0*y**2.
-2*y**3*(y - 1)**2/9
Suppose 0*a + 2 = -a. Let q be ((-4)/(-14) + 308/(-49))/a. Factor 0*b - 1/4*b**q + 0 - 1/2*b**2.
-b**2*(b + 2)/4
Let d(f) be the third derivative of -1/630*f**7 + 1/180*f**6 + 0*f**4 + 0*f**3 - f**2 + 0*f + 0 - 1/180*f**5. Let d(n) = 0. What is n?
0, 1
Factor 13 + 51 + d**4 - 4*d**3 - 16*d - 1036*d**2 + 3*d**4 + 988*d**2.
4*(d - 4)*(d - 1)*(d + 2)**2
Suppose 70 = 3*j + 10. Let i be 7/(-1)*j/(-70). What is l in 4*l - l**i + 0*l**2 - 3*l**2 = 0?
0, 1
Let v = -102 + 105. Factor 20 + 2*w + v*w - 282*w**2 + 262*w**2 - 5*w**3.
-5*(w - 1)*(w + 1)*(w + 4)
Let d(i) = 8*i**2 + 6*i + 46. Let o(g) = -10*g**2 - 5*g - 47. Let m(a) = 7*d(a) + 6*o(a). Factor m(n).
-4*(n - 5)*(n + 2)
Let r(w) = 18*w**3 - 42*w**2 + 140*w - 95. Let z(p) = 16*p**3 - 44*p**2 + 140*p - 94. Let j(m) = 6*r(m) - 7*z(m). Factor j(i).
-4*(i - 11)*(i - 2)*(i - 1)
Suppose 0 = 31*j - 252 + 159. What is s in 0 - 3*s - 3/4*s**j - 15/4*s**2 = 0?
-4, -1, 0
Suppose 0 = 13*u - 14*u + 14. Suppose -2*t + 20 = -4*c, 0 = t - 3*c - u - 0. Suppose 1/7*f**t - 1/7*f**4 + 1/7*f**3 - 1/7*f + 0 = 0. Calculate f.
-1, 0, 1
Find b, given that 2/23*b**3 + 28/23 + 20/23*b**2 + 2*b = 0.
-7, -2, -1
Factor 1/4*n**2 - 10 - 3/2*n.
(n - 10)*(n + 4)/4
Let y(r) = -r**3 - 15*r**2 - 42*r + 22. Let x be y(-11). Factor 0*k**2 + 0*k + x - 9/4*k**3 - 3/4*k**4.
-3*k**3*(k + 3)/4
Let y(g) = 50*g**3 - 180*g**2 + 167*g + 5. Let t(l) = -25*l**3 + 90*l**2 - 84*l - 3. Let s(d) = -5*t(d) - 3*y(d). Factor s(n).
-n*(5*n - 9)**2
Let f(s) = -s**5 - s**4 - s**2 - 2*s - 1. Let b(r) = -3*r**5 + 37*r**4 - 55*r**3 + 27*r**2 + 4*r + 2. Let v(k) = -b(k) - 2*f(k). Factor v(i).
5*i**2*(i - 5)*(i - 1)**2
Let m = -16/179 - -1480/537. Determine n so that m*n**2 - 2/9*n**4 - 8/9*n**3 - 128/9 + 64/9*n = 0.
-4, 2
Let g(z) be the second derivative of z**7/21 - z**6/15 - 9*z**5/5 - 7*z**4/3 + 17*z**3/3 + 15*z**2 + 8*z - 2. Determine j, given that g(j) = 0.
-3, -1, 1, 5
Let s(n) = 2*n**3 - 4*n**2 - 3*n. Let g(x) = -x**3 + 2*x**2 + x. Let o be ((-2)/((-4)/3))/(36/(-48)). Let d(t) = o*s(t) - 5*g(t). Factor d(i).
i*(i - 1)**2
Let f(r) be the second derivative of 1/2*r**3 - 9/8*r**2 - 1/16*r**4 + 0 + 3*r. What is g in f(g) = 0?
1, 3
Let c = -83 - -86. Determine l so that 9*l**4 - 139*l**3 + 167*l**c + 7*l**4 - 8*l**2 = 0.
-2, 0, 1/4
Let u(g) = g**3 + 11*g**2 - 3*g - 2. Let x be u(-11). Suppose 7 + 17*y**2 - x - 14*y**2 + 0*y + 6*y = 0. Calculate y.
-4, 2
Let r be (-388)/141 - 14/(-7). Let u = -4/47 - r. Find f, given that 4/3 - 2/3*f + u*f**3 - 4/3*f**2 = 0.
-1, 1, 2
Factor 3/5*o**3 - 49/5*o**5 + 4*o**2 - 4/5*o - 14*o**4 + 0.
-o*(o + 1)**2*(7*o - 2)**2/5
Let p = -28 + 28. Let a be (1 - (2 + -2))*(p + 0). Suppose 1/4 - 1/4*u**2 + a*u = 0. Calculate u.
-1, 1
Let h(t) = 4*t - 22. Let b be h(11). Suppose -5*n + b = -4*y + 59, -4*y + 4*n = -32. Factor 2/11*k**4 + 0*k + 0*k**y - 4/11*k**2 + 2/11.
2*(k - 1)**2*(k + 1)**2/11
Let n(j) be the first derivative of j**4/8 - 3*j**3/4 - 7*j - 8. Let d(i) be the first derivative of n(i). Factor d(k).
3*k*(k - 3)/2
Let v(w) = 6*w**2 - 4*w - 26. Let y(h) = -2*h**2 - h + 2. Let l be y(-2). Let n = 1 + l. Let j(o) = -2*o**2 + o + 9. Let q(u) = n*v(u) - 8*j(u). Factor q(b).
-2*(b - 3)*(b + 1)
Factor 3 - 3/2*d**2 - 3/2*d.
-3*(d - 1)*(d + 2)/2
Let q(n) be the second derivative of -2/3*n**3 + 0 - 1/24*n**4 - 4*n**2 + 6*n. Let q(m) = 0. What is m?
-4
Let b = -8122 - -8124. Let -14/3*i**3 - 17/3*i**b - 2*i + 0 - i**4 = 0. Calculate i.
-3, -1, -2/3, 0
Find s such that -30*s**2 - 184*s + 400 + 104*s + 34*s**2 = 0.
10
Let m(q) = -q**3 + 42*q**2 + 130*q + 228. Let n be m(45). Suppose -864/7*r**2 - 5184/7 - 4/7*r**4 + 3456/7*r + 96/7*r**n = 0. What is r?
6
Let q(l) be the third derivative of -7/480*l**5 + 0*l + 20*l**2 - 5/32*l**4 - 1/6*l**3 + 0. Suppose q(c) = 0. What is c?
-4, -2/7
Factor 26/9*m - 2/9*m**2 + 28/9.
-2*(m - 14)*(m + 1)/9
Factor -32/3*v**2 + 32/3 - 4/3*v**3 + 4/3*v.
-4*(v - 1)*(v + 1)*(v + 8)/3
Let n(v) be the third derivative of -v**5/15 + v**4/30 + 8*v**3/15 - 728*v**2. Factor n(y).
-4*(y - 1)*(5*y + 4)/5
Suppose 12*j - 103 + 1663 = 0. Let x = j + 394/3. Factor 0*q - 1/3*q**4 + 0 - x*q**2 - 4/3*q**3.
-q**2*(q + 2)**2/3
Let 130*k**2 + 152*k - 4*k**5 - 362*k**2 + 61*k + 288 - 236*k**3 - 56*k**4 + 27*k = 0. What is k?
-6, -2, -1, 1
Let g(a) = -a**3 + 14*a**2 - 12*a - 10. Let z be g(13). Suppose -p - z = -7. Factor -w**4 - p*w**5 - 4*w**4 + 2*w**4 - 5*w**4 - 4*w**3.
-4*w**3*(w + 1)**2
Factor 33 + 112*l + 11 - 48 + 4*l**2 + 112.
4*(l + 1)*(l + 27)
Let t(f) be the third derivative of 9*f**7/70 - 13*f**6/8 + 17*f**5/5 - 3*f**4/2 + 18*f**2. Factor t(u).
3*u*(u - 6)*(u - 1)*(9*u - 2)
Let m = 1290 + -628. Factor -5 - 13*c - m*c**2 + 3*c + 657*c**2.
-5*(c + 1)**2
Let c(l) = -l**2 - 9*l + 38. Let t be c(-12). Let h(m) be the first derivative of -5 - 2/5*m**3 + 0*m**t + 1/10*m**4 + 8/5*m. Determine d so that h(d) = 0.
-1, 2
Factor 85/4*d + 35/4*d**2 - 5/4*d**3 + 45/4.
-5*(d - 9)*(d + 1)**2/4
Let g(n) be the third derivative of -n**5/240 + 9*n**4/16 - 51*n**3/8 - 554*n**2. Factor g(f).
-(f - 51)*(f - 3)/4
Let t(u) = 3*u**4 + 21*u**3 + 6*u**2 + 15*u. Let w(p) = -p**3 + p**2 - p. Let h = -14 + 15. Let y(v) = h*t(v) + 9*w(v). Let y(s) = 0. Calculate s.
-2, -1, 0
Let f = 2781 + -8341/3. Find b such that -10/3*b**2 - 8/3*b**3 - f*b**4 + 0 - 4/3*b = 0.
-2, -1, 0
Let h(c) = c**2. Let s(g) = -3*g**3 - 27*g**2 - 144*g - 192. Let p be (-16)/56 + 130/14. Let j(u) = p*h(u) - s(u). Suppose j(w) = 0. What is w?
-4
Let -204256 - 3*b**4 + 204256 + 48*b - 60*b**2 + 24*b**3 = 0. What is b?
0, 2, 4
Solve x**5 + 6*x**4 + 9*x + 8 + 6 + x**5 - 20*x**2 - 9*x**3 - x**5 - x**3 = 0.
-7, -1, 1, 2
Let s(z) be the third derivative of -z**8/2184 - 4*z**7/1365 + z**6/260 + 3*z**5/65 - 19*z**2 + 1. Suppose s(k) = 0. What is k?
-3, 0, 2
Suppose -244*t + 249*t = 0. Let n(o) be the first derivative of 1/18*o**4 + 0*o**2 + 3 + 0*o**3 + t*o**5 - 1/27*o**6 + 0*o. Solve n(u) = 0.
-1, 0, 1
Let h be ((-5)/(3135/(-4)))/(2/(-60)). Let a = -2/209 - h. Let 6/11*t**3 - 4/11 + 2/11*t**2 + a*t**4 - 6/11*t = 0. Calculate t.
-2, -1, 1
Let b(s) be the first derivative of -2*s**3/9 - 22*s**2/9 - 14*s/9 - 93. Suppose b(j) = 0. Calculate j.
-7, -1/3
Let z(x) be the third derivative of x**8/151200 - x**7/12600 + x**6/2700 - x**5/12 + 15*x**2. Let l(w) be the third derivative of z(w). Factor l(b).
2*(b - 2)*(b - 1)/15
Let o(h) be the third derivative of h**8/1008 - h**7/315 - h**6/360 + h**5/90 + 14*h**2. Determine u, given that o(u) = 0.
-1, 0, 1, 2
Let b = -832 + 5825/7. Factor 2/7*u + 0 - b*u**2.
-u*(u - 2)/7
Let r = 6 + -3. Let a = 229 + -226. Factor -2*o**r + a*o**5 - 8*o**5 + o**5 + 6*o**5.
2*o**3*(o - 1)*(o + 1)
Factor -32*o + 15 + 4*o**2 - 28 - 23.
4*(o - 9)*(o + 1)
Let a(x) = -x**2 + 6*x + 1. Let f(d) = -d**2. Let i(g) = -a(g) - 2*f(g). Let w(p) = p**2 - 2*p. Let z(k) = 3*i(k) - 8*w(k). Solve z(b) = 0 for b.
-1, 3
Factor 4/5*k**3 - 1/5*k**4 - 1/5*k**2 - 6/5*k + 0.
-k*(k - 3)*(k - 2)*(k + 1)/5
Let h(q) = -2*q**2 + 3*q - 3. Let k be h(1). Let t be -1*(k + 3) + 6. Find g such that 3/2*g - 3/2*g**t - 3*g**4 + 3*g**2 + 0 + 0*g**3 = 0.
-1, 0, 1
Let i(t) be the second derivative of 6*t**2 + 21*t + 0 + 3/20*t**5 + 0*t**3 - 1/14*t**7 + 3/10*t**6 - 7/4*t**4. Suppose i(r) = 0. What is r?
-1, 1, 2
Let k(z) = 4 - 5*z + 2 - z - 2 + 6*z**2. Let u(d) = -7*d**2 + 6*d - 3. Let c(f) = 6*k(f) + 5*u(f). Find l, given that c(l) = 0.
3
Let g be ((-4326)/(-6695))/((-9)/(-15)). Solve 2*m + 6/13*m**3 - g + 46/13*m**2 = 0 for m.
-7, -1, 1/3
Let y(l) = -3*l**3 - 108*l**2 - 6*l - 216. Let p be y(-36). Determine f, given that 1/6*f**3 + p + 0*f - 1/6*f**4 + 1/6*f**2 - 1/6*f**5 = 0.
-1, 0, 1
Let o(g) = 2*g**3 + 61*g**2 - 86*g + 26. Let a(z) = z**3 - z**2 - z. Let w(u) = 6*a(u) + 2*o(u). Factor w(d).
2*(d - 1)*(d + 13)*(5*d - 2)
Suppose 21*r**2 - 4*r - 4 + 27*r**3 + 12*r**4 - 11*r**3 - 8 - 9*r**4 = 0. Calculate r.
-3, -2, -1, 2/3
Let j(h) be the second derivative of -h**4/3 - 4*h**3/3 + 16*h**2 - 522*h. Factor j(y).
-4*(y - 2)*(y + 4)
Let j(a) be the third derivative of -1/32*a**4 + 0*a + 5*a**2 + 0 + 1/12*a**3 + 1/240*a**5. Let j(y) = 0. Calculate y.
1, 2
What is k in 43/2*k**3 - 1 + 12*k**2 + 10*k**4 - 1/2*k = 0?
-1, -2/5, 1/4
Let g(n) be the first derivative of n**3/24 + 5*n*