?
7
Suppose -f + 2 = -5*w + 4*w, 5*f = 3*w. Let i = w + 5. Factor 0 - 2*t**3 - 3*t**2 + i + 5*t**2.
-2*t**2*(t - 1)
Suppose 3*p = -110 + 914. Let b = p - 2946/11. Let b*l**3 - 6/11*l**2 + 6/11*l - 2/11 = 0. What is l?
1
Let c(w) = -w**2 - 5*w - 2. Let g be c(-3). Suppose h + g = 2*k, -2*k + 7 + 9 = 2*h. Find s, given that 0*s + s**k - 1/2*s**2 - 3/4*s**5 + 0 + 1/4*s**3 = 0.
-2/3, 0, 1
Let r(b) be the second derivative of b**5/10 - b**4/6 - b**3/3 + b**2 - 5*b. Find m, given that r(m) = 0.
-1, 1
Let g(h) be the first derivative of -h**7/2100 - h**6/450 + h**5/75 + 2*h**4/15 - 8*h**3/3 - 7. Let a(n) be the third derivative of g(n). Factor a(q).
-2*(q - 2)*(q + 2)**2/5
Let a be (-438)/(-8) + 4/16. Let i = a + -163/3. Factor -1/3*b + i*b**4 + 0*b**3 + 1/3*b**5 - 2/3*b**2 + 0.
b*(b - 1)*(b + 1)**3/3
Suppose 2*h = 7 - 1. Let p(r) = -r**3 - 5*r**2 - 5*r - 1. Let n(m) = 4*m**2 + 4*m. Let y(q) = h*n(q) + 2*p(q). Suppose y(w) = 0. What is w?
-1, 1
Let g(f) be the second derivative of -4*f**6/3 + 21*f**5/5 + 5*f**4/3 - 8*f**3 - 8*f**2 + 5*f. Let g(r) = 0. Calculate r.
-1/2, -2/5, 1, 2
Let v(i) = i**3 + 4*i**2 + 4*i + 2. Let l be v(-2). Solve 7*f**2 + 7*f**2 + 4*f**3 - l*f - 10*f**4 - 4*f**2 - 2*f = 0 for f.
-1, 0, 2/5, 1
Let v(r) = r + 32. Let c be v(-30). Factor -3/5*h**c + 3/5 + 0*h.
-3*(h - 1)*(h + 1)/5
Let a = 33 - 33. Let b(d) be the second derivative of 0*d**4 + 0*d**2 - 1/24*d**3 + 4*d + a + 1/80*d**5. Solve b(j) = 0 for j.
-1, 0, 1
Let u(w) be the second derivative of w**7/189 - w**6/27 + w**5/30 + w**4/6 + 16*w. Find f such that u(f) = 0.
-1, 0, 3
Factor -1/3*q**5 + 1/3*q**3 + 1/3*q**4 + 0 - 1/3*q**2 + 0*q.
-q**2*(q - 1)**2*(q + 1)/3
Factor 4/3*x**5 + 0*x - 8*x**3 + 0 + 0*x**2 - 4/3*x**4.
4*x**3*(x - 3)*(x + 2)/3
Let c(u) = -u**4 + u**3 - u - 1. Let q(j) = -6*j**4 + 45*j**3 - 147*j**2 - 3*j - 3. Let g(m) = -3*c(m) + q(m). Suppose g(n) = 0. Calculate n.
0, 7
Let y be -2*(-412)/504 + -1. Let j = 2/63 + y. What is g in j*g**4 - 2/3*g**2 + 0 + 1/3*g - 1/3*g**5 + 0*g**3 = 0?
-1, 0, 1
Solve -1/2*l**4 + 0*l + 1/3*l**3 + 0*l**2 + 0 = 0.
0, 2/3
Suppose 3 + 1 = s. Find j, given that 2*j**3 + j**3 - j + 2*j**2 - s*j**3 = 0.
0, 1
Let a be (3/(-2) + 1)*30. Let n be a/18*2 - -2. Factor 1/3*x**3 + 0 - 1/3*x**2 + 1/3*x**4 - n*x.
x*(x - 1)*(x + 1)**2/3
Let j be (11 - 12 - -25)*(-2)/(-27). What is x in 50/9*x**3 + 88/9*x - 140/9*x**2 - j = 0?
2/5, 2
Suppose -8*l - 32*l**2 - 6*l**4 - 4*l**4 - 3*l**4 + 3*l**4 - 34*l**3 = 0. Calculate l.
-2, -1, -2/5, 0
Let f be 32/10 + (-12)/4. Let x(i) be the first derivative of 1 + 0*i**4 - 2/3*i**3 + 0*i**2 + i + f*i**5. Factor x(r).
(r - 1)**2*(r + 1)**2
Let s be ((-35)/28)/((-1)/4). Factor -1 + s - 2*w + 0*w - 2*w**2.
-2*(w - 1)*(w + 2)
Let u(w) = -3*w**4 + 5*w**3 + 2*w**2 - 5*w + 1. Let d = -1 - 0. Let x(j) = j**2 + j**4 - 3*j**2 + j**2. Let n(z) = d*x(z) + u(z). Factor n(v).
-(v - 1)**2*(v + 1)*(4*v - 1)
Let j = -3 - -9. Factor c + c - 2*c**2 - 5*c**2 + c**2 - 2*c**4 + j*c**3.
-2*c*(c - 1)**3
Let l be 0/(30/(-10)) - -4. Factor -2/7 + 6/7*b**l - 4/7*b**2 + 6/7*b - 4/7*b**3 - 2/7*b**5.
-2*(b - 1)**4*(b + 1)/7
Let v(c) be the third derivative of -9*c**6/320 - 3*c**5/40 + 11*c**4/64 - c**3/8 + 12*c**2. Let v(n) = 0. Calculate n.
-2, 1/3
Find b, given that 5*b - 25*b + 12 - 15*b**3 + 19*b**3 + 8*b**2 - 4*b**2 = 0.
-3, 1
Let c(a) be the first derivative of a**4/5 + 8*a**3/15 - 14*a**2/5 + 16*a/5 - 18. Find d, given that c(d) = 0.
-4, 1
Let i = 15/34 - -1/17. Let f(p) be the first derivative of -i*p**6 - 6*p**4 - 3 + 0*p + 4*p**3 + 3*p**5 + 0*p**2. What is x in f(x) = 0?
0, 1, 2
Let a = -32 + 24. Let u be 204/240 - (-2)/a. Solve 0 - 1/5*m - u*m**3 - 4/5*m**2 = 0.
-1, -1/3, 0
Let p(w) = w**2 - 16*w - 15. Suppose 7*d + 0*d - 119 = 0. Let j be p(d). Factor 4*q - 2/3*q**j - 6.
-2*(q - 3)**2/3
Let c(f) be the third derivative of f**6/40 + f**5/5 + 10*f**2. Factor c(r).
3*r**2*(r + 4)
Let v(z) = 5*z**3 + z**2 - 6*z + 5. Let m(p) = -p - 2*p**3 - p**2 - p**3 + 3 - 6 + 4*p. Let l(q) = 7*m(q) + 4*v(q). What is f in l(f) = 0?
-1
Let a be (-2)/6*(-54 - -45). Factor 0*h + 1/5*h**a + 0 + 3/5*h**2.
h**2*(h + 3)/5
Let d(w) be the first derivative of 3 + 0*w - 2/3*w**3 - w**2. Factor d(p).
-2*p*(p + 1)
Let i = -1 - -3. Factor k**2 + 0 - 1 - 3 + i - k.
(k - 2)*(k + 1)
Suppose 20 = 2*v + 2*v - 3*o, 4*o + 20 = 2*v. Let w(g) be the first derivative of 2/5*g + 2/15*g**3 + 2/5*g**2 - v. Factor w(d).
2*(d + 1)**2/5
Factor 1/3*a**2 + 3 - 2*a.
(a - 3)**2/3
Suppose -8*l = 26*l. What is z in 1/2*z**2 + 3/4*z**3 + 0 + 1/4*z**4 + l*z = 0?
-2, -1, 0
Let t = 10 + -4. Let p be t/36 - (-11)/6. Factor -1/2*y**p + 1/2*y**4 - 1/2*y + 1/2*y**3 + 0.
y*(y - 1)*(y + 1)**2/2
Let m(j) be the third derivative of 121/300*j**5 + 2/15*j**3 + 3*j**2 - 11/30*j**4 + 0*j + 0. Suppose m(g) = 0. What is g?
2/11
Let z(s) = 2*s**2 + s - 1. Let c be z(-2). Suppose c*k - 14 = 1. Suppose 2*b**4 - b**3 + 0*b**2 - 2*b**2 - 4*b**5 + 5*b**k = 0. Calculate b.
-1, 0, 1/2, 1
Let n be (44/30)/(6/(-40)). Let h = n - -100/9. Factor 2/3*i**2 - 2/3*i - h.
2*(i - 2)*(i + 1)/3
Let 3*z**3 + z**4 + 0*z**3 + 3*z**5 - 7*z**4 = 0. Calculate z.
0, 1
Let f(v) = 12*v + 22 - 7 + 2*v**2 - 20*v. Let h(l) = l**2 - 4*l + 7. Let b(g) = 6*f(g) - 14*h(g). Suppose b(k) = 0. Calculate k.
2
Let d(j) = -6*j**2 + 15*j - 9. Let i(p) = 7*p**2 - 16*p + 8. Let l(o) = -4*d(o) - 3*i(o). Factor l(f).
3*(f - 2)**2
Let g = 1 + -8. Let c = g + 9. Find r, given that -9*r**4 + c*r**2 + 1 - 1 + r**4 + 6*r**3 = 0.
-1/4, 0, 1
Let m(b) be the second derivative of -b**6/420 - b**5/105 - b**4/84 - 3*b**2/2 + 3*b. Let y(s) be the first derivative of m(s). Determine w so that y(w) = 0.
-1, 0
Let c(o) = -o + 18. Let z be c(14). Let m = -1813/11 - -165. Suppose 0 + 0*h - 2/11*h**3 + 2/11*h**5 - 2/11*h**2 + m*h**z = 0. What is h?
-1, 0, 1
Let h(r) = r**2 - 4*r. Let o be h(4). Let a(n) be the third derivative of 0*n - 1/150*n**5 + 3*n**2 + o*n**3 + 1/30*n**4 + 0. Factor a(p).
-2*p*(p - 2)/5
Let w(a) be the third derivative of 0 + 0*a + 1/30*a**5 + 3*a**2 + 0*a**4 - 1/3*a**3. Suppose w(h) = 0. Calculate h.
-1, 1
Let x(v) be the first derivative of -2*v**3/9 - v**2 + 7. Factor x(u).
-2*u*(u + 3)/3
Let q(n) be the first derivative of -n**6/2160 + n**5/240 - n**4/72 + n**3 - 1. Let d(f) be the third derivative of q(f). Find m such that d(m) = 0.
1, 2
Let l(p) = -28*p**2 - 64*p - 11. Let d(i) = -14*i**2 - 32*i - 5. Let n(u) = 5*d(u) - 3*l(u). Let n(a) = 0. What is a?
-2, -2/7
Let r(j) be the first derivative of -4*j**6/27 - 8*j**5/45 - j**4/18 + 2. Factor r(c).
-2*c**3*(2*c + 1)**2/9
Suppose 0*a**2 + 9*a + 5*a**2 - 6 - 8*a**2 = 0. Calculate a.
1, 2
Find p, given that -4*p - 4*p + 5*p**2 - 2*p - 8 - 7 = 0.
-1, 3
Let x = -12 - -24. Let s = x - 12. Find g such that -1/3*g**5 - 1/3*g**3 + 0*g**2 + 0*g + s - 2/3*g**4 = 0.
-1, 0
Let v(h) be the third derivative of -1/21*h**4 - 2/105*h**5 + 0 + 4*h**2 + 0*h - 1/21*h**3. Find m, given that v(m) = 0.
-1/2
Suppose 8 = 12*x - 8*x. Factor x*l**3 + 16*l + 8*l**2 - 6 + 14 + 2*l**2.
2*(l + 1)*(l + 2)**2
Let l(s) be the third derivative of 1/15*s**3 - 1/150*s**5 - 1/120*s**6 - s**2 + 0*s + 1/24*s**4 + 0. Factor l(n).
-(n - 1)*(n + 1)*(5*n + 2)/5
Let q(x) be the second derivative of -x**8/1680 - x**7/840 + x**6/360 + x**5/120 + x**3/3 + 2*x. Let t(u) be the second derivative of q(u). Factor t(k).
-k*(k - 1)*(k + 1)**2
Let r(q) = 13*q**2 - q + 4. Let d(u) = -2*u**2 - 1. Let m(o) = 6*d(o) + r(o). Factor m(w).
(w - 2)*(w + 1)
Let c(j) be the third derivative of 22/15*j**5 + 14/15*j**6 + 4/3*j**4 + 1/21*j**8 - 4*j**2 + 34/105*j**7 + 2/3*j**3 + 0 + 0*j. Factor c(u).
4*(u + 1)**4*(4*u + 1)
Suppose 0*n - 8 = -2*n. Suppose 3*w + 2*l - 7 = 2*w, w - n*l = -5. Factor 2*v**3 + 0*v**2 + 5*v**2 - w*v**2.
2*v**2*(v + 1)
Suppose -14 = -0*b - 5*b + l, 4*b + 12 = -5*l. What is g in -9*g**4 - 3*g**2 + 12*g**3 + g**b - g**2 = 0?
0, 1/3, 1
Factor -26 + 26 + 5*x + 5*x**3 - 10*x**2.
5*x*(x - 1)**2
Let n(t) = -t**3 - 8*t**2 - 7*t - 9. Let m be n(-7). Let d = m + 9. What is a in d*a + 1/4*a**4 + 0*a**2 + 0*a**3 + 0 = 0?
0
Let s(t) be the second derivative of -1/110*t**5 + 1/11*t**3 + 0*t**4 + 2/11*t**2 + 7*t + 0. Find k, given that s(k) = 0.
-1, 2
Let a(k) be the second derivative of k**8/840 - k**7/525 + k**2 + k. Let f(l) be the first 