olve u(c) = 0 for c.
-3, 0, 2
Let r(u) = 5*u - 1. Let t(o) = 4*o. Let x(h) = 3*r(h) - 4*t(h). Let k be x(-7). Factor -2*n**4 + 2*n - 3*n**3 + 4*n**k + n**3 - 2*n**2.
2*n*(n - 1)**2*(n + 1)
Let p(v) be the third derivative of v**7/1575 + v**6/900 - v**5/150 - v**4/36 - 2*v**3/45 - 6*v**2. Solve p(o) = 0.
-1, 2
Let l = -311 + 313. Find w such that w**5 - 2*w**3 + w - w**l + 1/2*w**4 + 1/2 = 0.
-1, -1/2, 1
Factor 3*h + 0*h**3 - 4*h - h - 6*h**2 + 4 + 2*h**3 + 2*h**4.
2*(h - 1)**2*(h + 1)*(h + 2)
Suppose 13 = -4*x - 5*r, x - 2 - 6 = r. Factor 4*p**3 + 2*p - x*p + 3*p**3 - 6*p**3.
p*(p - 1)*(p + 1)
Let l(d) = 2*d**4 - d**3 - 3*d**2 + 5*d. Let c(a) = -a**4 + a**3 + 2*a**2 - 3*a. Let x(z) = -5*c(z) - 3*l(z). Factor x(b).
-b**2*(b + 1)**2
Let r be -1*(1 + 3/(-2)). Factor 0 + r*n - 5/2*n**2.
-n*(5*n - 1)/2
Factor -3/4*i**3 + 0 + 3/8*i**2 + 9/8*i.
-3*i*(i + 1)*(2*i - 3)/8
Suppose i - 3 = -0. What is a in 2*a**3 + a**i + 3*a - 6*a**3 = 0?
-1, 0, 1
Let j be 1/(-2)*(2 + 2). Let x be 3/18*j*-6. Factor 1/2*y**3 + 1/2*y**x - 1/2*y - 1/2.
(y - 1)*(y + 1)**2/2
Suppose 4*h + 11 = 59. Let w be 3/h + (-1)/(-4). Let -w*z**2 + 1/2*z**4 + 1/2*z**3 - 1/2*z + 0 = 0. Calculate z.
-1, 0, 1
Let h be 3 - (498/78 - (-3 + 7)). Factor 8/13 + h*m + 2/13*m**2.
2*(m + 2)**2/13
Let d(t) = t**2 - t. Let f(a) = -29*a + 26*a - 2*a**2 + 2*a**2 + a**2 + 2. Let i(w) = d(w) + f(w). Factor i(z).
2*(z - 1)**2
Let z(i) be the third derivative of -i**6/160 + 3*i**5/80 + i**4/32 - 3*i**3/8 - 5*i**2. Factor z(n).
-3*(n - 3)*(n - 1)*(n + 1)/4
Let r(u) be the second derivative of u**4/3 + 16*u**3/3 + 32*u**2 + 9*u. Let r(c) = 0. Calculate c.
-4
Let m(f) be the second derivative of 0 + 0*f**2 - 1/70*f**7 + 4/75*f**6 + 6*f + 1/30*f**3 + 0*f**4 - 3/50*f**5. Determine x so that m(x) = 0.
-1/3, 0, 1
Let p(m) be the first derivative of 4*m**3/21 + 12*m**2/7 + 32*m/7 + 34. Solve p(a) = 0.
-4, -2
Factor 1/5*j**5 + 14/5*j**3 + 2/5 + 6/5*j**4 + 16/5*j**2 + 9/5*j.
(j + 1)**4*(j + 2)/5
Let q(i) be the third derivative of 7*i**5/150 - 19*i**4/60 - 2*i**3/5 + 18*i**2. Find a such that q(a) = 0.
-2/7, 3
Let l(g) be the first derivative of -5*g**4/4 + 5*g**3/3 + 5*g**2/2 - 5*g - 1. Factor l(k).
-5*(k - 1)**2*(k + 1)
Solve 0*k - 32/3*k**3 + 0 + 8/3*k**2 + 14/3*k**4 = 0 for k.
0, 2/7, 2
Let d be 0/(-3) - 1*-3. Factor 4*r**2 + 3*r**d - 3*r**2 - 2*r**2.
r**2*(3*r - 1)
Solve 20*b - 313*b**2 - 4 + 592*b**2 - 295*b**2 = 0 for b.
1/4, 1
Let d(t) = -8*t**2 + t + 1. Let a be d(1). Let y be a*3/12*-2. Solve 1/3*k**4 + 2/3*k**y + 0 - 2/3*k - 1/3*k**2 = 0 for k.
-2, -1, 0, 1
Let z(r) = 7*r**3 + 8*r**2 + 15*r + 10. Let m(l) = -20*l**3 - 25*l**2 - 45*l - 29. Let a(q) = -4*m(q) - 11*z(q). Factor a(v).
3*(v + 1)**2*(v + 2)
Let l(k) be the first derivative of 5*k**4/4 - 6*k**3 + 6*k**2 + 8*k + 1. Factor l(b).
(b - 2)**2*(5*b + 2)
What is w in -1/3*w**2 + 0 - w = 0?
-3, 0
Let d(k) be the second derivative of -k**4/60 + 2*k**3/5 - 18*k**2/5 - 25*k. Factor d(o).
-(o - 6)**2/5
Let b(h) = -h**2 - 4*h + 7. Let i be b(-6). Let m(a) = -2*a - 6. Let v be m(i). Let -4*w**3 + 2*w**v - 5*w**2 + 0*w**2 + 3*w**2 + 4*w**2 = 0. What is w?
0, 1
Let b(z) = z**3 - 6*z**2 - z + 6. Let c = -22 - -28. Let k be b(c). Suppose 0*j + k + j**3 + 1/3*j**2 = 0. Calculate j.
-1/3, 0
Let -813*g**2 - 3*g**4 + 9*g**3 + 6*g**3 + 831*g**2 = 0. Calculate g.
-1, 0, 6
Let l = -204 + 208. Find i such that 2/5*i**2 - 2/5*i**l + 4/5*i + 0 - 4/5*i**3 = 0.
-2, -1, 0, 1
Let -1 - 5/4*s**2 - 1/4*s**3 - 2*s = 0. Calculate s.
-2, -1
Let o = -1 - -3. Suppose -o*k + 2*m - 4 = 0, -2*m = -2*k + k - 7. Factor 1 - 3/2*c - c**2 + 3/2*c**k.
(c - 1)*(c + 1)*(3*c - 2)/2
Let r(p) be the third derivative of -4/735*p**7 + 0*p**4 - 1/392*p**8 + 1/420*p**6 + 0*p - 4*p**2 + 1/105*p**5 + 0 + 0*p**3. Factor r(g).
-2*g**2*(g + 1)**2*(3*g - 2)/7
Suppose 0 = -2*v - 5*n - 10, 0 = -4*v - 4*n + 4 - 12. Find d such that 4*d**3 - 3*d**2 - d**3 + 3 + v*d - 3*d = 0.
-1, 1
Let c(z) be the third derivative of z**7/280 - 3*z**6/160 + 3*z**5/80 - z**4/32 + z**2. Factor c(f).
3*f*(f - 1)**3/4
Let i be 6/((-6)/9*3). Let t be 3 - i/(-10)*2. Factor 3/5*l**2 - 12/5*l + t.
3*(l - 2)**2/5
Factor -5/8*r - 1/4 - 3/8*r**2.
-(r + 1)*(3*r + 2)/8
Suppose 4*o - 3*j = 7, 2*j + 17 = 2*o + 5*j. Suppose 16*g + 2 + 4*g**o - 6*g**2 - 14*g**3 - 10*g + 2 - 10*g**4 = 0. What is g?
-1, 2/3
Let -4/5*s**3 - 2/5*s**4 + 0 + 0*s - 2/5*s**2 = 0. Calculate s.
-1, 0
Let y(k) be the second derivative of -k + 2/9*k**2 + 0*k**4 - 1/9*k**3 + 0 + 1/90*k**5. Factor y(i).
2*(i - 1)**2*(i + 2)/9
Let v(u) be the third derivative of -2/9*u**3 - 5/36*u**4 - 1/30*u**5 + 0*u - 2*u**2 + 1/315*u**7 + 1/180*u**6 + 0. Factor v(y).
2*(y - 2)*(y + 1)**3/3
Suppose 8 + 12 = -3*l + 4*w, 4*w = l + 20. Factor 0*g + l - 2/5*g**2.
-2*g**2/5
Let u(f) be the second derivative of 0*f**2 + 4*f + 0 - 2/33*f**3 - 1/22*f**4 + 1/165*f**6 + 0*f**5. Let u(r) = 0. Calculate r.
-1, 0, 2
Let c(y) = -y**3 - 6*y**2 + 5*y - 12. Let f be c(-7). Let 5/2*s**f + 4*s**3 + 1/2*s + 0 + 2*s**4 = 0. What is s?
-1, -1/2, 0
Let h(a) be the second derivative of a**5/20 + a**4/3 + a**3/3 - a. Let m be h(-3). Factor -2*g + 5*g**4 - 2*g**2 + 0*g**4 - 3*g**4 + 2*g**m.
2*g*(g - 1)*(g + 1)**2
Let b(t) be the third derivative of t**7/2520 - t**6/1080 - t**5/180 - t**3 - 5*t**2. Let m(w) be the first derivative of b(w). Factor m(f).
f*(f - 2)*(f + 1)/3
Let w(p) be the second derivative of 0*p**2 + 0*p**3 + 0 - 1/24*p**4 + p. Determine g so that w(g) = 0.
0
Let q = 908037/7 + -129454. Let h = q - 265. Factor -4/7*l**2 - 10/7*l + 10/7*l**3 + h.
2*(l - 1)*(l + 1)*(5*l - 2)/7
Let n(d) be the first derivative of d**8/5880 + d**7/2940 - 7*d**3/3 + 1. Let i(z) be the third derivative of n(z). What is a in i(a) = 0?
-1, 0
Let u(p) = 6*p**4 - 3*p**3 + 6*p**2. Let i(w) = w**4 - w**3 + w**2. Let v(o) = -9*i(o) + u(o). Factor v(q).
-3*q**2*(q - 1)**2
Suppose -q = -3*r + 9, 4*r + q + 5 - 17 = 0. Let z(o) = o + 1. Let w be z(-1). Determine b so that -1/2*b**4 + 0*b + w + 1/2*b**r + 0*b**2 = 0.
0, 1
Let r(q) be the first derivative of 0*q**2 + 0*q - 2 + 0*q**3 + 2/15*q**5 - 1/3*q**4. Let r(u) = 0. What is u?
0, 2
Let r(f) be the first derivative of -f**7/70 + f**6/20 + 3*f**5/20 - f**4/2 - 2*f**3 - 2*f**2 - 2. Let n(t) be the second derivative of r(t). Factor n(o).
-3*(o - 2)**2*(o + 1)**2
Let v(k) be the second derivative of -2/7*k**3 + 0 - 1/42*k**4 - 9/7*k**2 - k. What is q in v(q) = 0?
-3
Factor -2*h**3 + 30*h + 242 + 23*h**2 + 6*h**3 - 251.
(h + 3)**2*(4*h - 1)
Suppose 4/9*w**2 + 0*w**4 - 2/3*w - 4/9 + 8/9*w**3 - 2/9*w**5 = 0. What is w?
-1, 1, 2
Let v = 2 + 3. Suppose -3*s - 4*f + 5*f = -3, -2*s + v*f - 11 = 0. Factor -3*k + 4*k + 0*k + 0*k + k**s.
k*(k + 1)
Let 11 + 8*c**2 - 28*c + 7*c**3 - 3*c**3 + 5 = 0. What is c?
-4, 1
Let f(q) = -q**2 - 5*q - 3. Let n be f(-3). Suppose 0 = n*i - 4 - 5. Factor 2*d - 15*d**2 + 2 + 2*d**3 - 4*d**i + 13*d**2.
-2*(d - 1)*(d + 1)**2
Factor 1/4*j + 1/8*j**2 + 1/8.
(j + 1)**2/8
Let b(p) be the third derivative of p**8/336 + p**7/42 + p**6/12 + p**5/6 + 5*p**4/24 + p**3/6 - p**2. Let b(x) = 0. What is x?
-1
Let t(j) be the third derivative of -j**7/45 - j**6/15 - j**5/30 + j**4/18 - 11*j**2. Find d, given that t(d) = 0.
-1, 0, 2/7
Let g(t) be the third derivative of -t**5/270 + 4*t**3/27 + 19*t**2. Factor g(c).
-2*(c - 2)*(c + 2)/9
Let y = -143/2 - -73. Suppose 6*m**2 - y*m**3 - 6*m + 0 = 0. Calculate m.
0, 2
Factor -6*s - 8 - 12*s**2 + 8 + 3*s**2 + 3*s**4.
3*s*(s - 2)*(s + 1)**2
Suppose 2*a + 2*t = 10, -2*t + 0*t + 40 = 5*a. Let h be (6/15)/(2/a). Factor -2*s**3 + 4*s - 6*s + 2 + 4*s - h*s**2.
-2*(s - 1)*(s + 1)**2
Suppose 32/7*h + 0 - 24*h**3 - 80/7*h**2 - 92/7*h**4 - 16/7*h**5 = 0. Calculate h.
-2, 0, 1/4
Suppose 4*x - 28 = -5*q + 3*x, -4*x = 4*q - 32. Let d(s) be the third derivative of 0*s + 2*s**2 + 0*s**3 + 1/60*s**q + 0 + 1/24*s**4. Factor d(z).
z*(z + 1)
Let x(f) = -f + 4. Let s be x(-4). Suppose -3*r + 17 = s. Let -2/5*h - 6/5*h**2 + 0 - 2/5*h**4 - 6/5*h**r = 0. What is h?
-1, 0
Suppose 3*a - 3*n = -9, a + 167*n - 9 = 164*n. Determine g so that g**2 - 1/2*g + a - 1/2*g**3 = 0.
0, 1
Let b be (9 + -5)*6/8. Let y be (-2)/(-1 - 5/2). Find h such that 0 + 24/7*h**b + y*h - 18/7*h**2 - 10/7*h**4 = 0.
0, 2/5, 1
Let v(n) be the first derivative of 0*n + 1/21*n**6 + 1/14