, 2
Let n = -1 + 7. Let i be (45/24)/(n/8). Solve -2*a - 8*a**2 + 25/2*a**4 - i*a**3 + 0 = 0.
-2/5, 0, 1
Suppose 0*g**2 - 2/3*g**3 + 2*g - 4/3 = 0. Calculate g.
-2, 1
Factor 2/3*y + 4/3*y**3 - 2*y**2 + 0.
2*y*(y - 1)*(2*y - 1)/3
Factor 332*m - 338*m - 21*m**2 + 0*m**5 - 15*m**4 - 3*m**5 - 27*m**3.
-3*m*(m + 1)**3*(m + 2)
Let f(o) = 9*o**3 - 9*o**2 + 18*o - 12. Suppose 12 = w + w. Let s(p) = p**3 + p**2 - p. Let a(u) = w*s(u) - f(u). Determine x so that a(x) = 0.
1, 2
Let x(k) be the first derivative of k**6/1440 - k**4/96 + k**3/3 + 3. Let j(g) be the third derivative of x(g). Factor j(q).
(q - 1)*(q + 1)/4
Let q = 3/4 - 3/20. What is w in 0 - q*w - 12/5*w**2 = 0?
-1/4, 0
Solve -2/7*z**3 + 2/7*z + 0 + 0*z**2 = 0 for z.
-1, 0, 1
Let b(y) = -y**2 - 2*y + 7*y - 3*y - y. Let s(x) = 2*x**2 - 2*x. Let w(r) = 5*b(r) + 3*s(r). Let w(o) = 0. What is o?
0, 1
Determine l so that -2/21*l**4 + 0*l**3 + 4/7*l**2 + 16/21*l + 2/7 = 0.
-1, 3
Let w(r) be the first derivative of -r**3/15 + r/5 - 1. Factor w(y).
-(y - 1)*(y + 1)/5
Let n(q) be the third derivative of q**11/1663200 - q**9/151200 + q**7/25200 + q**5/12 + 6*q**2. Let s(p) be the third derivative of n(p). Factor s(d).
d*(d - 1)**2*(d + 1)**2/5
Let x(m) be the second derivative of m**5/130 + m**4/39 + 9*m. Determine v, given that x(v) = 0.
-2, 0
Let a = 11 - 7. Factor -l**2 + 2*l**3 - l**5 + 0*l**2 - l**3 + l**a.
-l**2*(l - 1)**2*(l + 1)
Let k(a) be the first derivative of 7*a**3/3 - 5*a**2/2 - 2*a + 2. Find f such that k(f) = 0.
-2/7, 1
Let k be (-18)/9 - 1/(20/(-48)). Factor 8/5*r + 2/5*r**2 - k*r**3 - 8/5.
-2*(r - 2)*(r - 1)*(r + 2)/5
Let d(a) be the first derivative of a**6/135 - a**5/45 + 2*a**3/27 - a**2/9 - 5*a - 4. Let n(s) be the first derivative of d(s). Let n(f) = 0. What is f?
-1, 1
Let j = -39167/72 + 544. Let u(h) be the third derivative of -2*h**2 + 0*h**3 - 1/630*h**7 + 0 + j*h**4 - 1/360*h**6 + 1/180*h**5 + 0*h. Solve u(o) = 0 for o.
-1, 0, 1
Suppose -5*o + 15 = -0*o. Factor -3*i**3 - 6*i**4 + 0*i**o + 9*i**3 + 2*i**5 - 3*i**2 + i**2.
2*i**2*(i - 1)**3
Suppose 4*i + 3*d + 1 = -0, -4*d = 4*i + 4. Suppose i*b - 1 = 3. Solve -2/9 + 8/9*j**3 - 2*j**b + 4/3*j = 0.
1/4, 1
Let d(c) be the third derivative of c**5/540 + c**4/54 + c**3/18 + 4*c**2. What is g in d(g) = 0?
-3, -1
Suppose -g**5 + 57*g**3 + 0*g**5 - 56*g**3 = 0. Calculate g.
-1, 0, 1
Let c be (-28)/140*(-10)/4. Factor 0 + c*u**2 + u.
u*(u + 2)/2
Suppose -4*q + 7 = -5*i, 4*i = -q + 6*q - 11. Factor -a**3 - 47*a**4 + a**3 + 44*a**4 - q*a**5.
-3*a**4*(a + 1)
Let g(a) be the first derivative of -a**4/4 + a - 2. Let x be g(1). Factor 2/9*w**2 + 2/9*w**5 - 2/9*w**4 + 0*w - 2/9*w**3 + x.
2*w**2*(w - 1)**2*(w + 1)/9
Let t be 10/15 + (-7)/(-3). Let 9*p**3 - 27*p**t - 9*p**4 + 2*p + 1 - 2*p**2 - 6*p**2 = 0. Calculate p.
-1, -1/3, 1/3
Let z(u) be the third derivative of -3*u**2 + 0*u - 1/90*u**5 - u**3 + 0 - 1/6*u**4. Factor z(j).
-2*(j + 3)**2/3
Let x = -3 + 5. Find i, given that i**2 + 5*i**2 - 4*i**2 - x - 2*i**3 + 2*i = 0.
-1, 1
Let k be -1*2*(-12)/8. Factor -3*a**3 + 4*a**3 - k*a**4 + 5*a**4 + a**3.
2*a**3*(a + 1)
Let f(m) = m**5 + m**3 + m**2 - m - 1. Let q(v) = -17*v**5 - 36*v**4 - 25*v**3 - 5*v**2 + v + 1. Let b(h) = f(h) + q(h). Factor b(o).
-4*o**2*(o + 1)**2*(4*o + 1)
Let u(y) = y**3 + 6*y**2 + 4*y - 5. Let c be u(-5). Let l = 5 - c. Factor 5*g**4 - 5*g + 1 - g**5 + 10*g**2 + g**l - 10*g**3 - g**5.
-(g - 1)**5
Factor -35*h - 1 - 134*h**5 - 99*h**3 - 800*h**4 - 181*h**3 - 122*h**5 - 585*h**3 - 355*h**2.
-(h + 1)**3*(16*h + 1)**2
Let i(u) be the third derivative of 0*u**4 + 1/210*u**5 - 1/420*u**6 + 0*u**3 + 0 + 4*u**2 + 0*u. Suppose i(k) = 0. What is k?
0, 1
Factor -2/7*w**3 - 2/7*w**2 + 2/7*w + 2/7.
-2*(w - 1)*(w + 1)**2/7
Suppose -5*c + c = -8. Let n**c - 2*n + n - 4*n + 4*n = 0. What is n?
0, 1
Let r(b) = 8*b**3 + 8*b**2 + 15*b. Let c(l) = -22*l**3 - 24*l**2 - 44*l. Let k(o) = 5*c(o) + 14*r(o). Determine v so that k(v) = 0.
-1, 0, 5
Let t be (-1)/15*(-3 - -1). Let d(l) be the first derivative of -t*l**3 + 4/5*l + 1 - 1/5*l**2. Factor d(m).
-2*(m - 1)*(m + 2)/5
Suppose -2*z + 4*t = -2, 5*z - 18 = -3*t - 0. Let v be 2/3*(4 + -1). Factor z*y**2 + 2*y**v - 3*y**2.
2*y**2
Factor -u**2 + 6*u**3 + 7*u**2 - 3*u - 3*u**5 - 6*u**2.
-3*u*(u - 1)**2*(u + 1)**2
Let z(p) be the third derivative of -1/180*p**6 + 0*p**3 + 0*p + 1/36*p**4 + 0*p**5 + 0 - 3*p**2. Factor z(j).
-2*j*(j - 1)*(j + 1)/3
Suppose 0 = 8*o - o - 21. Let -2/9*j**4 - 2/9 - 8/9*j - 8/9*j**o - 4/3*j**2 = 0. What is j?
-1
Let b(a) = a. Let c be b(4). Factor 1/5*h**5 + 0*h**2 + 0*h**3 - 1/5*h**c + 0 + 0*h.
h**4*(h - 1)/5
Suppose 4*a = -a + 15. Suppose a*t + t = 0. Factor -2/3*f**4 + 0*f**3 + 4/3*f**2 + t*f - 2/3.
-2*(f - 1)**2*(f + 1)**2/3
Determine w so that -2/5*w**4 + 2/5*w**3 - 2/5*w + 0 + 2/5*w**2 = 0.
-1, 0, 1
Let y = -111 + 111. Let c(x) be the third derivative of 0 + 0*x**3 + 1/36*x**4 + 1/90*x**5 + y*x + x**2. Determine w, given that c(w) = 0.
-1, 0
Let x(r) be the first derivative of 0*r**4 + 1/60*r**5 - 1/360*r**6 + 0*r - 2/9*r**3 + 2 + r**2. Let j(s) be the second derivative of x(s). Factor j(v).
-(v - 2)**2*(v + 1)/3
Let r be (1 - 3) + (-50)/(-8). Let p(s) = -s**2 + 14*s + 3. Let m be p(14). Let 0*n**m + 4*n**4 + 1/4 + 0*n - r*n**2 = 0. Calculate n.
-1, -1/4, 1/4, 1
Let v(z) = z - 7. Suppose 0 = 6*x - 11*x + 55. Let p be v(x). Factor -5*f**3 + 1/2 + 6*f**2 + 3/2*f**p - 3*f.
(f - 1)**3*(3*f - 1)/2
Let t be 3/(-4) + (-92)/(-16). Let l(f) be the first derivative of 2/3*f**3 + 0*f - 2/5*f**t + 0*f**2 + 0*f**4 - 2. Find d such that l(d) = 0.
-1, 0, 1
Let g(y) be the third derivative of y**6/120 + y**5/12 + y**4/3 + 2*y**3/3 - 5*y**2 + 3. Determine q, given that g(q) = 0.
-2, -1
Let c(k) be the third derivative of 13*k**6/360 - k**5/90 - 26*k**2. Factor c(n).
n**2*(13*n - 2)/3
Let q(v) be the second derivative of v**7/357 - 2*v**6/255 - v**5/85 + 2*v**4/51 + v**3/51 - 2*v**2/17 - 12*v. Find l, given that q(l) = 0.
-1, 1, 2
Let s(o) be the first derivative of -147*o**4/16 + 21*o**3/4 + 9*o**2 + 3*o - 4. Factor s(m).
-3*(m - 1)*(7*m + 2)**2/4
Factor -5/2*c**2 - 15/2 + 10*c.
-5*(c - 3)*(c - 1)/2
Let m(b) be the third derivative of 0*b**6 + 1/60*b**5 + 0 - 1/210*b**7 - 2*b**2 + 0*b**3 + 0*b**4 + 0*b. What is z in m(z) = 0?
-1, 0, 1
Let y(h) = -2*h - 1. Let n be y(-3). Suppose 0*z - n*z = 0. Factor 2*w**2 + z*w**2 + 2*w**4 - 4*w**2.
2*w**2*(w - 1)*(w + 1)
Let p be (-2 + 252/(-8))*1. Let g = -33 - p. Solve 0 + o - g*o**2 = 0 for o.
0, 2
Let j(r) be the second derivative of -1/6*r**4 - 1/20*r**5 - 9*r + 0*r**2 + 1/30*r**6 + 0*r**3 + 0. Suppose j(b) = 0. What is b?
-1, 0, 2
Let t = -88 + 1321/15. Let i(w) be the third derivative of t*w**5 + 1/120*w**6 + 1/3*w**3 + 0*w + 5/24*w**4 - w**2 + 0. Factor i(r).
(r + 1)**2*(r + 2)
Find n such that -1/4*n**3 + 0 + 0*n - 3/4*n**2 = 0.
-3, 0
Let d = 16 + -13. Factor 12 + 5*y**2 - 3*y + 2*y**3 + 11*y - y**d - 8.
(y + 1)*(y + 2)**2
Suppose -m = -2*m - 6. Let s(u) = -7*u**3 - 4*u**2 + 3*u. Let i(z) = 4*z**3 + 2*z**2 - 2*z. Let l(q) = m*s(q) - 11*i(q). Let l(f) = 0. What is f?
-1, 0, 2
Let b(q) = 6*q**4 + 2*q**3 - q**2 - 5*q + 1. Let c(g) = -11*g**4 - 5*g**3 + 2*g**2 + 10*g - 1. Let n(r) = 5*b(r) + 3*c(r). Factor n(m).
-(m - 1)*(m + 1)**2*(3*m + 2)
Suppose -3*j = 5*l + 1, 5*j - 11 = -2*l - 0*l. Let t = j + 1. Factor 0*p**3 + 0*p - 2/3*p**2 + 0 + 2/3*p**t.
2*p**2*(p - 1)*(p + 1)/3
Let a(t) be the first derivative of -2*t**2 - 3 + 2/3*t**3 + 2*t. Find b, given that a(b) = 0.
1
Let n(s) be the third derivative of 0*s - 1/15*s**5 + 0*s**6 + 2/105*s**7 - 1/12*s**4 + 1/168*s**8 + 0 - 3*s**2 + 0*s**3. Factor n(h).
2*h*(h - 1)*(h + 1)**3
Factor 0 - 19/5*w**2 + w - 4/5*w**3.
-w*(w + 5)*(4*w - 1)/5
Let g(q) be the second derivative of 2*q**6/135 + 2*q**5/15 + 13*q**4/27 + 8*q**3/9 + 8*q**2/9 + 24*q. Factor g(p).
4*(p + 1)**2*(p + 2)**2/9
Let s(v) be the second derivative of v**6/45 - 2*v**5/15 + v**4/3 - 4*v**3/9 + v**2/3 + 2*v. What is f in s(f) = 0?
1
Let d(f) be the first derivative of -f**5/80 + f**4/16 - f**3/8 + f**2/2 - 4. Let x(g) be the second derivative of d(g). What is w in x(w) = 0?
1
Let c(v) be the second derivative of -1/40*v**6 + 2*v + 1/48*v**4 + 0 - 1/40*v**5 + 0*v**2 + 0*v**3. Factor c(d).
-d**2*(d + 1)*(3*d - 1)/4
Let k(j) be the 