rst derivative of l(p). Factor n(h).
-(h - 1)**3*(h + 1)/4
Let j(q) = -q**4 - 3*q**3 + 4*q**2 + 2*q - 2. Let v(z) = z**4 - z**3 - z + 1. Let s(g) = j(g) + 2*v(g). Solve s(u) = 0 for u.
0, 1, 4
Solve 128/13 - 2/13*i**3 - 96/13*i + 24/13*i**2 = 0 for i.
4
Let 4/5*x**2 - 2/5*x**3 + 0 - 2/5*x = 0. What is x?
0, 1
Suppose 0 = -5*q - 5, 0 = -2*p - 4*q + 1 - 3. Let t(h) = -3*h**2 + 7*h - 2. Let i = 11 + -5. Let f(l) = l**2 - l. Let n(o) = i*f(o) + p*t(o). Factor n(k).
(k + 1)*(3*k - 2)
Factor -28*p**3 - 10*p**4 - 8 + 24*p**4 + 28*p + 11*p**4 - 12*p**2 - 5*p**4.
4*(p - 1)**2*(p + 1)*(5*p - 2)
What is q in 2/3*q**2 + 0 - 2/3*q**3 - 2/3*q**4 + 2/3*q = 0?
-1, 0, 1
Let y = -19 + 19. Let n(l) be the third derivative of l**2 + 1/12*l**4 + y + 1/6*l**3 + 1/60*l**5 + 0*l. Factor n(o).
(o + 1)**2
Let q(m) = m**2 - m + 5. Let g be q(0). Let h(y) be the third derivative of 0*y + 0*y**3 - 3*y**2 + 0*y**4 + 0 - 1/60*y**g. Let h(d) = 0. What is d?
0
Let i be 1/(14/6 + -2). Let w = 5 - 3. Suppose -2*f**2 + i*f - 2*f + 3*f**w = 0. What is f?
-1, 0
Let x(l) be the second derivative of l**5/4 - 3*l + 3. Factor x(t).
5*t**3
Let s be 1 - (-32)/(-20) - -1. Factor 0*j**3 - s*j - 4/5*j**2 + 4/5*j**4 + 0 + 2/5*j**5.
2*j*(j - 1)*(j + 1)**3/5
Suppose 3*l + 2 - 5 = -5*y, -4 = 3*y - 4*l. Let v = -2/21 - -8/21. Let 0*i + 0*i**2 - 2/7*i**3 + y*i**4 + v*i**5 + 0 = 0. Calculate i.
-1, 0, 1
Let w(v) be the first derivative of 7 + 2/3*v**3 + 0*v**2 + 0*v - 2/5*v**5 - 1/3*v**6 + 1/2*v**4. Factor w(b).
-2*b**2*(b - 1)*(b + 1)**2
Find s, given that -4/5 + 4/5*s**3 - 12/5*s**2 + 12/5*s = 0.
1
Suppose 0 = 7*g - 15*g + 16. Find p such that -2/9*p**2 + 4/3*p - g = 0.
3
Let g(f) be the third derivative of f**6/480 + f**5/160 - f**4/16 - 4*f**3/3 - 5*f**2. Let v(s) be the first derivative of g(s). Let v(h) = 0. What is h?
-2, 1
Let j be 3*((-40)/(-15))/2. Suppose 0 = -f + 6*f + j*k - 14, -1 = 2*f - 5*k. Factor -61/2*a**3 + 0 - 14*a**f - 9/2*a**5 - 2*a - 21*a**4.
-a*(a + 2)**2*(3*a + 1)**2/2
Factor -6*i**2 + 5*i + 8*i**2 - i.
2*i*(i + 2)
Let h = 2936 + -381. Let u = h - 12727/5. Find m, given that -u*m**3 - 32/5*m**4 + 12/5*m - 2/5*m**2 - 2/5 = 0.
-1, 1/4
Let w be 3 - (4 - (-4 + 2)). Let d(v) = v**3 + 4*v**2 + v - 1. Let f be d(w). Solve -1/3*n - 1/3*n**f + 2/3*n**3 + 0*n**2 + 0 + 0*n**4 = 0 for n.
-1, 0, 1
Let o(f) = 8*f**2 + 5*f - 3. Let z(r) be the first derivative of 13*r**3 + 12*r**2 - 15*r + 2. Let p(s) = -24*o(s) + 5*z(s). Factor p(v).
3*(v - 1)*(v + 1)
Let c(t) be the third derivative of -t**8/21 + 4*t**7/15 - 73*t**6/120 + 43*t**5/60 - 11*t**4/24 + t**3/6 - 5*t**2. Solve c(b) = 0 for b.
1/4, 1
Let q(j) = -j - 4*j**3 - 10 + j. Let n(t) be the first derivative of t**4/4 + 3*t + 3. Let m(x) = 10*n(x) + 3*q(x). Factor m(i).
-2*i**3
Let c(x) = 2*x**3 + x**2 - 3*x + 5. Let b(p) = 3*p**3 + 2*p**2 - 5*p + 8. Let o = -1 + -2. Let f be (-5)/(-2)*6/o. Let d(q) = f*b(q) + 8*c(q). Factor d(h).
h*(h - 1)**2
Suppose 16 = c - 4*x - 5, 20 = -4*x. Factor 1 - 2*f**2 + 0*f**2 - c + 2*f.
-2*f*(f - 1)
Let v(w) = -9*w**2 - 2*w - 5. Let k(r) = -r**2 - r. Let c(h) = 2*k(h) - v(h). Let q(x) = -20*x**2 - 14. Let g(u) = -17*c(u) - 6*q(u). Let g(i) = 0. What is i?
-1, 1
Let v be (-10)/(-2) + (1 - 6). Factor 2/5*r**4 - 2/5*r**3 + v + 0*r - 4/5*r**2.
2*r**2*(r - 2)*(r + 1)/5
Let o be (56/(-600))/(2/(-55)). Let r(k) be the second derivative of 0*k**2 + 0 - 16/9*k**4 - 49/45*k**6 - k - o*k**5 - 4/9*k**3. Factor r(p).
-2*p*(p + 1)*(7*p + 2)**2/3
Let d(b) = 14*b**2 - 21*b + 4. Let q(a) = -a. Let m be (-1)/(-2)*(-1 - -1). Let p = -1 - m. Let n(w) = p*d(w) + 3*q(w). Determine s so that n(s) = 0.
2/7, 1
Let f(j) = 2*j**2 + 6*j - 4. Let y be f(-4). Suppose 12*t + 0*t**2 - 7*t**3 - 5*t**y - 11*t**2 - 2 - t - 4*t**5 + 18*t**4 = 0. What is t?
-1, 1/4, 1, 2
Let s(a) be the third derivative of 0 - 1/96*a**4 + 2*a**2 + 1/12*a**3 - 1/240*a**5 + 0*a. Solve s(r) = 0.
-2, 1
Let j(v) be the third derivative of -v**7/1470 + v**5/420 + 7*v**2. Solve j(d) = 0 for d.
-1, 0, 1
Let c(u) = 4*u**3 + 7*u**2 + 5. Let m(h) = -2*h**3 - 3*h**2 - 3. Let q(s) = 6*c(s) + 10*m(s). Determine r, given that q(r) = 0.
-3, 0
Let q be -1 + (-2 + 3)*4. What is s in 5*s**4 + 13*s**q + 4*s**2 - 2 + 5*s**2 - 29*s + 28*s = 0?
-1, 2/5
Find a, given that 1/4 - 1/4*a**3 + 1/4*a - 1/4*a**2 = 0.
-1, 1
Let x(h) = 7*h**3 + 19*h**2 - 19*h + 25. Let k(a) = a**3 + a**2 + 2. Let m(o) = -40*k(o) + 5*x(o). Factor m(w).
-5*(w - 9)*(w - 1)**2
Suppose 5*v - 4*l - 5 = l, -4*v - 2*l + 22 = 0. Let b(i) be the first derivative of 2 + 0*i + i**v + 1/2*i**2 - 4/3*i**3. Suppose b(k) = 0. Calculate k.
0, 1/2
Factor -5*x**2 - 9*x**3 + 5*x**5 + 3*x**3 + 5*x**4 + x**3.
5*x**2*(x - 1)*(x + 1)**2
Let v(s) be the second derivative of -s**7/14 + s**6/15 + 9*s**5/20 - s**4 + 2*s**3/3 + 8*s. Solve v(z) = 0 for z.
-2, 0, 2/3, 1
Let g be (-18)/(-5) + (-2)/(-5). Factor -2/5*j**5 + 0 - 4/5*j**2 + 4/5*j**g + 0*j**3 + 2/5*j.
-2*j*(j - 1)**3*(j + 1)/5
Let h(a) be the first derivative of -a**6/20 - 9*a**5/40 - 3*a**4/8 - a**3/4 - 2*a - 2. Let u(j) be the first derivative of h(j). Factor u(t).
-3*t*(t + 1)**3/2
Let t(z) be the first derivative of -7*z**4/6 - 4*z**3/9 + 1. Suppose t(h) = 0. Calculate h.
-2/7, 0
Solve 0 + 0*s - 2/5*s**5 - 2/5*s**4 + 2/5*s**3 + 2/5*s**2 = 0.
-1, 0, 1
Let v be (0 - 1) + -1 + -1. Let d be (2/6)/(v/(-18)). Factor 4*c**d - 3*c + 5*c - c**4 + 2*c**5 - c**4 - 2 - 4*c**3.
2*(c - 1)**3*(c + 1)**2
Let p = -106 + 110. Factor -9/5 - 13/5*h**2 + p*h**3 - 6*h - 4/5*h**4.
-(h - 3)**2*(2*h + 1)**2/5
Suppose 4*q - 2*l - l = -37, 0 = 3*q + 3*l + 33. Let i = 21/2 + q. Suppose 1/2*d**2 + i - d = 0. Calculate d.
1
Let l(r) = 7*r - 1. Let j be l(-2). Let f = j + 22. Let -2*p**3 - 4*p + 2*p - f*p**2 + 3*p**2 = 0. What is p?
-1, 0
Suppose -3*n + 40 = d, -2*n + 42 - 6 = -4*d. Suppose -3 = -n*i + 13*i. Let -16/3*t**2 - 98/3*t**5 - 40*t**i - 84*t**4 + 0 + 0*t = 0. Calculate t.
-2, -2/7, 0
Let i be -3 - (36/(-8) + 2*-1). Let 1/2*r**5 + 8*r + 25/2*r**2 + 19/2*r**3 + i*r**4 + 2 = 0. What is r?
-2, -1
Let s = -253 - -1013/4. Factor s*z**2 - 1/4*z - 1/2.
(z - 2)*(z + 1)/4
Suppose -7 - c**2 - 3*c**2 - 4*c**3 + 7 = 0. What is c?
-1, 0
Let y(s) be the first derivative of -s**5/5 - 2*s**4/3 + 5*s**3/9 + s**2 + 2. Find i such that y(i) = 0.
-3, -2/3, 0, 1
Let k(f) be the first derivative of -2*f**3/15 - 8*f**2/5 - 32*f/5 - 18. Suppose k(w) = 0. Calculate w.
-4
Factor 0 + 1/3*x**2 - 1/3*x.
x*(x - 1)/3
Suppose -4*u - 6 = -26, -t - 34 = -2*u. Let i be (4/15)/(t/(-20)). Factor 2/9*y**4 - i*y**5 + 0*y**2 + 0*y**3 + 0*y + 0.
-2*y**4*(y - 1)/9
Let l(v) = v - 7. Let i(b) = -b. Let g be i(-7). Let a be l(g). Solve 2/7*y - 2/7*y**2 + a = 0.
0, 1
Let b(c) = -c**3 - c + 6. Let u(k) be the first derivative of -k**4/4 - k**2 + 7*k - 1. Let p(a) = -5*b(a) + 4*u(a). Factor p(x).
(x - 2)*(x + 1)**2
Let q(h) = 16*h**2 + 16*h. Let p(f) = 5*f**2 + 5*f. Let w(m) = 7*p(m) - 2*q(m). Factor w(o).
3*o*(o + 1)
Suppose 0*f - 9 = -4*g + 3*f, 1 = -g + 4*f. Suppose 34 = 3*j + 5*s + 8, 4 = -4*j + g*s. Factor -c**2 + 0*c + 0*c**j + c.
-c*(c - 1)
Let d(m) = -6*m**4 + 10*m**3 - 2*m**2 + 2*m. Let s(h) = h**4 - h**3 + h**2 - h. Let t(v) = d(v) + 2*s(v). Factor t(j).
-4*j**3*(j - 2)
Let u(f) = f**2 - 8*f + 4. Suppose -3*d = d - 32. Let j be u(d). What is o in -o**2 + o**j + 1/2*o + 0 - 1/2*o**5 + 0*o**3 = 0?
-1, 0, 1
Suppose 9 = z + 2*x, 5*z = -4*x + 8*x + 3. Factor 4*p**2 + 11*p**2 + 9*p**3 - 2*p**2 + 3*p + 2*p**2 - z.
3*(p + 1)**2*(3*p - 1)
Let n(z) = z + 10. Let f be n(-8). Suppose -2*u + 6 = 2*d - 5*u, -4*u = -2*d + 8. Solve d + 2/5*a + 8/5*a**f + 12/5*a**3 + 2/5*a**5 + 8/5*a**4 = 0.
-1, 0
Let n(f) be the second derivative of f**7/28 - f**6/4 + 3*f**5/20 + 7*f**4/4 - 3*f**3/4 - 27*f**2/4 - 41*f. Suppose n(z) = 0. Calculate z.
-1, 1, 3
Let n(x) = x**3 - x**2 - x + 4. Let w be n(0). Determine a so that 7*a + 3*a**3 - 7*a + 11*a**3 - 18*a**2 + w*a = 0.
0, 2/7, 1
Let f(q) = q**2 - 8*q - 5. Let k be f(9). Let d(t) be the second derivative of 0 + 0*t**3 + 1/80*t**5 + 0*t**2 - 1/48*t**k - t. Solve d(v) = 0.
0, 1
Let d(h) = -h**3 - 6*h**2 - 7*h - 2. Let a be d(-5). Let b = -6 + a. Factor -m**2 + 7*m**b - 2 + 7*m - 4*m**2 - 7*m**3.
-(m - 1)*(m + 1)*(7*m - 2)
Suppose -5*p + p = -s - 20, -5*p + 25 = 0. Suppose -1/3*m**3 + 2/9*m**2 + 0*m + s = 0. 