 c in y(c) = 0?
4
Let i(m) be the third derivative of 0 - 1/12*m**4 + 6*m**2 + 1/60*m**5 + 0*m + 1/6*m**3. Determine c, given that i(c) = 0.
1
Let o be 68/6 - 2/(-3). Let z be 8/12*o/2. Factor 3*r**2 - 3*r**3 - 4 + z - r + r**4.
r*(r - 1)**3
Suppose 0 = -g + 6*g - 2*c - 4, 2*c = 3*g. Suppose w = g*w. Solve w - 1/4*x**2 - 1/4*x**3 + 0*x = 0 for x.
-1, 0
Let q(m) be the third derivative of -m**5/30 + 2*m**4 - 48*m**3 + 10*m**2. Factor q(j).
-2*(j - 12)**2
Suppose 6 = 11*t - 8*t. Let n(i) be the third derivative of 0 + 0*i**3 + 0*i - 1/15*i**6 - 3*i**t + 1/70*i**7 - 1/12*i**4 + 7/60*i**5. Factor n(m).
m*(m - 1)**2*(3*m - 2)
Let s(n) = -n**3 - 8*n**2 + 3*n + 3. Let o be s(-8). Let r be (-8)/(-28) - 1/o. Find c, given that -2*c**2 - 1/3 - r*c**4 - 4/3*c - 4/3*c**3 = 0.
-1
Let c(r) = -r**3 - 5*r**2 + 13*r - 7. Let v be (-4)/(-16) - (-13)/(-4). Let q(h) = -4*h**3 - 26*h**2 + 64*h - 34. Let x(f) = v*q(f) + 14*c(f). Factor x(s).
-2*(s - 2)*(s - 1)**2
Let p be 2 - (-28 - -1) - 2. Determine b, given that -b + p*b**4 + 3*b + 56*b**3 + 3*b**4 + 2*b + 30*b**2 = 0.
-1, -2/3, -1/5, 0
Let a(w) be the first derivative of w**2 - 6*w + 2. Let h be a(4). Solve j + h*j + 3*j**2 + j**2 - j**2 = 0.
-1, 0
Let k(i) be the first derivative of -3/4*i**2 - 1/6*i**3 - i - 3. Factor k(j).
-(j + 1)*(j + 2)/2
Let l(c) be the first derivative of -c**4/26 - 8*c**3/39 - 5*c**2/13 - 4*c/13 + 4. Suppose l(s) = 0. Calculate s.
-2, -1
Factor 0*g + 0 + 3*g**4 - 3/4*g**3 - 15/4*g**2.
3*g**2*(g + 1)*(4*g - 5)/4
Let q(y) be the second derivative of y**2 + y + 0 + 1/30*y**5 - 1/6*y**4 + 1/3*y**3. Let l(o) be the first derivative of q(o). Factor l(g).
2*(g - 1)**2
Let q(u) = -2*u - 3. Let s be q(-7). Let c = -6 + s. Factor c*r**2 + 3*r**5 - 2*r**2 - 3*r - 4*r**4 - 2*r**4 + 3*r**2.
3*r*(r - 1)**3*(r + 1)
Suppose -t + 2*t - 2 = 0. Factor n**4 + 2*n + t*n**4 - 4*n**3 - 3*n**4 + 2*n**5.
2*n*(n - 1)**2*(n + 1)**2
Suppose -5 + 1 = -g. Suppose -3*t = p, -2*t + 24 = 3*p - g. Let -h**5 - h**2 + p*h**4 + h - 10*h**4 - h**2 = 0. Calculate h.
-1, 0, 1
Let s(o) be the third derivative of o**8/1344 - o**7/840 - 14*o**2. Suppose s(i) = 0. What is i?
0, 1
Factor 12/5*y**2 - 304/5*y**3 - 2/5 + 3*y + 576/5*y**4.
(4*y - 1)**3*(9*y + 2)/5
Let m be 1 - (4 - 2 - (-42)/(-24)). What is p in -1/4*p**2 + p - m = 0?
1, 3
Factor 80/3*w**3 - 32/3*w**4 + 2*w + 46/3*w**2 + 0.
-2*w*(w - 3)*(4*w + 1)**2/3
Let b(g) be the second derivative of g**5/90 + g**4/27 - g**3/27 - 2*g**2/9 - 9*g. Let b(k) = 0. Calculate k.
-2, -1, 1
Solve -102/11*i**2 + 1734/11*i + 2/11*i**3 - 9826/11 = 0 for i.
17
Let o = 13300/11 - 1208. Find v such that 2/11*v**5 + 2/11*v + 8/11*v**2 + 8/11*v**4 + 0 + o*v**3 = 0.
-1, 0
Let z(r) be the second derivative of -r**9/1512 - r**8/420 - r**7/420 + 7*r**3/6 + 5*r. Let x(m) be the second derivative of z(m). Factor x(i).
-2*i**3*(i + 1)**2
Let m(t) = 5*t**5 + 9*t**4 + 11*t**3 - 7*t + 7. Let r(p) = 3*p**5 + 5*p**4 + 6*p**3 - 4*p + 4. Let q(y) = -4*m(y) + 7*r(y). Suppose q(l) = 0. What is l?
-1, 0, 2
Let y be (-35)/(-10)*16/14. Let a be (2/(-10))/((-2)/65). What is g in -12*g**2 - 1 - 2*g**y + 17/2*g**3 + a*g = 0?
1/4, 1, 2
Let y(r) be the second derivative of -r**6/75 + r**4/30 + 5*r. Solve y(f) = 0.
-1, 0, 1
Let b be 2 + 2 + (-68)/18. Factor 0 - 4/9*z - b*z**2.
-2*z*(z + 2)/9
Let z(h) = h**2 + 8*h - 7. Let x be z(-8). Let g = x - -7. Suppose -6/11*o**4 + 0*o**3 + 2/11*o**2 + g*o + 4/11*o**5 + 0 = 0. What is o?
-1/2, 0, 1
Suppose -2*t = -4*y + 12, 5*t = 2*y + 2*y - 6. Let r = y + -2. Factor -2*f + 8*f**2 + 2*f**3 - 8*f**r.
2*f*(f - 1)*(f + 1)
Let s = 13/57 - -253/57. Factor -s*g**2 + g + 2/3.
-(2*g - 1)*(7*g + 2)/3
Let t(y) be the second derivative of -5/24*y**3 + 0 - 1/8*y**5 - 1/168*y**7 + 5/24*y**4 + 1/24*y**6 + 1/8*y**2 - 2*y. Find z such that t(z) = 0.
1
Let t(o) be the second derivative of 0*o**6 - 2*o + 0*o**3 + 0*o**2 - 1/10*o**5 + 0 - 1/9*o**4 + 1/63*o**7. Factor t(a).
2*a**2*(a - 2)*(a + 1)**2/3
Suppose 5*c = -3*j - 6 + 18, -20 = -5*j - 5*c. Let v be ((-3)/(-12))/(j - 3). Suppose -1/4*q**4 + 0*q + 1/4*q**2 + 0 + v*q**5 - 1/4*q**3 = 0. What is q?
-1, 0, 1
Suppose 895 = 4*g - 497. Let d be g/108 + 4/(-18). Factor -1/5*b - 1/5*b**5 + 4/5*b**4 + 0 - 6/5*b**d + 4/5*b**2.
-b*(b - 1)**4/5
Let 5*w**3 + w**4 + 5*w**2 - 5*w**5 - 5*w**4 - w**4 = 0. What is w?
-1, 0, 1
Let m be 16/(-6) - (-6)/9. Let q = m + 4. Find k such that 4*k**3 + k**q + k**2 - 3*k**3 = 0.
-2, 0
Let u be (-5 - -4) + (-13)/(-8). Let o(a) be the first derivative of -1/2*a**3 + 2/5*a**5 + 1 - u*a**4 + 5/4*a**2 - 1/2*a. Let o(c) = 0. Calculate c.
-1, 1/4, 1
Let t = -5 - -13. Suppose i + 6 = t. Determine h, given that 14/9*h**3 + 0 + 2/9*h + 10/9*h**i + 2/3*h**4 = 0.
-1, -1/3, 0
Factor 0*y**2 - 2/15*y**3 + 2/5*y + 4/15.
-2*(y - 2)*(y + 1)**2/15
Let l = 14 + -8. Suppose 2*r - l = -0*r. Factor 0*n + 0 + 1/2*n**2 - 1/2*n**r.
-n**2*(n - 1)/2
Suppose -i + 9 = 2*i. Factor -2*h - 3*h**4 + h**4 + 2*h**3 - i*h**4 + 5*h**2.
-h*(h - 1)*(h + 1)*(5*h - 2)
Let 2/7*s**2 + 3/7*s**3 - 3/7*s**5 + 0*s + 0 - 2/7*s**4 = 0. What is s?
-1, -2/3, 0, 1
Let o(z) = z**2 - 11*z + 12. Let p be o(10). Let n(t) be the second derivative of 1/4*t**p - 1/6*t**3 + 1/24*t**4 - 2*t + 0. Factor n(f).
(f - 1)**2/2
Let c(q) be the second derivative of 5*q**7/294 + q**6/30 - 13*q**5/140 - 11*q**4/84 + 4*q**3/21 + 2*q**2/7 + 3*q. Determine l, given that c(l) = 0.
-2, -1, -2/5, 1
Let v(d) be the third derivative of 1/420*d**6 + 1/735*d**7 + 0*d**4 - 1/1176*d**8 - 2*d**2 + 0 + 0*d**3 + 0*d - 1/210*d**5. Factor v(z).
-2*z**2*(z - 1)**2*(z + 1)/7
Let u(d) be the first derivative of 1/10*d**2 + 0*d - 1/15*d**3 + 1. Factor u(t).
-t*(t - 1)/5
Let g(j) be the first derivative of -5*j**3/3 - 15*j**2 - 25*j + 11. Factor g(h).
-5*(h + 1)*(h + 5)
Let u(g) be the first derivative of -g**5/20 + 5*g**4/16 - 7*g**3/12 + 3*g**2/8 - 2. Let u(q) = 0. Calculate q.
0, 1, 3
Let u be (-3)/(-10) + 2/10. Let k be (0 - -1)/(9/27). Let 1/2*v**k + 0 + 0*v**4 + 0*v**2 - u*v**5 + 0*v = 0. Calculate v.
-1, 0, 1
Let b(m) be the second derivative of 5*m**4/6 - 25*m**3/6 - 15*m**2/2 + 7*m. Determine i, given that b(i) = 0.
-1/2, 3
Let d(w) be the first derivative of w**3 + 3*w**2/2 - 6*w - 3. Determine c, given that d(c) = 0.
-2, 1
Let j = -17/299 - -19/23. Factor -j*h**3 - 14/13*h - 2/13*h**4 - 4/13 - 18/13*h**2.
-2*(h + 1)**3*(h + 2)/13
Let v(h) = -h**2 - 5*h - 1. Let b(c) = c**2 + 4*c + 1. Let x = 5 + -2. Suppose 5*w = 4*w + x*q + 8, 0 = 5*q + 25. Let i(t) = w*b(t) - 6*v(t). Factor i(s).
-(s - 1)**2
Factor -7*r + 0 - 15/2*r**2 - 1/2*r**3.
-r*(r + 1)*(r + 14)/2
Let b = 7 + -12. Let s = -3 - b. Factor -3*z - z**3 + 2 - 3*z**s - 2 - 1.
-(z + 1)**3
Let c(m) be the first derivative of -m**4/6 - 4*m**3/3 - 4*m**2 - m + 3. Let g(h) be the first derivative of c(h). Find p such that g(p) = 0.
-2
Factor -1/4 + 1/4*b**2 + 0*b.
(b - 1)*(b + 1)/4
Let g be (-4)/(-30) + 88/165. Let -4/3*v**3 + 2/3 - 4/3*v**2 + g*v**4 + 2/3*v + 2/3*v**5 = 0. Calculate v.
-1, 1
Let d be (2/(-8))/(2/(-24)). Factor 2 - 36*w**3 - 3*w + 39*w**d - 6*w**2 + 4.
3*(w - 2)*(w - 1)*(w + 1)
Let f(j) = 2*j**2 - 2*j + 1. Let w be f(2). Let g(y) be the third derivative of 0 - 2*y**2 + 1/540*y**6 + 0*y + 0*y**3 + 1/108*y**4 + 1/135*y**w. Factor g(k).
2*k*(k + 1)**2/9
Let l = 2434/5 + -486. Solve 0 - l*c + 2/5*c**2 = 0 for c.
0, 2
Suppose 3*r = 3*q + 5 - 2, q = 5*r - 21. Let c(i) be the second derivative of 0*i**4 + 0*i**2 - 2/3*i**3 + 0 + 5/4*i**r + i. Determine k so that c(k) = 0.
-2/5, 0, 2/5
Let r(m) be the second derivative of -m**7/10 + 23*m**6/40 - 3*m**5/10 + 3*m**2 - m. Let l(j) be the first derivative of r(j). Solve l(b) = 0.
0, 2/7, 3
Let g(c) = -19*c**4 + 40*c**3 - 16*c**2 + 4*c. Let w(p) = 75*p**4 - 159*p**3 + 63*p**2 - 15*p. Let u(z) = 15*g(z) + 4*w(z). Factor u(t).
3*t**2*(t - 2)*(5*t - 2)
Let k(d) be the third derivative of d**7/315 - d**6/60 + d**5/30 - d**4/36 - 6*d**2. Factor k(u).
2*u*(u - 1)**3/3
Let c(d) be the third derivative of -d**8/60480 - d**7/2520 - d**6/240 - 7*d**5/60 - 4*d**2. Let f(r) be the third derivative of c(r). Solve f(g) = 0.
-3
Let x = -47/12 - -17/4. Factor x*t - 3*t**4 - 7/3*t**2 + 5*t**3 + 0.
-t*(t - 1)*(3*t - 1)**2/3
Suppose -15*j**2 - 15*j**5 + 11*j**4 - 2*j**4 + 26*j**4 - 4*j**3 - 11*j**3 + 10*j = 0. Calculate 