et y(f) = 4*c(f) + 9*u(f). Find v such that y(v) = 0.
-1, 0, 2
Let h(j) be the second derivative of j**5/20 + j**4/12 - 5*j. Find x, given that h(x) = 0.
-1, 0
Factor 2/13*v**2 + 0 - 2/13*v.
2*v*(v - 1)/13
Determine h, given that 0 + 15*h**4 - 100/3*h**2 - 20/3*h - 35/3*h**3 = 0.
-1, -2/9, 0, 2
Let h(v) = v**5 - 24*v**4 + v**3 + 54*v**2 - 20*v - 36. Let x(l) = l**5 + l**4 + l**3 - l**2 - 1. Let g(d) = -h(d) - 4*x(d). Factor g(q).
-5*(q - 2)**3*(q + 1)**2
Let t(l) = 4*l + 10. Let j be t(-2). Factor 2/3*b**3 + 2*b**j + 0 + 4/3*b.
2*b*(b + 1)*(b + 2)/3
Factor -10*f**3 + 8*f**3 + 3*f**3.
f**3
Let w(b) = b**2 - 4*b - 4. Let i be w(6). Find y, given that 3*y**4 + 5*y**5 - y**3 - 5*y**5 + 6*y + 3*y**5 - 3*y**2 - i*y**3 = 0.
-2, -1, 0, 1
Let d = -2 - -1. Let c(g) = -g**3 + 7*g**2 + 4*g - 4. Let w(b) = -b**2 + 2*b**2 + b - 2*b**2 + 2*b**2. Let n(a) = d*c(a) + 4*w(a). Factor n(m).
(m - 2)**2*(m + 1)
Let r = -37/2 + 113/6. Let n(a) be the first derivative of -r*a**3 + 1 - 2*a + 3/2*a**2. Factor n(x).
-(x - 2)*(x - 1)
Let b(p) = -22*p**2 + 23*p - 7. Suppose j + 14 = 3*v - 4, 4*v - 5*j = 24. Let n(k) = 45*k**2 - 45*k + 13. Let x(o) = v*n(o) + 10*b(o). Factor x(c).
2*(5*c - 2)**2
Let q = -6 + 8. Factor -y + y**q + 0 - 4 + 2.
(y - 2)*(y + 1)
Let p be -3 + 4/(4/(-21)). Let y be p/30*(-5)/2. Factor -2/5*c + 1/5*c**y + 1/5.
(c - 1)**2/5
Let c be (-6)/4*40/3. Let v be ((-16)/c)/((-6)/(-15)). Suppose -2/13*p**v + 4/13*p - 2/13 = 0. Calculate p.
1
Let d(j) be the second derivative of j**7/147 - j**6/35 - j**5/70 + j**4/14 - 49*j. Solve d(x) = 0.
-1, 0, 1, 3
Let h be 5 + -3 + (-35)/25. Factor -h*g**4 + 3/5 + 0*g**2 + 6/5*g - 6/5*g**3.
-3*(g - 1)*(g + 1)**3/5
Factor -2/5*f**3 + 9/5*f**4 + 0*f**2 + 0*f - 7/5*f**5 + 0.
-f**3*(f - 1)*(7*f - 2)/5
Suppose -5*j + 3*j - j + 4 + j - 2*j**2 = 0. Calculate j.
-2, 1
Let k be 5/40 - (-52)/96. Factor 0*f - 1/3 + 0*f**3 - 1/3*f**4 + k*f**2.
-(f - 1)**2*(f + 1)**2/3
Let c(m) = -3*m**3 + 8*m**2 - 7*m - 22. Let l(p) = 3*p**3 - 9*p**2 + 6*p + 21. Let t(x) = 3*c(x) + 4*l(x). Find j such that t(j) = 0.
-1, 2, 3
Let z(c) be the first derivative of -c**6/540 + c**5/180 - c**3 - 7. Let w(v) be the third derivative of z(v). Factor w(p).
-2*p*(p - 1)/3
Let p(x) be the first derivative of -4*x**3 + 3 + 3*x**3 + 0*x + 6*x**2 - 9*x. Let p(q) = 0. Calculate q.
1, 3
Let w(k) = -k**2 + k. Let y(i) = -8*i**2 + 5*i. Let c(u) = -5*w(u) + y(u). Factor c(j).
-3*j**2
Let c = 45/2 + -133/6. Suppose 0 + q**2 - c*q**3 - 2/3*q = 0. Calculate q.
0, 1, 2
Let w(x) be the first derivative of 4*x**3/9 + 4*x**2 + 32*x/3 + 7. Factor w(r).
4*(r + 2)*(r + 4)/3
Let u be 3/(3 - 2) + (1 - 4). What is l in 2/7*l**3 + u + 0*l**2 + 0*l + 2/7*l**4 = 0?
-1, 0
Let o(p) = -25*p**3 + 4*p**2 + 6*p + 6. Let b(g) = -50*g**3 + 9*g**2 + 11*g + 11. Let c(l) = 6*b(l) - 11*o(l). Solve c(m) = 0.
0, 2/5
Let w(d) be the first derivative of 10*d**6/3 - 8*d**5/5 - 15*d**4/4 + d**3/3 + d**2 + 41. Find o, given that w(o) = 0.
-1/2, 0, 2/5, 1
Let g(d) be the third derivative of d**5/30 + d**4/8 + d**3/6 - 14*d**2. Suppose g(y) = 0. What is y?
-1, -1/2
Suppose 0 = 23*d - 14*d. Let u(a) be the third derivative of 0*a**3 + 0*a**4 - a**2 - 1/420*a**6 + 0*a + 0 + d*a**5. What is f in u(f) = 0?
0
Let m(r) = r**2 - 6*r + 10. Let y be m(6). Factor k**3 - 4 - 2*k**2 - 6*k**2 - 3*k**3 - y*k.
-2*(k + 1)**2*(k + 2)
Let t(x) be the first derivative of -x**2 - 4*x**4 + 0*x + 2 + 4*x**3 - 12/5*x**5 + 3*x**6. Suppose t(r) = 0. Calculate r.
-1, 0, 1/3, 1
Let r be ((-6)/4)/(126/(-336)). Let l(t) be the second derivative of 0 - t**2 - 1/10*t**5 + 5/6*t**3 - 1/12*t**r - 4*t. Factor l(j).
-(j - 1)*(j + 2)*(2*j - 1)
Let v(x) be the first derivative of -3 + 2*x + 0*x**2 + 1/6*x**4 + 0*x**3. Let m(z) be the first derivative of v(z). Factor m(n).
2*n**2
Let r(o) be the second derivative of -o**6/20 - 3*o**5/40 + o**4/8 + o**3/4 - o. Find a such that r(a) = 0.
-1, 0, 1
Factor 43*v**2 - 19*v**2 - 120*v**3 + 2 + 50*v**2 + 72*v**4 - 20*v.
2*(2*v - 1)**2*(3*v - 1)**2
Let p(u) be the third derivative of -u**8/5040 + u**6/1080 + u**3/3 - u**2. Let g(f) be the first derivative of p(f). Factor g(c).
-c**2*(c - 1)*(c + 1)/3
Let t(f) be the third derivative of -f**6/60 - f**5/10 - f**4/4 - f**3/3 - 17*f**2. Solve t(o) = 0 for o.
-1
Let j(a) be the third derivative of a**8/70560 + a**7/8820 - a**6/840 + a**5/20 + a**2. Let d(n) be the third derivative of j(n). Find s such that d(s) = 0.
-3, 1
Let b(s) be the third derivative of -s**6/140 - s**5/140 - 11*s**2. Factor b(l).
-3*l**2*(2*l + 1)/7
Let j be 2*(-3)/(-2) - (2 - -1). Factor 2/3*h**2 - 2/3*h**3 + 0 + j*h.
-2*h**2*(h - 1)/3
Let j(h) be the second derivative of h**10/10080 + h**9/1890 + h**8/1120 - h**6/720 - h**4/4 - h. Let p(z) be the third derivative of j(z). Factor p(l).
l*(l + 1)**3*(3*l - 1)
Let i = 64 - 64. Let r(l) be the first derivative of 0*l**4 + 2/3*l**3 + i*l - 1/2*l**2 - 2/5*l**5 + 1/6*l**6 - 2. Factor r(n).
n*(n - 1)**3*(n + 1)
Let x(r) be the first derivative of 7*r**6/5 + 2*r**5/25 - 37*r**4/10 + 2*r**3/5 + 16*r**2/5 - 8*r/5 - 6. What is m in x(m) = 0?
-1, 2/7, 2/3, 1
Let i(n) be the second derivative of n**4/4 + n**3/2 - 4*n. Solve i(k) = 0.
-1, 0
Let y(p) = -p - 16. Let v be y(-18). Factor -2/7*n + 0 + 2/7*n**v.
2*n*(n - 1)/7
Suppose -3*z**2 + 8/3*z**4 + 1/3 - 2/3*z**3 + 2/3*z = 0. Calculate z.
-1, -1/4, 1/2, 1
Let a be (0/(-1) + 2)*1. Let o = a - 0. Suppose -3*j**3 + 9*j**o + 2 - 3*j**2 - 7*j + 2*j**2 = 0. What is j?
2/3, 1
Let a(x) be the third derivative of x**7/70 + x**6/10 + 3*x**5/10 + x**4/2 + x**3/2 - 7*x**2. What is i in a(i) = 0?
-1
Let u(s) be the second derivative of -s**5/70 - s**4/21 + s**3/3 - 4*s**2/7 + 8*s. Solve u(o) = 0.
-4, 1
Let u = 5 - 5. Let q = u - -2. Solve -j**3 - 2 - j + 3*j**2 - q*j + 3 = 0.
1
Factor 2*u**3 - 1/4*u**4 - 5/4 - 9/2*u**2 + 4*u.
-(u - 5)*(u - 1)**3/4
Let l(y) be the third derivative of y**7/1120 + y**6/160 - y**3/2 + 6*y**2. Let h(t) be the first derivative of l(t). What is u in h(u) = 0?
-3, 0
Find w such that -3*w**4 + 24 + 36*w - 2*w**2 + 8*w**2 - 92*w**3 + 83*w**3 = 0.
-2, -1, 2
Suppose -5*k + w + 65 = 0, k - 6*k = 3*w - 45. Factor -k*x**4 - 11*x - 4*x**2 + 8 - x + 8*x**4 + 12*x**3.
-4*(x - 2)*(x - 1)**2*(x + 1)
Let r = -217/3 + 73. Let n(i) be the first derivative of 0*i**2 - r*i**3 + 2 - i**4 + 0*i. Determine t, given that n(t) = 0.
-1/2, 0
Let b = 60 + -54. Let z(y) be the first derivative of -20/9*y**3 - 25/18*y**b + 4/3*y**5 + 7/4*y**4 + 0*y + 2/3*y**2 + 3. Solve z(c) = 0 for c.
-1, 0, 2/5, 1
Let k = -23/9 - -271/99. Suppose 0 + k*b - 2/11*b**2 = 0. Calculate b.
0, 1
Suppose -5*f + 4*w + w + 255 = 0, 2*w + 4 = 0. Factor 48*l**2 - l**5 + 4*l**3 - f*l**2 + l**4 - 3*l**3.
-l**2*(l - 1)**2*(l + 1)
Let l(i) be the third derivative of 0*i + 5*i**2 + 13/150*i**5 - 7/75*i**6 + 0 + 2/15*i**3 + 13/60*i**4. Determine q, given that l(q) = 0.
-2/7, -1/4, 1
Suppose 10*n - 32 = 6*n. Let u be (n/(-14))/((-4)/14). Factor -2/3*x**2 + 4/3*x + 0 - u*x**3.
-2*x*(x + 1)*(3*x - 2)/3
Factor 240*p**2 + 32 + 162*p**5 - 160*p - 8*p**3 + 8*p**3 - 270*p**4.
2*(p + 1)*(3*p - 2)**4
Suppose 0 = n - 4 - 1. Let x(v) be the third derivative of 0*v - 1/5*v**3 - 3/40*v**4 - 2*v**2 + 0 - 1/100*v**n. Factor x(i).
-3*(i + 1)*(i + 2)/5
Let u(b) be the first derivative of 3*b**6/10 - 3*b**5/4 + b**4/4 + b**3/2 + 2*b + 3. Let r(i) be the first derivative of u(i). Factor r(t).
3*t*(t - 1)**2*(3*t + 1)
Let v be (399/(-9))/(-1) + 2. Let k = 47 - v. Factor 2/3 + 4/3*w + k*w**2.
2*(w + 1)**2/3
Let r(i) = -3*i**3 + 7*i**2 + 5*i. Let h(t) = -t**3 + t**2 + t. Let u(d) = -5*h(d) + r(d). Let u(v) = 0. Calculate v.
-1, 0
Let a(t) be the first derivative of -3*t**4/2 - 7*t**3 - 17*t**2/2 - 6*t + 1. Let q(b) = b. Let j(y) = -a(y) + 4*q(y). Suppose j(p) = 0. What is p?
-2, -1, -1/2
Let r(p) = 9*p**2 - 9*p - 6. Let m(w) = 11*w**2 - 8*w - 7. Let v(f) = -3*m(f) + 2*r(f). Factor v(y).
-3*(y - 1)*(5*y + 3)
Factor 36/5*x + 27/5 + 12/5*x**2.
3*(2*x + 3)**2/5
Let d(v) be the third derivative of -v**7/1155 + v**5/110 + v**4/66 - 3*v**2. Suppose d(o) = 0. What is o?
-1, 0, 2
Suppose 2*a = 5*a + 12, 0 = 2*k + a. Factor -1/4 + 3/4*o - 3/4*o**k + 1/4*o**3.
(o - 1)**3/4
Find d, given that -1 - 10*d + 14*d**2 - 41*d**3 + 3 + 35*d**3 = 0.
1/3, 1
Suppose 38 + 34 = 2*g. Wha