t**2 + 2*t + 18. Let x(v) = -4*a(v) - 10*g(v). What is s in x(s) = 0?
-2, 4
Let u(g) be the second derivative of -g**7/70 + 3*g**5/25 + g**4/10 - 3*g**3/10 - 3*g**2/5 + 56*g. Solve u(r) = 0 for r.
-1, 1, 2
Factor -6*s + 1/2*s**3 - 11/2*s**2 + 0.
s*(s - 12)*(s + 1)/2
Let d(o) be the third derivative of 1/84*o**8 + 0*o**3 - 4*o**2 + 0 + 0*o**5 + 0*o**4 - 1/15*o**6 + 0*o + 2/105*o**7. Factor d(a).
4*a**3*(a - 1)*(a + 2)
Let f(q) = -6*q**2 + 100*q - 12. Let n(s) = -7*s**2 + 98*s - 15. Let w(d) = -5*f(d) + 4*n(d). Factor w(r).
2*r*(r - 54)
Suppose -2*n = -3*w + 1, n - 4*w + 7*w - 4 = 0. Let r(o) = o**2 - o + 2. Let i be r(n). Determine b so that -8 - 4*b - 1/2*b**i = 0.
-4
Solve 0*u + 1/4*u**5 + 7/4*u**4 + 0 + 5/2*u**3 + 0*u**2 = 0 for u.
-5, -2, 0
Let t be (-1 - 183/42)/((-12)/(-42)). Let f = t + 19. Factor -1/4*z**2 - f + 1/2*z.
-(z - 1)**2/4
Let c be (-1)/(92/8) + (1 - (-595)/230). Solve c*m - 1/2*m**4 + 5/2*m**3 - 9/2*m**2 - 1 = 0.
1, 2
Let b(g) be the third derivative of 7*g**5/15 + 43*g**4/3 + 16*g**3 + g**2 + 302. Factor b(h).
4*(h + 12)*(7*h + 2)
Let r = 61 + -58. Solve f**4 + 3*f**4 + 2*f**3 - r*f**5 + 5*f**5 = 0.
-1, 0
Let s be (-36)/(-2700)*-15 - (32/90 - 1). Factor -s*b**2 + 4/3 - 10/9*b + 2/9*b**3.
2*(b - 3)*(b - 1)*(b + 2)/9
Let b(w) = -w**3 + 19*w**2 + 29*w - 172. Let n be b(20). Let x(v) be the second derivative of n*v + 0 - 3*v**2 + 1/4*v**4 - 1/2*v**3. Factor x(t).
3*(t - 2)*(t + 1)
Suppose 10/9*f**4 + 14/9*f**2 + 0 + 2*f**3 + 4/9*f + 2/9*f**5 = 0. What is f?
-2, -1, 0
Let g be (-9 + (-556)/(-60))/(4/3). Factor 0*d + g*d**2 + 0 + 1/5*d**3.
d**2*(d + 1)/5
Let n(k) be the first derivative of 5*k**4/16 + 25*k**3/3 + 125*k**2/2 + 1. Determine x, given that n(x) = 0.
-10, 0
Let h(g) be the second derivative of -5*g**4/18 - 11*g**3/3 + 14*g**2/3 - 5*g. Factor h(w).
-2*(w + 7)*(5*w - 2)/3
Let n(o) be the first derivative of 92*o**3/3 + 226*o**2 - 40*o + 151. Factor n(g).
4*(g + 5)*(23*g - 2)
Solve -5 - 4 + w**2 + 0 + 0 - 7 = 0 for w.
-4, 4
Let h be 1810/36 - (29/(-9) + 3). Let o = h + -50. Suppose u**2 + 0 + o*u = 0. Calculate u.
-1/2, 0
Let n(m) = 6*m**4 - 48*m**3 + 428*m**2 - 968*m - 1462. Let x(b) = b**4 + b**3 - b**2 + b - 1. Let w(t) = -n(t) + 4*x(t). Factor w(u).
-2*(u - 9)**3*(u + 1)
Let c(f) be the second derivative of f**5/24 + f**4/24 - f**3/18 - f + 64. Find r such that c(r) = 0.
-1, 0, 2/5
Let f(s) be the second derivative of s**4/18 - 47*s**3/27 + 10*s**2/3 - 2*s - 249. Factor f(b).
2*(b - 15)*(3*b - 2)/9
Let j(s) be the second derivative of s**5/5 - 2*s**4/3 - 2*s**3 + 334*s. Determine u, given that j(u) = 0.
-1, 0, 3
Suppose 0 = -2*b + 3*q + 167, b + 0*b - q = 86. Let a = 91 - b. Determine s so that -2/9*s**3 + 0 + 0*s**2 + a*s = 0.
0
Let g(t) be the first derivative of -5*t**6/6 - 3*t**5 + 45*t**4/4 + 115*t**3/3 + 30*t**2 - 127. Determine i, given that g(i) = 0.
-4, -1, 0, 3
Let w(l) be the first derivative of l**3 - 24*l**2 + 45*l + 390. Find b, given that w(b) = 0.
1, 15
Factor -85*v - 77631*v**2 - 63*v + 77583*v**2 + 40.
-4*(3*v + 10)*(4*v - 1)
Let t = 53 + -35. Let a be ((1/(-3))/(2/t))/(-1). Determine d, given that 0*d**2 + 2/5*d**4 + 0*d + 0*d**a + 2/5*d**5 + 0 = 0.
-1, 0
Find t such that 12/5*t**4 + 1/5*t**5 + 4*t**3 + 0*t + 0*t**2 + 0 = 0.
-10, -2, 0
Suppose 5*s + 2*i + 354 = 0, 3*i = 2*s + s + 225. Let c be -3 + s/(-30) + 6/10. Solve c*w + 49/3*w**2 - 4/3 = 0.
-2/7, 2/7
Let w(g) = -4*g**4 - 6*g**3 - 4*g**2 - 4. Let f(s) = -21*s**4 - 30*s**3 - 19*s**2 + s - 22. Let d(p) = 2*f(p) - 11*w(p). Suppose d(y) = 0. What is y?
-1, 0
Let o(j) be the second derivative of -1/4*j**2 - 1/40*j**5 + 0 - 1/8*j**4 - 1/4*j**3 + 11*j. Let o(l) = 0. What is l?
-1
Let r(c) = -2*c**4 - 9*c**3 - 7*c**2. Let p(d) = -d**4 + d**2. Let z(u) = -10*p(u) - 2*r(u). Factor z(q).
2*q**2*(q + 1)*(7*q + 2)
Let p = -4/5 + 2. Let c be (-4)/(-10)*(2/4)/(151/302). Find b, given that p*b**3 - 6/5*b + 2/5*b**2 - 4/5 + c*b**4 = 0.
-2, -1, 1
Find j such that -30/7*j**4 + 0 + 6/7*j**3 + 0*j + 24/7*j**5 + 0*j**2 = 0.
0, 1/4, 1
Let j = 14806/15 + -987. Let h(v) be the second derivative of 0*v**2 + 0 + 1/30*v**4 + 2*v + j*v**3. What is z in h(z) = 0?
-1, 0
Let 8*p**2 - 10 - 64*p - 5*p**4 + 5*p**3 + 7*p**2 + 59*p = 0. Calculate p.
-1, 1, 2
Let i(w) be the first derivative of w**4/36 + w**3/6 + 4*w - 3. Let j(p) be the first derivative of i(p). Find g, given that j(g) = 0.
-3, 0
Let a(u) = -14*u + 84. Suppose 0 = 3*v - 8 - 10. Let c be a(v). Factor -10/9*g**5 + 0*g + 16/9*g**4 - 4/9*g**2 - 2/9*g**3 + c.
-2*g**2*(g - 1)**2*(5*g + 2)/9
Let p be (2868/(-22))/(-5*6/40). Let m = 174 - p. Solve m*l**2 + 2/11*l - 4/11 = 0 for l.
-2, 1
Suppose -3*q = 3*l + 3, -29 = -4*q + 3*l - 5. Factor 237*g**3 - 238*g**q - g + 0*g**2 - 2*g**2.
-g*(g + 1)**2
Let k be ((-6)/(-9))/(2/(-9)). Let v be (-72)/15 - k - -3. Factor 2/5*j**2 + 4/5 - v*j.
2*(j - 2)*(j - 1)/5
Factor 0 + 4/9*d**2 - 88/9*d.
4*d*(d - 22)/9
Let g = -4816 - -4820. Let 20/3*y**2 + 8*y - 4/3*y**g - 16/3 - 10*y**3 + 2*y**5 = 0. What is y?
-2, -1, 2/3, 1, 2
Let m be ((-9)/(-4))/(1*30/32). Suppose 8/5 + 4/5*z**2 + m*z = 0. Calculate z.
-2, -1
Factor 24*v**2 + 0 + 3/2*v**4 + 21/2*v**3 + 18*v.
3*v*(v + 2)**2*(v + 3)/2
Let y be ((-3)/(-2))/(-7*(-1)/28). Let m be 10/y*3/15. Factor 2/3*v - m*v**2 - 1/3.
-(v - 1)**2/3
Suppose -f = -5*x + 178, -4*f + 194 - 6 = 5*x. Determine y, given that 11*y**2 - 3*y**3 + 8*y**2 + 9*y - x*y**2 + 11*y**2 = 0.
-3, 0, 1
Let o(h) be the first derivative of -h**6/840 + h**5/140 + 3*h**4/56 - h**3 + 10. Let r(u) be the third derivative of o(u). Factor r(c).
-3*(c - 3)*(c + 1)/7
Determine j, given that 148*j**3 - 292*j**3 + 147*j**3 + 15*j**2 = 0.
-5, 0
Find i such that -10*i**2 + 37*i**4 - i**3 + 40*i**4 - 78*i**4 - 6*i**3 = 0.
-5, -2, 0
Factor 1363*o**2 - 352*o**3 - 748*o**2 + 26*o - 695*o**2 + 6.
-2*(4*o + 1)**2*(11*o - 3)
Let h = -4 + 5. Let x(o) = 7*o - 1. Let b be x(h). Factor -b - 4*n**2 - 4 - 12*n + 2.
-4*(n + 1)*(n + 2)
Let m be 108/24 + 2/(-4). Suppose m*a = -0*a + 4. Factor 3*w**2 + a + 0*w**2 - 4.
3*(w - 1)*(w + 1)
Let m(r) be the first derivative of r**6/2160 + r**5/72 - 11*r**4/144 - 17*r**3/3 - 27. Let o(a) be the third derivative of m(a). Solve o(l) = 0 for l.
-11, 1
Let u be (-138)/1173 - (0 - 642/255). Factor 4/5*i**4 - 16/5*i**2 + 8/5*i + u - 8/5*i**3.
4*(i - 3)*(i - 1)*(i + 1)**2/5
Let o(k) be the first derivative of 2*k**5/25 - 4*k**4/5 + 4*k**3/5 + 8*k**2 + 10*k - 21. Factor o(l).
2*(l - 5)**2*(l + 1)**2/5
Let b(y) be the third derivative of -y**9/756 + 4*y**3/3 + 4*y**2. Let r(n) be the first derivative of b(n). Factor r(g).
-4*g**5
Suppose -4/5*x**2 + 0 + 92/5*x - 92/5*x**3 + 4/5*x**4 = 0. What is x?
-1, 0, 1, 23
Let f(o) be the third derivative of 5*o**8/84 + 3*o**7/14 - 5*o**6/12 - o**5/4 - 2*o**2 + 86. Let f(i) = 0. Calculate i.
-3, -1/4, 0, 1
Let o(i) be the first derivative of -i**4/22 - 56*i**3/33 - 53*i**2/11 - 52*i/11 - 47. What is l in o(l) = 0?
-26, -1
Let p(y) = 4*y + 32. Let k be p(-8). Let j be 6/(-8)*2 + 3 + k. Find m, given that -j*m**3 - 3*m**2 + 0 + 0*m = 0.
-2, 0
Suppose 0 = 4*d + n + 2*n + 39, n + 17 = -2*d. Let v be (1 - -1) + d + (-208)/(-48). Suppose v*x**3 + 0 + 2/3*x**2 + 1/3*x = 0. What is x?
-1, 0
Factor 8/9*z**2 - z**5 + 0*z + 20/9*z**3 + 0 + 2/3*z**4.
-z**2*(z - 2)*(3*z + 2)**2/9
Let w(b) = b**2 - 2*b. Let l(g) = 4*g. Let s be (-4)/(-5)*(-100)/(-8). Suppose 4*x + s = -6. Let d(z) = x*w(z) - l(z). Factor d(r).
-4*r*(r - 1)
Suppose 5*h - 45 = -5*i, 0 = -h - 0*i + i + 1. Suppose -h*b - 5 = -20. Let -24/5*v**2 + 2*v**b - 4/5 + 18/5*v = 0. What is v?
2/5, 1
Let t = -30 + 50. Suppose 4*d = -t, 6 = -4*k - 3*d - 9. Factor -5 + 2*r + 2 + k*r + r + 27*r**2 + 33*r**3 + 12*r**4.
3*(r + 1)**3*(4*r - 1)
Let r(x) be the second derivative of -x**5/30 + 104*x + 1. Solve r(i) = 0 for i.
0
Let u(h) be the first derivative of 3*h**3 + 0*h - 9/5*h**5 - 1/2*h**6 + 15 + 0*h**2 + 3/4*h**4. Solve u(m) = 0.
-3, -1, 0, 1
Let y(z) = -z + 4. Let h be (-7)/(-8) + 23/184. Let g be y(h). Factor 2/5*m**4 + 0*m**2 + 0*m + 0*m**g + 0.
2*m**4/5
Let w(j) be the second derivative of 1/195*j**6 + 3/65*j**5 + 0 + 1/6*j**4 - 37*j + 4/13*j**3 + 4/13*j**2. Factor w(z).
2*(z + 1)**2*(z + 2)**2/13
Let h be (-4)/(-10)*(-55)/(-66). Determine j, given that j**3 - h*j + 0 - 2/3*j**2 = 0.
-1/3, 