7 + z - 1/48*z**4 + 0*z**3. Let v(j) be the first derivative of g(j). Suppose v(s) = 0. What is s?
-1, 1
Let i(t) be the second derivative of -11*t**6/45 - 7*t**5/6 - 13*t**4/6 - 17*t**3/9 - 2*t**2/3 - 41*t. Suppose i(l) = 0. Calculate l.
-1, -2/11
Let r(s) = -19*s - 14. Let d be r(-5). Let l = 245/3 - d. Factor 1/6*k**3 - 2/3*k**2 + 0 + l*k.
k*(k - 2)**2/6
Let t be 1/(5/(-4)) + 754/130. Let r(z) be the third derivative of 0*z**t + 0*z**3 + 0 + 0*z**4 + 1/120*z**6 + 0*z - 2*z**2. Solve r(y) = 0.
0
Let w = 14 + -10. Suppose r - w*r = -18. Factor r*d**3 - 35*d**3 + 8*d + 21*d**4 - 10*d**2 - 8 - 4*d**5 + 6*d + 22*d.
-(d - 2)**3*(d + 1)*(4*d - 1)
Let k(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r**7 + 0*r**5 - 1/780*r**6 + 0 + 0*r + 6*r**2 + 1/2184*r**8. Find s such that k(s) = 0.
-1, 0, 1
Let b be 1/7*6*5/30. Let k(x) be the first derivative of b*x**2 + 10 + 0*x + 2/21*x**3. Determine q, given that k(q) = 0.
-1, 0
Let m(a) = 8*a**2 + 14*a**2 - 9*a**2 - 5 + 21*a. Let i(x) = -4*x**2 - 7*x + 2. Let s(u) = -21*i(u) - 6*m(u). Factor s(p).
3*(p + 4)*(2*p - 1)
Let o be (9/6)/(15/20). Factor -4*y**2 + 2*y**o - 6*y**2 - 3*y + 4*y**2 + 1.
-(y + 1)*(4*y - 1)
Suppose -3/8*t**2 + 0 + 117/8*t = 0. Calculate t.
0, 39
Let h(l) = -7*l**3 - 75*l**2 + 870*l - 3459. Let v(k) = 10*k**3 + 76*k**2 - 872*k + 3460. Let s(r) = -4*h(r) - 3*v(r). Factor s(u).
-2*(u - 12)**3
Determine l, given that -54/7*l**2 - 9/7*l**3 + 72/7 + 3/7*l**4 - 12/7*l = 0.
-2, 1, 6
Let i(l) be the second derivative of l**5/4 - 15*l**4 + 55*l**3/2 + 175*l**2 + l - 283. Factor i(d).
5*(d - 35)*(d - 2)*(d + 1)
Let f be 1 - (-11)/((-44)/(-40)). Let b(q) = 3*q**3 + 7*q**2 - 10*q + 2. Let t(n) = 14*n**3 + 36*n**2 - 50*n + 11. Let m(w) = f*b(w) - 2*t(w). Factor m(c).
5*c*(c - 1)*(c + 2)
Let b = 44322/5 + -8864. Factor 8/5*g - b*g**4 + 0 + 2/5*g**2 - 8/5*g**3.
-2*g*(g - 1)*(g + 1)*(g + 4)/5
Let y(u) = -5*u**3 - 52*u**2 + 30*u + 11. Let k(n) = -n**3 - 9*n**2 + 6*n + 2. Let a(h) = 11*k(h) - 2*y(h). Factor a(f).
-f*(f - 6)*(f + 1)
Suppose 82*b = 152*b - 85*b. Factor 8/5*u**3 + 17/5*u**2 + b + 2*u + 1/5*u**4.
u*(u + 1)*(u + 2)*(u + 5)/5
Solve -498/5*y**3 - 156/5 + 18/5*y**4 - 30*y + 786/5*y**2 = 0 for y.
-1/3, 1, 26
Factor 5/4*k + 1/8*k**2 + 21/8.
(k + 3)*(k + 7)/8
Let c be (-6)/(-10)*(-70)/(-21). Solve 0*y + 0*y**c - 4/3*y**4 + 1/3*y**3 + 0 + y**5 = 0 for y.
0, 1/3, 1
Let p(f) = 20*f**4 - 6*f**3 - 4*f**2 + 2*f - 12. Let s(u) = -7*u**4 + 2*u**3 + u**2 + 4. Let b(w) = 5*p(w) + 14*s(w). Suppose b(y) = 0. Calculate y.
-2, 1
Let r(p) = -2*p**3 - 4*p**2 - p. Let j be r(-2). Find k, given that -2*k - 2*k - 10*k**2 - 10*k**2 - j*k**3 + 14*k**2 = 0.
-2, -1, 0
Let o = 327 - 326. Factor o - u - 3/4*u**2 + u**3 - 1/4*u**4.
-(u - 2)**2*(u - 1)*(u + 1)/4
Solve 1/4*x**2 + 3*x + 0 - 1/4*x**3 = 0.
-3, 0, 4
Suppose 30 + 210 = 12*y. Let 85*z + 105*z**3 + 23*z + y*z**4 + 185*z**2 + 12*z + 20 = 0. What is z?
-2, -1, -1/4
Factor 44/7*q**2 - 3/7*q**3 + 15/7*q + 0.
-q*(q - 15)*(3*q + 1)/7
Suppose -7*l = -6*l - 3. Let f(s) be the first derivative of 2/3*s**2 + 8/3*s - l + 1/18*s**3. Let f(j) = 0. Calculate j.
-4
Factor 153*n**2 - 135*n**3 - 5*n**5 - 4058*n**4 + 4103*n**4 - 18*n**2.
-5*n**2*(n - 3)**3
Let s(r) be the first derivative of r**6/2 + 126*r**5/25 + 189*r**4/10 + 164*r**3/5 + 279*r**2/10 + 54*r/5 + 489. Suppose s(f) = 0. What is f?
-3, -1, -2/5
Let k(y) be the third derivative of -31*y**2 + 0*y - 1/1020*y**6 - 1/17*y**3 + 0 - 1/102*y**5 - 7/204*y**4. Let k(w) = 0. Calculate w.
-3, -1
Let y(l) be the third derivative of 0*l**3 - 1/6*l**6 - 9*l**2 + 0*l + 4/15*l**5 + 0 + 0*l**4. Factor y(g).
-4*g**2*(5*g - 4)
Factor 4/19 - 4/19*k**2 + 2/19*k - 2/19*k**3.
-2*(k - 1)*(k + 1)*(k + 2)/19
Let m(d) be the second derivative of d**4/4 - 55*d**3/2 + 81*d**2 + 2*d - 164. Factor m(u).
3*(u - 54)*(u - 1)
Let g(h) be the second derivative of -1/10*h**4 + 1/30*h**6 + 1/25*h**5 + 0 + 1/10*h**2 - 2/15*h**3 + 14*h. Factor g(n).
(n - 1)*(n + 1)**2*(5*n - 1)/5
Suppose -7*g + 3*g + 4*f + 20 = 0, -3*g + 15 = -f. What is d in -60*d**4 - 19*d**3 - 40*d**g - 10*d**3 - 5 + 39*d**3 + 35*d**2 = 0?
-1, -1/2, 1/2
Let d = -3046 - -27454/9. Let o(x) be the first derivative of -1 - d*x**3 + 0*x - 25/6*x**4 - 4/3*x**2. Determine q so that o(q) = 0.
-2/5, 0
Let -3/8*y**2 - 33/2 + 9*y = 0. Calculate y.
2, 22
Find a, given that -2*a**5 - 2690*a**2 - 8*a - 8 - 4*a**4 - 8 + 2710*a**2 + 10*a**3 = 0.
-2, -1, 1, 2
Factor 0 - 2*t**2 - 2/11*t**3 + 0*t.
-2*t**2*(t + 11)/11
Solve -8/5*j**2 + 8/5 + 1/2*j**3 + 1/10*j**5 + 3/5*j**4 - 6/5*j = 0 for j.
-4, -2, 1
Solve -2/5*x**2 - 16/5*x - 14/5 = 0.
-7, -1
Let t(n) be the third derivative of -n**7/840 + n**6/90 - n**5/30 - 2*n**3/3 - 7*n**2. Let f(u) be the first derivative of t(u). Let f(a) = 0. What is a?
0, 2
Suppose h = 18 - 15. Let i = 2 + 2. Factor 0*r - r**h + 0*r**i + 0 + 1/3*r**5 + 2/3*r**2.
r**2*(r - 1)**2*(r + 2)/3
Suppose 8 = -18*t + 20*t. Let g be -3*t/(-54) + (-40)/(-630). Factor -4/7*j**2 - 4/7*j**3 + g*j + 2/7 + 2/7*j**5 + 2/7*j**4.
2*(j - 1)**2*(j + 1)**3/7
Let x(r) be the first derivative of -r**5/20 - r**4/16 + 17*r**3/12 - 15*r**2/8 - 155. Factor x(i).
-i*(i - 3)*(i - 1)*(i + 5)/4
Suppose 0*g**2 - 20/17*g**3 + 0*g + 2/17*g**4 + 0 = 0. Calculate g.
0, 10
Suppose 10*q - 46 = -6. Find r such that 0 - 13/3*r**3 - 4/3*r - 2*r**4 - q*r**2 - 1/3*r**5 = 0.
-2, -1, 0
Suppose 0 = -0*t - 5*t - p + 5, 2*t - 2*p - 14 = 0. Let b(o) be the second derivative of -1/48*o**4 + 3/160*o**5 + 1/8*o**t + 0 - 11*o - 1/16*o**3. Factor b(m).
(m - 1)*(m + 1)*(3*m - 2)/8
Let g = 22/73 - 8/511. Factor -4/7*p**3 - g*p**4 + 4/7*p + 0*p**2 + 2/7.
-2*(p - 1)*(p + 1)**3/7
Solve 5/2*g**3 + 66125/4 + 2305/4*g**2 + 33350*g = 0 for g.
-115, -1/2
Let k(j) be the second derivative of j**4/6 + 7*j**3/3 - 9*j**2/2 + 3*j - 4. Let o(s) = s**2 + s - 1. Let a(u) = -5*k(u) + 35*o(u). Factor a(p).
5*(p - 1)*(5*p - 2)
Factor 64/7*x - 4/7*x**3 + 4/7*x**2 - 64/7.
-4*(x - 4)*(x - 1)*(x + 4)/7
Let t(l) be the second derivative of 8/5*l**5 + 0*l**3 - 5*l - 16/3*l**4 - 2/15*l**6 + 0*l**2 + 0. Solve t(v) = 0.
0, 4
Let n(d) = -d**3 - 10*d**2 + d + 14. Let p be n(-10). Factor 0*q**3 + p + 0*q**3 - 12*q + 8*q**2 - 12*q**4 + 5*q**5 - q**5 + 8*q**3.
4*(q - 1)**4*(q + 1)
Let i = -166289/9 - -18477. Let -2/9*k**3 - i + 4/9*k + 1/3*k**2 - 1/9*k**4 = 0. What is k?
-2, 1
Let c(d) be the first derivative of 1/30*d**5 + 0*d + 1/24*d**4 - 1/12*d**2 - 4 - 1/18*d**3. What is j in c(j) = 0?
-1, 0, 1
Let i(n) be the first derivative of n**4/26 + 4*n**3/13 + 5*n**2/13 - 189. Let i(z) = 0. Calculate z.
-5, -1, 0
Suppose 7*c - 2*c - 226 = -3*l, 5*c + 5*l = 230. Suppose 9*h - 29*h**2 - 40*h**4 - 34*h**2 + 7*h + 127*h**2 + c*h**3 = 0. What is h?
-1/2, -2/5, 0, 2
Let g(s) = -5*s**3 - 21*s**2 - 21*s + 1. Let w(j) = 45*j**3 + 190*j**2 + 190*j - 10. Let v be 231/14*((-10)/(-3))/1. Let l(k) = v*g(k) + 6*w(k). Factor l(h).
-5*(h + 1)**3
Factor 2/9*p**4 - 4/9*p**3 + 0 + 2/9*p**2 + 0*p.
2*p**2*(p - 1)**2/9
Let k be (-4)/2*138/(-138). Find y, given that 10/7*y - 8/7 - 2/7*y**k = 0.
1, 4
Let x(u) be the first derivative of 20*u**3 + 90*u**2 + 130*u - 11. Let b(m) = -m**3 + m**2 + m + 1. Let l(r) = 5*b(r) - x(r). Factor l(t).
-5*(t + 1)*(t + 5)**2
Let r(q) = 7*q + 116. Let s be r(-16). Factor -2/13*n**3 + 0*n + 0 + 2/13*n**5 + 2/13*n**s - 2/13*n**2.
2*n**2*(n - 1)*(n + 1)**2/13
Suppose 3*a = -4*z + 3, 3*a + 2*z - 6*z = 27. Suppose 0*u = 5*u. Factor -a*b + b + u*b + 3*b**3 + 2*b - b**2.
b*(b - 1)*(3*b + 2)
Let n = 58 + -26. Factor 32*p**4 - 78*p**2 - n*p + 11*p - 16*p**3 - 13*p - 4.
2*(p - 2)*(p + 1)*(4*p + 1)**2
Let g(y) be the first derivative of -y**4/12 + 11*y**3 - 193. Find r, given that g(r) = 0.
0, 99
Suppose 4*n + 48 = 4*a, -25 = -3*a - 5*n + 19. Suppose a*t = 8*t + 10. Factor 2*w + 2*w**t - 5*w**3 + 2*w**3 - 2 + w**3.
-2*(w - 1)**2*(w + 1)
Let d(t) be the first derivative of t**6/18 + t**5/15 - t**4/4 - 5*t**3/9 - t**2/3 + 318. Factor d(f).
f*(f - 2)*(f + 1)**3/3
Factor -13/3*j**3 + 15*j**2 + 16/3 - 47/3*j - 1/3*j**4.
-(j - 1)**3*(j + 16)/3
Let m = -1648 + 8241/5. Factor 1/5*b**3 - 1/5*b - 1/5*b**4 + m*b**2 + 0.
-b*(b - 1)**2*(b + 1)/5
Let l(m) = 3*m**2 + m + 5. Let c be l(-6). Suppose c = 5*o + 7. Suppose -3*q**3 + o*q**2 + 5*q + 5*q**5 + 33*q**3 + 4*q**4 + 16*q**4 = 0. C