-(y - 2)*(y - 1)*(y + 1)/2
Let r be ((-1)/(-5))/((-2)/(-30)). Let w(g) be the second derivative of 1/18*g**4 + 1/20*g**5 + 0*g**2 + 0 - 1/18*g**r - 4*g. Factor w(c).
c*(c + 1)*(3*c - 1)/3
Let p(v) = 3*v**2 + v - 2. Let m be p(1). Let k = -5/3 + m. Factor -k*h**3 + 0 + 1/3*h**2 + 0*h.
-h**2*(h - 1)/3
Let v(m) be the second derivative of 0*m**4 + 0*m**3 - m - m**2 + 1/210*m**5 + 0. Let d(b) be the first derivative of v(b). Find k such that d(k) = 0.
0
Let g(h) = h**2 - 4*h - 4. Let q(o) = -o**3. Let m(j) = -g(j) + q(j). Factor m(l).
-(l - 2)*(l + 1)*(l + 2)
Let q(z) = z**3 + 6*z**2 + 3*z - 7. Let t be q(-5). Find v such that 3*v**2 - 2*v**3 + 4*v**3 - 3*v**3 + 3*v - t*v**4 - 2*v**3 = 0.
-1, 0, 1
Let n(t) = t - 10. Let x be n(10). Let h(d) be the first derivative of -1/2*d**4 + 2*d**2 + x*d + 2/3*d**3 + 2. Factor h(i).
-2*i*(i - 2)*(i + 1)
Let x = 502 - 12547/25. Let w(l) be the second derivative of 0 + 2*l + x*l**5 - 2/15*l**3 + 1/10*l**2 - 1/30*l**4 + 3/50*l**6. Determine j so that w(j) = 0.
-1, 1/3
Let a = -17 + 21. Factor 22*m**2 - 5*m + 3*m - 20*m**2 + a*m.
2*m*(m + 1)
Factor 3/4*d**3 - 1/8*d**4 + 1/2*d - 9/8*d**2 + 0.
-d*(d - 4)*(d - 1)**2/8
Let m = -5 - -8. Determine k, given that -5*k**2 - 1 - m*k**2 + 3 + 6*k**2 = 0.
-1, 1
Let h(l) be the third derivative of l**5/12 + 5*l**4/4 + 3*l**2 - 5. Suppose h(j) = 0. What is j?
-6, 0
Let y = 76 - 28. Factor 162*d**2 - 10 + y*d + 15*d**4 - 18*d**2 + 84*d**3 - 38.
3*(d + 2)**3*(5*d - 2)
Suppose 3*i - i = 0. Suppose -4*m - m + 10 = i. What is g in g**2 - g + g**2 - g**3 + 0*g**m = 0?
0, 1
Let j(p) be the first derivative of 2*p**3/69 + 9. Factor j(t).
2*t**2/23
Let z(j) = j**2 - j - 1. Let l(d) = -2*d**3 + 5*d**2 - 11*d + 13. Let y(x) = 2*l(x) + 10*z(x). Determine q so that y(q) = 0.
1, 2
Let g(v) be the third derivative of v**6/300 + v**5/25 - v**4/4 + 8*v**3/15 - 14*v**2. Factor g(q).
2*(q - 1)**2*(q + 8)/5
Find g such that 1/2*g**3 - 1/2*g**5 + 0*g - g**2 + 0 + g**4 = 0.
-1, 0, 1, 2
Suppose -5/3*h**2 - 7/3*h - 1/3*h**3 - 1 = 0. What is h?
-3, -1
Let u(j) be the first derivative of -j**6/72 - j**5/20 - j**4/16 - j**3/36 + 42. Factor u(i).
-i**2*(i + 1)**3/12
Let h(w) be the third derivative of w**8/80640 - w**5/60 - 2*w**2. Let n(x) be the third derivative of h(x). Factor n(j).
j**2/4
Let p(y) = -6*y + 4. Let t be p(-4). Let o = t - 26. Let 0 - 1/3*i - 1/3*i**3 - 2/3*i**o = 0. What is i?
-1, 0
Suppose -4*t - 12 = -28. Suppose -4*q - t = -3*p, 1 = p - 0*p - q. Let p*d + 1/2*d**2 + 0 = 0. Calculate d.
0
Let d(p) = p**2 + p + 1. Let r(m) = 6*m**2 - 34*m + 34. Let f(a) = 2*d(a) - r(a). Factor f(t).
-4*(t - 8)*(t - 1)
Let z = 2141/20 - 107. Let h(i) be the third derivative of -4*i**2 + 1/20*i**6 + 0*i**3 + 0*i**4 + 0 + 1/70*i**7 + 0*i + z*i**5. Solve h(f) = 0.
-1, 0
Let k = -104537/3876 - -1556/51. Let j = k - 3/76. What is f in -1/4 - 3/2*f - 4*f**3 - j*f**2 - 9/4*f**4 - 1/2*f**5 = 0?
-1, -1/2
Let n = -27 - -35. Let k(g) be the third derivative of 0*g**3 - 1/80*g**6 + 0 + 0*g - 1/210*g**7 - 1/1344*g**n - 1/60*g**5 - 1/96*g**4 + 2*g**2. Factor k(t).
-t*(t + 1)**4/4
Suppose 0*b**3 - 9*b + 11/2*b**2 - 1/2*b**4 + 4 = 0. What is b?
-4, 1, 2
Suppose 3*c + 3*q - 16 = c, c - 22 = -5*q. Suppose 0*m = 4*m - 12. Suppose 2 + u**m - u**c + u**3 - 2*u - u**2 = 0. What is u?
-1, 1
Let x(w) = 2*w - 4. Let a be x(3). Factor -q**a + 4*q**2 - q**2 + q**2.
3*q**2
Let a(d) be the third derivative of 0 - 1/280*d**7 - 1/16*d**5 + 0*d**3 + 1/16*d**4 + 0*d + 2*d**2 + 1/40*d**6. Factor a(l).
-3*l*(l - 2)*(l - 1)**2/4
Let w(u) be the second derivative of u**5/270 - u**3/27 + u**2/2 - u. Let q(v) be the first derivative of w(v). Determine r, given that q(r) = 0.
-1, 1
Solve -48/5*b - 2/5*b**2 - 288/5 = 0.
-12
Let t(v) = -35*v**3 - 70*v**2 + 155*v + 280. Let a(g) = -5*g**3 - 10*g**2 + 22*g + 40. Let r(l) = 15*a(l) - 2*t(l). Factor r(p).
-5*(p - 2)*(p + 2)**2
Let b(j) be the first derivative of 2*j**5/3 + j**4/3 - 10*j**3/9 - 2*j**2/3 - 12. What is d in b(d) = 0?
-1, -2/5, 0, 1
Let a = 38 - 20. Let y be (3/18)/(4/a). What is u in 3*u - 5/2*u**3 - 1 + y*u**4 + 3/4*u**2 = 0?
-1, 1/3, 2
Let h(f) be the first derivative of 4*f**5/5 - f**4 - 8*f**3/3 - 3. Factor h(i).
4*i**2*(i - 2)*(i + 1)
Suppose j = -3*j + 20. Suppose 0 = 2*v - j*l - 8, -l - 1 = 4*v - 17. Determine b so that 5*b + 4*b**3 - 1 - 3*b**4 + 2*b**v + 0*b**3 - 6*b**2 - b = 0.
1
Let i(n) be the third derivative of 0*n + 0 + 1/4*n**6 - 5/8*n**4 + 0*n**5 - 1/7*n**7 + n**3 - 5*n**2 + 3/112*n**8. Determine g so that i(g) = 0.
-2/3, 1
Suppose 0*y = 3*y - 12. Factor -f - f**5 + f**4 + 4*f**2 + 0*f + 3*f**y - 6*f**3.
-f*(f - 1)**4
Suppose q = 0, -4*q - 6 = 2*v - v. Let h = -2 - v. Factor 2*n**2 - n**2 + h*n**3 + 4*n**2 - 6*n**2.
n**2*(4*n - 1)
Let w(s) be the first derivative of 2*s**3/3 - 2*s + 11. Factor w(c).
2*(c - 1)*(c + 1)
Let a(q) = -q**2 + 9*q. Let j be a(9). Let v(k) = -2*k + 2. Let f be v(j). Suppose 2/7 + 2/7*n**f + 4/7*n = 0. Calculate n.
-1
Let s be ((-110)/(-66))/(3/9). Factor 1/2*y**5 + 5/2*y - 5*y**2 - 1/2 + s*y**3 - 5/2*y**4.
(y - 1)**5/2
Let a(f) be the second derivative of f**6/1080 - f**4/72 - f**3/6 + 3*f. Let r(u) be the second derivative of a(u). Factor r(z).
(z - 1)*(z + 1)/3
Let m(i) be the first derivative of 2*i**5/5 + 2*i**4 - 10*i**3/3 + 35. Factor m(q).
2*q**2*(q - 1)*(q + 5)
Let g = 505 - 2513/5. Factor 18/5*i**3 - g*i**2 - 12/5*i**4 + 3/5*i**5 + 0 + 3/5*i.
3*i*(i - 1)**4/5
Let n be (-7 - (-156)/20)/(2/10). Let z(y) be the third derivative of 0*y + 1/60*y**5 - 2*y**2 - 1/6*y**n + 0 + 2/3*y**3. Factor z(m).
(m - 2)**2
Let s = -1/154 - -45/154. Factor 0*t - 2/7 + s*t**2.
2*(t - 1)*(t + 1)/7
Let p be (2 - (-1 + 3))/2. Let q(y) be the third derivative of 0*y + p + 1/27*y**3 - 1/135*y**5 - 1/108*y**4 + 2*y**2. Factor q(j).
-2*(j + 1)*(2*j - 1)/9
Let l(j) be the second derivative of 3*j**5/80 + 11*j**4/48 + 5*j**3/24 - 3*j**2/8 + 5*j. Let l(u) = 0. Calculate u.
-3, -1, 1/3
Let s be 4/10 - (-306)/(-15). Let p be (-11)/s - 5/(-20). Solve 0 + 2*g**5 + 18/5*g**3 - p*g**2 + 0*g - 24/5*g**4 = 0.
0, 2/5, 1
Let n(h) be the first derivative of h**4/24 + h - 3. Let j(g) be the first derivative of n(g). Factor j(z).
z**2/2
Let w be 1/(-2)*(-2)/3. Let x be ((-16)/(-6) + -1)*(-18)/(-15). Let 0 + 1/3*s - w*s**x = 0. What is s?
0, 1
Let y(c) be the second derivative of -c**5/20 + c**4/12 + c**3/3 + 4*c. Let w be y(2). Factor 0*k + 0*k**2 - 2/3*k**4 + w + 2/3*k**3.
-2*k**3*(k - 1)/3
Suppose 6/5*k**2 - 3/5*k**3 + 0*k + 0 = 0. Calculate k.
0, 2
Let x(l) be the first derivative of 1/6*l**4 - 4 + 0*l - 2/15*l**5 + 0*l**2 + 0*l**3. Solve x(a) = 0 for a.
0, 1
Let r(k) be the third derivative of -1/12*k**4 + 1/60*k**6 - 1/210*k**7 + 0*k**5 - 2*k**2 + 1/6*k**3 + 0*k 