ctor r(l).
-l*(5*l + 2)**2/6
Let f = -28 - -30. Solve -5*v**4 - 20 - v**2 + 19*v**f + 8*v**2 - v**2 = 0 for v.
-2, -1, 1, 2
Let u be (-455)/(-78) + 2/12. Solve 3*c**4 - u*c - 2*c**4 + 9*c**2 - 4*c**4 = 0.
-2, 0, 1
Let b(w) be the third derivative of -w**5/80 - 13*w**4/16 - 169*w**3/8 + 2*w**2 + 7. Let b(d) = 0. What is d?
-13
Let m(g) = -294*g + 884. Let d be m(3). Find n such that 16/11*n - 2/11*n**4 + 0 - 10/11*n**3 - 4/11*n**d = 0.
-4, -2, 0, 1
Let o(k) be the first derivative of -9*k**4/14 - 2*k**3/3 + 20*k**2/7 - 8*k/7 - 283. Factor o(c).
-2*(c - 1)*(c + 2)*(9*c - 2)/7
Let i be 36/21*(-5 - (-198)/36). Find w, given that 0 - 2/7*w**2 + i*w = 0.
0, 3
Let a(p) be the second derivative of 4/15*p**3 + 1/5*p**2 + 0 + 9*p + 1/10*p**4. Let a(h) = 0. Calculate h.
-1, -1/3
Suppose 248*x - 472 = 24. Determine y, given that 10/9*y + 8/9 + 2/9*y**x = 0.
-4, -1
Let g be 24 + (-549)/36 + -8. Suppose -3*r + 5 = -1. Factor 1/4*m**5 - 1/4*m**r + 1/2*m - g*m**3 + 1/4*m**4 + 0.
m*(m - 1)**2*(m + 1)*(m + 2)/4
Let r(z) be the first derivative of -1/8*z**3 - 1/8*z**2 - 24 + 1/48*z**6 + 1/32*z**4 + 3/40*z**5 + 0*z. Factor r(b).
b*(b - 1)*(b + 1)**2*(b + 2)/8
Let x be ((-120)/(-252))/(15/21). Let x*g**2 + 16/3*g + 32/3 = 0. What is g?
-4
Let i(v) be the second derivative of 1/24*v**3 - 1/120*v**6 - 1/80*v**5 + 1/48*v**4 + 0 - 18*v + 0*v**2. Factor i(k).
-k*(k - 1)*(k + 1)**2/4
Let r(x) = -x**2 - x - 1. Let c(g) = -g**3 + 11*g**2 - 4*g - 8. Let b(j) = -c(j) - 5*r(j). Let f(d) be the first derivative of b(d). Let f(s) = 0. What is s?
1, 3
Suppose d - 2*k + 18 = -0*d, 63 = -2*d - 5*k. Let m be (d/28)/((-45)/42). Determine i so that -m*i + 0 + 14/5*i**2 = 0.
0, 2/7
Let j(w) = 3*w**2 + 37*w + 152. Let r(c) = c - 1. Let y be 34/(-8) - (-15)/(-20). Let q(f) = y*r(f) - j(f). Find d such that q(d) = 0.
-7
Let q = -81 - -96. Factor q*x + 8*x**2 - 4*x**2 - 7*x**2.
-3*x*(x - 5)
Let m = 33 + -31. Let n = -815/7 - -117. Determine b so that n*b - 4/7*b**3 + 2/7*b**4 - 2/7 + 0*b**m = 0.
-1, 1
Let n(c) be the third derivative of -c**6/540 + c**5/54 - c**4/54 - 8*c**3/27 - 19*c**2 - 3. Let n(r) = 0. Calculate r.
-1, 2, 4
Let y(t) be the third derivative of -t**7/945 - 2*t**6/135 + t**5/90 + 11*t**4/54 - 16*t**3/27 + 322*t**2. What is o in y(o) = 0?
-8, -2, 1
Let w = 206 + -206. Let m(g) = -g + 11. Let f be m(11). Determine i so that 0*i + 4/9*i**3 + w - 2/9*i**4 + f*i**2 = 0.
0, 2
Let b be (-1008)/(-360) + (-2)/(-10). Factor 4/3*w - 2/3*w**2 + 0 - 2/3*w**b.
-2*w*(w - 1)*(w + 2)/3
Suppose 2*d - w = 8, -2*d - 5 = 4*w - 3. Let h = -393 - -423. Solve -55*a + 6*a**d - 16 - 28*a**2 + 65*a + h*a = 0 for a.
2/3, 2
Suppose a = 6*d - 3*d, 0 = -2*d. Let q(c) be the third derivative of -5*c**2 + 0 - 3/4*c**4 - 1/20*c**5 + a*c - 9/2*c**3. Factor q(h).
-3*(h + 3)**2
Let u(v) be the second derivative of -v**6/60 - v**5/4 - 23*v**4/24 - 7*v**3/6 - 23*v. What is j in u(j) = 0?
-7, -2, -1, 0
Let f(p) be the first derivative of p**5/45 + p**4/3 + 2*p**3 + 3*p**2/2 + 5. Let r(a) be the second derivative of f(a). Let r(l) = 0. Calculate l.
-3
Let k(p) = 4*p**3 - 4*p**2 - 3*p + 12. Let t(v) = 7*v**3 - 7*v**2 - 8*v + 23. Let h(o) = -10*k(o) + 6*t(o). Factor h(g).
2*(g - 3)*(g - 1)*(g + 3)
Let o(n) = 6*n**3 + 16*n - 11. Let y(u) = u - 12. Let s be y(10). Let d(g) = 3*g - 3 + 2*g**3 + 1 - g**3. Let m(q) = s*o(q) + 11*d(q). Factor m(t).
-t*(t - 1)*(t + 1)
Let c = -16 + 18. Factor 56 + 6*u - 56 - 3*u**3 + 3*u**c.
-3*u*(u - 2)*(u + 1)
Let t(u) = -u**4 + u**3 - u**2 - 3*u - 1. Let z(o) = -25*o**3 - 10*o**2 + 35*o + 25. Let x(l) = 5*t(l) + z(l). Factor x(a).
-5*(a - 1)*(a + 1)*(a + 2)**2
Suppose 2*s - 6 = f, -2 = 3*s - 5*f + 3. Factor -3*o**5 - 3*o**3 + 11*o**4 - 21*o**4 + s*o**3 - 5*o**3.
-o**3*(o + 3)*(3*o + 1)
Let p be (-1)/(((-13)/26)/(1 - 0)). Factor 2/9*v**3 - 2/9*v + 0 - 1/9*v**p + 1/9*v**4.
v*(v - 1)*(v + 1)*(v + 2)/9
Let c(a) be the first derivative of -a**6/24 - 4*a**5/15 - 13*a**4/24 - a**3/3 + 9*a**2/2 - 17. Let u(j) be the second derivative of c(j). Factor u(i).
-(i + 1)*(i + 2)*(5*i + 1)
Let s(x) = -2*x**2 - 2*x. Let a be ((-6)/2 + 2)*-2. Suppose a = 4*k + 6. Let w(i) = -i**2 - i. Let y(o) = k*w(o) + s(o). Suppose y(m) = 0. Calculate m.
-1, 0
Let y(s) be the third derivative of s**6/540 - 14*s**5/135 + 221*s**4/108 - 338*s**3/27 - 2*s**2 + 37*s. Factor y(p).
2*(p - 13)**2*(p - 2)/9
Find v such that -4/3 + 2/3*v**4 + 2/3*v**2 + 2*v**3 - 2*v = 0.
-2, -1, 1
Let h be 27468/(-78) - 9/(-3). Let p = -349 - h. Factor -p*z**3 + 2/13*z**2 + 0 + 0*z.
-2*z**2*(z - 1)/13
Let a be (17/((-612)/48)*(-3)/7)/2. What is g in -a*g + 2/7*g**2 - 12/7 = 0?
-2, 3
Let 463*d + 406*d + 118 - 13 + 5*d**2 - 919*d = 0. Calculate d.
3, 7
Let o(s) be the first derivative of s**4/6 - s**3/3 + 13*s - 7. Let l(y) be the first derivative of o(y). Factor l(r).
2*r*(r - 1)
Let r(g) be the first derivative of 21*g**5/20 - 57*g**4/16 - 17*g**3/2 - 3*g**2 - 173. Determine l so that r(l) = 0.
-1, -2/7, 0, 4
Let h(y) be the first derivative of 2*y**3/3 - 125*y**2 + 327. Solve h(t) = 0.
0, 125
Let c = -10287/20 + 2573/5. Solve 0*m**3 - 1/4*m**4 + 0*m + c*m**2 + 0 = 0.
-1, 0, 1
Let s(w) be the third derivative of -w**8/6720 + w**7/630 + w**6/720 - w**5/30 - 11*w**4/24 + 6*w**2. Let b(q) be the second derivative of s(q). Factor b(a).
-(a - 4)*(a - 1)*(a + 1)
Find o such that 48/5 + 78/5*o**4 - 126/5*o**2 - 132/5*o + 132/5*o**3 = 0.
-2, -1, 4/13, 1
Suppose 5*s - h - 2 = 0, -4*s - 2*h - 4 = -0*h. Suppose 4*j - n - 9 = s, 3*n - n = -2. Factor q + 3*q + 6*q**3 + 4*q**j - 4*q.
2*q**2*(3*q + 2)
Suppose 766 = 485*t - 204. Factor -2*f - 1/2*f**3 - t*f**2 + 0.
-f*(f + 2)**2/2
Let -82*c**4 + 945*c**3 + 16 - 325*c + 64*c**4 - 117*c**4 + 45*c**2 + 54 = 0. What is c?
-2/3, 1/3, 7
Suppose 2404 = 11*o + 2371. Factor 1/3*w**2 - 1/3*w**4 + 0 - 1/3*w**o + 1/3*w.
-w*(w - 1)*(w + 1)**2/3
Let r(n) be the first derivative of -n**6/18 - n**5/5 - n**4/6 + 2*n**3/9 + n**2/2 + n/3 - 73. Suppose r(w) = 0. Calculate w.
-1, 1
Let f(a) be the third derivative of -a**8/108 - 38*a**7/945 + 2*a**6/27 + 16*a**5/27 + 16*a**4/27 - 32*a**3/27 - 61*a**2. Suppose f(r) = 0. Calculate r.
-2, -1, 2/7, 2
Let r be 0/(-1 + (-2)/(-1)). Suppose -5*c + r*c = -15. Find l such that -17 - 3*l**2 + 17 - c*l = 0.
-1, 0
Let h(o) = 17*o**2 + o**3 - 13*o - 7*o**2 + o - 7. Let y be h(-11). Factor -9*l**2 + 5*l**y + 6*l**2 - 5*l + 5*l**3 - 2*l**2.
5*l*(l - 1)*(l + 1)**2
Let p(j) be the third derivative of 0*j**5 - 2 + 1/665*j**7 + 1/1596*j**8 + 0*j**4 + 8*j**2 + 1/1140*j**6 + 0*j + 0*j**3. Solve p(b) = 0 for b.
-1, -1/2, 0
Let p = -298 + 303. Let t(j) be the first derivative of 0*j**4 + 0*j**p + 0*j**3 + 2 + 0*j**2 + 0*j - 1/30*j**6. Factor t(k).
-k**5/5
Factor -7*u**4 + 2*u**2 - 4*u**2 + 2*u**4 - 20*u**3 - 13*u**2.
-5*u**2*(u + 1)*(u + 3)
Let f = 15 - 10. Let z(t) = -t + 16. Let j be z(f). Solve -j*i**2 + 2 + 22*i**2 - 12*i**2 - i = 0 for i.
-2, 1
Let i(h) be the first derivative of -4*h**3/3 + 52*h**2 + 286. Suppose i(x) = 0. Calculate x.
0, 26
Let p(y) = y**4 + y**3 + 2*y**2 + 1. Let u(h) = 2*h**4 + 12*h**3 + 8*h**2 + 4. Let z(r) = 4*p(r) - u(r). Factor z(t).
2*t**3*(t - 4)
Let m = -1 + 1. Suppose -5*y + 21*y + 66 = 98. Factor 9/4*c**y + m + 1/2*c.
c*(9*c + 2)/4
Let s(c) be the third derivative of 17*c**2 + 0*c**4 + 4/105*c**5 + 0 + 0*c - 2/735*c**7 + 0*c**6 + 0*c**3. Find d such that s(d) = 0.
-2, 0, 2
Let q(y) = 8*y**2 - 8*y - 1. Let t(o) = -13*o**2 + 12*o + 1. Let p(j) = -8*q(j) - 5*t(j). Solve p(v) = 0 for v.
-3, -1
Let 0 + 44/7*t - 1/7*t**3 + t**2 = 0. What is t?
-4, 0, 11
Suppose -3 - 9 = -2*j. Factor -5*r**2 + 2*r + j*r + r + 6*r.
-5*r*(r - 3)
Factor 30*g + 3/2*g**3 - 18*g**2 + 0.
3*g*(g - 10)*(g - 2)/2
Let w(j) be the first derivative of -j**4/22 - 20*j**3/33 - 29*j**2/11 - 40*j/11 - 494. Factor w(h).
-2*(h + 1)*(h + 4)*(h + 5)/11
Let y(t) be the third derivative of -1/780*t**6 + 1/13*t**3 + 0*t + 1/390*t**5 + 9*t**2 + 5/156*t**4 + 0. Factor y(w).
-2*(w - 3)*(w + 1)**2/13
Factor -37*z**2 - 4*z**3 - 75*z**2 + z**3 + 166*z**2.
-3*z**2*(z - 18)
Let n(a) be the third derivative of 0 + 0*a - 1/420*a**7 + 1/120*a**6 - 1/24*a**4 - 2/3*a**3 + 21*a**2 + 3/40*a**5. What is h in n(h) = 0?
-2, -1, 1, 4
Let y = -16 + 20. Suppose -2*x + 24 = -y*n, -x + 3*n + 4 = -11. Factor -m**3 + 2*m**5 - 8*m**