+ 2)*(g + 4)*(g + 11)**3
Factor -730*x - 106580 - 5/4*x**2.
-5*(x + 292)**2/4
Let y = -3320317/706 - -4703. Let b = y - -19057/3530. Determine x so that 24/5*x + 12/5 - 24/5*x**3 - b*x**2 + 3*x**4 = 0.
-1, -2/5, 1, 2
Let i(q) = -3*q**4 + 14*q**3 - 16*q**2 - 10*q + 13. Let s(l) = -55*l**4 + 240*l**3 - 270*l**2 - 170*l + 220. Let c(p) = -35*i(p) + 2*s(p). Solve c(m) = 0 for m.
-3, -1, 1
Let l(s) be the second derivative of -s**5/30 - 2*s**4/9 + s**3/9 + 4*s**2/3 - 963*s. Find m such that l(m) = 0.
-4, -1, 1
Let l = -27616 + 27620. Let x(m) be the second derivative of -4/15*m**3 + 38*m - 1/10*m**5 - 4/5*m**2 + 0 + 13/30*m**l. Let x(s) = 0. What is s?
-2/5, 1, 2
Factor 191/3*o**2 + 1/3*o**3 + 379/3*o + 63.
(o + 1)**2*(o + 189)/3
Let v(h) = -19 + 20 + 0*h - h**3 + h. Let b(u) = 18*u**3 + 8*u**2 - 10*u - 6. Let m(l) = -b(l) - 6*v(l). Let m(w) = 0. Calculate w.
-1, 0, 1/3
Let c(o) be the first derivative of -9/2*o + 254 + 21/8*o**2 - 1/6*o**3 - 1/16*o**4. Let c(a) = 0. What is a?
-6, 1, 3
Let x = 2350 + -2352. Let n be (2/(-6))/((-1)/3). Let l(k) = -19*k**3 - 90*k**2 - 85*k - 16. Let i(u) = u**3 + u + 1. Let z(v) = n*l(v) + x*i(v). Factor z(a).
-3*(a + 1)*(a + 3)*(7*a + 2)
Let l(r) be the first derivative of 0*r - 27 + 1/33*r**6 + 0*r**2 - 16/33*r**3 + 6/11*r**4 - 12/55*r**5. Solve l(t) = 0 for t.
0, 2
Factor 673*z - 354 + 162 - 3*z**2 + 4*z**2 - 188 - 294.
(z - 1)*(z + 674)
Let l(g) be the second derivative of g**4/54 + 341*g**3/27 - 38*g**2 + 2389*g. Suppose l(u) = 0. What is u?
-342, 1
Solve 1062 - 295*k**3 + 110*k + 757*k - 176*k**3 - 192*k**2 + 474*k**3 = 0 for k.
-1, 6, 59
Let 2948*f + 2904 + 1/6*f**3 + 265/6*f**2 = 0. What is f?
-132, -1
Let q(c) = 6*c**3 - 16*c**2 + 38*c - 20. Let r(g) = 14*g**3 - 33*g**2 + 78*g - 41. Let t(x) = 9*q(x) - 4*r(x). Factor t(d).
-2*(d - 1)**2*(d + 8)
Factor -5*y**2 - 171/5 - 123/5*y - 1/5*y**3.
-(y + 3)**2*(y + 19)/5
Determine t so that -52*t**2 - 272*t - 1009*t**3 + 2016*t**3 - 1003*t**3 = 0.
-4, 0, 17
Let c = -330 + 337. Suppose -4*b + 3*q + 15 = 0, 20 = -4*b + c*b - 4*q. Factor -1/2*j + 0*j**2 + b + 1/2*j**3.
j*(j - 1)*(j + 1)/2
Factor 5*h**3 - 4175549*h - 14985 - 61*h**2 - 34*h**2 + 4172624*h.
5*(h - 37)*(h + 9)**2
Let p(t) = 5*t + 27. Suppose 7*c + 6 + 29 = 0. Let u be p(c). Solve 14*g + g**4 + 18*g**3 + 25*g + 36*g**2 + u*g**4 - 15*g = 0.
-2, 0
Let u = 3598 + -3595. Let n(w) be the second derivative of 8*w + 5/42*w**7 + w**6 + 0*w**3 + 0 + 10/3*w**4 + 0*w**2 + u*w**5. Suppose n(m) = 0. What is m?
-2, 0
Determine g, given that -2376*g**4 + 81*g**3 + 3*g**5 + 1117*g**4 + 1223*g**4 = 0.
0, 3, 9
Let n(g) be the third derivative of -g**7/350 - 9*g**6/200 + 11*g**5/100 + 9*g**4/40 - g**3 - 137*g**2 - g + 1. Suppose n(w) = 0. Calculate w.
-10, -1, 1
Let v(a) be the second derivative of -a**4/6 - 16*a**3 + 49*a**2 - 577*a - 2. Factor v(d).
-2*(d - 1)*(d + 49)
Let t(h) = 42*h**4 - 27*h**3 + 18*h**2 - 3*h + 6. Let c(r) = -125*r**4 + 82*r**3 - 50*r**2 + 8*r - 17. Let y(s) = 6*c(s) + 17*t(s). Suppose y(v) = 0. What is v?
-1/3, 0, 1/4, 1
Let g(d) be the first derivative of 3*d**4/4 + 4*d**3 - 1713. Let g(k) = 0. What is k?
-4, 0
Factor 175/9*s + 1/9*s**2 + 76.
(s + 4)*(s + 171)/9
Let a = 67 - 65. Solve -12*l**4 + 9*l**4 + 4*l**3 - 3*l**3 - l**5 + 3*l**a = 0 for l.
-3, -1, 0, 1
Let d be 7 - (23 + (836/(-19) - -26)). Factor h**4 + 0*h + 1/2*h**5 + 0*h**d + 1/2*h**3 + 0.
h**3*(h + 1)**2/2
Find o, given that -2/11*o**5 + 860/11*o**4 + 0 - 185760/11*o**2 - 8326*o**3 - 93312/11*o = 0.
-1, 0, 216
Let y(o) be the third derivative of o**7/49 - o**6/30 - 31*o**5/210 - o**4/42 + 1355*o**2. What is f in y(f) = 0?
-1, -1/15, 0, 2
Let r(p) be the first derivative of 3/10*p**5 + 76 - 3/8*p**4 + 3/4*p**2 - 1/2*p**3 + 0*p. Let r(h) = 0. What is h?
-1, 0, 1
Let n(l) be the second derivative of -l**6/195 + 7*l**5/5 + 185*l**4/26 + 4*l**3/39 - 740*l**2/13 + 1735*l. Find z, given that n(z) = 0.
-2, 1, 185
Let c(o) be the second derivative of 0 - 9/10*o**3 - 61*o + 1/20*o**4 + 21/5*o**2. Factor c(x).
3*(x - 7)*(x - 2)/5
Let p be (20/240)/(1617/84 + -19). Let -11/3*y + p*y**2 + 10/3 = 0. Calculate y.
1, 10
Let b(x) = -89*x**3 + x**2 + 47*x + 45. Let k be b(-1). Suppose -12*o = -34*o + k. Factor 2/5*g**3 + 0 + 0*g**2 + 2/5*g**o + 0*g.
2*g**3*(g + 1)/5
Let w(o) = 31*o**2 - 2*o. Let l be w(-5). Let z = l - 3901/5. Factor 54/5 + z*p**2 - 3/5*p**3 - 63/5*p.
-3*(p - 3)**2*(p - 2)/5
Let y(i) be the second derivative of 0 - 1/210*i**5 + 0*i**3 + 24*i**2 + 1/28*i**4 + 28*i. Let v(r) be the first derivative of y(r). Factor v(s).
-2*s*(s - 3)/7
Suppose -k - 3*u - 16 = 0, -23751*k + 4*u = -23747*k - 32. Suppose -6*q**k - 3/4*q**3 - 63/4*q - 27/2 = 0. What is q?
-3, -2
Let i(c) = -c**2 + 9*c + 12. Let p be i(10). Let v(f) = 2*f**3 + 14*f**2 - 10*f - 148. Let x(w) = -1. Let n(a) = p*x(a) + v(a). Factor n(q).
2*(q - 3)*(q + 5)**2
Let a(z) be the first derivative of z**8/1680 - z**7/140 + z**6/120 + z**5/12 - 2*z**3 + 4*z - 98. Let o(t) be the third derivative of a(t). Factor o(m).
m*(m - 5)*(m - 2)*(m + 1)
Let j(l) be the second derivative of -l**4/3 + 68*l**3/3 - 290*l**2 - 2*l - 1540. Factor j(v).
-4*(v - 29)*(v - 5)
Suppose -396/17*h + 398/17 - 2/17*h**2 = 0. What is h?
-199, 1
Let s = 23 + -23. Suppose s = -a - 3 + 49. Factor a*c + 4*c**3 - 46*c.
4*c**3
Suppose -3*g = 2*l - 3410, 5*g = 4*l - 9789 + 3013. Let b = 1703 - l. Suppose -2/3 + 2/3*y**b + 4/3*y**3 - 4/3*y + 0*y**2 = 0. What is y?
-1, 1
Let x(p) be the first derivative of -2/27*p**3 + 32/9*p + 5/3*p**2 + 141. Factor x(s).
-2*(s - 16)*(s + 1)/9
Let h be (-465)/(-124) - 315/90. What is t in 7/2*t + h*t**2 + 0 = 0?
-14, 0
Let b = 1100/73 - 11662/803. Determine o, given that -2/11*o**3 + b + 10/11*o + 2/11*o**2 = 0.
-1, 3
Suppose 197*g = 179*g + 36. Let d be 0*(-1 - 0) + 2. Solve 33*l**g + 8 - 69*l**2 + 20*l**d + 24*l**3 - 12*l - 12*l**5 + 9*l**4 - l**4 = 0 for l.
-1, 2/3, 1
Let z(b) be the first derivative of -2*b**5/35 + 5*b**4/14 + 2*b**3/3 - 5*b**2/7 - 12*b/7 - 866. Find c such that z(c) = 0.
-1, 1, 6
Determine c so that -40/13 - 2/13*c**3 + 24/13*c + 18/13*c**2 = 0.
-2, 1, 10
Let c(r) be the second derivative of -r**10/75600 - r**9/9450 - r**8/5600 - r**4/12 - 15*r**2/2 - 22*r. Let v(q) be the third derivative of c(q). Factor v(b).
-2*b**3*(b + 1)*(b + 3)/5
Let c(a) be the first derivative of 3*a**5/25 - 3*a**4/4 + 3*a**3/5 + 27*a**2/10 + 1664. Factor c(l).
3*l*(l - 3)**2*(l + 1)/5
Let g(l) be the second derivative of -1/114*l**4 - 2/57*l**3 + 0*l**2 + 0 + 1/190*l**5 - 77*l. Factor g(d).
2*d*(d - 2)*(d + 1)/19
What is d in 0 + 2/3*d**4 + 8*d - 32/3*d**2 + 2*d**3 = 0?
-6, 0, 1, 2
Let d(i) be the second derivative of i**4/16 + 113*i**3/4 + 675*i**2/8 - 3459*i. Find z such that d(z) = 0.
-225, -1
Let m(q) = -10*q + 150. Let n be m(15). Let j(d) be the first derivative of 33 + n*d**2 + 2/9*d**4 + 0*d**3 + 0*d - 2/45*d**5. Factor j(r).
-2*r**3*(r - 4)/9
Let i be -3 + (6 - 0) - -28. Let c = i - 29. Factor 7*a**2 + 4*a**3 + 5*a**c + 126*a - 12 - 130*a.
4*(a - 1)*(a + 1)*(a + 3)
Let p be 14/12 + 10696/(-9168). What is r in -20/3*r + p + 2/3*r**3 - 19/3*r**2 + 1/3*r**4 = 0?
-5, -1, 0, 4
Let q(n) = 3*n**3 - 21*n**2 + 24*n + 63. Let x(s) = -2*s**3 + 2*s - 5. Let b(c) = q(c) + 3*x(c). Factor b(v).
-3*(v - 2)*(v + 1)*(v + 8)
Let p be 15/9 + 3/9. Let c = 2237/2739 + -137/913. Solve c*v**p - 4/3 + 2/3*v = 0 for v.
-2, 1
Let g(r) be the third derivative of 0*r**3 - 1/8*r**4 - 58*r**2 + 1/240*r**5 + 0*r + 0. Find h such that g(h) = 0.
0, 12
Suppose 0 = 4241*u - 4296*u + 1925. Let v(p) be the first derivative of 8/21*p**3 + 0*p - 1/7*p**4 + u + 16/7*p**2. Factor v(f).
-4*f*(f - 4)*(f + 2)/7
Suppose -6*x + 15839 = 15821. Let o(c) be the first derivative of 20*c + 14 + 5/3*c**x - 10*c**2. Factor o(p).
5*(p - 2)**2
Let q(a) be the first derivative of 26 + 3/20*a**5 + 3/2*a**3 - 3/4*a**4 + 34*a - 3/2*a**2. Let d(j) be the first derivative of q(j). Solve d(p) = 0 for p.
1
Find o such that -1/4*o**3 - 195/2*o + 0 + 41/4*o**2 = 0.
0, 15, 26
Let b(q) be the third derivative of q**6/48 + 53*q**5/120 - 41*q**4/24 + 2*q**3 + 2*q**2 + 4*q - 127. Factor b(p).
(p - 1)*(p + 12)*(5*p - 2)/2
Let g(m) be the first derivative of -3*m**4/28 + 26*m**3/21 - 8*m**2/7 + 2669. Factor g(w).
-w*(w - 8)*(3*w - 2)/7
Let c be -2 + 2 - (