rivative of g(p). Factor j(v).
3*v*(v + 1)**2
Let r(t) = 7 + 5*t - 9 - t + 4*t**2 - 5*t**2. Let i be r(2). What is q in -1/3*q**i + 0 + 2/3*q = 0?
0, 2
Let a(b) be the second derivative of b**5/5 + 4*b**4/3 + 10*b**3/3 + 4*b**2 - 7*b. Factor a(d).
4*(d + 1)**2*(d + 2)
Suppose y = -5*f + 3*f + 14, 47 = 4*y + 5*f. Suppose -2*h - y = -3*j, -8*j = -3*j + h - 9. Let 0 + 2/3*x**3 + 2/3*x - 4/3*x**j = 0. Calculate x.
0, 1
What is p in 6*p**2 - p + 2*p**3 - p**4 - 2 - p**4 + 5*p**3 - 8*p**3 = 0?
-2, -1/2, 1
Let n(g) be the first derivative of -2/3*g**3 - 2 + 1/2*g**2 - 7*g. Let i(r) = -r**2 + r - 4. Let v(j) = 5*i(j) - 3*n(j). Factor v(w).
(w + 1)**2
Let f be (4/(-10))/((-3)/15). Solve -r + f*r**2 + r**2 + 0*r**2 - 4*r**2 = 0 for r.
-1, 0
Factor 2/3 - 8/3*i**2 + 2*i.
-2*(i - 1)*(4*i + 1)/3
Factor 0*f + 0 - 2/13*f**5 + 0*f**3 + 0*f**2 + 0*f**4.
-2*f**5/13
Suppose -3*w + 14 = 4*w. Suppose w*z + 2*m = 10, z + 8*m - 3*m - 13 = 0. Solve -6/5*k - 2/5*k**z - 2/5 - 6/5*k**2 = 0 for k.
-1
Let w(x) be the second derivative of 2*x + 0 + 0*x**5 + 0*x**2 + 1/60*x**6 + 0*x**3 - 1/24*x**4. Factor w(j).
j**2*(j - 1)*(j + 1)/2
Let b(s) = 3*s**5 + 11*s**4 + 7*s**3 + s**2 + 2*s - 2. Let t(o) = -o**4 + o**3 + o**2 - o + 1. Let u = 3 - 1. Let a(r) = u*t(r) + b(r). Factor a(g).
3*g**2*(g + 1)**3
Let d(q) be the second derivative of -11*q - 9/20*q**5 + 1/14*q**7 + 0*q**2 - q**4 + 2*q**3 + 0 + 1/5*q**6. Let d(j) = 0. Calculate j.
-2, 0, 1
Let q(u) be the third derivative of u**7/35 - u**6/60 - 4*u**5/15 - u**4/3 - 8*u**2. Factor q(w).
2*w*(w - 2)*(w + 1)*(3*w + 2)
Let p be (((-88)/1)/2)/1. Let j = -306/7 - p. Suppose -2/7*q**2 - 2/7*q + 2/7*q**3 + j = 0. Calculate q.
-1, 1
Let u(a) be the third derivative of 1/40*a**5 + 0*a + 1/18*a**3 + 1/1260*a**7 + 7/144*a**4 + 0 + 1/144*a**6 + 5*a**2. Factor u(k).
(k + 1)**3*(k + 2)/6
Let p(l) be the third derivative of l**5/160 + 7*l**4/64 + 3*l**3/8 + 15*l**2. Find z such that p(z) = 0.
-6, -1
Let w(f) be the second derivative of -5*f**4/126 - 4*f**3/21 - 4*f**2/21 + 4*f. Suppose w(z) = 0. What is z?
-2, -2/5
Let k = 1/322 - -2571/1610. Factor -4*l**2 + k*l - 2/5*l**3 - 2/5*l**5 + 8/5*l**4 + 16/5.
-2*(l - 2)**3*(l + 1)**2/5
Suppose -8 - 2 = -5*y. Suppose -3*b = -y - 4. Suppose -b*t**5 - t - t + 0*t + 4*t**3 = 0. Calculate t.
-1, 0, 1
Let z(d) be the second derivative of d**4/6 + 4*d**3 + 36*d**2 + 29*d. Factor z(y).
2*(y + 6)**2
Let k(t) be the third derivative of 1/48*t**4 + 1/120*t**5 - 5*t**2 - 1/6*t**3 + 0 + 0*t. Let k(l) = 0. What is l?
-2, 1
Let n(u) be the second derivative of -1/2*u**4 + 3/10*u**6 + 2*u + 0 + 2*u**3 - 3/5*u**5 - 3/2*u**2. Find m, given that n(m) = 0.
-1, 1/3, 1
Suppose -f + 8 = 3*f. Let c = -243/4 - -61. Let 0*l**f - c*l**3 + 0 + 0*l = 0. Calculate l.
0
Let b be (-3)/21 - (-3)/7. Let -b - 2/7*o**2 + 4/7*o = 0. Calculate o.
1
Factor -31 + 15*c + 22*c - c**2 - 25*c - 5.
-(c - 6)**2
Suppose -3*t + 43*t**3 - 36*t**3 + 12*t - 15*t**2 - t**4 = 0. Calculate t.
0, 1, 3
Let r = 27 - 23. Let p(y) be the third derivative of 0 - 2*y**2 - 2/9*y**3 + 1/60*y**5 + 0*y + 0*y**r - 1/360*y**6. Determine l so that p(l) = 0.
-1, 2
Solve 32/7*x**2 - 8/7*x**3 - 6*x + 18/7 = 0.
1, 3/2
Let w(r) be the third derivative of -r**8/112 + 2*r**7/35 - r**6/8 + r**5/10 - 5*r**2. Determine i so that w(i) = 0.
0, 1, 2
Let r(p) be the second derivative of 0 - 1/21*p**6 - 3*p + 0*p**2 + 3/70*p**5 + 1/21*p**4 + 0*p**3. Factor r(f).
-2*f**2*(f - 1)*(5*f + 2)/7
Let r(x) be the second derivative of 0*x**6 + 2/105*x**7 + 2/5*x**3 - 4/25*x**5 - 5*x + 0 + 4/5*x**2 - 2/15*x**4. Find w such that r(w) = 0.
-1, 1, 2
Find p such that -4/13*p**2 + 4/13 - 2/13*p**3 + 2/13*p = 0.
-2, -1, 1
Let g(i) = -i**3 + 4*i**2 - 4*i + 5. Let a be g(3). Let d(y) be the first derivative of a + 1/5*y + 1/15*y**3 - 1/5*y**2. Find k such that d(k) = 0.
1
Let k(h) be the second derivative of h**5/20 - h**4/12 - h**3/3 + 14*h. Factor k(l).
l*(l - 2)*(l + 1)
Suppose -k - 11 = -3*k - 3*h, k = 5*h + 12. Let g = 22/3 - k. Let 0 + 1/3*m**2 + g*m = 0. Calculate m.
-1, 0
Let i = 1 - -4. Suppose -i*h = -209 + 89. Determine q, given that 7*q**2 - 4 + 12*q - h*q**3 + 7*q**2 + 4*q - 2*q = 0.
-2/3, 1/4, 1
Suppose -4*l = -2*u + 30, 0*u - 4*l = 4*u. Suppose 4*z = -5*v + 13, v = 4*z - u*z + 3. Factor 2/3*p**z + 2/3*p - 4/3.
2*(p - 1)*(p + 2)/3
Let w(c) = -2*c**2 - c + 3. Let r(g) = 6*g**2 + 4*g - 10. Let q(l) = -3*r(l) - 10*w(l). What is b in q(b) = 0?
0, 1
Let t(a) be the third derivative of a**7/210 - a**5/20 - a**4/12 - a**2. Determine k, given that t(k) = 0.
-1, 0, 2
Let j(i) = -i. Let s(t) = 3*t**2 - 8*t - 3. Let h(x) = -5*j(x) - s(x). Let q(g) = 2*g**2 - 7*g - 1. Let v(b) = -6*h(b) - 10*q(b). Factor v(p).
-2*(p + 2)**2
Let r(f) = -10*f**4 + 15*f**3 - 5. Let x(n) = n**5 - n**4 - n**2 + 1. Let d(t) = -r(t) - 5*x(t). Suppose d(u) = 0. Calculate u.
0, 1
Suppose w = 2*w, 5*c = 5*w + 20. Let r be ((-2)/c)/(4/(-16)). Suppose 1/4 + 0*m - 1/4*m**r = 0. Calculate m.
-1, 1
Let u(l) be the first derivative of -5*l**6/6 + 5*l**5 - 35*l**4/4 + 5*l**3 + 11. Solve u(h) = 0.
0, 1, 3
Let u(b) be the second derivative of b**4/12 - b**3 + 3*b**2/2 + 3*b. Let m be u(6). Let -1/2*t**m + 0 + 1/2*t**2 + 1/2*t - 1/2*t**4 = 0. Calculate t.
-1, 0, 1
Let d(w) be the first derivative of -3*w**5/35 + w**4/4 + w**3/21 - w**2/2 + 2*w/7 + 11. Suppose d(r) = 0. Calculate r.
-1, 1/3, 1, 2
Factor 0*x**3 + 2*x**3 + 17*x**2 - 14*x**2 - 5*x**2.
2*x**2*(x - 1)
Suppose -m - m = -f - 1, -2*f - 2 = 3*m. Let y(u) be the second derivative of -1/3*u**3 + 1/4*u**4 + m*u**2 + 0 - 2*u. Suppose y(d) = 0. What is d?
0, 2/3
Factor -9*a**3 - 2 + 12 - 3*a**3 - 9*a**2 + 2 - 3*a**4 + 12*a.
-3*(a - 1)*(a + 1)*(a + 2)**2
Let b be 2/4 - 1/2. Let l(y) = y**2 + y + 4. Let d be l(b). Suppose 5 + v**2 - d*v - 2 + 1 = 0. Calculate v.
2
Suppose 0 = 3*u + 1 - 4. Let c(q) be the first derivative of 0*q - u + 1/8*q**4 + 0*q**3 - 1/10*q**5 + 0*q**2. Factor c(g).
-g**3*(g - 1)/2
Suppose 0 = 2*t + 3 - 5. Suppose t - 3 = -k. Factor 2/5 - k*s + 2*s**4 + 4*s**2 - 4*s**3 - 2/5*s**5.
-2*(s - 1)**5/5
Let d(b) = 16*b**2 - 34*b - 2. Let i(r) = -r**3 - 32*r**2 + 69*r + 5. Let a(f) = 5*d(f) + 2*i(f). Factor a(o).
-2*o*(o - 4)**2
Let b(p) be the third derivative of -p**7/105 + p**6/30 - p**5/30 - 8*p**2. Factor b(j).
-2*j**2*(j - 1)**2
Let k(c) be the first derivative of -4 + 4/3*c**3 + c**2 + 0*c. Factor k(n).
2*n*(2*n + 1)
Suppose -12 = -3*l - 0*l. Suppose 0 = -2*w + l + 2. Suppose -w*r - 2*r**2 - 8 + r - 6*r = 0. Calculate r.
-2
Let q(a) = 0 + 1 + 2*a**2 - 2*a + 0 + a**3. Let o be q(1). Factor -y + y - 2*y**o.
-2*y**2
Suppose 3*n - 3*c + 5 = 2*c, 16 = 4*c. Factor 2*y**4 + 3*y**n - 3*y**2 - 3*y**3 - 2*y**4 + 0*y**4 + 3*y**4.
3*y**2*(y - 1)*(y + 1)**2
Let m = -1 - -3. Let u = 51603/2548 - 3/1274. Suppose -11*z - 45/2*z**2 - u*z**3 - 27/4*z**4 - m = 0. What is z?
-1, -2/3
Factor 12/5 - 14/5*m + 2/5*m**2.
2*(m - 6)*(m - 1)/5
Let k = 76253/2028 + -1/10140. Suppose 0 - 48/5*f**2 + 126/5*f**5 + 6/5*f**3 + k*f**4 + 8/5*f = 0. What is f?
-1, 0, 2/9, 2/7
Let t(s) be the first derivative of 8/3*s**3 - 2*s + 3*s**2 - 3. Factor t(l).
2*(l + 1)*(4*l - 1)
Let q(s) be the third derivative of 13*s**6/120 - s**5/4 + s**4/12 - 23*s**2. Suppose q(m) = 0. What is m?
0, 2/13, 1
Let j(w) be the second derivative of w**5/270 - w**4/36 + 2*w**3/27 - 3*w**2/2 - 3*w. Let l(r) be the first derivative of j(r). Let l(f) = 0. Calculate f.
1, 2
Let o(r) be the first derivative of r**3/3 - r**2 + r + 25. Find k, given that o(k) = 0.
1
Suppose -10 = -d + 3*h, -8 = -2*d - h + 4*h. Let c = -7/4 - d. Solve -1/4*k - 1/4*k**2 + 1/4*k**3 + c*k**4 + 0 = 0.
-1, 0, 1
Let y(k) be the third derivative of -1/30*k**5 - 3*k**3 - 5*k**2 - 1/2*k**4 + 0*k + 0. Factor y(l).
-2*(l + 3)**2
Let t be (-4)/(-2 + -6)*(1 - -5). Factor -m**t + 0*m**4 + 0*m**2 + 1/2*m**5 + 0 + 1/2*m.
m*(m - 1)**2*(m + 1)**2/2
Let u = 6 - 3. Let i(j) be the first derivative of u + 8*j - 10/3*j**3 - 8*j**2. Find o, given that i(o) = 0.
-2, 2/5
Let k(u) = -2*u**4 + 2*u**2 + u. Suppose 0 = -2*g - g - 6. Let y(o) = -o**4 + o**2 + o. Let d(a) = g*k(a) + 2*y(a). Factor d(h).
2*h**2*(h - 1)*(h + 1)
Let p = -14 - -18. Suppose -5*f - 16 = 2*m, -16 = 8*f - p*f. Suppose -4/5*j**3 - 4/5*j**m - 2/5 + 6/5*j - 2/5*j**5 + 6/5*j**4 = 0. What is j?
-1, 1
Le