
-(r - 13)*(r - 3)/5
Factor 0 + 6*r**4 + 0*r**2 - 3/2*r**5 - 9/2*r**3 + 0*r.
-3*r**3*(r - 3)*(r - 1)/2
What is b in 495/2*b + 36*b**2 + 363 + 3/2*b**3 = 0?
-11, -2
Let j(a) = a**3 + 13*a**2 + 18*a + 21. Let d be j(-11). Let w = d - 65. Factor 0*q + w - 2/3*q**2.
-2*q**2/3
Solve 36*w**4 + 288*w - 66*w**4 + 27*w**4 - 432 - 24*w**3 + 24*w**2 = 0 for w.
-6, 2
Let i(t) = 4*t + 8. Let x be i(-2). Factor 0 + 4 + 2*a - 1 + x*a**2 - a**2.
-(a - 3)*(a + 1)
Factor 7/3*u**2 + 4*u + 0 + 1/3*u**3.
u*(u + 3)*(u + 4)/3
Let -2*k**2 - 120 - 2513*k - k**2 + 2579*k = 0. Calculate k.
2, 20
Determine l so that -4*l**2 - 2 - 38/3*l = 0.
-3, -1/6
Let -1228250/13 - 2/13*n**4 + 1271600/13*n + 512/13*n**3 - 43860/13*n**2 = 0. What is n?
1, 85
Let g be 0*(230/250 + (-8)/(-100)). Let k(h) be the second derivative of -1/3*h**4 - 13*h + 0*h**2 - 4/3*h**3 + g. Factor k(n).
-4*n*(n + 2)
Let d(f) be the second derivative of -3*f**5/40 - 19*f**4/8 - 25*f**3/2 - 24*f**2 + f + 33. Factor d(a).
-3*(a + 1)*(a + 2)*(a + 16)/2
Let q(m) be the second derivative of -m**8/4200 - m**7/1575 - m**6/2700 - 2*m**3 - 5*m. Let w(l) be the second derivative of q(l). Factor w(y).
-2*y**2*(y + 1)*(3*y + 1)/15
Let g(f) be the second derivative of f**4/6 - f**3 - 4*f**2 + 14*f. Let h(z) = z**2 - 3*z - 4. Let d(l) = 2*g(l) - 5*h(l). Let d(p) = 0. Calculate p.
-1, 4
Let f be (8/3)/(24/108). Suppose -3*v = f, 2*o + v = -2*o + 4. Factor 2*h**3 - o*h**2 + 0*h - 5*h + h.
2*h*(h - 2)*(h + 1)
What is a in -16/5 + 4/5*a**3 + 1/5*a**4 + 0*a**2 - 16/5*a = 0?
-2, 2
Let m be (28/(-91))/(310/(-2821)). Factor -6/5*z**2 - m*z + 12/5.
-2*(z + 3)*(3*z - 2)/5
Suppose -u - 22 = -5*x - 0, -4*x = 5*u - 6. Suppose x*a = -4*a + 40. Suppose 0*t**2 - 2/11*t + 0*t**4 + 4/11*t**3 + 0 - 2/11*t**a = 0. Calculate t.
-1, 0, 1
Let v(r) be the second derivative of -r**5/160 + r**4/96 + r**3/24 - r - 43. Factor v(h).
-h*(h - 2)*(h + 1)/8
Let g be (-1)/3*24/(-68). Let s = -9911 - -9914. Find a, given that 2/17*a + g*a**s - 4/17*a**2 + 0 = 0.
0, 1
Suppose -4*y + 64*s - 66*s = 0, -5*y = s - 6. Suppose 3*j - 9 = -t, -j + 15 = 3*t + 4*j. Factor 4/13*w + t + 2/13*w**y.
2*w*(w + 2)/13
Let b(u) = -u**2 - u. Let n(f) be the first derivative of -8*f**3/3 - 4*f**2 + 1. Let m(y) = 52*b(y) - 6*n(y). Factor m(c).
-4*c*(c + 1)
Suppose 2*n - 17 = -5*u, -n - 21 + 7 = -2*u. Let k be (n/14)/(27/(-63)). Find j such that j**4 - k*j + 0 + 7/3*j**2 - 8/3*j**3 = 0.
0, 2/3, 1
Let n be (-3)/18*(-22 - -12). What is t in 0*t**2 - 10/3*t**3 + 5/3 + 10/3*t - n*t**4 = 0?
-1, 1
Let m(c) be the third derivative of -c**6/720 + 7*c**5/360 - c**4/36 - c**3/3 + 189*c**2. Let m(w) = 0. What is w?
-1, 2, 6
Let a be ((-30)/(-35))/(((-3)/(-14))/3). Suppose a = i + 3*i. Factor 2/3*d**5 + 2*d**4 + 4/3*d**i - 2*d - 4/3*d**2 - 2/3.
2*(d - 1)*(d + 1)**4/3
Let y(h) = h**3 - 13*h**2 + 12*h + 7. Let z be y(12). Let i be 3 - 3 - 6/(-3). Suppose -3*o**3 - 2*o**2 - 3*o**i + o**4 + z*o**2 = 0. What is o?
0, 1, 2
Let n(x) be the third derivative of 0 + 8*x**2 + 1/120*x**5 - 1/80*x**6 + 0*x**3 + 1/16*x**4 + 0*x - 1/420*x**7. Solve n(p) = 0.
-3, -1, 0, 1
Let u = -427 + 429. Let o(n) be the third derivative of -3*n**u + 1/21*n**4 + 0 - 1/7*n**3 - 1/210*n**5 + 0*n. Factor o(r).
-2*(r - 3)*(r - 1)/7
Let m(l) be the third derivative of -l**8/560 + 3*l**7/560 - l**6/240 - 2*l**3/3 - 15*l**2. Let g(z) be the first derivative of m(z). Factor g(w).
-3*w**2*(w - 1)*(2*w - 1)/2
Let b**2 - 6362*b - 76 + 0*b**2 + 6442*b - 5*b**2 = 0. What is b?
1, 19
Let v be ((2/12)/((-20)/36))/((-3483)/1935). Factor 1/6*y**2 + 1/6*y - v*y**3 - 1/6*y**4 + 0.
-y*(y - 1)*(y + 1)**2/6
Let y = -172 + 175. Let z(a) be the third derivative of 1/2*a**4 - 1/2*a**y + 0 + 5*a**2 - 1/70*a**7 + 1/10*a**6 - 3/10*a**5 + 0*a. Let z(i) = 0. What is i?
1
Let s(d) = -d**2 + 87*d. Let i(g) = 12*g**2 - 1131*g. Let f(x) = 2*i(x) + 27*s(x). Find j such that f(j) = 0.
0, 29
Let f(s) be the second derivative of -s**4/18 + 20*s**3/3 - 59*s**2/3 + 424*s. Determine k so that f(k) = 0.
1, 59
Let j(l) be the second derivative of -l**5/36 + 7*l**4/72 - l**3/9 + 13*l**2/2 - 14*l. Let t(w) be the first derivative of j(w). Let t(x) = 0. What is x?
2/5, 1
Let d(i) be the second derivative of -i**5/20 + 2*i**4/3 - 19*i**3/6 + 6*i**2 - i + 24. Suppose d(t) = 0. What is t?
1, 3, 4
Let u(c) = -7*c + 48. Let k be u(6). Find h, given that -35*h**2 - 5*h**2 - 30*h + h**3 - k*h**3 - 5 + 35*h**3 + 45*h**4 = 0.
-1, -1/3, 1
Suppose -3*m - 2 = -2*m, 5*m + 6 = -o. Let r(u) = -u**3 + 3*u**2 + 3*u - 4. Let t be r(3). Factor -x**2 - 3*x**5 + x**o + x**t + 3*x**5 - x**3.
x**2*(x - 1)*(x + 1)**2
Solve 0*q + q**2 - 7/2*q**3 + 7/2*q**4 + 0 - q**5 = 0.
0, 1/2, 1, 2
Let p = 1803 - 9011/5. Suppose 2/5 - 4/5*a**2 + 2/5*a**5 + 2/5*a + 2/5*a**4 - p*a**3 = 0. Calculate a.
-1, 1
Let c(s) be the third derivative of -s**5/240 + s**4/8 - 9*s**3/8 + 121*s**2 - s. Find o, given that c(o) = 0.
3, 9
Suppose -6*i + 68 - 20 = 0. Determine z, given that 12*z + 3*z**2 + 9*z - 5*z**3 + 5 - i*z**2 - 16*z = 0.
-1, 1
Let t(g) be the third derivative of -g**6/300 + g**5/30 - g**4/10 - 9*g**2 - g. Factor t(c).
-2*c*(c - 3)*(c - 2)/5
Let j be ((-4)/(-6))/((-2)/(-6)). Suppose j*f - 6 = 2. Suppose -57*w**3 - 2*w**5 - 36*w**4 - 48*w - w**5 - 75*w**2 - 12 + 15*w**f = 0. What is w?
-2, -1
Let u(o) = 2*o + 16. Let q be u(-6). Let x(v) be the third derivative of -1/10*v**3 + 1/20*v**q + 0*v + 0 - 1/100*v**5 + 2*v**2. What is r in x(r) = 0?
1
Factor -143*l - 81*l + 39*l + 54*l**2 + 30 + 31*l**2.
5*(l - 2)*(17*l - 3)
Suppose 4*p + 5 = -5*m + 8, 3*m - 21 = 4*p. Let w be m*(-12)/(-9) - -2. Determine u, given that -13*u**2 + 3*u**3 + 40*u**2 + w*u**3 - 12*u**4 + 6*u = 0.
-1, -1/4, 0, 2
Let v(f) be the second derivative of 8*f**6/15 - 8*f**5/5 - f**4 + 14*f**3/3 - 4*f**2 + 61*f. Suppose v(s) = 0. What is s?
-1, 1/2, 2
Suppose 4*r - 72 = 2*r. Let a be (3 + r/(-8))*-2. Suppose -2/3*x - x**2 + 0 + x**5 + 7/3*x**4 + x**a = 0. Calculate x.
-1, 0, 2/3
Suppose 0 = 5*v + 3*f, v - f + 2 = -2*f. Suppose v*y**5 + 5*y - 20*y**4 - 6*y**5 + 4*y**3 + 3*y - 9*y**5 + 20*y**2 = 0. Calculate y.
-1, -2/3, 0, 1
Factor -4*t**4 + 32 + 64*t**2 + 6*t**2 - 26*t**2 + 74*t - 2*t.
-4*(t - 4)*(t + 1)**2*(t + 2)
Let j(x) = -8*x + 3. Let s be j(0). Let p = 11 + -9. Let p*d**4 - 3*d**3 - 110*d + d**s + 110*d - 4*d**2 = 0. Calculate d.
-1, 0, 2
Let w(f) = -5*f**4 - f**3 + 13*f**2 - 7*f + 4. Let j(l) = 6*l**4 - 12*l**2 + 6*l - 3. Let p(u) = 4*j(u) + 3*w(u). Factor p(d).
3*d*(d - 1)*(d + 1)*(3*d - 1)
Let n = -22700 - -204310/9. Suppose -1/9*w**3 - n*w**2 - 8/3 - 28/9*w = 0. What is w?
-6, -2
Let d(r) be the third derivative of 0 - 1/16*r**4 - 1/80*r**5 - 3*r**2 - 1/8*r**3 + 0*r. Solve d(o) = 0 for o.
-1
Let k(d) be the first derivative of -2*d**6/3 - 32*d**5/5 - 6*d**4 + 32*d**3/3 + 14*d**2 - 150. Find r, given that k(r) = 0.
-7, -1, 0, 1
Let i(l) be the third derivative of -l**8/168 - l**7/35 - l**6/20 - l**5/30 - 65*l**2. Solve i(f) = 0.
-1, 0
Let t(y) be the first derivative of -y**3/6 - 5*y**2/4 - 3*y + 33. Solve t(l) = 0.
-3, -2
Let w = -1 + 1. Let j be 12/32*(24 + -12 + -10 - -6). Factor w + 1/2*c**5 + 0*c + 1/2*c**4 + 0*c**j + 0*c**2.
c**4*(c + 1)/2
Let c(h) = -5*h**5 - 18*h**4 + 6*h**3 + 17*h - 17. Let v(t) = 13*t - 7*t - 6 - 2*t**5 - 3*t**3 - 6*t**4 + 5*t**3. Let f(n) = 6*c(n) - 17*v(n). Factor f(k).
2*k**3*(k - 1)*(2*k - 1)
Let w(v) = 6*v**4 - 29*v**3 + 42*v**2 - 27*v + 11. Let j(t) = -5*t**4 + 26*t**3 - 41*t**2 + 28*t - 10. Let n(f) = -6*j(f) - 4*w(f). Factor n(c).
2*(c - 4)*(c - 1)**2*(3*c - 2)
Factor 3721/2*n**3 - 3965/2*n**2 + 124*n - 2.
(n - 1)*(61*n - 2)**2/2
Let j(t) be the second derivative of t**7/168 - 11*t**6/240 + 7*t**5/60 - t**4/12 + 11*t**2 - 11*t. Let i(q) be the first derivative of j(q). Solve i(a) = 0.
0, 2/5, 2
Let v be 72/(-5940)*-30*22/12. Determine a, given that -2/3*a**5 + 1/2*a**3 + 0 + v*a**2 + 1/6*a - 2/3*a**4 = 0.
-1, -1/2, 0, 1
Determine t so that 6*t**2 + 6*t**2 + 11*t**2 - 3*t**2 + t**3 - 21*t**2 = 0.
0, 1
Let o(i) = -17*i**2 - 545*i - 36450. Let t(s) = -10*s**2 - 273*s - 18225. Let p(a) = -3*o(a) + 5*t(a). Let p(b) = 0. What is b?
-135
Let n(d) = 7*d**4 + 2*d**3 - 8*d**2 + 12*d + 3. Let v(s) = s**4 + s**3 - s**2 - 1. Let h(x) = n(x) - 6*v(x). Let h(y) = 0. What is y?
-1, 3
Let f(z) be the first d