0*h**5 + 1/2*h**q + 0 + 0*h - 2*h**2 + 3*h**3. Factor f(c).
2*(c + 3)**2
Suppose -j - a + 2 + 0 = 0, -5*a = 0. Factor 54 - j*s + s**2 - 54.
s*(s - 2)
Let j(i) = -i + 2. Let z(v) = 1. Let t(f) = -j(f) - 5*z(f). Let h be t(7). Let -8*b**2 - 2*b**3 + 3*b + h*b - 6*b - 5*b = 0. Calculate b.
-2, 0
Suppose 6*f = 7*f - 2. Solve -6/7*r**4 - 10/7*r**3 + 6/7*r**f + 8/7*r**5 + 0 + 2/7*r = 0 for r.
-1, -1/4, 0, 1
Solve -18*y - 38*y + 260*y - 867 - 12*y**2 = 0.
17/2
Let r = 13 - 9. Suppose 2*d - 3*d**4 + 10*d**2 + 8*d**5 + 0*d**4 - 7*d**r - 4*d - 6*d**3 = 0. Calculate d.
-1, 0, 1/4, 1
Suppose 25*l**4 + 45*l**3 + 3*l**5 - 4*l**5 + 9*l + l + 35*l**2 + 6*l**5 = 0. What is l?
-2, -1, 0
Suppose -41*u = -21*u - 80. Determine g, given that -11/3*g**3 + 2/3*g + 4/3*g**u + 5/3*g**2 + 0 = 0.
-1/4, 0, 1, 2
Let z(c) be the first derivative of 1/21*c**6 - 3 - 1/7*c**4 - 2/35*c**5 + 1/7*c**2 - 2/7*c + 4/21*c**3. Factor z(p).
2*(p - 1)**3*(p + 1)**2/7
Let a = -40 + 26. Let r be 2 + ((-24)/a)/(-1). Factor -r*s**2 + 6/7*s - 4/7.
-2*(s - 2)*(s - 1)/7
Suppose 5*i + 24 = 34. Solve -1/3*d**i + 0*d + 0 = 0.
0
Let c(w) be the first derivative of -5*w**3/3 + 11. Suppose c(v) = 0. Calculate v.
0
Let b(v) be the third derivative of -v**8/112 - v**7/10 + v**6/8 + 71*v**5/20 - 5*v**4 - 50*v**3 + 27*v**2. Determine i so that b(i) = 0.
-5, -1, 2
Suppose -3 = 4*h - 19. Let i be h/(-8) - (-9)/2. Factor -n**3 - 6*n**2 + 0*n**i + 4*n**2 + n**5 - n**4 + 3*n**2.
n**2*(n - 1)**2*(n + 1)
Let s(g) be the third derivative of 0 + 0*g - 2*g**2 - 1/11*g**3 - 1/66*g**4 + 1/330*g**5. What is x in s(x) = 0?
-1, 3
Determine d so that -7/2*d**2 - 1/4*d**5 - 2*d**4 - 21/4*d**3 + 5*d + 6 = 0.
-3, -2, 1
Let c be 232/832 - (-2)/(-13). Let h(y) be the first derivative of 1/4*y - c*y**2 - 1/12*y**3 + 1/16*y**4 + 1. Factor h(a).
(a - 1)**2*(a + 1)/4
Determine y, given that -8/17 - 10/17*y**2 + 32/17*y - 14/17*y**3 = 0.
-2, 2/7, 1
Suppose 0*m**2 - m**2 + 0*m**2 - 2*m**2 + 3*m**4 = 0. Calculate m.
-1, 0, 1
Suppose d + 2*d = 3*o + 9, -5*o + 25 = 3*d. Suppose n + 9 = -2*n, 0 = -5*a - d*n - 5. Factor -1/2*v - 3/4*v**5 - 9/4*v**a - 15/4*v**3 - 11/4*v**4 + 0.
-v*(v + 1)**3*(3*v + 2)/4
Let q(p) be the third derivative of -p**2 + 0*p - 2/105*p**7 + 1/15*p**6 + 0*p**5 - 1/3*p**4 + 0 + 2/3*p**3. Let q(r) = 0. Calculate r.
-1, 1
Let f be (-35)/(-2)*(-14)/(-130). Let n = -5/13 + f. Factor -o**3 - 1/2 + 3/4*o**5 - o**4 + n*o**2 + 1/4*o.
(o - 1)**3*(o + 1)*(3*o + 2)/4
Suppose s - 15 = -2*s. Suppose 3*o = -2*r - 1, -2*r - 6 - 1 = s*o. Factor 0 + 2*t**r + 2/3*t**2 - 2*t**3 - 2/3*t**5 + 0*t.
-2*t**2*(t - 1)**3/3
What is j in 0 - 1/3*j**2 + 4/3*j = 0?
0, 4
Let w(k) = -k**3 - k**2 + k. Let x(j) = -2*j - 6*j**3 + 0*j + 6*j - 2*j**2. Let f(y) = -4*w(y) + x(y). Factor f(u).
-2*u**2*(u - 1)
Let t(v) be the first derivative of 5/4*v**4 + 3 + 8/5*v**5 + 1/3*v**3 + 2/3*v**6 + 0*v**2 + 0*v. Suppose t(p) = 0. What is p?
-1, -1/2, 0
Let v(g) be the first derivative of -g**6/480 + g**4/96 - 5*g**2 - 1. Let n(r) be the second derivative of v(r). Let n(z) = 0. What is z?
-1, 0, 1
Let z be 0/(-3 - (-15)/(3/1)). Factor 0*w + 3/2*w**4 + 3*w**3 + z + 3/2*w**2.
3*w**2*(w + 1)**2/2
Factor -11*v + 6 - 2*v + 4*v + 4*v**2 - v**2.
3*(v - 2)*(v - 1)
Factor 3*z - 3*z**4 - 34*z**3 - 12*z**2 + 46*z**3 - 3*z.
-3*z**2*(z - 2)**2
Suppose -1/3*m - 1/3*m**2 + 2/3 = 0. Calculate m.
-2, 1
Let r(w) = -w**3 + w**2. Let v(k) = 3*k**3 - 2*k**2 - k. Let n(i) = -4*r(i) - v(i). What is d in n(d) = 0?
0, 1
Let z(c) = 3*c + 2. Let k be z(2). Suppose m - k = -3*m. Find u, given that u**2 + 1 - 2*u + u**2 - u**m = 0.
1
Let l(i) be the first derivative of i**3/9 - i**2/6 - 2*i/3 - 27. Factor l(d).
(d - 2)*(d + 1)/3
Let f = -1/26 + 57/130. Let s be (-26)/(-10) - 2/2. Factor -f*j**4 - 12/5*j**2 - 2/5 + s*j**3 + 8/5*j.
-2*(j - 1)**4/5
Let a(m) be the first derivative of -1/10*m**4 - 4 - 3*m**2 - 18/5*m - 14/15*m**3. Factor a(y).
-2*(y + 1)*(y + 3)**2/5
Suppose 0*a - 6 = -3*a. Let d(f) be the third derivative of 1/50*f**5 + f**a + 1/30*f**4 + 0*f + 0 + 0*f**3. Find r, given that d(r) = 0.
-2/3, 0
Suppose -2*l + 15 = -l + 3*i, -22 = -2*l - 4*i. Factor p**l + 4*p**3 - p**3 + 4*p**4.
4*p**3*(p + 1)
Let f = 4 + 0. Suppose -n - d = -12, f*n = -0*n + 2*d + 48. Factor 1 + 6*s**3 - 9 - n*s**3 + 14*s**2.
-2*(s - 2)*(s - 1)*(3*s + 2)
Let b(p) be the first derivative of -1 - 1/6*p**3 - 3/4*p**2 - p. Solve b(f) = 0.
-2, -1
Suppose -32*q - 8 = -36*q. Let g(p) = p**2 + p + 4. Let m be g(0). Factor 68/5*o**q + 0 + 55*o**m + 42*o**3 + 25*o**5 + 8/5*o.
o*(o + 1)*(5*o + 2)**3/5
Factor 1/3*a**3 + 1/3*a**5 + 0 - 2/3*a + a**2 - a**4.
a*(a - 2)*(a - 1)**2*(a + 1)/3
Let w be (1 - 0) + (-5)/(-15)*-3. Let c(r) be the second derivative of -1/20*r**5 - 1/30*r**6 + 0*r**2 + 0*r**4 + w + r + 0*r**3. Factor c(i).
-i**3*(i + 1)
Let f = 2 - 119/60. Let c(t) be the third derivative of -f*t**4 + 0*t + 1/200*t**6 + 0 + 0*t**3 + t**2 - 1/300*t**5. Factor c(a).
a*(a - 1)*(3*a + 2)/5
Suppose 27 = 7*i + 2*i. Let j(k) be the second derivative of 0 - 1/50*k**5 - k + 1/15*k**i + 1/30*k**4 - 1/5*k**2. Suppose j(w) = 0. Calculate w.
-1, 1
Let z = -3 - 7. Let y be -3 + 1/z*-34. Find h such that -2/5*h**4 + 0 + 2/5*h**3 + 2/5*h**2 - y*h = 0.
-1, 0, 1
Let r(y) = -y**2 + 2*y - 1. Let a be 1 + -1 - (-4 + 0). Let i(v) = a*v**2 - 2*v**2 + 2 - 5*v + v**2. Let m(f) = 2*i(f) + 5*r(f). Suppose m(n) = 0. What is n?
-1, 1
Let g(c) = -16*c**3 + 9*c**2 - 7*c - 7. Let q(j) = 11*j**3 - 6*j**2 + 5*j + 5. Suppose 2*l - 5 = 3*l. Let y(r) = l*g(r) - 7*q(r). Factor y(b).
3*b**2*(b - 1)
Let x(n) = -n**2 - 4*n - 1. Let g(t) = 6*t**2 + 21*t + 6. Let q(b) = -4*g(b) - 22*x(b). Let q(y) = 0. What is y?
1
Let s(n) be the first derivative of -7*n**4/16 - 5*n**3/12 + n**2/4 - 3. Let s(x) = 0. Calculate x.
-1, 0, 2/7
Let o(f) be the second derivative of f**6/360 - f**4/24 + 4*f**3/3 - 7*f. Let y(g) be the second derivative of o(g). Factor y(q).
(q - 1)*(q + 1)
Let f(v) be the third derivative of v**5/240 + 11*v**4/48 + 121*v**3/24 - 4*v**2. Factor f(q).
(q + 11)**2/4
Let f(m) be the second derivative of 0 + 4*m + 1/15*m**5 - 7/18*m**4 + 7/9*m**3 - 2/3*m**2. Factor f(g).
2*(g - 2)*(g - 1)*(2*g - 1)/3
Let k(l) be the second derivative of -l**6/75 - l**5/50 + l**4/30 + l**3/15 + 4*l. Factor k(s).
-2*s*(s - 1)*(s + 1)**2/5
Factor 16/7 + 24/7*g + 12/7*g**2 + 2/7*g**3.
2*(g + 2)**3/7
Let w = 0 + -7. Let c be w/(-2) + (-2)/4. Let -d**2 + 2*d**2 - 2*d + c - 2 = 0. What is d?
1
Suppose -68*u + 63*u = 0. Factor 1/4*g**2 + 1/2*g**3 + 0 + u*g + 1/4*g**4.
g**2*(g + 1)**2/4
Let l(r) be the first derivative of r**4/10 + 8*r**3/15 + 3*r**2/5 + 3. What is n in l(n) = 0?
-3, -1, 0
Let f be ((-6)/40)/(1 - 55/10). Let w(c) be the second derivative of f*c**6 - 2*c + 0*c**3 + 0*c**2 + 1/12*c**4 + 0 - 1/10*c**5. Factor w(s).
s**2*(s - 1)**2
Let c(a) be the third derivative of -5*a**2 - 1/32*a**4 - 1/80*a**5 + 0*a + 0 - 1/480*a**6 - 1/24*a**3. Solve c(b) = 0.
-1
Suppose -9/7 - 3/7*j**2 + 15/7*j - 3/7*j**3 = 0. Calculate j.
-3, 1
Suppose -21*b - 6*b + 54 = 0. Let 4/3*p + 4/3 + 1/3*p**b = 0. What is p?
-2
Let k(m) be the third derivative of -m**8/192 + 11*m**7/280 - 13*m**6/160 + 7*m**5/240 + m**4/16 - 15*m**2. Suppose k(v) = 0. Calculate v.
-2/7, 0, 1, 3
Let m be ((-1 - -2) + -1)/2. Suppose -5*c + i + 28 = 3*i, 3*c + 5*i - 13 = m. Factor 3*o**2 - 2*o**3 + 2*o - 4*o**4 + c*o**4 - 6*o**2 + o**2.
2*o*(o - 1)**2*(o + 1)
Suppose 4*w - 7 = 1. Let i(r) be the first derivative of -w*r**2 + 8/3*r**3 - 1 + 1/2*r. Find x such that i(x) = 0.
1/4
Find d such that -2*d**3 + d + 0*d**3 - 2*d**3 + 3*d = 0.
-1, 0, 1
Let p = -92/39 - -35/13. What is k in 0*k**4 - 1/3*k**3 + 0 + 0*k**2 + p*k**5 + 0*k = 0?
-1, 0, 1
Let z(c) be the second derivative of c**5/10 + c**4/10 - 2*c**3/15 + 14*c. Factor z(g).
2*g*(g + 1)*(5*g - 2)/5
Suppose 3*g = 7 - 28. Let t(p) = 2*p + 17. Let c be t(g). Factor 0 + 0*h + 2*h**4 - 4/3*h**c + 0*h**2 - 2/3*h**5.
-2*h**3*(h - 2)*(h - 1)/3
Suppose 0 = 2*m + 2*x - 4 + 8, x = 3*m + 6. Let w be (-2 - 6/3)/m. Determine o, given that 4*o**2 - 3*o**2 - 3*o**w + 2*o = 0.
0, 1
Let w be (-228)/84 + -1 + 4. Let f = 10 - 7. Factor w*k**f - 4/7*k**2 + 0 + 0*k.
2*k**2*(k - 2)/7
Determine f so that 8/5*f**4 - 8/5*f + 0 - 6/5*f**5 - 8/5*f**2 + 14/5*f**3 = 0.
-1, -2/3, 0, 1, 2
Let x(t)