 the second derivative of 9*a - a**2 + 0*a**3 + 0*a**5 + 1/3*a**4 - 1/15*a**6 + 0. Factor y(r).
-2*(r - 1)**2*(r + 1)**2
Let s(o) be the second derivative of 1/8*o**3 + 1/4*o**4 + 0*o**2 + 9/40*o**5 + 0 + 1/56*o**7 + 1/10*o**6 - 20*o. Suppose s(i) = 0. What is i?
-1, 0
Let j(z) be the first derivative of 0*z + 8/5*z**5 - 80/3*z**3 - 21*z**4 - 8*z**2 + 12 + 14/3*z**6. Determine q, given that j(q) = 0.
-1, -2/7, 0, 2
Factor -55/2*t**2 + 0 + 5/4*t**3 + 50*t.
5*t*(t - 20)*(t - 2)/4
Let u(r) = 20*r**2 - 3772*r + 176696. Let j(c) = 12*c**2 - 2263*c + 106018. Let s(q) = 12*j(q) - 7*u(q). Factor s(g).
4*(g - 94)**2
Let y(v) = -147*v**4 + 573*v**3 - 273*v**2 - 99*v + 81. Let s(t) = 21*t**4 - 82*t**3 + 39*t**2 + 14*t - 12. Let b(o) = -27*s(o) - 4*y(o). Factor b(x).
3*x*(x - 3)*(x - 1)*(7*x + 2)
Let q(n) be the first derivative of -10 + 1/20*n**2 + 0*n - 1/30*n**3. Suppose q(f) = 0. What is f?
0, 1
Let b(c) = -347*c - 9713. Let x be b(-28). Determine f, given that 0*f + 0 - 8/7*f**2 - 2/7*f**5 + 2/7*f**4 + 8/7*f**x = 0.
-2, 0, 1, 2
Let q(s) = 10*s - 88. Let o be q(9). Let w(n) be the first derivative of o - 2*n + 2*n**2 - 2/3*n**3. Factor w(u).
-2*(u - 1)**2
Let r(h) be the third derivative of 0*h + 0*h**3 + 1/6*h**5 - 1/8*h**6 + 0*h**4 - 2/7*h**7 - 5/48*h**8 + 41*h**2 + 0. Find u such that r(u) = 0.
-1, 0, 2/7
Let y(s) be the second derivative of s**7/168 + s**6/10 - 3*s**5/16 - 13*s**4/24 + 103*s - 1. Solve y(a) = 0.
-13, -1, 0, 2
Let k(r) be the second derivative of r**7/21 + 10*r**6/63 + 13*r**5/105 - 2*r**4/21 - r**3/9 + 2*r**2/21 + 3*r + 12. Determine a, given that k(a) = 0.
-1, 2/7, 1/3
Let 214/9*d + 8/9*d**2 - 280/9 = 0. What is d?
-28, 5/4
Let k = -33847 - -2910991/86. Let u = k + -10/43. Solve 1 - u*o + 1/2*o**2 = 0 for o.
1, 2
Let q = -5226799/35460 - 1/7092. Let s = -147 - q. Factor s*g**2 + 0 - 2/5*g.
2*g*(g - 1)/5
Suppose -7 + 0 = 3*x + 4*j, 2*x + 5*j + 14 = 0. Factor -4/3*i**x + 0 - 2/3*i**4 + 4/3*i + 2/3*i**2.
-2*i*(i - 1)*(i + 1)*(i + 2)/3
Let o(h) be the third derivative of h**5/15 + 3*h**4/4 - 5*h**3/3 + h**2 - 18*h. Factor o(u).
2*(u + 5)*(2*u - 1)
Let x(z) = -z**3 - 27*z**2 - 43*z + 75. Let l(r) = 2*r**3 + 81*r**2 + 128*r - 225. Let w(c) = -2*l(c) - 7*x(c). Determine v so that w(v) = 0.
-5, 1
Let u(t) be the first derivative of -t**6/21 + 6*t**5/35 + 9*t**4/14 - 18*t**3/7 + 13. Suppose u(g) = 0. What is g?
-3, 0, 3
Suppose -3*x + 29 = x - 5*r, -28 = -3*x + 5*r. Let i be 255/153 + x/3. Suppose 3/7*a**i + 3/7 + 6/7*a = 0. What is a?
-1
Suppose 0 = 2*z - 3*t - 12, -5*z - t = -5*t - 23. What is i in 3/5*i + 0 + 6/5*i**4 + 0*i**z - 3/5*i**5 - 6/5*i**2 = 0?
-1, 0, 1
Let d(k) be the second derivative of k**4/3 - 220*k**3/3 + 6050*k**2 - 66*k + 2. Factor d(j).
4*(j - 55)**2
Let v(h) be the first derivative of h**5/160 + h**4/32 - 7*h**2 - 6. Let j(o) be the second derivative of v(o). Determine r, given that j(r) = 0.
-2, 0
Let y be 30/25*-25*16/(-420). Solve -y*r - 4/7 + 5/7*r**2 = 0 for r.
-2/5, 2
Let g(s) be the first derivative of 13 - 25/3*s**3 - 5*s**2 + 0*s - s**5 - 5*s**4. Factor g(f).
-5*f*(f + 1)**2*(f + 2)
Let m(s) be the first derivative of 0*s + 2*s**2 - 1/15*s**5 + 2/3*s**3 + 2 + 0*s**4. Let y(z) be the second derivative of m(z). Factor y(h).
-4*(h - 1)*(h + 1)
Factor -15/2*c - 27/4 - 3/4*c**2.
-3*(c + 1)*(c + 9)/4
Let g = 11 - 9. Let 5*t + 3 - 5*t**2 + 12 - g - 8 - 5*t**3 = 0. What is t?
-1, 1
Factor 14/19*z - 12/19 + 0*z**2 - 2/19*z**3.
-2*(z - 2)*(z - 1)*(z + 3)/19
Let d = -19 - -22. Suppose 4 = -d*f + t + 15, 4*t - 11 = f. Factor 5/2*z**3 - z**2 - 2*z**4 + 0*z + 1/2*z**f + 0.
z**2*(z - 2)*(z - 1)**2/2
Let q(h) be the third derivative of 25*h**2 + 0 - 1/24*h**5 - 1/6*h**3 + 7/48*h**4 + 0*h. Solve q(w) = 0 for w.
2/5, 1
Suppose -8*p = 124 + 188. Let b be -2 + 21/4 - p/(-13). Factor 1/2*z**2 - b*z**3 - 1/2 + 1/4*z.
-(z - 2)*(z - 1)*(z + 1)/4
Let m(j) be the first derivative of -j**7/840 + j**6/180 - 9*j**3 + 4. Let y(l) be the third derivative of m(l). Suppose y(a) = 0. Calculate a.
0, 2
Let b(x) = -2*x**2 + x + 1. Let t(z) = -15*z**4 - 27*z**3 + 62*z**2 + 110*z - 22. Let m(k) = 2*b(k) - t(k). Suppose m(w) = 0. Calculate w.
-2, 1/5, 2
Let o = -3193 + 15969/5. Find t such that -12/5*t**2 + 4/5*t**4 + 8/5 + o*t**3 - 4/5*t = 0.
-2, -1, 1
Let c be ((-1120)/700 - (-146)/15) + -8. Factor 4/15*t + c*t**2 + 0.
2*t*(t + 2)/15
Suppose 15*k - 7*k - 136 = 0. Let d = k + -65/4. Let 9/4*c**2 + d*c**4 + 9/4*c**3 + 3/4*c + 0 = 0. Calculate c.
-1, 0
Let j(g) be the third derivative of -g**6/1080 + 47*g**5/540 - 22*g**4/9 - 32*g**3/3 + 129*g**2. Factor j(c).
-(c - 24)**2*(c + 1)/9
Let t(k) be the third derivative of k**8/26880 + 3*k**4/8 + 3*k**2. Let i(w) be the second derivative of t(w). Find u such that i(u) = 0.
0
Let a = -6386 + 25737/4. Let i = -48 + a. What is z in 5/8*z - i + 1/4*z**2 - 5/8*z**3 = 0?
-1, 2/5, 1
Suppose 8*w - 8 = 12*w. Let x be 5*(3 + -1)*w/(-4). Factor 0 + 2*g**4 + 4*g**2 + 1/3*g**x + 13/3*g**3 + 4/3*g.
g*(g + 1)**2*(g + 2)**2/3
Let n = -541 + 546. Solve -1/7*q**2 + 1/7*q**4 + 0 - 2/7*q + 3/7*q**3 - 1/7*q**n = 0.
-1, 0, 1, 2
Let u(i) be the second derivative of i**5/20 + 11*i**4/4 + 85*i**3/2 - 289*i**2/2 - 302*i + 2. Let u(j) = 0. Calculate j.
-17, 1
Let b(v) be the third derivative of -v**5/180 + 47*v**4/72 - 385*v**2. Factor b(d).
-d*(d - 47)/3
Let i(m) be the second derivative of -m**6/1260 - m**5/315 + m**4/252 + 2*m**3/63 - 6*m**2 - 19*m. Let l(q) be the first derivative of i(q). Factor l(x).
-2*(x - 1)*(x + 1)*(x + 2)/21
Let b be (10/(-15))/(16/(-6)). Let a(r) be the first derivative of -5/8*r**2 - 1/2*r + 1/20*r**5 - b*r**3 + 1/16*r**4 + 4. Factor a(s).
(s - 2)*(s + 1)**3/4
Factor 30/7*f + 0 - 3/7*f**2.
-3*f*(f - 10)/7
Let t be -18 - -17 - (-8057)/11. Let i = 732 - t. What is z in 2/11*z - i + 4/11*z**2 = 0?
-3/2, 1
Let q(p) be the second derivative of p**5/40 + 3*p**4/16 + p**3/2 - 21*p**2 + 27*p. Let k(c) be the first derivative of q(c). Solve k(u) = 0.
-2, -1
Let s(a) = -a**3 + 8*a**2 - 11*a - 20. Let x be s(5). Let u(p) be the first derivative of -1/2*p**4 + 0*p**3 + 0*p + x*p**2 + 8 - 2/5*p**5. Factor u(r).
-2*r**3*(r + 1)
Let s(t) be the second derivative of -29/72*t**4 + 0 - 49/3*t**2 - 18*t - 1/120*t**5 - 56/9*t**3. Factor s(r).
-(r + 1)*(r + 14)**2/6
Let p = 94/35473 - -31305739/6385140. Let s = p + -67/20. Factor 8/9*t**4 - 26/9*t**3 + 2/9 + 10/3*t**2 - s*t.
2*(t - 1)**3*(4*t - 1)/9
Suppose 561*w - 16 = 557*w. Determine d so that 27/2*d**w + 31*d**2 + 7/4*d**5 + 15/4*d + 69/2*d**3 - 9/2 = 0.
-3, -1, 2/7
Suppose f = -4, b + 2*f = 8 - 13. Find t, given that 1/8*t**b - 1/2*t + 0 + 3/8*t**2 = 0.
-4, 0, 1
Solve -2/5*d**4 + 2/5*d - 2/5 + 4/5*d**2 - 4/5*d**3 + 2/5*d**5 = 0.
-1, 1
Suppose -2*h + 14 = -c + 1, 5*h - 2*c = 31. Let p(n) = n**3 + 4*n**2 - 5*n + 2. Let t be p(-5). Find r such that -r**2 + 4 - h*r**2 - 3 - 2*r + 7*r**t = 0.
1
Let h = 134158/7 + -19165. Find b, given that 1/7*b**4 + 1/7*b**2 - 2/7 - 3/7*b + h*b**3 = 0.
-2, -1, 1
Let r = -297 + 301. Let i(w) be the second derivative of 0 - w - 3/4*w**5 - 3/10*w**6 + 0*w**2 + 1/2*w**3 - 1/4*w**r. Factor i(a).
-3*a*(a + 1)**2*(3*a - 1)
Suppose 91 + 15*h**2 - 117*h**4 + 45*h**3 - 112 + 123*h**4 - 45*h = 0. Calculate h.
-7, -1, -1/2, 1
Let k be 2 + -2*(-5)/(-10)*0. Let t(q) be the third derivative of -1/240*q**6 + 0*q**4 + 0*q**3 + 0*q**5 + 0*q + 0 + 3*q**k. Factor t(j).
-j**3/2
Let -99/2*m**4 - 45/2*m**2 + 3*m + 27/2*m**5 + 0 + 111/2*m**3 = 0. What is m?
0, 1/3, 1, 2
Suppose 19/8*b + 0 - 1/8*b**2 = 0. What is b?
0, 19
Let v(k) be the third derivative of k**7/105 - k**6/90 - k**5/6 - k**4/3 + 4*k**3 - 13*k**2. Let x(q) be the first derivative of v(q). Factor x(h).
4*(h - 2)*(h + 1)*(2*h + 1)
Let c(x) be the first derivative of 3*x**6/5 + 18*x**5/5 + 3*x**4 - 76*x**3/9 + 5*x**2 - 6*x/5 + 1. Suppose c(g) = 0. Calculate g.
-3, 1/3
Let a(g) = g**2 + 19*g - 1237. Let q be a(27). Let 0*m - 1/5*m**q + 0*m**3 + 1/5*m**4 + 0 + 0*m**2 = 0. Calculate m.
0, 1
Let l(r) be the second derivative of -r**7/147 - r**6/21 - 3*r**5/70 + 5*r**4/42 + 4*r**3/21 - 439*r. What is w in l(w) = 0?
-4, -1, 0, 1
Let j(w) = -w**2 + w. Let a be j(4). Let l be a/(-42) + (-38)/(-14). Factor 2*n**2 - 4*n + 4*n**3 + 3*n - 3*n**l - 3*n**2 + n**4.
n*(n - 1)*(n + 1)**2
Let u(q) = -2*q - 21.