- 12*b**3 + 14*b**2. Let o(x) = -11*r(x) + 4*u(x). Factor o(f).
f**2*(f - 1)*(f + 1)*(4*f - 1)
Let c = 7 + -4. Find s, given that -3*s**c - s + 1 + 5*s**3 - s**3 - s**2 = 0.
-1, 1
Let d(i) be the third derivative of -i**5/300 + 3*i**4/20 - 27*i**3/10 - 38*i**2. Factor d(c).
-(c - 9)**2/5
Let f = -711/5 + 143. Suppose -18/5*b**2 + 22/5*b - f = 0. What is b?
2/9, 1
Suppose 6*p = 2*p - 2*m + 46, -2*p = 5*m - 11. Suppose 0 = -p*a + 8*a. Factor a + 2/5*x**2 + 4/5*x.
2*x*(x + 2)/5
Let q(k) be the first derivative of 32*k - 6 + 48*k**2 + 1/3*k**6 + 16*k**4 + 18/5*k**5 + 112/3*k**3. Factor q(v).
2*(v + 1)*(v + 2)**4
Let j(c) be the third derivative of 1/150*c**5 + c**2 + 0*c + 0 + 1/60*c**4 + 0*c**3. Factor j(d).
2*d*(d + 1)/5
Suppose 0*u**2 - 8*u**2 + 2*u**2 - 3*u**3 = 0. Calculate u.
-2, 0
Let d(u) = -u**2 + 10*u - 13. Let a be d(9). Let y = -2 - a. Factor -6/5*v**3 - 2/5*v**y - 2/5*v**5 + 0*v - 6/5*v**4 + 0.
-2*v**2*(v + 1)**3/5
Let w = 53 + -207/4. Let q(t) be the first derivative of 5/8*t**4 - 1/6*t**3 + 1 - t + 3/10*t**5 - w*t**2. Factor q(x).
(x - 1)*(x + 1)**2*(3*x + 2)/2
Let y(j) be the first derivative of -j**5/20 + j**3/12 + 6. Let y(f) = 0. What is f?
-1, 0, 1
Suppose -8*w = -4*w. Suppose w = 3*y - 3 - 3. What is d in d + d - 2*d**2 + 4*d**y = 0?
-1, 0
Let n(r) be the first derivative of 2/3*r**3 + 2 + 0*r - 2*r**2. Factor n(g).
2*g*(g - 2)
Let y(c) = 21*c**2 + 69*c - 90. Let t(g) = 3*g**2 + 10*g - 13. Let q(s) = -27*t(s) + 4*y(s). Suppose q(p) = 0. Calculate p.
-3, 1
Suppose -3*l - 10 = 14. Let z = 11 + l. Find j, given that -j**3 - j + 0*j**2 + 2*j**z - j + j**2 = 0.
-2, 0, 1
Let a be 17/(-408)*2/(-9). Let s(i) be the third derivative of 0*i**3 - 1/270*i**5 + 0*i + 3*i**2 + 0 - a*i**4. Factor s(g).
-2*g*(g + 1)/9
Let j(i) be the first derivative of i**4 - 4*i**3 + 4*i**2 + 24. Determine n, given that j(n) = 0.
0, 1, 2
Let c(s) be the first derivative of -1/4*s**2 + 0*s + 1 + 1/6*s**3. Solve c(t) = 0.
0, 1
Let k(i) be the second derivative of i**4/6 - 5*i**3/12 + i**2/4 - 6*i. Find m, given that k(m) = 0.
1/4, 1
Let c be 2/(1 - -1) - -1. Let b be 2/(c - 16/10). Factor -m**2 + 2*m**4 - 2*m**b + m**2.
-2*m**4*(m - 1)
Suppose -26 + 6 = -4*d. Let j(n) be the second derivative of 0*n**3 + 1/45*n**6 - 1/18*n**4 + 0 + n + 0*n**d + 0*n**2. Suppose j(a) = 0. What is a?
-1, 0, 1
Let r(l) be the second derivative of -2*l + 0 - 5/48*l**3 - 1/24*l**4 - 1/16*l**2. Solve r(f) = 0 for f.
-1, -1/4
Let f(t) be the second derivative of t**7/4 + t**6/4 - 6*t**5/5 + t**4/2 + 9*t. Solve f(d) = 0.
-2, 0, 2/7, 1
Suppose -3*u = 5*v + 10, 5*u - 3*v = -v + 35. Suppose -6 = -u*f + 14. Factor 2*h**5 - 4*h**4 - h**f + 4*h**4 - 3*h**5.
-h**4*(h + 1)
Let k(o) be the second derivative of 4*o**6/195 + 9*o**5/130 - 7*o**4/39 - 12*o**3/13 - 8*o**2/13 - 64*o. What is j in k(j) = 0?
-2, -1/4, 2
Let d(g) = -2*g**2 - 3*g + 2*g - 5*g. Let i(o) = -o + 1. Let r(v) = -d(v) + 2*i(v). Factor r(x).
2*(x + 1)**2
Let t(u) be the first derivative of 0*u + 1 - 1/8*u**4 - 1/6*u**3 + 0*u**2. Find a such that t(a) = 0.
-1, 0
Let g be ((7/2)/(-7))/(-1). Factor 0 + 0*c + g*c**2.
c**2/2
Suppose 4*i - 24 = -4*p, 3*p - 7 - 7 = i. Let v be 1*2*i/1. Determine l, given that 1/2 - l + 1/2*l**v = 0.
1
Suppose -4*b + 8 = -t - 2*b, 2*b = 5*t. Suppose 2*p - 2 = t. Factor -2*o + o + p*o**2 - 2*o + o.
2*o*(o - 1)
Find w, given that 2/9*w + 22/9*w**3 - 2/9 + 2*w**2 + 8/9*w**4 = 0.
-1, 1/4
Let r(b) be the second derivative of b - 1/42*b**4 + 1/35*b**5 + 0 - 1/105*b**6 + 0*b**3 + 0*b**2. Factor r(z).
-2*z**2*(z - 1)**2/7
Let m = -92 + 462/5. Determine z so that 0*z - 2/5 + m*z**2 = 0.
-1, 1
Find c such that -4/7*c**2 - 2/7*c + 2/7 = 0.
-1, 1/2
Suppose 2*l - 15 = -l. Suppose 39 = l*m - 1. Factor -6*g**3 + 13*g**3 + 4*g**4 + 3*g + m*g**2 + 3*g**3 - g.
2*g*(g + 1)**2*(2*g + 1)
Let l(n) be the second derivative of n**6/1980 - n**4/132 - n**3/3 - 3*n. Let o(q) be the second derivative of l(q). Solve o(h) = 0 for h.
-1, 1
Let y(i) be the third derivative of -i**10/60480 + i**8/13440 + i**4/12 - 2*i**2. Let c(q) be the second derivative of y(q). Factor c(x).
-x**3*(x - 1)*(x + 1)/2
Let z(k) be the third derivative of -k**6/240 + k**5/120 + k**4/24 - 10*k**2. Determine b, given that z(b) = 0.
-1, 0, 2
Factor -2/3*j**2 + 0 - 4/3*j + 2/3*j**3.
2*j*(j - 2)*(j + 1)/3
Let c(o) be the second derivative of 0 + o**2 - o - 2/3*o**4 + o**3. Factor c(j).
-2*(j - 1)*(4*j + 1)
Let r = -8 - -40. Factor -2*z - r*z**2 + 4 - 2*z**3 - 28*z**3 + 4*z.
-2*(z + 1)*(3*z - 1)*(5*z + 2)
Let l(c) be the third derivative of -c**8/80640 + c**7/20160 + c**6/1440 + c**5/10 + 4*c**2. Let u(q) be the third derivative of l(q). Factor u(s).
-(s - 2)*(s + 1)/4
Let u = -39 + 383/10. Let y = 1/20 - u. Factor -y*p**3 + 3/4*p - 3/4*p**4 + 0 + 3/4*p**2.
-3*p*(p - 1)*(p + 1)**2/4
Let w(x) = x**4 + 15*x**3 + 11*x**2 + x + 4. Let i(c) = -15*c**3 - 10*c**2 - 5. Let r(u) = 4*i(u) + 5*w(u). What is t in r(t) = 0?
-1, 0
Suppose 4*a = 4*j + 24, -8 = 2*a - 5*a - 2*j. Let -6/5*q**3 - 2/5*q - 2*q**2 + 0 + 18/5*q**a = 0. What is q?
-1/3, 0, 1
Let t(l) be the second derivative of -l**7/420 - l**6/60 - l**5/30 + l**3/3 - 2*l. Let c(s) be the second derivative of t(s). Factor c(v).
-2*v*(v + 1)*(v + 2)
Let c(o) be the second derivative of o**5/75 + o**4/30 - o**2/15 + 9*o. Find m such that c(m) = 0.
-1, 1/2
Let c be 1 - ((-3 - -6) + -5). Suppose 2*i**3 + i**c - 6*i - 234*i**2 + 237*i**2 = 0. What is i?
-2, 0, 1
Let p(v) = -v + 3. Let d be p(-7). Determine s, given that d*s**3 - 16*s**2 + 6 + 2*s + 2 - 4 = 0.
-2/5, 1
Let b(i) = -3*i**2 + 1. Let p(m) = 7*m**2 + m - 3. Let u(w) = 5*b(w) + 2*p(w). Factor u(o).
-(o - 1)**2
Let v(o) be the second derivative of 0 + 0*o**2 - 3*o + 1/3*o**4 + 2/3*o**3. Factor v(k).
4*k*(k + 1)
Let i = 11 + -1. Suppose 0 = -2*r + 7*r - i. Suppose 0 + 1/2*p + 3/2*p**r - 2*p**3 = 0. What is p?
-1/4, 0, 1
Let x(h) be the second derivative of h**7/56 + 3*h**6/40 + 3*h**5/40 - h**4/8 - 3*h**3/8 - 3*h**2/8 - 11*h. Factor x(f).
3*(f - 1)*(f + 1)**4/4
Solve 0*y + 0 - 9/5*y**2 - 3/5*y**3 = 0 for y.
-3, 0
Let k = -3/14 - -13/28. Factor 0*g**3 + 0 + 0*g - k*g**4 + 1/4*g**2.
-g**2*(g - 1)*(g + 1)/4
Let o(k) = -9*k**4 - 3*k**3 - 6*k**2. Let m(q) = 26*q**4 + 8*q**3 + 17*q**2. Let l(z) = -6*m(z) - 17*o(z). What is b in l(b) = 0?
0, 1
Suppose 1/2*n**5 + 0*n**3 + 0*n + 0*n**2 + 1/2*n**4 + 0 = 0. Calculate n.
-1, 0
Let f be (1 - 2) + 6 + -1. Determine c, given that -5*c**f - 2 + 4*c**2 + 0*c**4 + 3*c**4 = 0.
-1, 1
Factor -14/13*f + 16/13*f**2 + 0 - 2/13*f**3.
-2*f*(f - 7)*(f - 1)/13
Let o(a) be the third derivative of -6*a**2 - 117/40*a**6 + 0*a + 0*a**3 + 2*a**5 + 1/2*a**7 + 7/4*a**8 + 0 - 1/2*a**4. What is y in o(y) = 0?
-1, 0, 1/4, 2/7
Let g = 3 - 7. Let u(x) = x**4 - x**3 - x**2 + x. Let m(d) = -3*d**4 + 10*d**2 - 8*d + 1. Let c(q) = g*u(q) - m(q). Factor c(o).
-(o - 1)**4
Let c(w) = -3*w**3 - 12*w**2 + 2*w + 2. Let v(n) = 2*n**3 + 13*n**2 - 3*n - 3. Let j(i) = -3*c(i) - 2*v(i). Determine b so that j(b) = 0.
-2, 0
Suppose 0 = -3*d - 42 - 0. Let x = -14 - d. Factor 0*y**2 + 1/4*y**3 + x*y + 0.
y**3/4
Find x, given that 16/3*x**4 + 4/3*x**5 - 8/3 + 16/3*x**3 - 8/3*x**2 - 20/3*x = 0.
-2, -1, 1
Let s(n) be the third derivative of 0*n**4 + 1/240*n**6 + 0*n**3 + 1/420*n**7 + 3*n**2 + 0 + 1/2016*n**8 + 1/360*n**5 + 0*n. Let s(o) = 0. Calculate o.
-1, 0
Let s(l) be the second derivative of -l**6/480 + l**4/32 - l**3/6 + 2*l. Let c(x) be the second derivative of s(x). Factor c(b).
-3*(b - 1)*(b + 1)/4
Let x be ((-44)/8)/(-11)*1. Suppose -i**2 + 1/2*i + x = 0. What is i?
-1/2, 1
Let q = 791/316 - 20/79. Find s such that -3/2 - 3/4*s**4 + 3/4*s + q*s**2 - 3/4*s**3 = 0.
-2, -1, 1
Factor -6*t**2 + 73*t**3 - 77*t**3 + 0*t**4 + 2*t**4.
2*t**2*(t - 3)*(t + 1)
Let v(a) be the second derivative of 4/11*a**2 - 1/33*a**4 + 6*a + 7/33*a**3 + 0. Let v(w) = 0. What is w?
-1/2, 4
Let w be (-22)/110 + 1/5. Factor 1/3*r**2 - 1/3 + w*r.
(r - 1)*(r + 1)/3
Suppose 4*a + 18 = 2*d, -a - 2 - 1 = 0. Suppose -5 = -2*h - d. Let 2 + 3 - 2*u**4 - h + 6*u**2 + 10*u - 2*u**3 = 0. What is u?
-1, 2
Factor -2/11*t**3 - 4/11*t**2 + 16/11 + 8/11*t.
-2*(t - 2)*(t + 2)**2/11
Let z = -2 - -6. Let p(j) = -j**2 + 5*j. Let x be p(z). Suppose -g**5 - 6*g**3 + 4 + 5*g - x + 4*g**4 - 6*g + 4*g**2 = 0. What i