 d, given that -8*d**3 - 4*d**2 + 10*d**4 - 6*d**4 - 8*d**4 = 0.
-1, 0
Let g(f) = 4*f**2 + 3*f - 1. Let l(t) = 8*t**2 + 5*t - 3. Let r(o) = -5*g(o) + 3*l(o). Factor r(y).
4*(y - 1)*(y + 1)
Let b(s) be the first derivative of 0*s - 8/3*s**3 + 3 - s**2 + 7/10*s**5 - 5/8*s**4. Suppose b(j) = 0. What is j?
-1, -2/7, 0, 2
Let f(i) = -3*i - 66. Let g be f(-23). Let z(q) be the first derivative of 14/9*q**3 + g + 1/9*q**6 + 2/3*q**2 + 2/3*q**5 + 0*q + 3/2*q**4. Factor z(r).
2*r*(r + 1)**3*(r + 2)/3
Let z = -4 - -7. Let v(u) be the third derivative of 0*u + 0 + 0*u**z - 1/15*u**5 - 1/60*u**6 - 1/12*u**4 - u**2. Determine f, given that v(f) = 0.
-1, 0
Let x(w) = -w**4 - w**2 - w - 1. Let a(y) = -14*y**4 - 6*y**2 - 10*y - 10. Let c(u) = a(u) - 10*x(u). Suppose c(l) = 0. What is l?
-1, 0, 1
Let r be 0 - (-2)/(-4) - 10/(-10). Solve 0*s + 1/2*s**2 + 0 + r*s**3 = 0 for s.
-1, 0
Suppose -3*g + 10 = r - 8*g, -4 = -2*r + 2*g. Solve r*u - 1/5 + 1/5*u**2 = 0 for u.
-1, 1
Factor 0 + 0*q**2 + 0*q - 1/2*q**3.
-q**3/2
Factor 1/4*u + 0 - 1/8*u**2.
-u*(u - 2)/8
Factor 2*k**2 - 11*k**3 - 16*k**3 + 29*k**3.
2*k**2*(k + 1)
Let u(o) be the second derivative of o**7/84 - o**6/15 - o**5/40 + o**4/6 + 30*o. Factor u(n).
n**2*(n - 4)*(n - 1)*(n + 1)/2
Let f(d) be the second derivative of 1/15*d**6 + 2/25*d**5 - 9*d + 0 + 0*d**2 + 2/105*d**7 + 0*d**3 + 1/30*d**4. Find v, given that f(v) = 0.
-1, -1/2, 0
Let b = 57 + -53. Let l(y) be the second derivative of -3/100*y**5 + 1/70*y**7 - 6/5*y**2 - 3/50*y**6 + 0*y**3 + 0 + 3*y + 7/20*y**b. Solve l(x) = 0.
-1, 1, 2
Let f(t) be the third derivative of t**7/525 + t**6/60 + t**5/25 - t**4/15 - 8*t**3/15 + 11*t**2. Suppose f(w) = 0. Calculate w.
-2, 1
Let g(j) be the second derivative of -2*j**7/21 + 6*j**6/5 - 32*j**5/5 + 56*j**4/3 - 32*j**3 + 32*j**2 + 23*j. Find l, given that g(l) = 0.
1, 2
Let t(u) = 3*u**2 + 7*u + 6. Let x be t(-1). Factor -2/7*n**x - 2/7 + 4/7*n.
-2*(n - 1)**2/7
Let b(u) be the first derivative of -19/2*u**4 + 3 - 13/2*u**3 + 88/5*u**5 - u + 16*u**6 + 19/4*u**2. Let b(s) = 0. What is s?
-1, -2/3, 1/4
Let k be ((-8)/12)/((-4)/54). Find v such that 8*v**2 + 3*v**4 + 3*v - k*v - 12*v**3 + 7*v**2 + 0*v = 0.
0, 1, 2
Let r(m) be the first derivative of -2*m**5/45 + m**4/6 - 4*m**2/9 - 32. Solve r(b) = 0.
-1, 0, 2
Let d(r) be the second derivative of 1/6*r**5 + 0 - 4*r - 2/9*r**2 - 5/9*r**3 - 13/27*r**4 + 28/135*r**6. What is a in d(a) = 0?
-1, -2/7, -1/4, 1
Suppose -12*i - 5*i**4 - 10*i**2 - 20*i**3 - 18*i**2 + i**4 = 0. What is i?
-3, -1, 0
Let x(z) = -2*z - 5. Let o be x(-4). Let p be o + 0 + (-8)/3. Let b**2 + 1/3 - b - p*b**3 = 0. What is b?
1
Let n(a) be the first derivative of 3*a**5/5 + 3*a**4/4 - 4*a**3 - 6*a**2 - 24. Find t such that n(t) = 0.
-2, -1, 0, 2
Let o(p) be the second derivative of 9*p**5/40 - 7*p**4/16 - p**3/8 + 3*p**2/4 - 4*p. What is y in o(y) = 0?
-1/2, 2/3, 1
Suppose -3*s + 3 = 4*n, s = -0*s - 3. Suppose 0 = 2*c + 2*q - 4, -2*q - 2*q = n*c - 6. Solve -4/3*a**c + 0 - 2/3*a**3 - 2/3*a = 0.
-1, 0
Suppose -5*a + 3*a + 4 = 0. Suppose -a*r + 6*h - 3*h = -3, 5*r + 3*h - 18 = 0. Factor 1/2 - 3/2*j**4 - j**r + 3/2*j + j**2 - 1/2*j**5.
-(j - 1)*(j + 1)**4/2
Suppose 4*i + 5 = 1, 13 = 5*m - 3*i. Let l(r) be the first derivative of -2/3*r**3 - 2 + r**m + 0*r. Factor l(s).
-2*s*(s - 1)
Suppose -h + 0 = -4. Determine t so that 0*t + 1/6*t**h - 1/3*t**3 + 0 + 1/6*t**2 = 0.
0, 1
Let h(c) be the third derivative of -c**8/2016 - c**7/1260 + c**6/360 - 3*c**2. Factor h(w).
-w**3*(w - 1)*(w + 2)/6
Let o(p) be the third derivative of p**8/336 - p**7/70 - 3*p**6/40 - p**5/12 - 34*p**2. Find n such that o(n) = 0.
-1, 0, 5
Let w(r) be the third derivative of r**8/1176 - 8*r**7/735 + 17*r**6/420 + r**5/15 - r**4 + 24*r**3/7 + r**2 - 3. Suppose w(i) = 0. What is i?
-2, 2, 3
Let g(l) be the second derivative of l**4/42 + l**3/7 + 20*l + 1. Factor g(j).
2*j*(j + 3)/7
Let 0 + 2/5*l**3 - 6/5*l**2 + 6/5*l**4 - 4/5*l + 2/5*l**5 = 0. What is l?
-2, -1, 0, 1
Let p(u) = -u**2 - 4*u - 1. Let l be p(-3). Let v(s) be the first derivative of -1/3*s**3 - 1 - s**l - s. Factor v(a).
-(a + 1)**2
Factor 3*d**2 + 1/2 + 2*d + 1/2*d**4 + 2*d**3.
(d + 1)**4/2
Let f(v) = 8*v**3 + 14*v**2 - 14*v. Let k(j) = 3*j**3 + 5*j**2 - 5*j. Let z(m) = -5*f(m) + 14*k(m). Factor z(n).
2*n**3
Let m(r) = -9*r**3 + 3*r**2 - 4*r + 5. Suppose -q = -5*q + 20. Let n(z) = 4*z**3 - 2*z**2 + 2*z - 2. Let b(t) = q*n(t) + 2*m(t). Determine y so that b(y) = 0.
0, 1
Suppose 0 = -165*z + 173*z - 24. Suppose 18/13*q + 10/13*q**z + 24/13*q**2 + 4/13 = 0. Calculate q.
-1, -2/5
Let t(s) = 8*s**2 - 32*s + 2. Let o(r) = 3*r**2 - 11*r + 1. Let x(h) = 14*o(h) - 5*t(h). Suppose x(l) = 0. What is l?
-2, -1
Suppose 4*u**2 - 6*u**4 + 4*u**5 - 6*u**5 - 4*u**2 = 0. Calculate u.
-3, 0
Let n(g) be the third derivative of -g**9/211680 + g**8/70560 - g**5/30 + 3*g**2. Let h(f) be the third derivative of n(f). Factor h(q).
-2*q**2*(q - 1)/7
Let u(r) be the third derivative of r**7/840 - r**6/144 + r**5/240 + r**4/24 + r**3/3 - 4*r**2. Let m(h) be the first derivative of u(h). Factor m(w).
(w - 2)*(w - 1)*(2*w + 1)/2
Factor -t**4 + 0 + 0*t - 1/3*t**2 - 1/3*t**5 - t**3.
-t**2*(t + 1)**3/3
Factor 0 + 2/5*a**2 + 4/5*a.
2*a*(a + 2)/5
Let k(q) = -190*q**5 - 325*q**4 + 270*q**2 + 80*q - 55. Let j(n) = 7*n**5 + 12*n**4 - 10*n**2 - 3*n + 2. Let p(c) = 55*j(c) + 2*k(c). Factor p(y).
5*y*(y - 1)*(y + 1)**3
Let w(k) be the second derivative of 0*k**2 + 0 + 3*k - 1/12*k**3 - 1/12*k**4. What is o in w(o) = 0?
-1/2, 0
Suppose 4*i = 2*w + 3*w - 25, -3*w + 15 = -3*i. Let n(h) be the first derivative of 3 + i*h + 1/5*h**3 + 0*h**2. Suppose n(d) = 0. What is d?
0
Let k(c) = 2*c**2 - 2*c - 4. Suppose -2 = -2*t + 2. Let v(n) = -n**2 + 3*n + 4. Let b(a) = t*v(a) + 3*k(a). Factor b(s).
4*(s - 1)*(s + 1)
Let y(p) = -2*p**3 + 9*p**2 + 11*p. Let n(h) = -h**3 + 4*h**2 + 5*h. Let s be (-1)/1 - 4/1. Let d = 4 - s. Let z(r) = d*n(r) - 4*y(r). Factor z(c).
-c*(c - 1)*(c + 1)
Let p be ((-68)/51)/(2/(-6)). What is b in -6/13*b**p + 4/13*b**2 - 4/13*b**3 + 2/13 - 2/13*b**5 + 6/13*b = 0?
-1, 1
Let x(y) be the third derivative of -y**7/840 + y**5/240 - 18*y**2. Solve x(p) = 0.
-1, 0, 1
Let m(s) be the first derivative of 3*s**4/32 - 15*s**3/8 + 189*s**2/16 - 147*s/8 + 12. Factor m(p).
3*(p - 7)**2*(p - 1)/8
Let x(k) be the first derivative of -2/3*k**3 + k**4 + 1 + 0*k + 0*k**2 - 2/5*k**5. Let x(s) = 0. Calculate s.
0, 1
Let k(j) = -2*j - 8. Let d be k(-6). Find a, given that d*a - 5*a**2 + 0*a**2 + 3*a + 1 - 3 = 0.
2/5, 1
Let k = -3 + 6. Solve v**k + 0*v**2 + 0*v**4 - v - v**4 + 0*v**2 + v**2 = 0 for v.
-1, 0, 1
Let q(i) be the second derivative of i**7/63 + i**6/15 - 2*i**4/9 + 14*i. Suppose q(r) = 0. Calculate r.
-2, 0, 1
Let p(w) be the first derivative of 6*w**4 - 3/5*w**5 - 2*w**6 - 6*w**2 - 3*w + 2*w**3 - 2. Suppose p(h) = 0. Calculate h.
-1, -1/4, 1
Suppose 20*g - 67 = -27. Solve -1 - 1/4*o**g + o = 0 for o.
2
Let c(x) be the third derivative of x**7/6300 - x**6/900 + x**5/300 - x**4/8 - x**2. Let f(d) be the second derivative of c(d). Suppose f(y) = 0. What is y?
1
Let j(a) be the third derivative of a**5/60 - a**4/24 - 3*a**2. Let u be j(2). Factor -2 + 10 + 6*m**2 - m**u - 3*m**2 - 8*m.
2*(m - 2)**2
Suppose 2*o - 2 = 2. Let q be (o + 1 + -5)/(-6). Factor -2/3 + q*y**2 + 1/3*y.
(y - 1)*(y + 2)/3
Let m be 12/(-4)*2/16. Let k = 1/40 - m. Factor 0*j + k*j**3 + 0 + 0*j**2.
2*j**3/5
Let y(f) = -f**3 - 4*f**2 + 9*f - 12. Let u be y(-6). Let w(d) be the first derivative of -u*d - 2*d**2 - 2 - 2/9*d**3. Suppose w(t) = 0. What is t?
-3
Suppose -z = -2*z. Let l(g) be the second derivative of 0*g**3 + 1/3*g**4 - 1/2*g**5 + 4/15*g**6 + 2*g + 0*g**2 - 1/21*g**7 + z. Factor l(w).
-2*w**2*(w - 2)*(w - 1)**2
Let q(r) = -r**2 + 3*r + 6. Let c be q(4). Find k such that 5*k**3 - 12*k**2 - 3*k + 8*k**2 + c*k = 0.
-1/5, 0, 1
Let b(v) be the first derivative of v**6/420 + v**5/210 - v**4/84 - v**3/21 - v**2/2 + 1. Let a(r) be the second derivative of b(r). Factor a(l).
2*(l - 1)*(l + 1)**2/7
Let m(b) = -4*b**3 + 3*b**2 - 2. Let s be m(-1). Let p(l) be the second derivative of -1/6*l**3 - 1/10*l**s + 1/4*l**4 + 0 - 4*l + 0*l**2. Factor p(o).
-o*(o - 1)*(2*o - 1)
Suppose 4*s + 5*i = 3, -4*s + 3*i - 4*i = -7. Let d be (12/(-8))/(s/(-4)