f -5*k**3/3 - 15*k**2/2 - 10*k + 11. Determine x, given that f(x) = 0.
-2, -1
Let p(r) = 2*r**3 + r**2 - 2*r + 1. Let c be p(1). Factor -m**c - 3*m + 9*m + 4*m**2.
3*m*(m + 2)
Let z(n) be the first derivative of n**7/84 - n**5/40 - n + 3. Let h(d) be the first derivative of z(d). Let h(j) = 0. Calculate j.
-1, 0, 1
Determine i so that -2/7*i**3 + 72/7 + 26/7*i**2 - 96/7*i = 0.
1, 6
Let y(t) be the second derivative of -2/5*t**5 - 1/3*t**4 + 0 + t + 1/7*t**7 + 2/15*t**6 + 1/3*t**3 + 0*t**2. Suppose y(c) = 0. Calculate c.
-1, 0, 1/3, 1
Let i = -73/13 + 1307/117. Determine m so that -2/9*m**2 + 88/9*m - 160/9*m**3 + 8/3 + i*m**4 = 0.
-2/5, 1, 3
Let s be (14/(-6) - -4) + 3/9. Find a such that 1/2*a**s + 1/2*a - 1 = 0.
-2, 1
Let g = -9446/14181 - -43/163. Let x = -2/29 - g. Factor -x - 2/3*w - 1/3*w**2.
-(w + 1)**2/3
Let g(f) = 3*f**2 + 9*f + 2. Let i(l) = 39*l**2 + 117*l + 27. Let m(t) = 27*g(t) - 2*i(t). Factor m(s).
3*s*(s + 3)
Let z(h) = -14*h - 94. Let c be z(-7). Find u such that 0*u - 15/2*u**5 + 0*u**2 - u**3 + 0 - 11/2*u**c = 0.
-2/5, -1/3, 0
Let g(m) be the first derivative of 5*m**3/3 + 5*m**2/2 - 12. Solve g(r) = 0.
-1, 0
Determine v so that -2/9*v**2 - 2/9*v**3 - 2/3 + 10/9*v = 0.
-3, 1
Let x = 368 - 733/2. What is c in -9/4*c**4 + 1/2*c**5 - 7/2*c**2 + x*c - 1/4 + 4*c**3 = 0?
1/2, 1
Let q(m) = m**3 - m**2 - m + 1. Let a(j) = -4*j - 7 + 10*j**2 + 2 + 9*j - 3*j**2 - 8*j**3. Let p(t) = -a(t) - 5*q(t). Factor p(r).
r**2*(3*r - 2)
Let r(n) be the second derivative of -n**7/126 + n**6/30 - n**5/20 + n**4/36 - 14*n. Factor r(o).
-o**2*(o - 1)**3/3
Let a be 30/24*13/10. Let y(b) be the first derivative of -7/4*b**3 + 23/20*b**5 + 1 + 1/2*b**6 + 1/16*b**4 - 1/2*b - a*b**2. Determine x, given that y(x) = 0.
-1, -2/3, -1/4, 1
Let d = -4 - -4. What is l in d*l + 2/7*l**2 - 2/7 = 0?
-1, 1
Factor -2*b**5 + 5*b**5 - 2*b**5 - 2*b**5.
-b**5
Let t(w) = w**3 + 7*w**2 - 2*w - 8. Let r be t(-7). Suppose 7*h - r = 4*h. Factor h*f**2 + f - 4*f**2 - 5*f.
-2*f*(f + 2)
Let q(s) = -s**3 - 4*s**2 - 5*s - 4. Let l be (-39)/12 + 1/4. Let k be q(l). Factor -5*x**4 + 2*x**k + 4*x**4 + 2*x**2 + 2*x**3 - 5*x**2.
-x**2*(x - 1)**2
Let x(z) be the second derivative of -z**4/24 - z**3/2 - 9*z**2/4 - z. Suppose x(r) = 0. What is r?
-3
Let z = -13 - -16. Let b(t) be the first derivative of 1/6*t**2 + 1/12*t**4 + 0*t + 3 - 2/9*t**z. Factor b(a).
a*(a - 1)**2/3
Factor -16/15*d**2 - 8/5*d**3 - 2/15*d**5 + 0 - 4/5*d**4 + 0*d.
-2*d**2*(d + 2)**3/15
Let g = -4 + 19. Let j = -11 + g. Determine v, given that -v**4 - v**j + v**4 = 0.
0
Find m such that 0 + 2*m + 2/3*m**2 = 0.
-3, 0
Let s(o) be the second derivative of o**6/90 - o**5/20 - o**4/36 + o**3/6 - 21*o. Suppose s(y) = 0. What is y?
-1, 0, 1, 3
Let z = 1477/36 - 41. Let l(x) be the second derivative of 0 - 2*x - z*x**4 - 1/60*x**5 + 0*x**3 + 0*x**2. Solve l(f) = 0 for f.
-1, 0
Factor -3/4*l + 1/4*l**2 + 1/2.
(l - 2)*(l - 1)/4
Let j = -349 + 2458/7. Find s, given that j*s**2 + 3/7*s**4 - 6/7*s - 12/7*s**3 + 0 = 0.
0, 1, 2
Let r be (2 - 0) + 11 + -11. Factor -3 + 11*i - 3*i + i**3 - 4 - 5*i**r + 3.
(i - 2)**2*(i - 1)
Let t(q) = q**3 + 3*q**2 - q + 2. Let u be t(-3). Suppose 2 = -u*k + 12. Let 2*c**3 - k*c - 4*c + 2*c**2 + 2*c = 0. Calculate c.
-2, 0, 1
Let o(m) be the first derivative of -m**4/12 + m**3/6 + 2*m - 1. Let n(b) be the first derivative of o(b). Solve n(r) = 0.
0, 1
Let a = -7 + -42. Let f be (-56)/a - 0/2. Suppose -10/7*r**2 + 2/7*r**3 + 16/7*r - f = 0. Calculate r.
1, 2
Let a be (1 - 2)*(10 + -13). Factor -4*n**a - 2*n**2 + 3*n**2 + 5*n**3 + 2*n**2.
n**2*(n + 3)
Let r(w) be the first derivative of w**8/560 + w**7/280 - 2*w**3/3 + 1. Let t(f) be the third derivative of r(f). Determine m so that t(m) = 0.
-1, 0
Let j(k) be the second derivative of k**7/560 + 7*k**6/1440 - k**5/120 + k**4/12 + 3*k. Let a(m) be the third derivative of j(m). Suppose a(x) = 0. What is x?
-1, 2/9
Let j = 37 - 257/7. Find q such that 0*q + j*q**2 + 0 + 4/7*q**3 + 2/7*q**4 = 0.
-1, 0
Let n(k) = k**3 - 7*k**2 - 7*k + 1. Let b(d) = -d**3 + 3*d**2 + 3*d - 1. Let x(y) = 5*b(y) + 3*n(y). Solve x(z) = 0.
-1
Suppose 0 = -9*l + 2*l + 28. Suppose 0*n - 16/9*n**3 + 2*n**5 + 0 + 8/9*n**2 - 2/3*n**l = 0. Calculate n.
-1, 0, 2/3
Let z = -83/5 - -17. Let -z + 1/5*r**3 - r + 1/5*r**4 - 3/5*r**2 = 0. Calculate r.
-1, 2
Suppose v**2 - 3 + 5*v**2 - 10*v**3 - 3 + 15*v - 5*v**3 = 0. What is v?
-1, 2/5, 1
Let d(n) = n**4 - 3*n**3 + 3*n**2. Let y(m) = 2*m**4 - 5*m**3 + 5*m**2. Let h(l) = -5*d(l) + 3*y(l). Factor h(b).
b**4
Let h = -34 - -69/2. Let r = 1/8 + 3/8. Factor 1/2*g - 1/2*g**3 + 0 - h*g**4 + r*g**2.
-g*(g - 1)*(g + 1)**2/2
Factor -3/4*v**2 + 0 - 3/4*v**5 + 3/4*v**4 + 3/4*v**3 + 0*v.
-3*v**2*(v - 1)**2*(v + 1)/4
Suppose 7 = 5*t - 3*o - 2, 0 = 3*t + 2*o - 13. Suppose 3*y + 4 = 13. Determine r, given that -r**2 + 0*r**y + 3*r**3 + 3*r**2 - 4*r + t*r**3 = 0.
-1, 0, 2/3
Suppose -5*p = -a - 11, 5*a - 3*p + 8*p = 35. Suppose -4*f + 12 = a. Factor b**2 - b + 5 - 2*b**f - 3 + 0*b.
-(b - 1)*(b + 2)
Let j(s) be the first derivative of -s**5/4 - 5*s**4/8 + 5*s**3 - 35*s**2/4 + 25*s/4 - 18. Factor j(p).
-5*(p - 1)**3*(p + 5)/4
Find w such that 1/3*w**3 + 0*w + 0 - 1/3*w**5 + 2/3*w**2 - 2/3*w**4 = 0.
-2, -1, 0, 1
Let y be ((-40)/30)/(16/(-3) + 2). Factor 4/5*w + y + 2/5*w**2.
2*(w + 1)**2/5
Let x(t) = -6*t**4 + 3*t**3 - 8*t**2 - 4*t. Let y(j) = j**4 + j**2 + j. Let s(p) = -x(p) - 5*y(p). Factor s(w).
w*(w - 1)**3
Solve -1/4*k**2 - 3/4*k + 1 = 0.
-4, 1
Suppose -4*o + 9 = 1. Let r(g) be the second derivative of 0*g**3 + 0*g**2 + o*g + 1/18*g**4 + 0. Factor r(a).
2*a**2/3
Suppose -2 = 2*g - 5*w, 2*w + w - 2 = 2*g. Let u(s) = s**4 + 2*s**3 + s**2 - 5. Let t(i) = -1. Let o(c) = g*u(c) + 5*t(c). What is v in o(v) = 0?
-1, 0
Let x(j) be the third derivative of 5*j**6/32 + 11*j**5/4 + 41*j**4/8 + 4*j**3 + 9*j**2. Factor x(h).
3*(h + 8)*(5*h + 2)**2/4
Let p(y) = -y**2 + y. Let f = 14 + -13. Let d(z) = -3*z**2 + 11*z - 8. Let n(k) = f*p(k) + d(k). Factor n(h).
-4*(h - 2)*(h - 1)
Suppose 0*q + 12 = 2*q. Let m(u) = u**3 - 7*u**2 + 7*u - 4. Let v be m(q). Factor 3*s**3 + 0*s**4 + s**5 + 3*s**2 + 3*s**4 + s**2 - 3*s**v.
s**2*(s + 1)**3
Let s(l) be the third derivative of 7*l**6/30 - 23*l**5/15 + 10*l**4/3 - 8*l**3/3 + 10*l**2. Suppose s(b) = 0. Calculate b.
2/7, 1, 2
Let q(i) be the third derivative of 0 - 7*i**2 - 5/24*i**4 + 1/120*i**6 + 1/60*i**5 + 0*i + 1/2*i**3. Determine j so that q(j) = 0.
-3, 1
Let q(n) be the first derivative of n**6/6 - n**5/2 + 5*n**3/6 - n**2/2 + 11. Suppose q(d) = 0. What is d?
-1, 0, 1/2, 1, 2
Let a(y) be the third derivative of y**5/12 + 9*y**2. Factor a(w).
5*w**2
Factor -3/5*q**2 + 0 + 9/5*q.
-3*q*(q - 3)/5
Let a(c) = 2*c**4 - 2*c**3 - 2*c**2 + 2*c + 12. Let k(s) = s**3 - s**2 - s - 1. Let m(y) = a(y) + 6*k(y). Factor m(j).
2*(j - 1)**2*(j + 1)*(j + 3)
Let y = -1 - -15. Suppose 4*b + 2*i - y = -0*b, 7 = 3*b - 2*i. Factor -b*d + 8*d - d + 2*d**2 + 2.
2*(d + 1)**2
Let a = 82 - 82. Solve a*k**2 + 0*k + 0 - 2*k**4 - 4/3*k**3 - 2/3*k**5 = 0.
-2, -1, 0
Let 7*v**3 - v**3 + 11*v**4 + 4*v**4 + 6*v**5 = 0. What is v?
-2, -1/2, 0
Let v = 9 - 7. Let z(t) be the first derivative of v + 0*t**2 + 2/9*t**3 + 0*t. Solve z(m) = 0 for m.
0
Let x(z) be the first derivative of -z**4/4 - z**3 + 2*z**2 + 34. Determine s, given that x(s) = 0.
-4, 0, 1
Let s(r) = r**2 - 4*r + 1. Let b be s(4). Let u be (b + (0 - -3))/10. Factor u*k**2 + 4/5*k + 2/5.
2*(k + 1)**2/5
Let w(x) be the first derivative of x**6/2520 + x**5/840 - x**4/84 - 2*x**3/3 + 4. Let c(u) be the third derivative of w(u). Solve c(y) = 0 for y.
-2, 1
Let g(s) be the second derivative of -1/120*s**6 + 1/80*s**5 + 0*s**3 + 0*s**4 + 0 - s + 0*s**2. Factor g(h).
-h**3*(h - 1)/4
Let c(m) = m**2 + m + 3. Let y be c(-4). Let b = y - 12. Let -f**2 - 3/2*f**b - f**4 - 1/4*f**5 + 0 - 1/4*f = 0. Calculate f.
-1, 0
Let b be (1 - 6)/(7/42). Let x be (21/b - -1)*8. Factor 2/5*c**4 + x*c**2 + 2/5 + 8/5*c + 8/5*c**3.
2*(c + 1)**4/5
Let n(y) be the first derivative of -y**4/6 + 2*y**3/9 + 22. Let n(d) = 0. Calculate d.
0, 1
Suppose 5*n = 13 - 33. Let b(f) = f**3 + f**2. Let d(k) = -3*k**3 + 6*k**2. Let a(j) = n*b(j) + d(j). Suppose a(i) = 0. Calculate i.
0, 2/7
Let c(v) be the second derivative of -2*v**5/15 + v**4/6 