f 3*p**4/20 + p**3/5 - 9*p**2/5 + 27. Let c(x) = 0. What is x?
-3, 0, 2
Let y = 2 + 1. Let -d**2 + 4*d - 4*d + y*d**2 = 0. What is d?
0
Let k be (0/((-3)/3))/(-1). Let u be -2 + 9 - (k + 2). Factor 5 + 4*j - u*j**2 + 3*j**2 - 7.
-2*(j - 1)**2
Let y be 3 + -1 - 2 - -2. What is x in x**y - x + 0*x**2 - 3*x + 3*x = 0?
0, 1
Let k(g) = g**2 - 1. Let a(d) = 5*d**3 + 3*d**2 - 5*d - 3. Let q(v) = -a(v) + 3*k(v). Factor q(y).
-5*y*(y - 1)*(y + 1)
Let g(q) be the third derivative of q**6/40 - 3*q**4/8 + q**3 - 2*q**2. Factor g(t).
3*(t - 1)**2*(t + 2)
Let k be 0 + 0 + 163/(-4). Let o = k + 41. Solve 1/2 - o*d - 3/4*d**2 + 1/4*d**4 + 1/4*d**3 = 0.
-2, -1, 1
Solve -8*x**2 - 8*x**4 + 15*x**4 - 2*x**4 + 3*x**2 = 0 for x.
-1, 0, 1
Find h, given that -4/13*h + 0 + 4/13*h**3 + 6/13*h**2 = 0.
-2, 0, 1/2
Let m(j) be the third derivative of 0 - 1/735*j**7 + 0*j**3 + 1/420*j**6 + 0*j + 1/210*j**5 - 1/1176*j**8 + 0*j**4 - j**2. Find a, given that m(a) = 0.
-1, 0, 1
Suppose 0 = -5*o - 2 + 22. Let g(r) be the second derivative of 2/27*r**3 + 2*r + 1/9*r**2 + 1/54*r**o + 0. Factor g(f).
2*(f + 1)**2/9
Let a = 18 + -22. Let q be 2 + (-6)/a + -3. Factor 1/4*r**3 + q*r**2 + 1/4*r + 0.
r*(r + 1)**2/4
Let l(u) = u**2 + 14*u + 28. Let c be l(-12). Let m(j) be the third derivative of 0 + 1/18*j**c + 0*j + 1/9*j**3 + 1/90*j**5 + 2*j**2. Factor m(k).
2*(k + 1)**2/3
What is v in 5*v + 1/3*v**3 + 3*v**2 - 25/3 = 0?
-5, 1
Let g(r) be the second derivative of r**4/12 + r**3/2 + r**2 - 2*r. Let y(k) = k**2 + 1. Suppose -2*p - 15 = 3*p. Let j(f) = p*y(f) + g(f). Factor j(o).
-(o - 1)*(2*o - 1)
Let h(g) be the first derivative of g**3/18 - 13*g**2/6 + 169*g/6 + 22. Find d such that h(d) = 0.
13
Let -2*a**3 + 8/3*a + 0 + 7/3*a**4 - 4*a**2 + a**5 = 0. Calculate a.
-2, 0, 2/3, 1
Let h(n) be the second derivative of -n**7/189 + 16*n. Factor h(s).
-2*s**5/9
Factor 0 - 3/4*f**4 + 3*f - 9/4*f**3 + 0*f**2.
-3*f*(f - 1)*(f + 2)**2/4
Let f(b) = -3*b**5 - 4*b**2 + 4*b. Let d(k) be the second derivative of k**7/42 + k**4/12 - k**3/6 + 5*k. Let x(t) = 4*d(t) + f(t). Let x(v) = 0. Calculate v.
0
Let w(y) be the third derivative of -y**7/42 - y**6/20 + 11*y**5/300 + y**4/10 - 2*y**3/15 - 6*y**2. Suppose w(g) = 0. What is g?
-1, 2/5
Let i(t) be the second derivative of t**4/72 - 2*t**3/9 - 3*t**2/4 + 11*t. Solve i(b) = 0.
-1, 9
Let -12/5*h**2 - 48/5*h - 1/5*h**3 - 64/5 = 0. Calculate h.
-4
Let m(j) be the first derivative of -j**5/60 + j**4/12 - j**3/6 - j**2/2 - 3. Let k(x) be the second derivative of m(x). What is w in k(w) = 0?
1
Let v be (-4089)/660 + (-2)/(-8). Let b = v + 72/11. Let -b*w**3 + 0 - 3/5*w**2 + 0*w = 0. What is w?
-1, 0
Suppose 0 = -0*y + 4*y - 4*f + 24, 5*f - 2 = -2*y. Let v = 4 + y. Factor -2/7*n**3 + v*n + 2/7*n**4 + 0 + 0*n**2.
2*n**3*(n - 1)/7
Suppose 0*d - 4*d - 4 = 4*b, -5*d - 25 = -5*b. Let v be ((-4)/d)/((-10)/(-15)). Find h such that 2/9 + 16/3*h**2 + v*h + 32/9*h**3 = 0.
-1, -1/4
Let w(a) be the second derivative of a**5/10 - 19*a**4/42 + 8*a**3/21 + 4*a**2/7 + a. Factor w(i).
2*(i - 2)*(i - 1)*(7*i + 2)/7
Let p(x) be the first derivative of 1/9*x**3 + 1/18*x**4 - 1 - x + 0*x**2. Let j(g) be the first derivative of p(g). Factor j(k).
2*k*(k + 1)/3
Suppose 15*t - 55 = 5. Let j = -4 - -6. Determine u, given that -2*u**3 - 2/3*u**t - j*u**2 - 2/3*u + 0 = 0.
-1, 0
Factor 173*f + 8*f**3 - 2*f**2 - 176*f - 4*f**3 + 2 - f**5.
-(f - 1)**3*(f + 1)*(f + 2)
Suppose -p - 2*o + 12 = -4*p, 5*o - 4 = p. Let u = -1 - p. Factor 8/7*b**2 - 12/7*b**u - 2/7*b + 0 + 8/7*b**4 - 2/7*b**5.
-2*b*(b - 1)**4/7
Let i(z) be the second derivative of 5*z**4/4 + 55*z**3/6 - 10*z**2 - 4*z. Find v such that i(v) = 0.
-4, 1/3
Let u(n) = 10*n**4 - 8*n**3 + 4*n**2 + 2*n - 2. Let r(f) = 21*f**4 - 16*f**3 + 9*f**2 + 5*f - 5. Let c(v) = -2*r(v) + 5*u(v). Suppose c(i) = 0. Calculate i.
0, 1/2
Let s be (10/6)/(1/(-9)). Let t be 0 + (s/(-12))/5. Factor -1/4*v**2 - 1/4*v**3 + 1/4 + t*v.
-(v - 1)*(v + 1)**2/4
Let b(c) = c - 1. Let l be b(3). Suppose l*g = -g + 9. Let p(k) = -k**3 - 3*k - 4. Let d(q) = q**2 + q. Let j(n) = g*d(n) + p(n). Let j(u) = 0. Calculate u.
-1, 2
Let y(d) be the second derivative of 0 - 4*d + 0*d**4 + 3/20*d**5 - 1/2*d**3 + 0*d**2. What is z in y(z) = 0?
-1, 0, 1
Let b(j) be the second derivative of j**5/12 - j**4/6 + j**3/18 - 10*j. Factor b(f).
f*(f - 1)*(5*f - 1)/3
Let c(f) = -20*f**3 + 45*f**2 + 15*f. Let z(h) = 20*h**3 - 43*h**2 - 14*h. Let r(s) = -4*c(s) - 5*z(s). Factor r(n).
-5*n*(n - 2)*(4*n + 1)
Let o(w) = -w**3 - 4*w**2 + w - 17. Let u be o(-5). Let -1/3*t**u - 2/3*t**2 - 1/3*t + 0 = 0. Calculate t.
-1, 0
Let 3*c**3 + 6*c**2 - 3 - 20*c - 7*c**3 + 10*c**2 + 11 = 0. What is c?
1, 2
Suppose u = 5*u - 8. Let -4*h**u - 56 + 56 - 2*h**3 = 0. Calculate h.
-2, 0
Let f(l) be the third derivative of l**8/141120 + l**7/8820 + l**6/1260 - l**5/60 - 3*l**2. Let z(t) be the third derivative of f(t). Factor z(s).
(s + 2)**2/7
Suppose 1/3*b**3 - 1/3 + 1/3*b**2 - 1/3*b = 0. What is b?
-1, 1
Let x(l) be the second derivative of -l**4/6 - l**3 + 31*l. What is n in x(n) = 0?
-3, 0
Let t(f) = 29*f**3 - 89*f**2 + 91*f - 65. Let k(o) = 10*o**3 - 30*o**2 + 30*o - 22. Let n(h) = 17*k(h) - 6*t(h). Factor n(g).
-4*(g - 4)*(g - 1)**2
Let x(y) = -y + 4. Let c be x(2). Suppose -c*w - l = -7 + 2, -5*w + 15 = 5*l. Factor 0*b**3 - 1/2*b**4 - 1/2 + 0*b + b**w.
-(b - 1)**2*(b + 1)**2/2
Let h = -15 + 20. Let f(m) be the third derivative of 0 + 0*m + 1/120*m**h + 0*m**3 + 0*m**4 - 3*m**2. Suppose f(j) = 0. What is j?
0
Let h = -3/8 - -7/8. Factor -a**2 + 2*a**3 + 2*a**4 - 1 - 5/2*a + h*a**5.
(a - 1)*(a + 1)**3*(a + 2)/2
Let w(j) = 3*j**3 + 14*j**2 + 17*j + 4. Let q(z) = 21*z**3 + 99*z**2 + 120*z + 27. Let y(b) = -2*q(b) + 15*w(b). Let y(f) = 0. Calculate f.
-2, -1
Let k(z) = z - 5. Let r(j) = j**2 - 6*j - 2. Let a be r(7). Let g be k(a). Find x, given that -1 + g*x - x**2 + x + x = 0.
1
Let l(a) be the third derivative of -a**8/112 + a**7/70 + a**6/40 - a**5/20 + 6*a**2. Factor l(q).
-3*q**2*(q - 1)**2*(q + 1)
Let k = -16 - -50/3. Factor 4/3*v**4 - k*v**5 - 2/3*v**3 + 0*v**2 + 0 + 0*v.
-2*v**3*(v - 1)**2/3
Let y be -4 - -16 - (-2)/1. Factor -5*q + 3 + 1 - 1 + y*q + 3*q**3 + 9*q**2.
3*(q + 1)**3
Factor -3/2*a + 3 - 3/2*a**2.
-3*(a - 1)*(a + 2)/2
Factor -15 + 20*j - 41*j**2 - 4*j**3 - 10 - 130*j.
-(j + 5)**2*(4*j + 1)
Let l(k) be the third derivative of -k**8/1344 - k**7/210 - k**6/96 - k**5/120 + 69*k**2. Determine v, given that l(v) = 0.
-2, -1, 0
Let z be (-16)/(-6) + (-16)/24. Let h be (-1)/(z*(-2)/44). Factor -h*l**2 - 4 + 6*l + 1 + 8*l**2.
-3*(l - 1)**2
Let r(v) = -v**3 + 2*v**2 - 7*v. Let z(i) = 2*i**3 - 3*i**2 + 15*i + 1. Let g(b) = 5*r(b) + 2*z(b). Factor g(c).
-(c - 2)*(c - 1)**2
Let y(q) be the first derivative of q**3/24 + 13. Solve y(j) = 0.
0
Let c = 7 - 3. Let i(a) = a**2 + 2*a + 1. Let k(x) = -x. Suppose -y - 4*z = -0*z - 9, 0 = -4*y - 2*z + 8. Let r(g) = c*k(g) + y*i(g). Factor r(t).
(t - 1)**2
Let f = 10 - 6. Let c = -4 + f. Factor 1 - 5*m**2 + m**4 + c*m**4 + 3*m**2.
(m - 1)**2*(m + 1)**2
Let f(l) = 4*l**4 + 6*l**3 - 6*l**2 - 6. Let z(o) = 5*o**4 + 6*o**3 - 7*o**2 - 7. Let i(k) = 7*f(k) - 6*z(k). What is d in i(d) = 0?
0, 3
Let i = 1/375 - -17/3000. Let z(c) be the third derivative of -2*c**2 + 0 + 0*c + 0*c**4 + 1/336*c**8 - i*c**6 + 0*c**3 + 0*c**7 + 0*c**5. Factor z(b).
b**3*(b - 1)*(b + 1)
Let o = 14 + -12. Let r be (o - 5) + (-13)/(-4). Factor -1/4 - r*d**2 - 1/2*d.
-(d + 1)**2/4
Determine n so that 10/3*n**4 - 14/3*n**3 - 10/3*n - 46/3*n**2 + 4 = 0.
-1, 2/5, 3
What is f in 2*f**2 + f**2 - f**2 + 2*f + 0*f**2 = 0?
-1, 0
Let y = 3 + 2. Suppose -p - y*n + 7 = 0, 2*n + n + 5 = 4*p. What is g in 0*g + g**p + 4*g - 5*g = 0?
0, 1
Let p(y) be the third derivative of -128*y**6/15 - 32*y**5/5 - 2*y**4 - y**3/3 + 21*y**2. Find q such that p(q) = 0.
-1/8
Suppose 13*k - 14*k = -3. Let v(b) be the third derivative of 1/75*b**5 - 1/60*b**4 + 0*b**3 + k*b**2 - 1/300*b**6 + 0*b + 0. Find x such that v(x) = 0.
0, 1
Let w = -25 + 9. Let q = 18 + w. Let 2/7*k**3 + 0 + 0*k - 2/7*k**q = 0. Calculate k.
0, 1
Let p(u) be the third derivative of -u**8/47040 + u**7/8820 + u**6/5040 - u**5/420 + u**4/6 - 4*u**2. Let t(o) be the second derivative of p(o). Factor t(w).
-(w - 2)*(w - 1)*(w + 1)/7
Suppose -3*p + 2 = -2*