+ 4)) + (-20)/(-75). Factor 2/15*t**2 - j - 2/15*t.
2*(t - 2)*(t + 1)/15
Suppose 0 = 15*o - 2715 + 2655. Let u(t) be the second derivative of 1/12*t**4 - 1/6*t**3 - 1/2*t**2 + o*t + 1/20*t**5 + 0. Find k such that u(k) = 0.
-1, 1
Let d(g) = 8*g + 1. Let r(b) = -5*b**2 - 128*b - 620. Let y(m) = 7*d(m) - r(m). Factor y(n).
(n + 33)*(5*n + 19)
Let f(y) = -72204*y**3 + 217352*y**2 - 2286*y + 14. Let j(u) = -72203*u**3 + 217354*u**2 - 2285*u + 12. Let v(m) = -3*f(m) + 4*j(m). Factor v(q).
-2*(q - 3)*(190*q - 1)**2
Let w(x) be the first derivative of 4*x**3 + 1/6*x**6 + 2*x**2 + 13/4*x**4 - 27 + 0*x + 6/5*x**5. Factor w(d).
d*(d + 1)**2*(d + 2)**2
Let h(s) = -38*s**3 - 650*s**2 + 264*s + 6. Let k(l) = 75*l**3 + 1300*l**2 - 535*l - 10. Let w(o) = -5*h(o) - 3*k(o). Let w(f) = 0. What is f?
-19, 0, 3/7
Let f(y) = -18*y**2 - 940*y - 922. Let a(k) = 22*k**2 + 943*k + 921. Let s(o) = 4*a(o) + 5*f(o). Find w, given that s(w) = 0.
-463, -1
Let h(d) be the third derivative of -d**8/448 - 79*d**7/280 - 1053*d**6/80 - 4901*d**5/20 - 2197*d**4/4 + 3*d**2 - 132. Factor h(m).
-3*m*(m + 1)*(m + 26)**3/4
Let x(r) be the first derivative of r**4/22 - 904*r**3/33 + 1349*r**2/11 - 1796*r/11 + 2845. Factor x(j).
2*(j - 449)*(j - 2)*(j - 1)/11
Let a be 12/4*-2 - 10800/(-760). Determine c, given that 4/19 + 230/19*c**3 - 100/19*c**4 + 22/19*c - a*c**2 = 0.
-1/10, 2/5, 1
Let l(k) be the second derivative of -1/240*k**6 + 0*k**2 + 7/12*k**3 - 1/3*k**4 + 0 + 11/160*k**5 + 25*k. Factor l(c).
-c*(c - 7)*(c - 2)**2/8
Let o(i) = -5*i**2 + 12*i + 5. Let d be (4/(-2) - 0) + (-130)/(-26). Let q(z) = 2*z**2 - 2*z. Let k(j) = d*q(j) + o(j). Suppose k(p) = 0. What is p?
-5, -1
Factor 0*s**2 + 1990*s + s**2 - 5*s**2 - 109861 - 105435 - 134*s.
-4*(s - 232)**2
Let j be (-1)/(-4)*(-291)/(-873). Let h(u) = -5*u + 92. Let g be h(16). Determine w, given that -j*w**2 + 2*w - g = 0.
12
Let s = 26 - 24. Let l be (-1086)/2715 + (-136)/(-90). Factor 2/9*a**3 + 2/3*a + l*a**2 - s.
2*(a - 1)*(a + 3)**2/9
Suppose -20*d + 83*d - 2130 = -8*d. Let -8 - 6*p**2 - d*p + 7/2*p**3 = 0. Calculate p.
-2, -2/7, 4
Let v be (0 - -5)*(-3)/(3/(-4)). Suppose 0 = -4*n - 3*j - 1, 4*n - 2*j = 2*j + v. Solve 0*z**2 + 35*z - 2*z**2 - 7*z**2 - 6*z**n - 10 = 0 for z.
1/3, 2
Let p(x) = x**2 + x + 1. Let z(q) = 4*q**2 + 6*q + 2. Let a be (-3 + 0)*3/(-9). Let s(j) = a*z(j) - 2*p(j). Determine b so that s(b) = 0.
-2, 0
Let f(y) be the second derivative of y**4/66 + 85*y**3/33 + 324*y**2/11 - 1557*y + 1. Suppose f(z) = 0. What is z?
-81, -4
Suppose -336/5*t - 9/5*t**4 - 3/5*t**5 + 96/5*t**3 - 144 + 216/5*t**2 = 0. What is t?
-6, -2, 2, 5
Suppose 4*p - 8 = 4. Factor 51 - 51 + g**4 - p*g**2 - 2*g**3.
g**2*(g - 3)*(g + 1)
Let d(g) be the third derivative of -61*g**2 + 0 - 484/9*g**3 - 11/9*g**4 + 0*g - 1/90*g**5. Solve d(z) = 0.
-22
Suppose -29 - 346 = -51*i - 24*i. Let v(q) be the second derivative of 0*q**3 + 1/48*q**4 + i*q + 0 - 1/80*q**5 + 0*q**2. Factor v(g).
-g**2*(g - 1)/4
Let v(z) = 1 + 25 - 28. Let l(d) = 5*d**2 - 730*d + 26615. Let p(f) = l(f) - 15*v(f). Determine w, given that p(w) = 0.
73
Suppose -4/3 - 152/3*p**2 + 74/3*p**3 + 82/3*p = 0. What is p?
2/37, 1
Let r(v) be the third derivative of -49*v**6/40 + 3801*v**5/20 - 270*v**4 + 154*v**3 - 5131*v**2. Factor r(o).
-3*(o - 77)*(7*o - 2)**2
Let s be ((-60)/175)/(78/(-21)). Let i(h) be the first derivative of s*h**5 - 15 + 0*h + 2/39*h**3 + 1/39*h**6 + 3/26*h**4 + 0*h**2. Find l such that i(l) = 0.
-1, 0
Let 1757 - 204*l**2 - 28*l**3 + 22*l - 59*l - 1757 - 19*l = 0. Calculate l.
-7, -2/7, 0
Let q(i) be the first derivative of i**4/30 - 164*i**3/9 - 1652*i**2/15 - 1104*i/5 + 8654. Factor q(o).
2*(o - 414)*(o + 2)**2/15
Let v(j) be the third derivative of -j**9/15120 - j**8/630 - 4*j**7/315 - 9*j**5/20 + 31*j**2. Let r(o) be the third derivative of v(o). Factor r(t).
-4*t*(t + 4)**2
Let q(o) be the first derivative of 2/9*o**3 + 0*o**2 - 1/30*o**5 + 66 + 0*o - 1/8*o**4. Determine u so that q(u) = 0.
-4, 0, 1
Let a be (10/(-12) - 0)*(-250)/2500. Let h(t) be the third derivative of 0 - 6*t**2 - 1/30*t**5 + 0*t**3 + 0*t + a*t**4 + 1/240*t**6. Factor h(j).
j*(j - 2)**2/2
Suppose 20*m - 17*m - 117 = 0. Solve -1 - 25*l**4 - 163*l**2 - m - 87*l**2 - 180*l - 135*l**3 = 0 for l.
-2, -1, -2/5
Suppose 91*y - 16 - 15 = 151. Let 94/5*u**3 + 22/5*u**5 + 0 + 84/5*u**4 - 8/5*u + 24/5*u**y = 0. Calculate u.
-2, -1, 0, 2/11
Let f(t) be the third derivative of -t**5/20 + 243*t**4/8 + 245*t**3 + 3575*t**2. Factor f(x).
-3*(x - 245)*(x + 2)
Let t = -27 - -22. Let c(j) = -3*j**4 + 57*j**3 - 310*j**2 + 147*j + 2063. Let z(n) = -n**2 - 1. Let m(o) = t*z(o) - c(o). Find i, given that m(i) = 0.
-2, 7
Let o(v) be the third derivative of -16*v**2 + 0*v - 7/6*v**4 + 1/6*v**3 + 0 + 49/15*v**5. Factor o(m).
(14*m - 1)**2
Let w(c) be the third derivative of -c**7/42 - c**6/24 + c**5 - 4135*c**2. Suppose w(j) = 0. Calculate j.
-4, 0, 3
Let l = -474 + 560. Let h be (-2)/2 - (-344)/l. Find b such that -2/3*b - b**2 + 1/3*b**4 + 0 + 0*b**h = 0.
-1, 0, 2
Let g = 31 - 21. Suppose g*b - 8*b = 4. Factor 82*u**2 - 47*u**b - 51*u**2 + 16*u**3 + 4*u.
4*u*(2*u - 1)**2
Let x be (36/63 - -3) + 3/7. Let 4 - 256*t - 68*t**3 - 110882*t**2 - 4 + 4*t**x + 111202*t**2 = 0. Calculate t.
0, 1, 8
Let x be ((-36)/10)/((-1)/(-220)*-6). Let u be 12/(-15) + x/15. Factor -u*o**2 + 4 - 27 - 1 - 4*o**3 - 52*o - 24*o**2.
-4*(o + 1)**2*(o + 6)
Let g(f) be the second derivative of f**5/30 + f**4/2 + 5*f**3/3 - 24*f**2 + 2*f + 3. Let d(j) be the first derivative of g(j). What is k in d(k) = 0?
-5, -1
Let l(o) be the third derivative of 0*o - 294*o**3 - 2*o**2 - 43/15*o**5 - 32 - 161/2*o**4 - 1/30*o**6. Factor l(w).
-4*(w + 1)*(w + 21)**2
Let f be ((-732)/18 + 46)/((2*-4)/(-2)). Find g, given that g**2 + f*g - 4/3 + 1/3*g**4 - 4/3*g**3 = 0.
-1, 1, 2
Let h(x) = -19*x**2 - 4695*x - 1118645. Let z(l) = 135*l**2 + 32860*l + 7830515. Let s(r) = -50*h(r) - 7*z(r). Suppose s(i) = 0. Calculate i.
-473
Let g = 183 - 181. Factor 16*y + g*y**2 + 54 - 4*y**2 - 14.
-2*(y - 10)*(y + 2)
Let s(y) be the third derivative of 1/30*y**6 + 0 - 16*y**2 + 1/105*y**7 - 2/3*y**4 - 2/15*y**5 + 0*y**3 + y. Factor s(m).
2*m*(m - 2)*(m + 2)**2
Factor 159/4*x + 126 - 3*x**2 - 3/4*x**3.
-3*(x - 7)*(x + 3)*(x + 8)/4
Let j(y) = 2*y**2 + 20*y - 12. Let l be j(-10). Let m = l + 14. Solve 4*b**m - 2 + 7*b + 1 - 4 + 3 = 0 for b.
-2, 1/4
Factor 35*b**2 - 36*b - 173*b**2 - 67*b**2 - 109*b - 30*b**3 + 30.
-5*(b + 1)*(b + 6)*(6*b - 1)
Let x(p) = -11*p**2 - p + 7. Let k(w) = 16*w**2 + 2*w - 11. Suppose -8*r + 2*r + 30 = 0. Let f(s) = r*k(s) + 7*x(s). Solve f(h) = 0 for h.
-2, 1
Let k(n) be the first derivative of -n**5/20 + 5*n**4/8 - 2*n**3 + 4*n**2 + 45. Let g(h) be the second derivative of k(h). Find b, given that g(b) = 0.
1, 4
Let h(x) be the second derivative of 0 - 1/30*x**6 + 101*x - 61/12*x**4 - 50*x**2 - 30*x**3 + 9/10*x**5. Suppose h(w) = 0. What is w?
-1, 10
Let c = 382 + -339. Let n be (1 + -1)/((-86)/c). Determine r, given that n - 4/13*r**3 - 2/13*r**2 + 2/13*r = 0.
-1, 0, 1/2
Let h(i) be the third derivative of 1/12*i**4 - 18/7*i**7 + 0 + 39/20*i**6 - i - 37/60*i**5 + 0*i**3 - 55*i**2 + 9/14*i**8. Factor h(k).
k*(k - 2)*(6*k - 1)**3
Let u be (8/8)/((-2)/6*-1). Suppose 4*c - c = -2*x, -c + 11 = -u*x. Determine t, given that -10*t**2 - 7*t**5 + 5*t**3 - 4*t**4 + 8*t**5 + 8*t**c = 0.
0, 1, 2
Solve -1201*q - 57*q + 1967*q - 236 - 3*q**2 = 0 for q.
1/3, 236
Let h(n) = -3*n + 20. Let t be h(3). Suppose -21*l - l**2 - t + 28*l + 5 = 0. Calculate l.
1, 6
Let h(z) = -z**3 - 4104*z**2 - 5606064*z - 2554497791. Let b(a) = -a**2 + a + 24. Let q(f) = 3*b(f) - h(f). Factor q(k).
(k + 1367)**3
Suppose -2*x = -4*h + 22, -5*x + 23 = 2*h + 6. Let 9*m + h*m + m**3 - 24*m = 0. Calculate m.
-3, 0, 3
Let f(d) = 2*d**2 - 6*d. Let c(o) = -o**2 + 6*o + 1. Let t = 102 + -105. Let k(a) = t*f(a) - 4*c(a). What is l in k(l) = 0?
-2, -1
Let -394*v - 220 - 642/5*v**2 + 226/5*v**3 - 2/5*v**4 = 0. What is v?
-1, 5, 110
Let w be (0 - 304233/(-93105)) + 4/12. Let m = w - 2/2069. Determine a so that -3/5*a**2 - 3/5*a + m = 0.
-3, 2
Suppose -65 + 79 = g. Let -31*u**3 - 10*u**5 + 8*u**2 - g*u**5 + 76*u**4 + 2*u**3 - 17*u**3 - 14*u**3 = 0. Calculate u.
0, 1/6, 1, 2
Let q be 1386/72 + -19 - (-