(v) = 4*v**2 + 4. Let d be p(-2). Let z be 24/42*14/d. Suppose z*u**3 + 4/5*u**2 + 0*u + 0 = 0. Calculate u.
-2, 0
Let v(h) be the second derivative of h**9/5040 - h**7/840 - h**4/3 - 8*h. Let d(n) be the third derivative of v(n). Factor d(l).
3*l**2*(l - 1)*(l + 1)
Suppose 0 = 5*y - 9 - 1. Factor -r - 6*r**3 - 6 + 5*r**y + 2*r**3 + 6.
-r*(r - 1)*(4*r - 1)
Suppose -5*b - 5*y + 81 = -9, -86 = -5*b - 4*y. Let a be b/4*(-1)/(-7). Factor c - 1/2 - a*c**2.
-(c - 1)**2/2
Let v = -59 + 59. Let i(d) be the first derivative of 2 + 3/20*d**4 + 4/5*d**3 + 6/5*d**2 + v*d. Factor i(n).
3*n*(n + 2)**2/5
Let s(m) be the first derivative of -1/5*m**4 + 0*m - 2/5*m**3 + 2/5*m**2 + 2. What is h in s(h) = 0?
-2, 0, 1/2
Solve -9/8*k**2 - 9/8*k**3 + 0 - 3/8*k - 3/8*k**4 = 0.
-1, 0
Let m(d) be the first derivative of -d**7/1050 + d**5/100 - d**4/60 + 2*d**2 + 5. Let a(x) be the second derivative of m(x). Factor a(t).
-t*(t - 1)**2*(t + 2)/5
Let v be -29 - (-5 - (-3 - -1)). Let g = 29 + v. Solve -3/4*n**2 + 9/4*n**5 - 21/4*n**4 + 0 + 0*n + 15/4*n**g = 0 for n.
0, 1/3, 1
Let p(k) be the third derivative of 8*k**2 + 0 + 0*k - 1/10*k**6 + 0*k**3 + 2/105*k**7 + 1/5*k**5 - 1/6*k**4. Determine a, given that p(a) = 0.
0, 1
Let x be (-6)/(-6 + 5) + 2*-2. Factor -1/4*i**x + 0 + 1/2*i.
-i*(i - 2)/4
Let q(j) = j**2 + 3*j - 4. Let m(f) = -12*f**2 - 39*f + 51. Let i(p) = -2*m(p) - 27*q(p). Factor i(d).
-3*(d - 1)*(d + 2)
Suppose -16 = -5*y + 4. Suppose -y*l + 6 = -l. Factor 0*k**2 - 2*k + 4*k**l - 2*k**2.
2*k*(k - 1)
Let w(p) = p**3 + 2*p**2 - 3*p + 3. Let l be w(-3). Let y(h) be the first derivative of 8*h - 8*h - h**2 + 2 - 2*h**l - h**4. Factor y(c).
-2*c*(c + 1)*(2*c + 1)
Let y(o) be the first derivative of -o**5/210 - 4*o**2 + 2. Let n(a) be the second derivative of y(a). What is k in n(k) = 0?
0
What is m in -44/3*m**2 + 16*m - 2/3*m**4 + 16/3*m**3 - 6 = 0?
1, 3
Find m, given that 3 + m - 4*m - 3*m**2 - 9*m**2 - 6*m = 0.
-1, 1/4
Let u(z) = -5*z - 7. Let d be u(-2). Let n(w) be the first derivative of -2 + 2/9*w**d + 0*w - 2/3*w**2. Find v such that n(v) = 0.
0, 2
Let x = 50 + -47. Let t(d) be the first derivative of 0*d + 3 + 1/5*d**2 - 1/10*d**4 + 2/25*d**5 - 2/15*d**x. Factor t(j).
2*j*(j - 1)**2*(j + 1)/5
Let d(t) be the second derivative of -t**4/4 + 7*t**3/2 - 9*t**2 - 20*t. Find a such that d(a) = 0.
1, 6
Let l(h) be the first derivative of -h**3 - 2 + 7/12*h**4 + 0*h + 1/3*h**2. Factor l(i).
i*(i - 1)*(7*i - 2)/3
Let o(z) be the third derivative of -1/108*z**4 + 0*z - 1/540*z**6 + 0*z**3 - 2/189*z**8 + 8/315*z**7 - 1/45*z**5 - z**2 + 0. Factor o(g).
-2*g*(g - 1)**2*(4*g + 1)**2/9
Let h(k) be the third derivative of -1/1344*k**8 + 1/480*k**6 + 0*k**4 + 1/840*k**7 - 4*k**2 + 0*k + 0*k**3 - 1/240*k**5 + 0. Suppose h(b) = 0. What is b?
-1, 0, 1
Let u(g) be the first derivative of 0*g + 1/5*g**2 + 4/15*g**3 + 1/10*g**4 + 2. Find v, given that u(v) = 0.
-1, 0
Suppose 72*a + 53*a**2 - 11*a**2 + 75*a - 3*a**3 + 6*a**3 = 0. Calculate a.
-7, 0
Suppose 0*r + 6 = 2*r. Let x(w) be the second derivative of 0 - 1/6*w**r + w - 1/20*w**5 + 1/6*w**4 + 0*w**2. Factor x(s).
-s*(s - 1)**2
Suppose -6*y + y - 5*k + 85 = 0, 2*y + 4*k = 40. Let u be 4/y - 8/(-21). Factor -u*m**3 + 1/3*m + 2/3*m**2 - 1/3 + 1/3*m**5 - 1/3*m**4.
(m - 1)**3*(m + 1)**2/3
Suppose -3*y + 72 - 72 = 0. Let k(r) be the third derivative of 1/210*r**5 + 0*r**3 + y*r + 1/84*r**4 + 0 - 3*r**2. Suppose k(p) = 0. What is p?
-1, 0
Let r(f) = -f**4 - f**3 - f + 1. Let h(a) = 34*a**4 + 110*a**3 + 80*a**2 - 26*a - 6. Let t(o) = h(o) + 6*r(o). Let t(z) = 0. What is z?
-2, 0, 2/7
Let f(x) be the third derivative of 5*x**6/132 + x**5/22 - 3*x**4/44 + x**3/33 - 4*x**2. Determine z so that f(z) = 0.
-1, 1/5
Solve -11*u**3 - 9*u**2 - 17*u**3 + 8*u**4 - 4*u + 27*u**2 + 10*u**4 - 4*u**5 = 0.
0, 1/2, 1, 2
Let c(n) be the second derivative of -7*n**6/10 - 3*n**5/10 + 7*n**4/4 + n**3 + 6*n. Factor c(y).
-3*y*(y - 1)*(y + 1)*(7*y + 2)
Suppose 7*x - 1576 + 1548 = 0. Factor 0*r**3 + 2/7*r**5 - 2/7*r + 4/7*r**x - 4/7*r**2 + 0.
2*r*(r - 1)*(r + 1)**3/7
Let w(o) be the first derivative of o**2 + 4*o - 1/2*o**4 - 1 - 4/3*o**3. Let w(l) = 0. Calculate l.
-2, -1, 1
Suppose 4*x = -3*p - 0*x - 262, 10 = 5*x. Let d = -628/7 - p. Let -d*q**2 + 0 + 0*q = 0. Calculate q.
0
Let i(p) be the second derivative of -19/2*p**4 - 7*p - 12*p**2 - 15/4*p**5 - 1/14*p**7 - 4/5*p**6 + 0 - 14*p**3. Factor i(h).
-3*(h + 1)**2*(h + 2)**3
Let y = -138 - -138. Suppose 0 + 0*z + 2/5*z**3 - 1/5*z**4 + y*z**2 = 0. What is z?
0, 2
Let h(y) = -y**2 + y + 2. Let o be h(3). Let r be (4/(-8))/(1/o). Let 0 + 0 + 0 + 4*v - 2*v**3 + r*v**2 = 0. What is v?
-1, 0, 2
Suppose -3*l + 12 = -0*l. Find b such that -2*b - b + b + l*b**2 + 2*b**3 - 2 - 2*b**2 = 0.
-1, 1
Factor -4*a**3 + a**4 + 3*a**4 + 6*a**3 + 2*a**5.
2*a**3*(a + 1)**2
Let v be ((-4)/10)/((-24)/20). Let x = -3 - -6. Factor -1/3*d**x - v*d**2 + 0 + 0*d.
-d**2*(d + 1)/3
Let f = 43/1515 - -1/202. Let g(n) be the third derivative of 0*n + 0*n**3 - 1/120*n**6 - f*n**5 - 1/24*n**4 + n**2 + 0. Factor g(w).
-w*(w + 1)**2
Suppose 2*m + m = 18. Let w(l) = -11*l**2 - 4*l + 5. Let k(j) = -3*j + 4. Let t be k(3). Let f(r) = -12*r**2 - 4*r + 6. Let b(y) = m*w(y) + t*f(y). Factor b(z).
-2*z*(3*z + 2)
Let k(g) be the third derivative of -g**5/20 + g**2. Solve k(a) = 0.
0
Let b(w) = -w**3 + 12*w**2 - 11*w - 8. Let k be b(11). Let v(l) = -l**3 - 8*l**2 - l - 5. Let a be v(k). Factor 1/4*y**a + 3/4*y**2 + 3/4*y + 1/4.
(y + 1)**3/4
Let q = 315/1252 - 1/626. Factor q*r**3 - 1/4*r - 1/4 + 1/4*r**2.
(r - 1)*(r + 1)**2/4
Let h(x) = -45*x**2 + 2*x + 2. Let o be h(-1). Let l be 1*20*(-6)/o. Factor 0*k + 0 + l*k**4 + 2/3*k**2 + 10/3*k**3.
2*k**2*(k + 1)*(4*k + 1)/3
Let p(x) = x**3 - 5*x**2 + x - 2. Let v be p(5). Find u, given that -2*u**5 + 2*u**v + u**2 + u**2 + 0*u**5 - 2*u**4 = 0.
-1, 0, 1
Suppose 9 = 4*x - 3*n, -2*x - n + 7 = -0*n. Let w(h) be the second derivative of 0*h**2 - 3*h - 1/3*h**x + 0 - 1/3*h**4. Let w(y) = 0. What is y?
-1/2, 0
Let x = 20 + -13. Let n = x - 7. Factor n*r - 1/3*r**2 + 0.
-r**2/3
Suppose -s = 4*s - 20. Suppose -3*j + j + 2 = 0, -5*x + s*j + 16 = 0. What is f in 0 - 50/7*f**x - 8/7*f - 48/7*f**2 - 90/7*f**3 = 0?
-1, -2/5, 0
Let l be (-15)/(-9) + (-10)/15. Suppose -b + l + b**2 + 4*b - 5*b = 0. What is b?
1
Solve -7*t + 10*t**2 + 8*t - 6*t = 0.
0, 1/2
Let c(n) be the first derivative of 2*n**5/45 + 11*n**4/18 + 2*n**3/3 - 119*n**2/9 + 196*n/9 - 19. Factor c(b).
2*(b - 2)*(b - 1)*(b + 7)**2/9
Let q(m) be the third derivative of m**6/240 + m**5/120 - 5*m**4/48 + m**3/4 + 5*m**2. Factor q(j).
(j - 1)**2*(j + 3)/2
Suppose 3*a - 4*a + 5*h - 23 = 0, -3*a - 19 = -5*h. Factor -9/5*s**a + s**3 - 1/5*s**4 + 7/5*s - 2/5.
-(s - 2)*(s - 1)**3/5
Determine t so that 9/4*t + 0 + 3/2*t**2 - 8*t**4 - 8*t**3 = 0.
-3/4, 0, 1/2
Let u = -2455/9 + 273. Let 0 + u*g**2 - 2/9*g = 0. What is g?
0, 1
Let a(j) be the third derivative of 0 + 11/56*j**4 + 1/70*j**6 - 13/140*j**5 - 1/7*j**3 + 0*j + 8*j**2. Factor a(o).
3*(o - 2)*(o - 1)*(4*o - 1)/7
Let u(k) = -k**2 - k. Let n(l) = -9*l**4 - 29*l**3 - 40*l**2 - 22*l - 2. Let c(a) = 2*n(a) - 14*u(a). Find v such that c(v) = 0.
-1, -2/9
Let 4*x**3 + 2*x**2 + x**3 - 4*x**3 - 3*x**3 = 0. Calculate x.
0, 1
Let o(a) = -8*a**2 - 3*a. Let i be o(-2). Let v be i/(-18) - (6 - 5). Let -2/9*l**2 - 2/9*l + v = 0. What is l?
-2, 1
Let x be ((-6)/5)/(6/(-15)). Suppose 6*l**3 - x*l**3 - l**3 + 6*l**2 + 4*l = 0. Calculate l.
-2, -1, 0
Suppose -3*d - 2*d + 10 = 5*r, 0 = -4*r - 3*d + 6. Let z(s) be the second derivative of r - 2*s + 0*s**3 + 0*s**2 - 1/9*s**4 - 1/6*s**5. Factor z(f).
-2*f**2*(5*f + 2)/3
Let c be 4/(-20) - 162/15. Let n(j) = j**3 - 5*j**2 + 4*j. Let w(a) = -3*a**3 + 15*a**2 - 13*a + 1. Let l(r) = c*n(r) - 4*w(r). Factor l(g).
(g - 2)**2*(g - 1)
Suppose 0 = 2*j - q - 9, 3*q = -4*j + q - 2. Solve 1 + 2*n**2 - 2*n**2 - n**j = 0.
-1, 1
Suppose -5*b = -5*a, -3*a = 2*b - 0*a - 20. Suppose -2*s + b = -12. Factor 8*p - s*p - 2*p**3 + 2*p**2.
-2*p**2*(p - 1)
Let p(y) be the second derivative of y**4/84 + 2*y**3/21 + 2*y**2/7 + 18*y. Solve p(a) = 0.
-2
Let u(x) be the third derivative of -7*x**6/780 - x**5/78 + x**4/78 - 11*x**2. Solve u(k) = 0 for k.
-1, 0, 2/7
Let m be (-8)/(-2) - (-2015)/(-1180). Let t = m 