5/2*r**2 + 3/2*r**3 + x*r**4.
(r - 1)*(r + 1)**2*(4*r - 1)/2
Let o(h) = 1. Let r(v) = -4 + 2*v**2 + v + v**3 + 1 + 0*v**3. Let w(g) = -3*o(g) - r(g). Factor w(n).
-n*(n + 1)**2
Let n(r) be the first derivative of r**3/9 - 2*r**2/3 + 4*r/3 - 5. Determine k so that n(k) = 0.
2
Let z be -4 + 3 + -7 + -1. Let y be -3*3/z - -3. Factor 0 - m**2 - 1/3*m**y - 1/3*m - m**3.
-m*(m + 1)**3/3
Let c = -154 - -617/4. Factor 1/8*a + c - 1/8*a**2.
-(a - 2)*(a + 1)/8
Let t(w) = w**4 - w + 1. Let h(y) = 2*y**4 - y**3 - 8*y**2 + 11*y + 1. Let s(z) = h(z) - t(z). Factor s(o).
o*(o - 2)**2*(o + 3)
What is b in 4*b**2 - 8*b**3 + 7*b**3 - 5*b**2 = 0?
-1, 0
Solve 15*v**2 + 10*v + 11*v + 15*v**3 - 6 - 42*v**2 - 3*v**4 = 0 for v.
1, 2
Let u = 48 - 383/8. Let j(y) be the second derivative of -3/80*y**5 + 5/48*y**4 + 0 - u*y**2 - 1/24*y**3 - 2*y. Factor j(v).
-(v - 1)**2*(3*v + 1)/4
Let v(g) be the second derivative of 0 + 0*g**2 + 1/84*g**7 - 1/24*g**3 - 1/24*g**6 + 3/80*g**5 + g + 1/48*g**4. Let v(p) = 0. What is p?
-1/2, 0, 1
Let x(u) = 7*u + 63. Let j be x(-9). Let 2/3*f**2 + j + 2/3*f = 0. Calculate f.
-1, 0
Let j be (-115)/(-15) + -6 - (1 - 0). Let x(l) be the first derivative of 2/3*l**2 - 2/9*l**3 + 2 - j*l. Suppose x(w) = 0. What is w?
1
Suppose 4/3*t**2 + 5/3*t**3 + 0 + 2/3*t**4 + 1/3*t = 0. Calculate t.
-1, -1/2, 0
Let v(n) = -6*n**2 + 2*n - 1. Let k be v(1). Let r be -1 - (-1 + 3) - k. Suppose -5*g**4 + 0*g**r + 0*g**4 + 12*g**3 + 2*g**4 - 12*g**2 = 0. Calculate g.
0, 2
Let w(i) be the third derivative of -1/30*i**5 + 0*i**3 + 1/6*i**4 - 5*i**2 + 0*i + 0. Factor w(d).
-2*d*(d - 2)
Let 42*k**5 + 2*k**4 + k - 43*k**5 + 2*k - 2*k - 2*k**2 = 0. Calculate k.
-1, 0, 1
Let v(o) be the second derivative of -o**4/36 + 7*o**3/18 - 5*o**2/3 + 6*o + 3. Find g such that v(g) = 0.
2, 5
Let j(w) be the first derivative of -2*w**5/15 + 2*w**4/3 + 8*w**3/3 - 32*w**2/3 - 128*w/3 + 26. Suppose j(d) = 0. Calculate d.
-2, 4
Let v(p) = -8*p**4 + 5*p**3 + 13. Let l(h) = 4*h**4 - 2*h**3 - 6. Let i(j) = -13*l(j) - 6*v(j). Factor i(n).
-4*n**3*(n + 1)
Suppose -2*k + 4 = -4*j, 0 = k + 3*k + j - 8. Let f(q) be the first derivative of 0*q + 1/3*q**k - 2 + 1/6*q**4 + 4/9*q**3. Factor f(n).
2*n*(n + 1)**2/3
What is z in z**4 - 7*z**3 + z**3 - 1 - 2*z + 0 + 8*z**3 = 0?
-1, 1
Let y(l) be the second derivative of -1/6*l**2 + 0*l**4 + 2*l - 1/30*l**5 + 0 + 1/90*l**6 + 1/9*l**3. Let y(j) = 0. Calculate j.
-1, 1
Suppose 0 + 32/3*j**2 - 14/3*j**3 - 8/3*j = 0. What is j?
0, 2/7, 2
Let m be (3*1)/(-2 - -3). Let w + m*w**2 + 0*w + 2*w = 0. Calculate w.
-1, 0
Let d(p) be the second derivative of p**4/60 - p**3/30 - 8*p. Factor d(f).
f*(f - 1)/5
Let y(c) be the second derivative of -c**6/360 + c**5/180 - 3*c**2/2 + 6*c. Let x(f) be the first derivative of y(f). Factor x(d).
-d**2*(d - 1)/3
Suppose 3/2*w + 3*w**2 + 0 = 0. Calculate w.
-1/2, 0
Suppose -c = -6*c - 20, -3*c = -5*n + 17. Solve 0*y**2 + 3*y**2 - 5*y**2 + y**3 - 3*y**3 - n + 3*y + 3*y**4 - y**5 = 0.
-1, 1
Let b(p) be the second derivative of -1/18*p**4 + 0 - 1/9*p**3 + 1/3*p**2 + 1/30*p**5 + p. Suppose b(q) = 0. What is q?
-1, 1
Suppose -6*h = -h - 25. Suppose -4*b**h + 2*b**3 - 2*b + 6*b**3 - 2*b = 0. What is b?
-1, 0, 1
Let y(q) be the third derivative of 7/60*q**6 - 3/5*q**5 + 0 + 5/3*q**4 + 0*q + 3*q**2 - 8/3*q**3 - 1/105*q**7. Factor y(i).
-2*(i - 2)**3*(i - 1)
Let p(z) be the third derivative of 0 - z**2 - 1/12*z**4 + 1/6*z**3 + 1/60*z**5 + 0*z. Factor p(r).
(r - 1)**2
Let d(m) be the third derivative of 0 + 0*m**3 + 1/120*m**6 + 1/30*m**5 + 1/24*m**4 + 0*m + 2*m**2. Factor d(l).
l*(l + 1)**2
Let f be -1 + -2 + 2 + 5. Let i(z) be the second derivative of 1/80*z**5 - 1/120*z**6 - z + 0*z**f + 0*z**3 + 0*z**2 + 0. Factor i(j).
-j**3*(j - 1)/4
Factor 3*c**2 - 5*c**2 - 8*c**3 + 6*c**3 + 2*c + 2*c**4.
2*c*(c - 1)**2*(c + 1)
Let q(a) = -3*a - a + 2*a**2 + 3*a**3 - 2*a**2 + 3*a**2. Let j(k) = -4*k**3 - 4*k**2 + 5*k. Let z(v) = -4*j(v) - 5*q(v). Factor z(w).
w**2*(w + 1)
Let c(d) be the first derivative of d**7/105 - d**6/30 + d**4/6 - d**3/3 - 3*d**2/2 + 6. Let l(n) be the second derivative of c(n). Factor l(f).
2*(f - 1)**3*(f + 1)
Factor 76/3*w**3 + 722*w**2 + 27436/3*w + 1/3*w**4 + 130321/3.
(w + 19)**4/3
Suppose -6*c + 60 = 6*c. Suppose 0*k + 2/9*k**c + 0 - 2/9*k**3 + 2/9*k**4 - 2/9*k**2 = 0. What is k?
-1, 0, 1
What is v in -6 - 50*v**2 - 25*v**3 - 26*v**2 + 26*v**2 - 27*v - 8*v - 4*v**4 = 0?
-3, -2, -1, -1/4
Let d be ((-6)/(-9))/(4/16). Let 8/3 - d*z + 2/3*z**2 = 0. Calculate z.
2
Solve 0*x + 9/2*x**3 + 3*x**2 + 0*x**4 + 0 - 3/2*x**5 = 0.
-1, 0, 2
Let v(n) be the first derivative of 2*n**3/3 - n**2 - 26. Factor v(t).
2*t*(t - 1)
Find w such that 0 - 4 - w**2 + 5 = 0.
-1, 1
Suppose -15 = -3*x - 0*x. Suppose -x*g - 6 = -16. Factor -1/4*p**g + p**3 + 1/4 - p.
(p - 1)*(p + 1)*(4*p - 1)/4
Let y(t) be the second derivative of t**7/14 - t**6/10 - 3*t**5/20 + t**4/4 + t. Factor y(d).
3*d**2*(d - 1)**2*(d + 1)
Let h(v) = -2 - v**2 - 6*v + 0*v**2 + 0*v. Let u be h(-5). Factor -o**u + 3*o**4 + 0*o**4 - 7*o**2 - 2*o + 7*o**4.
o*(o - 1)*(2*o + 1)*(5*o + 2)
Let i(h) be the second derivative of -h**5/40 + h**4/32 + h**3/8 - 5*h**2/2 - h. Let y(a) be the first derivative of i(a). Find s, given that y(s) = 0.
-1/2, 1
Let i(r) = 7*r**2 + 2*r + 5. Let x be (-10)/15 + 34/6. Let g(w) = -20*w**2 - 7*w + 0*w - 14 + w. Let h(q) = x*g(q) + 14*i(q). Let h(a) = 0. Calculate a.
-1, 0
Let u(h) be the first derivative of -h**4/4 - h**3/2 - 4*h + 2. Let f(p) be the first derivative of u(p). Factor f(r).
-3*r*(r + 1)
Let n(c) be the second derivative of c**4/16 - 5*c**3/8 + 9*c**2/4 - 2*c - 6. Factor n(s).
3*(s - 3)*(s - 2)/4
Suppose -81*t**5 + 729/7*t**4 + 75/7*t**2 - 6/7*t + 0 - 351/7*t**3 = 0. What is t?
0, 2/7, 1/3
Suppose -3 + 3 = 11*d. Factor 1/7*y**3 + 1/7*y**4 + 0*y**2 + d*y + 0.
y**3*(y + 1)/7
Let n(z) be the first derivative of 1/10*z**5 + 0*z**2 - 1/6*z**3 + 0*z - 4 + 0*z**4. Factor n(v).
v**2*(v - 1)*(v + 1)/2
Let g(z) be the second derivative of 8*z**6/15 + 2*z**5/5 - 5*z**4/4 - 4*z**3/3 - z**2/2 - 5*z. Suppose g(k) = 0. Calculate k.
-1, -1/4, 1
Let z(r) be the second derivative of 0*r**4 + 0 + 1/60*r**6 + 0*r**5 + r - 1/70*r**7 + 0*r**3 + r**2. Let n(a) be the first derivative of z(a). Factor n(y).
-y**3*(3*y - 2)
Let n be (-2)/(-11) + 2370/1485. Let j(q) be the first derivative of 2/3*q**2 + 5/4*q**4 + 0*q + 1 + n*q**3. Factor j(m).
m*(3*m + 2)*(5*m + 2)/3
Factor 0*l**4 - 2/9*l + 4/9*l**3 + 0*l**2 - 2/9*l**5 + 0.
-2*l*(l - 1)**2*(l + 1)**2/9
Let n(o) be the second derivative of -o**5/100 + o**3/10 + o**2/5 + 3*o. What is s in n(s) = 0?
-1, 2
Let y be (-4)/((-1 - -2) + -3). Factor -4*f**3 - 2*f**4 - 26*f**2 + 6*f**3 + 30*f**y.
-2*f**2*(f - 2)*(f + 1)
Let g = 30/19 - 74/95. Suppose -2*h - h + 6 = 0. Factor 0*t - g*t**3 + 0 - 2/5*t**h + 6/5*t**4.
2*t**2*(t - 1)*(3*t + 1)/5
Let u(a) = a**2 + 4*a - 2. Let j be u(-5). Suppose 6 = j*v - 3. Find p, given that 4 - 3 - 2*p**2 + 5*p**2 - 3*p - p**v = 0.
1
Factor -4/7*m - 10/7*m**2 + 0 + 2*m**3.
2*m*(m - 1)*(7*m + 2)/7
Let u(i) be the first derivative of -i**7/14 + i**6/5 - 3*i**5/20 + 2*i - 3. Let a(h) be the first derivative of u(h). What is t in a(t) = 0?
0, 1
Factor 0*x**3 + 0*x + 1/3 + 1/3*x**4 - 2/3*x**2.
(x - 1)**2*(x + 1)**2/3
Let k(m) = m**5 - m + 1. Let x(f) = -5*f**5 + 7*f**4 - 18*f**3 + 20*f**2 - 4*f - 4. Let v(d) = -20*k(d) - 5*x(d). Determine g so that v(g) = 0.
0, 1, 2
Let v be (-2)/(-3)*9/2. Factor -g + 3*g**2 + g**3 + 2*g**v + 2*g + 3*g**4 - 2*g**4.
g*(g + 1)**3
Let -2*d**2 - 8*d + 8*d + 2*d**4 = 0. What is d?
-1, 0, 1
Let n(u) be the first derivative of -u**4/12 + 4*u**3/9 - 5*u**2/6 + 2*u/3 + 19. Determine v so that n(v) = 0.
1, 2
Let l be (8/(-30))/(((-32)/6)/8). Suppose -2*z = -5*f + 14, -2 = -3*f - 0*z - 2*z. Factor l*v + 2/5*v**f - 2/5 - 2/5*v**3.
-2*(v - 1)**2*(v + 1)/5
Let c(w) be the third derivative of -w**5/20 + w**4/4 - w**3/2 + 16*w**2. Determine r so that c(r) = 0.
1
Let x(t) be the third derivative of 0*t + 0*t**3 + 0*t**4 - 8*t**2 + 0 - 1/20*t**5 + 1/40*t**6. Factor x(j).
3*j**2*(j - 1)
Let p(t) be the first derivative of t**6/6 + 3*t**5/5 + t**4/2 - 2*t**3/3 - 3*t**2/2 - t + 2. Factor p(q).
(q - 1)*(q + 1)**4
Let f(u) be the second derivative of -21*u**5/20 - u**4/4 + 7*u**3/2