k**2 + 0*k**3 - 1/330*k**6 + 0*k**4 + 0 + 1/1848*k**8 + 0*k**5. Suppose m(y) = 0. What is y?
-2, 0, 1
Factor 27*r**2 - 7*r**4 + r**3 - 5*r**4 - 89*r**3 + 128*r - 99*r**2 - 56*r**2.
-4*r*(r + 4)**2*(3*r - 2)
Let i = 175312/5 - 35062. Solve 24/5*x**3 + 0 - 12/5*x**2 + i*x + 6/5*x**5 - 4*x**4 = 0.
0, 1/3, 1
Factor -14*h**3 - 42 - 5*h**4 - 50 - 88 - 65*h**2 - 310*h + 10*h + 64*h**3.
-5*(h - 6)**2*(h + 1)**2
Factor 44 - 21 - 6*s**2 + 0*s + 6 + 33*s - 3*s**3 + 7.
-3*(s - 3)*(s + 1)*(s + 4)
Let g = 8030 - 8028. What is x in -30*x**g - 640 - 5/4*x**3 - 240*x = 0?
-8
Suppose 0 = 11*k + 760 + 1022. Let r be (2*(-1 - 0))/(405/k). Solve 0*o**3 + 2/5*o**5 - 2/5*o - r*o**2 + 0 + 4/5*o**4 = 0.
-1, 0, 1
Let s(m) = -m**2 + 1. Let q(r) = -3*r**2 + 3. Let v(i) = -q(i) + 4*s(i). Let d(p) = 2*p**2 + 3*p - 3. Let o(a) = d(a) + 3*v(a). Factor o(g).
-g*(g - 3)
Let g be -2*15/(-12)*(-1)/(-5). Let p(v) be the first derivative of -1/8*v**4 + 0*v - 3/10*v**5 + g*v**3 + 1/4*v**2 + 2. Find k, given that p(k) = 0.
-1, -1/3, 0, 1
Solve 17/9*g**3 + 295/9*g - 1/9*g**4 - 107/9*g**2 - 100/3 = 0 for g.
3, 4, 5
Let f(k) = 10*k**3 + 195*k**2 - 371*k + 187. Let c(b) = 4*b**3 + 97*b**2 - 185*b + 93. Let s(w) = -14*c(w) + 6*f(w). Factor s(z).
4*(z - 45)*(z - 1)**2
Let b(i) = -i**3 + 11*i**2 - 11*i + 14. Suppose -2*h + 23 = 3. Let j be b(h). What is d in 0 + 2/9*d + 2/9*d**j + 2/3*d**2 + 2/3*d**3 = 0?
-1, 0
Let n be 6/5*30/9. Let g(r) be the first derivative of -3/8*r**n + 0*r**3 + 3/4*r**2 + 0*r + 1. Determine o, given that g(o) = 0.
-1, 0, 1
Let q(m) be the first derivative of -m**3/8 + 123*m**2/16 - 15*m + 242. Factor q(v).
-3*(v - 40)*(v - 1)/8
Let z(f) be the second derivative of -f**7/189 - 2*f**6/27 - 23*f**5/90 - 7*f**4/27 - 10*f - 3. Let z(r) = 0. Calculate r.
-7, -2, -1, 0
Let c = -7526 + 7528. Factor 1/4 - 1/8*p**c + 1/8*p.
-(p - 2)*(p + 1)/8
Let s(f) = 6*f + 9. Let r be s(1). Let m be (15/(-9))/(r/(-18)). Factor -10/9*l - 4/9 - 4/9*l**m.
-2*(l + 2)*(2*l + 1)/9
Let v be (-12)/4*(-20)/6. Let g = v + -8. Find x, given that -x**2 - 4*x**2 + 6*x + 3*x**g - x**2 = 0.
0, 2
Let r(j) be the first derivative of j**6/15 - 4*j**5/25 - 3*j**4/10 + 8*j**3/15 + 4*j**2/5 - 41. Factor r(q).
2*q*(q - 2)**2*(q + 1)**2/5
Let j(u) = u + 13. Let s be j(-10). Factor s*i - 3*i - 35*i**2 - 10*i.
-5*i*(7*i + 2)
Let m be 16/(-56) - 68/(-42). Let f be 3*((-440)/(-198) - (-4)/(-3)). Determine t, given that 8/3 + m*t - f*t**2 - 4/3*t**3 = 0.
-2, -1, 1
Let w = -355 - -359. Let h(a) be the second derivative of 0 - 13/6*a**4 + w*a**2 - 4*a - 10/3*a**3 - 7/20*a**5. Let h(p) = 0. What is p?
-2, 2/7
Let z be 105/(-20)*(-3 - (-3)/9). Let t = 17 - z. Factor 0*h + 0 - 1/7*h**2 - 4/7*h**4 + 4/7*h**t.
-h**2*(2*h - 1)**2/7
Let n be (-1095)/(-18) + (-5)/(-30) + 1. Let g be 22/99 - n/(-45). Determine w, given that 4/5*w**5 + 0 + 4/5*w + 0*w**2 + 0*w**4 - g*w**3 = 0.
-1, 0, 1
Find z such that 18*z**2 + 58/5*z + 8/5*z**4 + 12/5 + 48/5*z**3 = 0.
-3, -2, -1/2
Find z, given that 29*z**2 + z**2 - 3*z**3 + 20*z**2 + 3*z**2 - 2*z**2 = 0.
0, 17
Factor -94*i**5 - 2 - 91*i**5 + 7*i**4 - 6*i - i**4 - 4*i**2 + 4*i**3 + 187*i**5.
2*(i - 1)*(i + 1)**4
Let o be 2489/627 - 21/9. Factor 28/11*u**3 + 4/11 + 12/11*u**4 + 32/11*u**2 + 2/11*u**5 + o*u.
2*(u + 1)**4*(u + 2)/11
Let s be -4 + -5 + 10 + 1/1. Let b be ((-45)/10 - -4)/(s/(-8)). Factor 3/2*u**b - 3*u + 0.
3*u*(u - 2)/2
Let b(n) be the first derivative of 4*n**3/3 - 4*n + 146. Solve b(o) = 0.
-1, 1
Let k(f) be the third derivative of -8*f**2 + 0 + 1/54*f**4 + 0*f - 1/270*f**5 - 1/27*f**3. Determine v so that k(v) = 0.
1
Let b = 122 + -120. Suppose -2*a = -4*j + 8*j + 6, -9 = b*a + 5*j. Factor 1/2*l**4 + 0 - 1/2*l**2 + 1/2*l**5 - 1/2*l**a + 0*l.
l**2*(l - 1)*(l + 1)**2/2
Let o(m) be the third derivative of -m**5/15 - 7*m**4/6 - 20*m**3/3 + 342*m**2. Factor o(h).
-4*(h + 2)*(h + 5)
Determine r so that -7*r**3 + 6*r**3 + 360*r - 5*r**5 + 2*r**3 + 180 + 4*r**3 - 25*r**4 + 205*r**2 = 0.
-3, -2, -1, 3
Let b(n) be the third derivative of 0*n - 5/8*n**4 + 11*n**2 + 5/3*n**3 + 1/12*n**5 + 0. Let b(j) = 0. What is j?
1, 2
Find d, given that 75/7*d + 3/7*d**2 - 75/7 - 3/7*d**3 = 0.
-5, 1, 5
Factor 0 + 2/9*s**3 + 0*s + 14/9*s**2.
2*s**2*(s + 7)/9
Let g(s) be the second derivative of s**4/36 - 23*s**3/18 + 10*s**2 + 298*s - 1. Determine x, given that g(x) = 0.
3, 20
Let o(l) be the third derivative of l**6/300 - 4*l**5/25 + 11*l**4/4 - 242*l**3/15 + 43*l**2. Factor o(s).
2*(s - 11)**2*(s - 2)/5
Let h(z) = 90*z - 55*z**2 - 5*z + 31 - 6 + 65*z. Let t(o) = -9*o**2 + 25*o + 4. Let c(y) = -4*h(y) + 25*t(y). Factor c(w).
-5*w*(w - 5)
Let q = 138701/5260 - 5/263. Let b = q - 113/5. Factor -3/2*u - b*u**2 - 3/4*u**4 + 0 - 3*u**3.
-3*u*(u + 1)**2*(u + 2)/4
Solve -43/5*s + 14/5 - 17/5*s**3 + 1/5*s**4 + 9*s**2 = 0 for s.
1, 14
Let k(p) = 2*p**2 + 5*p - 4. Let d(t) = -3*t**2 - 8*t + 0 + 5 + 2*t. Let w be -4 + (-5)/((-5)/7). Let i(l) = w*d(l) + 4*k(l). Factor i(y).
-(y - 1)**2
Let g be (-4)/30 - 924/(-180). Suppose -2*y + 8 = x, x + 3*x = -g*y + 14. Let -3/2 + 3/2*j**2 + y*j**3 - 6*j = 0. What is j?
-1, -1/4, 1
Factor 16/3 + 4/3*s**3 + 44/3*s + 12*s**2 - 4/3*s**4.
-4*(s - 4)*(s + 1)**3/3
Let o = 4 + -1. Suppose o*f + 0 - 9 = 0. Factor -3*d**f - d**3 + d**3.
-3*d**3
Suppose 10*l - 16 = 8*l. Factor m**4 + 2*m**2 + 4*m**3 + 812*m - 808*m - 3 - l*m**3.
(m - 3)*(m - 1)**2*(m + 1)
Let k be ((-2)/(-4))/(5/160). Suppose u - k = -3*u. Factor -4*l**3 + 3*l**u + 24*l**2 - 3*l - 5*l**3 - 15*l**2.
3*l*(l - 1)**3
Let f(l) be the second derivative of -l**4/9 + 146*l**3/9 - 48*l**2 - 816*l. Determine c, given that f(c) = 0.
1, 72
What is x in 62*x**5 + 43*x**5 + 80*x + 20 - 66*x**5 + 86*x**5 - 25*x**4 + 5*x**2 - 205*x**3 = 0?
-1, -2/5, 1
Factor -2/5 + 1/10*h**4 + 3/10*h**2 + 2/5*h - 2/5*h**3.
(h - 2)**2*(h - 1)*(h + 1)/10
Let i(h) be the third derivative of -7*h**5/150 - 23*h**4/60 - 2*h**3/5 - 10*h**2 + 3. Determine t so that i(t) = 0.
-3, -2/7
Determine o, given that 1/4*o - 3/8*o**4 - 1/8*o**5 + 0 + 3/8*o**2 - 1/8*o**3 = 0.
-2, -1, 0, 1
Let p be 1092/104 - 18 - -2*4. Determine o so that -3/2*o**2 + 0 + 3/2*o**4 - o + p*o**5 + 1/2*o**3 = 0.
-2, -1, 0, 1
Let z = -517/72 + 61/8. Factor z + 1/9*u**3 - 1/3*u**2 + 0*u.
(u - 2)**2*(u + 1)/9
Let s(p) be the second derivative of p**7/63 - 4*p**6/45 + p**5/10 + 2*p**4/9 - 4*p**3/9 + 151*p. Determine x so that s(x) = 0.
-1, 0, 1, 2
Let c(n) be the first derivative of n**6/480 + 7*n**5/160 + 3*n**4/16 + 16*n**3/3 + 13. Let l(g) be the third derivative of c(g). Factor l(y).
3*(y + 1)*(y + 6)/4
Suppose 52/3*a**4 - 14/3*a**5 - 26/3*a**3 + 0*a - 4*a**2 + 0 = 0. What is a?
-2/7, 0, 1, 3
Factor -13/3*t + 1/3*t**4 - t**2 + 10/3 + 5/3*t**3.
(t - 1)**2*(t + 2)*(t + 5)/3
Factor -x + 2*x**2 + 5*x - 2*x**3 - 2*x - 6*x**2 - 4*x.
-2*x*(x + 1)**2
Let m = 11 + -3. Suppose g + 3*n + 13 = 2*g, 2*g - 2 = -2*n. Factor g*i + 3*i - m*i + i**3.
i*(i - 1)*(i + 1)
Let d(u) = 3*u**2 - 11*u - 22. Let i(j) = -2*j**2 + 13*j + 21. Let r(v) = -3*d(v) - 4*i(v). Suppose r(b) = 0. What is b?
-18, -1
Suppose -2*a - 1 - 3 = -5*b, -2*a + 16 = 5*b. Determine f, given that -42 + 6*f**3 + 77 - 4*f**2 - 35 - b*f**4 = 0.
0, 1, 2
Suppose -3*a = 4*i - 21, 223*a - 9 = -i + 221*a. Factor 4/3*m - 10/3*m**2 + 0 - 14/3*m**i.
-2*m*(m + 1)*(7*m - 2)/3
Factor 2*a**2 + 144/7 + 508/7*a.
2*(a + 36)*(7*a + 2)/7
Let y be (35/(-7))/((-2)/4). Suppose 10*o - 8*o = y. Let -a**5 + 5*a**o + 3*a**3 - a**3 - 2*a**5 - 4*a**4 = 0. Calculate a.
0, 1
Let d be (-9)/(((-18)/(-1))/(-6)). Let f(n) be the second derivative of 4*n + 0 + 0*n**2 - 1/60*n**4 + 0*n**d. Factor f(t).
-t**2/5
Factor 11/2*o + 16/3*o**2 - 1/6*o**3 + 0.
-o*(o - 33)*(o + 1)/6
Suppose 88*h - 340 = 716. Let y(c) be the second derivative of 1/45*c**6 + h*c + 0 - 2/15*c**5 + 1/3*c**2 - 4/9*c**3 + 1/3*c**4. Determine q so that y(q) = 0.
1
Let p be (22/(-462))/((-4)/(-4278)). Let c = p - -107/2. Suppose -c*h**2 + 2/7*h**3 + 54/7*h - 54/7 = 0. Calculate h.
3
Let h(a) = 7*a**2 + 34*a - 17. Let i(p) = -13*p**2 - 66*p + 35. Let k(n) = 11*h(n) + 6*i(n). Suppose k(o) = 0. What is o?
-23, 1
Let y(h) be the first derivative of -3/5*h**5 - 1/2*h**6 + 0*h**4 + 0*h**3 + 0*h**2 + 0*h - 3. Solve y(i) = 0 for i.
-1, 0
Let b(v) = -14*v**2 - 14*v - 22. Let d(u) = -682*u + 0 - 1 + 681*u + u**2. Let