f?
3
Let l(c) = -7*c**3 + 10*c**2 - 3*c - 4. Let g(w) = -6*w**3 + 9*w**2 - 3*w - 3. Let x(z) = 4*g(z) - 3*l(z). Let x(k) = 0. Calculate k.
0, 1
Let 1/3*c**3 - 2/3 + 1/3*c**4 - c**2 - 5/3*c = 0. What is c?
-1, 2
Let c(m) = 9*m**5 + 12*m**4 - 12*m**3. Let u(k) = -k**5 - k**4 + k**3. Let a(z) = c(z) + 12*u(z). Determine g so that a(g) = 0.
0
Suppose 15 = 13*s - 37. Let 0*y**2 + 0 - 1/3*y**3 + 1/3*y**5 + 0*y + 0*y**s = 0. What is y?
-1, 0, 1
Let k(s) be the second derivative of s**6/120 - 3*s**5/80 + s**4/16 - s**3/24 - 4*s. What is v in k(v) = 0?
0, 1
Let c(p) = p**3 - p. Let n(z) = -2*z**3 + 240*z**2 - 4802*z + 32000. Let j(a) = -2*c(a) + n(a). Suppose j(f) = 0. What is f?
20
Let c be 0 + -6 + (-78)/(-12). Solve a**2 - c*a - 1/2*a**3 + 0 = 0.
0, 1
Suppose -4*f - 20 = -5*a - 0*f, 3*a = -2*f + 12. Let x be -1*(-1)/((-1)/(-3)). Factor -1 + s**4 - x*s - s**2 + s**a + 3*s**3 + 0*s**3.
(s - 1)*(s + 1)**2*(2*s + 1)
Suppose -3*n - 5 + 14 = 0. Factor -4/3*q - 1/3*q**4 - 4/3*q**n - 2*q**2 - 1/3.
-(q + 1)**4/3
Factor -882/19*n**2 - 2/19 + 84/19*n.
-2*(21*n - 1)**2/19
Find x, given that 28/5*x**3 + 4/5 + 6/5*x**2 - 18/5*x = 0.
-1, 2/7, 1/2
Let a(u) be the first derivative of -4*u + 5 - 8*u**3 - 5/2*u**4 - 9*u**2. Determine d so that a(d) = 0.
-1, -2/5
Let v(h) = -92*h - 90. Let z be v(-1). Factor -1/3*j**3 - 4/3 + 1/3*j**z + 4/3*j.
-(j - 2)*(j - 1)*(j + 2)/3
Determine m so that 3*m - 3 - 7*m - 2*m - 3*m**2 + 0*m**2 = 0.
-1
Let z(p) be the first derivative of p**6/24 - 3*p**5/10 + 9*p**4/16 - p**3/3 - 4. Factor z(y).
y**2*(y - 4)*(y - 1)**2/4
Let c(x) be the third derivative of -x**6/180 + x**5/30 - x**4/18 - 9*x**2. What is d in c(d) = 0?
0, 1, 2
Let p(i) = -5*i - 1. Let t be p(-1). Let s = t + 0. Solve 0 + 0*g**2 - g**3 + 4/3*g + 1/3*g**s = 0 for g.
-1, 0, 2
Let m = 37 + -221/6. What is o in -m - 1/6*o**2 + 1/3*o = 0?
1
Factor -5/3*g + 20/3*g**2 + 0 - 5*g**3.
-5*g*(g - 1)*(3*g - 1)/3
Let q = -89/24 + 35/8. Solve q + 2*o**2 + 2*o + 2/3*o**3 = 0 for o.
-1
Let c be (-2 + 0)*1 - -2. Suppose c = 17*g - 13*g. Suppose 0*j**3 + 1/3*j**2 - 1/3*j**4 + 0 + g*j = 0. What is j?
-1, 0, 1
Let k(g) be the third derivative of -g**7/2205 + g**5/630 + 11*g**2. Determine v, given that k(v) = 0.
-1, 0, 1
Let n be 21/8 + 30/(-12). Find p, given that -n*p**3 + 0*p + 0 - 1/4*p**2 = 0.
-2, 0
Find o, given that -2/13*o + 2/13*o**3 + 2/13*o**2 + 0 - 2/13*o**4 = 0.
-1, 0, 1
Let p = 3 - 6. Let s(a) = -a + 2. Let h be s(p). Factor 6*i**2 + 0*i + h*i - 4*i + i.
2*i*(3*i + 1)
Let q(f) be the first derivative of -4*f + 1/12*f**4 + 0*f**3 - 4 + 0*f**2. Let n(a) be the first derivative of q(a). Factor n(s).
s**2
Let a be (-6)/4*(-1 + -1). Let r = 2/239 + 472/717. Factor 2/3*w**4 - 2/3*w**a + 2/3*w**5 + 0 + 0*w - r*w**2.
2*w**2*(w - 1)*(w + 1)**2/3
Let w = 232 - 229. Determine l so that 0 - 1/4*l**4 + 0*l**2 - 3/4*l**w + l = 0.
-2, 0, 1
Let i(b) be the second derivative of 1/10*b**5 + 1/6*b**4 - 4*b**2 - 4/3*b**3 + 0 - 7*b. Factor i(l).
2*(l - 2)*(l + 1)*(l + 2)
Let w be -29 - -33 - (-11)/(-3). Let n(x) be the first derivative of 0*x - 3 - x**2 - w*x**3. Let n(h) = 0. Calculate h.
-2, 0
Suppose 0 = 5*t + 8 - 8. Factor t + 0*j + 4/5*j**2 + 14/5*j**3.
2*j**2*(7*j + 2)/5
Let t(z) = 5*z**3 - 6*z**2 - 6*z. Let w(y) = 10*y**3 - 13*y**2 - 13*y. Let v(m) = -13*t(m) + 6*w(m). Suppose v(i) = 0. What is i?
0
Let h(d) be the second derivative of -d**5/40 + d**3/4 - d**2/2 - 28*d. Suppose h(c) = 0. What is c?
-2, 1
Let x = 16 + -40/3. Suppose 2*f**4 - x*f**3 + 0 - 22/9*f**2 - 4/9*f = 0. Calculate f.
-1/3, 0, 2
Let x(l) be the second derivative of -l**4/54 + l**3/27 - 5*l. Find m such that x(m) = 0.
0, 1
Suppose 34 = -5*b + 44. Factor -1/2*o**3 + 0 - 2*o + 2*o**b.
-o*(o - 2)**2/2
Let r(n) be the first derivative of n**3/12 + 2*n**2 + 16*n - 9. Solve r(y) = 0.
-8
Let a be (11/9 - 1) + 0. Let t(q) be the third derivative of -5/36*q**4 + 1/36*q**6 + 0*q + 2*q**2 + 0 - a*q**3 + 1/45*q**5. Solve t(u) = 0 for u.
-1, -2/5, 1
Suppose 26*a - 28*a = 0. Let v(r) be the third derivative of 0*r + 1/15*r**3 - 1/150*r**7 - r**2 + 3/200*r**6 - 3/40*r**4 + 1/60*r**5 + a. Solve v(w) = 0 for w.
-1, 2/7, 1
Let h(i) be the second derivative of -i**6/45 + i**5/30 + i**4/18 - i**3/9 + 22*i. Factor h(n).
-2*n*(n - 1)**2*(n + 1)/3
Let o(y) be the third derivative of -y**7/70 + y**6/40 + 7*y**5/20 - 13*y**4/8 + 3*y**3 + 2*y**2 + 22*y. Find x such that o(x) = 0.
-3, 1, 2
Solve -5/7*b**3 + 12/7 - 40/7*b + 27/7*b**2 = 0 for b.
2/5, 2, 3
Suppose -4*p + 3*p = -2. What is z in -3*z**2 + z**2 + 3*z**2 + p*z = 0?
-2, 0
Let d(m) be the second derivative of -m**8/560 - m**7/140 - m**6/120 - m**3/3 + 4*m. Let p(b) be the second derivative of d(b). Suppose p(q) = 0. Calculate q.
-1, 0
Let h be 2/((-2)/(-3)) + 12. Let d be 50/h*2/10. Factor 1/3 - d*g**2 + 0*g + 0*g**3 + 1/3*g**4.
(g - 1)**2*(g + 1)**2/3
Let f(t) be the first derivative of 3*t**5 - t**4 - t**3 - 3*t**2/2 + 6. Let r(c) = -14*c**4 + 5*c**3 + 3*c**2 + 2*c. Let n(p) = -4*f(p) - 5*r(p). Factor n(g).
g*(g - 1)*(2*g + 1)*(5*g - 2)
Let c(w) = 2*w**3 - 11*w**2 + 8*w - 10. Let u(g) = -g**3 + g. Let i(m) = c(m) + 3*u(m). Let k be i(-12). What is l in l - l**k + 2*l**2 + 3*l**2 = 0?
-1/4, 0
Let z = -58/3 - -20. Let f(k) be the second derivative of -k + 0 - k**2 - z*k**3 - 1/6*k**4. Factor f(a).
-2*(a + 1)**2
Suppose -3*s - 5*n = -14, -2*s + 5*n = -s + 2. Suppose -2/3*l**5 + 2*l**s + 32/15*l**2 + 0 + 8/15*l - 4/15*l**4 = 0. Calculate l.
-1, -2/5, 0, 2
Let x be 1 + 3 + (-15 - -15). Let l be x/(2 - 8/(-1)). Solve -1/5*o + l - 1/5*o**2 = 0 for o.
-2, 1
Let o(g) = 24*g - 238. Let p be o(10). Find m such that 2/7*m + 0 - 4/7*m**p - 6/7*m**3 = 0.
-1, 0, 1/3
Suppose -10 = -2*y, 3*g - 21 = -6*y + 3*y. Let c be g/(-2)*2/(-4). What is r in -1/2 + c*r**2 + 1/2*r**3 - 1/2*r = 0?
-1, 1
Suppose 2/23*d**2 + 8/23 + 8/23*d = 0. What is d?
-2
Let m(n) be the first derivative of -1/12*n**4 - 4 + 0*n - 1/9*n**3 + 1/3*n**2. Determine s, given that m(s) = 0.
-2, 0, 1
Let x(f) = -3*f**5 + 6*f**4 - 3*f**3 - 7*f + 7. Let b(y) = -2*y**5 + 4*y**4 - 2*y**3 - 5*y + 5. Let w(m) = 7*b(m) - 5*x(m). Factor w(o).
o**3*(o - 1)**2
Suppose 9*p - 5 - 13 = 0. Factor 0*i + 2/5*i**p - 2/5.
2*(i - 1)*(i + 1)/5
Let t(w) = w**3 + w**2 + w - 1. Let p be (-4 - 22/(-5))*-25. Let x(f) = 8*f**3 + 4*f**2 + 2*f - 4. Let h(u) = p*t(u) + 2*x(u). Solve h(n) = 0 for n.
-1, 1/3, 1
Let t(r) = -r**3 + 3*r**2 - 4*r. Let n be 6*4/(0 - 12). Let a(q) = 4*q**3 - 10*q**2 + 13*q. Let b(p) = n*a(p) - 7*t(p). Determine u, given that b(u) = 0.
-2, 0, 1
Let v(t) = -6*t**2 - 6*t. Let c(d) = -d + 6*d**2 + d**2 + 8*d + 0*d. Let x(h) = 5*c(h) + 6*v(h). What is o in x(o) = 0?
-1, 0
Let a = 2/7 + -3/35. Let l(z) be the first derivative of -z**2 + 0*z**3 + 1/2*z**4 - a*z**5 + z - 1. Suppose l(q) = 0. What is q?
-1, 1
Let l(s) be the third derivative of -s**7/70 + s**6/10 + s**5/4 - 19*s**2. Factor l(q).
-3*q**2*(q - 5)*(q + 1)
Let n = -1091/55 - -101/5. Factor 2/11*w**3 + 2/11*w**2 + 0 - n*w.
2*w*(w - 1)*(w + 2)/11
Let l(o) be the first derivative of o**7/140 + o**6/80 - o**5/20 - o**2/2 + 9. Let v(q) be the second derivative of l(q). Factor v(s).
3*s**2*(s - 1)*(s + 2)/2
Let z(j) be the second derivative of -7*j**4/6 - 5*j**3/3 + 2*j**2 + 2*j. Solve z(c) = 0 for c.
-1, 2/7
Let k(r) be the first derivative of 5*r**6/6 + 3*r**5 + 5*r**4/2 - 9. Factor k(j).
5*j**3*(j + 1)*(j + 2)
Suppose n - 2*n = 5. Let d = 5 + n. Solve d*u**4 + 0*u - 1/5*u**5 + 1/5*u**3 + 0*u**2 + 0 = 0 for u.
-1, 0, 1
Let r(b) be the third derivative of b**5/35 + 8*b**4/21 - 8*b**3/7 + 36*b**2. Let r(i) = 0. Calculate i.
-6, 2/3
Let y(i) be the first derivative of -5*i**6/6 - 3*i**5 - 15*i**4/4 - 5*i**3/3 + 8. Determine z, given that y(z) = 0.
-1, 0
Let b = -81796/95 + 861. Let x = b - -193/285. Factor 2/3*s - x*s**3 - 1/3*s**4 + 0*s**2 + 1/3.
-(s - 1)*(s + 1)**3/3
Let y(d) be the first derivative of d**4/30 - 2*d**3/9 + 7*d**2/15 - 2*d/5 + 12. Factor y(k).
2*(k - 3)*(k - 1)**2/15
Suppose 3*c + 0*c - 6 = 0. Factor -4*p + 3*p**c - p**2 + 5*p + 3*p**3 + p**4 + p**2.
p*(p + 1)**3
Let v be (-93)/(-155) - (-4)/((-20)/(-7)). Suppose -2/5*l + 4/5 - 2/5*l**v = 0. What is l?
-2, 1
Let j(q) be the second derivative of q**6/6 + q**5/4 - 5*q**4/4 - 5*q**3/6 + 5*q**2 + 17*q. Factor j(i).
5*(i - 1)**2*(i +