8*q**s + 7*q**2 = 0.
0
Find k, given that -9/5*k**2 - 7/5*k + 2/5 = 0.
-1, 2/9
Let z(o) = -o**3 + 2*o**2 + 3*o - 2. Let g(t) = 8*t + t**2 - 3*t - 4*t - 1. Let y(u) = -6*g(u) + 3*z(u). Find v, given that y(v) = 0.
-1, 0, 1
Let y be 1/((-2)/1)*-2. Let h be y/(-4) + 6/24. Suppose 5*x**4 + h + 26/3*x**3 - 28/3*x**5 - 5*x**2 + 2/3*x = 0. What is x?
-1, 0, 1/4, 2/7, 1
Factor -p + 3/2*p**2 - 1/2*p**3 + 0.
-p*(p - 2)*(p - 1)/2
Suppose 0*a - a**2 + 4/3 + 1/3*a**3 = 0. Calculate a.
-1, 2
Let v(r) be the first derivative of 1/5*r**5 - 3 + 0*r + 0*r**2 - r**4 + 4/3*r**3. Factor v(o).
o**2*(o - 2)**2
Suppose -2*o = 4*s + 8, 13 = o - s + 5. Factor 0*y + 0 + 2/7*y**o - 2/7*y**3 + 0*y**2.
2*y**3*(y - 1)/7
Let v(u) be the second derivative of -u**8/2520 + u**7/1260 + u**3/3 + u. Let m(y) be the second derivative of v(y). Let m(a) = 0. Calculate a.
0, 1
Factor 12/5*z - 12/5 + 9/5*z**2.
3*(z + 2)*(3*z - 2)/5
What is k in -k**3 + 5/7*k**5 + 3/7*k**4 + 2/7*k + 0 - 3/7*k**2 = 0?
-1, 0, 2/5, 1
Factor -12*n**4 - 28*n**4 - 100*n**3 + 9*n**5 - 13*n**5.
-4*n**3*(n + 5)**2
Suppose 5*u - 2 = 3, -l = u - 4. Suppose 2*r + 8 = 0, g + 3*r - 6 = 4*r. Solve -4*y**2 - l*y**5 + 3*y**2 + y**g - 6*y**4 - 3*y**3 = 0.
-1, 0
Let p(m) be the third derivative of -1/6*m**3 - 1/60*m**5 + 3*m**2 + 0 + 0*m - 1/12*m**4. Let p(t) = 0. Calculate t.
-1
Let q(w) be the first derivative of 9/16*w**4 + 1/4*w**3 + 0*w + 1 + 9/20*w**5 + 0*w**2 + 1/8*w**6. Determine p so that q(p) = 0.
-1, 0
Let z(p) be the second derivative of p**7/42 - p**6/30 + 9*p. Factor z(g).
g**4*(g - 1)
Suppose 0*q - 2*q = 5*j - 26, 0 = 2*j - 8. Factor -4*l**2 - 2*l + l**2 + 0*l - 2 + 2*l**q + 5*l**2.
2*(l - 1)*(l + 1)**2
Let s(j) = j**2 - 16*j - 5. Let y(b) = -3*b**2 + 33*b + 9. Let v(t) = 9*s(t) + 4*y(t). Factor v(f).
-3*(f + 1)*(f + 3)
Let i(v) be the first derivative of -v**7/4200 + v**6/300 - v**5/50 + v**4/15 + 7*v**3/3 + 5. Let u(o) be the third derivative of i(o). Factor u(w).
-(w - 2)**3/5
Let q(d) be the first derivative of 2 + 2/21*d**3 - 1/7*d**2 - 2/7*d + 1/14*d**4. Find i, given that q(i) = 0.
-1, 1
Factor 2/5*f**2 + 2/5 + 4/5*f.
2*(f + 1)**2/5
Let w be 20/10 + -6 + 6. Factor 0*z - 1/3*z**3 + 0 - 1/3*z**w.
-z**2*(z + 1)/3
Factor -6/7*z + 4/7 + 0*z**2 + 2/7*z**3.
2*(z - 1)**2*(z + 2)/7
Let t = -65 + 69. Let c(h) be the third derivative of 3*h**2 + 1/30*h**5 + 0 + 0*h**t - 1/3*h**3 + 0*h. Factor c(l).
2*(l - 1)*(l + 1)
Let h = 1765/1071 + -11/119. Factor -4/9*q**2 + 4/9 - h*q**3 + 14/9*q.
-2*(q - 1)*(q + 1)*(7*q + 2)/9
Let x(h) be the third derivative of -h**8/1176 - 2*h**7/245 - 13*h**6/420 - 2*h**5/35 - h**4/21 + 17*h**2. Solve x(k) = 0.
-2, -1, 0
Suppose -3*k + 8*k = 3*b + 15, -4*b - 12 = -4*k. Suppose b = -2*h + 6 + 10. Determine d, given that d**4 - 2*d**3 + h*d**4 - 4*d**4 = 0.
0, 2/5
Let w(q) = -q**4 + 35*q**3 - 79*q**2 + 41*q + 4. Let c(x) = -10*x**4 + 315*x**3 - 710*x**2 + 370*x + 35. Let z(f) = 4*c(f) - 35*w(f). Factor z(d).
-5*d*(d - 3)**2*(d - 1)
Let p(a) = 3*a**3 + 2*a**2 - 3*a + 3. Let z(n) = 5*n**3 + 3*n**2 - 5*n + 5. Let b(i) = 8*p(i) - 5*z(i). Factor b(l).
-(l - 1)**2*(l + 1)
Let o(n) be the third derivative of -n**5/30 + n**3/3 - 26*n**2 + 2*n. Factor o(j).
-2*(j - 1)*(j + 1)
Let x be ((-2)/(-3))/(12/90). Solve j**5 - 3*j**2 + 0*j**4 - 3*j**4 - 6*j**4 - 4*j**x - 9*j**3 = 0 for j.
-1, 0
Let d(l) be the first derivative of -l**6/21 + 6*l**5/35 - 17. Suppose d(j) = 0. Calculate j.
0, 3
Let w(i) = -2*i**2 + 3*i + 4. Let p be w(3). Let c be 1*-2 - p/1. Let 2*s**5 + 0*s**c - 4*s**3 + 2*s**3 = 0. What is s?
-1, 0, 1
Let u(d) be the second derivative of 3*d**4/8 - 4*d**3/3 - d**2 - 4*d. Factor u(g).
(g - 2)*(9*g + 2)/2
Let x be 2/4 + 14/4. Factor -13 + 13 - x*z + 10*z - 3*z**2.
-3*z*(z - 2)
Factor 2/15*b**4 + 0 + 2/15*b**3 + 0*b - 2/15*b**2 - 2/15*b**5.
-2*b**2*(b - 1)**2*(b + 1)/15
Let j = -194 - -194. Let j - 2/9*a - 2/9*a**3 - 4/9*a**2 = 0. What is a?
-1, 0
Let w be (-4)/(-6) + (-357)/630. Let h(m) be the second derivative of -w*m**5 + 0*m**3 + m + 0 + 1/15*m**6 + 1/21*m**7 + 0*m**2 - 1/6*m**4. Factor h(b).
2*b**2*(b - 1)*(b + 1)**2
Let x(a) be the second derivative of a**5/110 - a**3/11 + 2*a**2/11 - 2*a. Determine j so that x(j) = 0.
-2, 1
Let c(s) be the third derivative of s**7/280 + s**6/24 + s**5/5 + s**4/2 + 2*s**3/3 - 3*s**2. Let y(a) be the first derivative of c(a). Factor y(b).
3*(b + 1)*(b + 2)**2
Let c = -41/6 + 7. Let r(i) be the second derivative of 9/10*i**5 + 0*i**2 + 2*i - 2/3*i**3 + c*i**4 - 13/15*i**6 + 5/21*i**7 + 0. Factor r(b).
2*b*(b - 1)**3*(5*b + 2)
Factor 0 + 0*b**2 + 1/9*b - 1/9*b**3.
-b*(b - 1)*(b + 1)/9
Let s be (-1)/(-5) - (-45)/25. Suppose 0 = 3*u - 6*u + 2*i + 9, -i + 6 = s*u. Factor 2/7*c + 4/7*c**2 + 0 + 2/7*c**u.
2*c*(c + 1)**2/7
Let q(l) be the third derivative of -l**5/60 + 7*l**4/24 - l**3/2 - 3*l**2. Let r be q(6). Factor r*z - 12*z**3 + 3*z**4 + 2*z + 9*z**2 - 2*z - 12 + 9*z.
3*(z - 2)**2*(z - 1)*(z + 1)
Let m(s) = -5*s**2 - 95*s. Let r be m(-19). Determine u, given that -1/6*u**5 + 5/6*u**4 - u**3 + 4/3*u + r - 2/3*u**2 = 0.
-1, 0, 2
Let h be 2*(-1 + 10/9). Let y(n) be the first derivative of -1/6*n**2 - 1/12*n**4 + h*n**3 + 1 + 0*n. What is p in y(p) = 0?
0, 1
Let h(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/96*o**4 + o**2 - 1/240*o**5. Solve h(a) = 0 for a.
-1, 0
Let f(z) be the first derivative of -4*z**5/5 + 8*z**3/3 - 4*z - 2. Factor f(i).
-4*(i - 1)**2*(i + 1)**2
Let b be (-9)/15*(-2)/15. Let f(i) be the first derivative of 0*i**2 + 2 - 1/5*i**4 - 2/15*i**3 + 0*i - b*i**5. Let f(l) = 0. Calculate l.
-1, 0
Factor 0 - 3/4*x - 9/2*x**3 - 3*x**4 - 3*x**2 - 3/4*x**5.
-3*x*(x + 1)**4/4
Suppose 13*i = 2*i. Let x = 112/3 - 778/21. Factor i - 2/7*g**4 + 6/7*g**3 + x*g - 6/7*g**2.
-2*g*(g - 1)**3/7
Suppose -24 = y + 4*o, -2*y = y - 2*o + 58. Let m be y*(-4 - 20/(-6)). Factor -16/9 - 100/3*q**2 - m*q - 250/9*q**3.
-2*(5*q + 2)**3/9
Find d such that -60 + 140*d - 15*d**3 + 9*d + 25*d**2 - 69*d = 0.
-2, 2/3, 3
Let g(a) = a**3 - 2*a**2 + 3*a - 2. Let h(n) = -n**3 + 2*n**2 - 4*n + 3. Let u(k) = 3*g(k) + 2*h(k). Factor u(i).
i*(i - 1)**2
Let w(g) be the third derivative of -g**6/1260 + g**5/420 + g**4/42 + g**3/3 + 6*g**2. Let q(i) be the first derivative of w(i). Factor q(b).
-2*(b - 2)*(b + 1)/7
Suppose -o = -3 - 1. Factor -4*s**o + s**4 + 4*s**2 + 2*s**2 - 3.
-3*(s - 1)**2*(s + 1)**2
Let w(p) be the second derivative of p**7/840 + p**6/360 - p**5/60 - 2*p**3/3 + p. Let y(m) be the second derivative of w(m). Let y(n) = 0. Calculate n.
-2, 0, 1
Let g be (-96)/((1 + (-100)/(-8))/(-6)). Suppose -2/3*y - 24*y**3 + 32/3*y**4 + 22/3*y**2 + g*y**5 + 0 = 0. Calculate y.
-1, 0, 1/4
Let y(r) be the third derivative of -r**9/32760 - r**8/8736 - r**7/8190 - r**4/4 - 2*r**2. Let d(p) be the second derivative of y(p). Factor d(a).
-2*a**2*(a + 1)*(3*a + 2)/13
Let m = 41 + -19. Factor 2 + 6 - m*t**4 - 8*t - 6*t**2 + 4*t**3 + 24*t**4.
2*(t - 1)**2*(t + 2)**2
Let z = 3 + -9. Let v = -1 - z. Factor 4*p - p + p**v - 2*p - 2*p**3.
p*(p - 1)**2*(p + 1)**2
Suppose 32*i + 28 = 46*i. Find j, given that -1/3*j**i + 1/3*j + 0 = 0.
0, 1
Let r(o) be the third derivative of o**7/210 + o**6/40 - o**5/12 - o**4/8 + 2*o**3/3 - 6*o**2. Factor r(q).
(q - 1)**2*(q + 1)*(q + 4)
Let i(k) be the second derivative of -k**7/210 - k**6/40 - k**5/60 + k**4/8 + k**3/3 - 5*k**2/2 - 3*k. Let d(u) be the first derivative of i(u). Factor d(w).
-(w - 1)*(w + 1)**2*(w + 2)
Suppose 6 = d - 2*m, 4*d = 2*m + 5 + 1. Let v(z) be the second derivative of z**2 - 1/10*z**5 + d - z**3 + 1/2*z**4 - 2*z. Solve v(x) = 0.
1
Let n(t) be the second derivative of t**6/6 + t**5/2 - 5*t**4/12 - 5*t**3/3 - 10*t. Find o, given that n(o) = 0.
-2, -1, 0, 1
Let i be -3*(-6)/(-16)*28/(-14). Let -15/4*b**3 + 3/4*b + 3/4*b**2 + i*b**4 + 0 = 0. Calculate b.
-1/3, 0, 1
Let y(u) be the third derivative of -1/60*u**6 - 9/4*u**4 + u**2 - 3/10*u**5 + 0 - 9*u**3 + 0*u. Factor y(h).
-2*(h + 3)**3
Suppose 0 = -9*p + 8*p + 4. Find k, given that 4/3*k**p - 4/3*k**2 + 0*k + 0 + 2/3*k**3 - 2/3*k**5 = 0.
-1, 0, 1, 2
Let u(i) be the first derivative of i**3/9 + 2*i**2/3 + i - 8. Factor u(v).
(v + 1)*(v + 3)/3
Factor 4*h**4 - h**3 - 4*h**2 + 4*h**3 - 4*h**5 + h**3.
-4*h**2*(h - 1)**2*(h + 1)
Let 72/17 + 2/17*w**2 - 24/17*w = 0. What is w?
6
Let 