 be m(-17). Let f(y) be the first derivative of n*y + 0*y**3 + 4 - 1/15*y**6 - 1/5*y**2 + 1/5*y**4 + 0*y**5. Let f(l) = 0. Calculate l.
-1, 0, 1
Suppose -5*y - 4*b + 4 = 0, 5*y + 3*b = 7*b - 4. Suppose 4*q - 25 = -y*q + 5*m, -5*m - 25 = -3*q. Determine h, given that 1 - 3/2*h + q*h**2 + 1/2*h**3 = 0.
-2, 1
Suppose -5*d = s - 6, 3*s = s - 5*d + 7. Let o be s/(-2)*(-48)/40. Let -3/5*r - 3/5*r**2 + o*r**3 + 3/5 = 0. Calculate r.
-1, 1
Suppose 7*w = 8*w - 2. Let v = -2 - -3. Let -v - r - 1/4*r**w = 0. What is r?
-2
Let s(d) = 26*d**2 + 44*d - 19. Let v(p) = 9*p**2 + 15*p - 6. Let u(a) = 6*s(a) - 17*v(a). Determine j, given that u(j) = 0.
-4, 1
Let k be (-2 + -40)*3/(-9). Find d, given that 19 - 50*d**3 + 5 + 44*d**2 - 24*d**4 - 8 + 72*d + k*d**5 = 0.
-1, -2/7, 2
Let m = -32/3 - -67/6. Determine c so that m*c**2 + 3*c + 9/2 = 0.
-3
Let k = 80 - 878/11. Factor 0 + k*d**2 - 4/11*d.
2*d*(d - 2)/11
Let z(d) be the first derivative of -d**4/36 + d**3/6 - d**2/3 + d + 1. Let j(g) be the first derivative of z(g). Factor j(p).
-(p - 2)*(p - 1)/3
Let z(h) be the third derivative of -h**8/1344 - h**7/210 - h**6/80 - h**5/60 - h**4/96 + 16*h**2. Factor z(x).
-x*(x + 1)**4/4
Solve -45*g**2 + 45*g**4 - 3*g**3 + 4*g**3 + 9*g**3 - 10*g = 0.
-1, -2/9, 0, 1
Let d = -75/14 - -1548/287. Let j = d + 307/574. What is q in -j*q - 2/7*q**2 + 0 = 0?
-2, 0
Let r(q) = q**2 + 10*q - 6. Let v be r(-10). Let c be 2 - (-10)/v - -3. Determine u, given that -6*u - 8*u**2 - 4/3 - c*u**3 = 0.
-1, -2/5
Let b = 38527 - 231713/6. Let l = b + 92. Factor 0*c**3 + 0*c - 1/6*c**4 + 1/3*c**2 - l.
-(c - 1)**2*(c + 1)**2/6
Let j(p) be the first derivative of 3/2*p**4 - 2/5*p**5 - 1/3*p**6 - 6 + 0*p + 10/3*p**3 + 2*p**2. Find t, given that j(t) = 0.
-1, 0, 2
Let u = -636/7 - -92. Suppose -8/7 + 6/7*m**2 + u*m - 8/7*m**3 + 2/7*m**4 = 0. What is m?
-1, 1, 2
Suppose o - 6 = -l, -4*o + 0*l = -l - 19. Factor -2/13*n**o + 0*n**3 - 4/13*n**4 + 0 + 4/13*n**2 + 2/13*n.
-2*n*(n - 1)*(n + 1)**3/13
Let h(n) be the third derivative of -n**6/18 - 8*n**5/45 + 19*n**4/18 - 4*n**3/3 - 15*n**2. Factor h(r).
-4*(r - 1)*(r + 3)*(5*r - 2)/3
Let u be 5*(-2)/(-200)*(-2)/(-3). Let f(j) be the first derivative of 1/10*j**4 + 0*j**5 - 1/10*j**2 - 1 + 0*j**3 + 0*j - u*j**6. Determine x so that f(x) = 0.
-1, 0, 1
Let h be 3/(-2) - 7/2*-1. Suppose 1/3*a**h - 1/3 - 2/3*a + 2/3*a**3 = 0. What is a?
-1, -1/2, 1
Let y(p) be the third derivative of -p**6/540 + p**5/90 - 4*p**3/27 - 6*p**2. Factor y(a).
-2*(a - 2)**2*(a + 1)/9
Let b(t) = 6*t - 118. Let d be b(20). Suppose 2/9*g**5 + 2/9*g + 0*g**4 + 0*g**d + 0 - 4/9*g**3 = 0. Calculate g.
-1, 0, 1
Suppose 0 = 3*l - i - 6, 0*i - 2*i = 2*l - 12. Determine j, given that 2*j**l - 3*j**5 + 3*j**3 - j**3 - j**3 = 0.
-1, 0, 1
Suppose 0 = u - 0*i - 5*i + 13, 0 = 3*i - 9. Factor -1/6 + 1/3*g**u + 0*g**3 + 0*g - 1/6*g**4.
-(g - 1)**2*(g + 1)**2/6
Let i(q) be the first derivative of -3*q**4/4 - 2*q**3 + 3*q**2/2 + 6*q - 4. Factor i(g).
-3*(g - 1)*(g + 1)*(g + 2)
Let x(q) be the second derivative of 3*q**4/22 + 2*q**3/33 + 2*q. What is t in x(t) = 0?
-2/9, 0
Determine t so that -2/13*t - 2/13*t**2 + 2/13*t**3 + 2/13 = 0.
-1, 1
Let p(i) = -5*i**4 + i**3 + 8*i**2 + 2. Let h(o) = 11*o**4 - o**3 - 17*o**2 - 5. Let u(q) = -2*h(q) - 5*p(q). Let u(t) = 0. Calculate t.
-1, 0, 2
Determine r, given that 4*r**4 + 1058*r + 750*r**2 + 100*r**3 + r**4 + 1442*r + 3125 = 0.
-5
Let i(n) = n**3 + 24. Let j be i(0). Let r be j/20*5/2. What is f in 2*f - 5*f**r + 4*f**3 - f = 0?
-1, 0, 1
Let n(q) be the first derivative of -2*q**3/9 - q**2/3 + 15. Factor n(z).
-2*z*(z + 1)/3
Let -81/4*z + 45/4*z**2 - 3/4*z**3 + 39/4 = 0. Calculate z.
1, 13
Let m = 17/30 + -8/15. Let z(k) be the second derivative of 1/63*k**7 + 0*k**2 + 0*k**3 - k + 0*k**4 - 2/45*k**6 + 0 + m*k**5. Solve z(u) = 0 for u.
0, 1
Let 6*s + 45 + 6*s + 20*s**2 - 72*s = 0. What is s?
3/2
Let r(m) be the second derivative of -2*m**2 + m**3 - 1/6*m**4 + 0 - m. Factor r(d).
-2*(d - 2)*(d - 1)
Let s = 7 + -5. Suppose -2*z**3 + 4*z - 2*z**2 + z**3 - z**4 + 3*z**s - 3*z = 0. What is z?
-1, 0, 1
Let y(v) be the third derivative of -v**5/75 + v**4/30 + 4*v**3/15 - v**2. Suppose y(k) = 0. Calculate k.
-1, 2
Let w(j) = 1. Let d(x) = 5*x**3 - 5*x - 2. Let z(v) = d(v) + 2*w(v). Find s, given that z(s) = 0.
-1, 0, 1
Let h(k) = -4*k - 6. Let l be h(-3). Suppose 0 = -l*a + 3*a. Suppose a*b**2 + 0 + 0*b**3 + 0*b**4 + 0*b - 2/5*b**5 = 0. What is b?
0
Determine f so that -16/7*f**4 + 11/7*f + 2/7 - 4/7*f**3 + 2*f**2 - f**5 = 0.
-1, -2/7, 1
Let o be (2/(-6))/((-4)/24). Factor 172 + 6*l**2 - 172 + 2*l**4 - o*l - 6*l**3.
2*l*(l - 1)**3
Let u(t) be the third derivative of -t**8/1176 - t**7/735 + t**6/210 + 4*t**2. Suppose u(p) = 0. What is p?
-2, 0, 1
Let p(f) be the second derivative of 0 + 3*f + 0*f**4 - 2/105*f**6 + 0*f**3 + 0*f**2 + 1/70*f**5 + 1/147*f**7. What is w in p(w) = 0?
0, 1
Let n(x) be the third derivative of x**5/180 - x**4/18 + 2*x**3/9 - 6*x**2. Factor n(r).
(r - 2)**2/3
Suppose -10 = -187*k + 182*k. Factor 12/5 - 21/5*q**k + 9/5*q**3 + 0*q.
3*(q - 2)*(q - 1)*(3*q + 2)/5
Let l be 7 + -9 + 5 + (-12)/7. Factor -3/7 - 3/7*r**3 - l*r**2 - 9/7*r.
-3*(r + 1)**3/7
Suppose 0 = -4*a - 4*f + 2*f + 472, 5*f - 220 = -2*a. Let v be 70/a - (-2)/(-8). Factor 0 + 1/3*k**3 + v*k**2 - 1/3*k**4 - 1/3*k.
-k*(k - 1)**2*(k + 1)/3
Let q(i) be the first derivative of i**6/1260 - i**4/84 + i**3/3 - 3. Let d(l) be the third derivative of q(l). Factor d(y).
2*(y - 1)*(y + 1)/7
Let g(i) be the third derivative of 7*i**5/30 - 5*i**4/4 - i**3/3 + 7*i**2. Let x(m) = -14*m**2 + 29*m + 3. Let j(b) = 5*g(b) + 6*x(b). Factor j(q).
-2*(q - 2)*(7*q + 2)
Factor -35*w + 30 - 133*w - 882*w**2 - 38.
-2*(21*w + 2)**2
Let v = -5 - -7. Let o be -1 - 6/(-3 + v). Factor 0*i**3 + 1/4*i**o + 0 + 1/2*i**2 - 1/2*i**4 - 1/4*i.
i*(i - 1)**3*(i + 1)/4
Suppose 0*t - 9 = -3*t. What is n in 2*n**2 - t*n - 4*n**2 - n + 6*n = 0?
0, 1
Factor -4/7*l + 6/7 - 2/7*l**2.
-2*(l - 1)*(l + 3)/7
Let b(x) be the second derivative of -5*x**4/12 - 5*x**3/3 + 15*x**2/2 - 3*x. What is a in b(a) = 0?
-3, 1
Let v(m) be the first derivative of 4*m**3/3 + 6*m**2 - 16*m - 3. Factor v(i).
4*(i - 1)*(i + 4)
Let i = -91/8 - -471/40. Determine m, given that 0 + 2*m**2 - i*m = 0.
0, 1/5
Let b(p) be the third derivative of -p**8/1848 + p**7/385 - p**6/330 - p**5/165 + p**4/44 - p**3/33 + 3*p**2. Factor b(v).
-2*(v - 1)**4*(v + 1)/11
Let z = 662 + -659. Factor 0*f + 1/5*f**z + 0*f**2 + 0.
f**3/5
Let w(h) = 6*h**3 - 101*h**2 - 540*h - 1080. Let b(q) = -q**3 + 20*q**2 + 108*q + 216. Let g(f) = -11*b(f) - 2*w(f). Factor g(u).
-(u + 6)**3
Let t(y) be the first derivative of -y**7/3360 - y**6/288 - y**5/60 - y**4/24 - y**3 - 2. Let o(h) be the third derivative of t(h). Factor o(n).
-(n + 1)*(n + 2)**2/4
Suppose 0 = 4*s - 3*l - 17, 2*s + 3*l = -7 + 2. Determine d, given that 3/4*d + 0 - 3/4*d**s = 0.
0, 1
Suppose -3*h = 4*r - 5*r + 17, 5*r = -2*h. Solve -4*g**2 + r + 2*g**4 - 9*g + 9*g = 0 for g.
-1, 1
Let y(t) = 2*t - 16. Let r be y(10). Let p be 430/150 + r/30. Find c such that -2/3*c**4 - 8/3 - 18*c**p + 10*c**5 + 10/3*c**2 + 8*c = 0.
-1, 2/5, 2/3, 1
Let j(h) = -7*h**2 + 11*h - 4. Let m(s) be the first derivative of s**3 - 5*s**2/2 + 2*s - 1. Let d(b) = 2*j(b) + 5*m(b). Let d(y) = 0. Calculate y.
1, 2
Let q(i) be the second derivative of 0 - 1/90*i**4 + 0*i**2 + 1/225*i**6 + 6*i - 1/150*i**5 + 1/45*i**3. Factor q(m).
2*m*(m - 1)**2*(m + 1)/15
Let -12/7*g**2 + 0 + 12/7*g - 165/7*g**3 + 300/7*g**4 = 0. Calculate g.
-1/4, 0, 2/5
Let x(v) = v + 32. Let m be x(0). Factor 3*w + 31*w**2 - 2*w - m*w**2.
-w*(w - 1)
Suppose -4*d + 8*d - 4 = 0. Let c be d - 2/((-40)/(-4)). Factor c*l**2 - 3/5*l - 1/5.
(l - 1)*(4*l + 1)/5
Let s = -4 + 10. Let p(n) be the second derivative of n + 1/30*n**s + 0 + 0*n**5 + 0*n**2 - 1/12*n**4 + 0*n**3. Determine c, given that p(c) = 0.
-1, 0, 1
Let q = 1419/1010 - 1/202. What is l in -2/5 - q*l - l**2 = 0?
-1, -2/5
Let m(y) be the second derivative of y**4/15 + 3*y. Find q, given that m(q) = 0.
0
Suppose 0 = 15*t - 21*t. Factor -4/13*q**2 + t*q - 6/13*q**3 + 0.
-2*q**2*(3*q + 2)/13
Suppose 6*p + 0*p**2 - 17*p**2 + 3*p**2 + 2*p = 0. What is p?
0, 4/7
Let p(w) be the second derivative of -w**6/2160 - w**5/720 + w**4/72 +