k**2 - 10*k - 4. Let j(n) = d*s(n) + c(n). Suppose j(y) = 0. Calculate y.
-5, -1
Let i(k) = -28*k**2 - 8*k + 22. Let z(x) = 9*x**2 + 3*x - 8. Let a(r) = r**2 - 6*r - 85. Let g be a(-7). Let n(m) = g*i(m) + 21*z(m). Find q such that n(q) = 0.
-12/7, 1
Let d(h) = h**2 + 16*h - 2. Let o be d(-16). Let z be (2 - (o + 2)) + 6 + -6. Let -3 + 7 - 8 + 2*u**z - 2*u = 0. Calculate u.
-1, 2
Let h(y) be the first derivative of 3*y**5/20 + 51*y**4/16 + 75*y**3/4 + 297*y**2/8 + 4906. Factor h(t).
3*t*(t + 3)**2*(t + 11)/4
Let z = -1523 - -1528. Let o(b) be the third derivative of 1/3*b**3 + 0*b - 1/18*b**4 + 0 + 11*b**2 + 1/270*b**z. Factor o(d).
2*(d - 3)**2/9
Let o(d) be the third derivative of d**6/96 + 361*d**5/80 - 217*d**4/48 + 10015*d**2. Factor o(v).
v*(v + 217)*(5*v - 2)/4
Let f = 276 - 270. Let c(v) = 5*v**4 - 102*v**3 + 44*v**2 + 2. Let k(s) = -2*s**2 - 1. Let r(p) = f*k(p) + 3*c(p). Factor r(n).
3*n**2*(n - 20)*(5*n - 2)
Let n(f) = 4*f**2 - 60*f**2 - 26*f**2 - 9*f**3 - 64 - 145*f. Let r(q) = -3*q**3 - 27*q**2 - 48*q - 21. Let m(s) = -3*n(s) + 8*r(s). Factor m(c).
3*(c + 1)**2*(c + 8)
Let x(h) = -h + 1. Suppose 2*j - t + 4 = -5*t, 2*j + 3*t + 6 = 0. Let s(a) = a**2 - 1. Let g(q) = j*x(q) - 3*s(q). Solve g(c) = 0 for c.
1
Let y(t) be the first derivative of -2*t**5/35 + 2*t**3/7 + 2*t**2/7 + 1500. Find v, given that y(v) = 0.
-1, 0, 2
Let y(o) be the third derivative of -o**5/90 + 539*o**4/18 - 290521*o**3/9 - 3*o**2 - 196*o + 1. Solve y(a) = 0 for a.
539
Suppose 2*h + 1 = 3*g, -3*h + 4*g + 21 = 7*g. Factor -h - 913*d**3 - 11*d**2 - 7*d + 26*d + 909*d**3.
-(d - 1)*(d + 4)*(4*d - 1)
Let x = -2951 - -2951. Let y(z) be the second derivative of x*z**3 + 22*z - 3/2*z**2 + 0 + 1/4*z**4. Factor y(q).
3*(q - 1)*(q + 1)
Let l(x) = 1604*x - 11224. Let t be l(7). Suppose -99*q**3 - 9*q**t - 1000/3 - 390*q**2 - 1900/3*q = 0. What is q?
-10/3, -1
Let h(g) be the third derivative of 8*g**7/525 - 178*g**6/15 + 198913*g**5/75 - 6586*g**4 + 32856*g**3/5 - g**2 + 407. Factor h(d).
4*(d - 222)**2*(2*d - 1)**2/5
Let n(c) = 6*c + 23. Let w(a) = a**2 + 7*a + 22. Let z(v) = 4*n(v) - 3*w(v). Let p(h) = -3*h**2 + 2*h + 24. Let t(u) = -5*p(u) + 4*z(u). Factor t(j).
(j - 2)*(3*j + 8)
Let r(w) be the second derivative of -36*w**3 + 15*w**4 + 0 + 1/10*w**6 + 0*w**2 + 115*w - 21/10*w**5. Factor r(f).
3*f*(f - 6)**2*(f - 2)
Let y(s) = s**2 - 37. Let t be y(-6). Let r(k) = 5*k**3 + 5*k**2 - 2*k + 2. Let b(c) = -c**3 - c**2 - 2*c - 1. Let i(v) = t*r(v) - 2*b(v). Factor i(o).
-3*o*(o - 1)*(o + 2)
Suppose 41/5*f**3 + 83/5*f**2 + 43/5*f + 1/5 = 0. Calculate f.
-1, -1/41
Let l = 17637/268 + -4292/67. Find f, given that 0 - l*f**3 + 1/4*f**4 + 0*f + 3*f**2 = 0.
0, 3, 4
Let h(a) = -459*a + 2295. Let i be h(5). What is l in 2/7*l**2 + i - 6/7*l = 0?
0, 3
Let d be (0 - -1) + 1/1. Let z = -890 - -892. Factor a**z + 2*a**2 - d*a**2 + a.
a*(a + 1)
Let u(x) be the second derivative of -x**7/42 + x**6/3 + 145*x**5 + 2470*x**4/3 - 1189760*x**3/3 - 17013568*x**2 + 3*x - 233. Find a, given that u(a) = 0.
-26, 44
Let m be (-555)/40 - 207/46. Let z = m + 149/8. Find g, given that 1/4*g**3 - z*g - 1/2 + 1/2*g**2 = 0.
-2, -1, 1
Let v be 3/1*((-3)/9 + 2). Let j(p) = 9*p**3 - 12*p**2 + 15*p - 6. Let y(c) = -8*c**3 + 13*c**2 - 17*c + 7. Let x(m) = v*j(m) + 6*y(m). Solve x(g) = 0.
1, 4
Let q be 1072/24 + 1/3. Let j be (-3)/q*-3 - (-972)/15. Factor -34*v**2 - j*v**2 + 27*v - 54*v - 57*v**3 - 9*v**4.
-3*v*(v + 3)**2*(3*v + 1)
Solve 0 - 5/2*t**4 - 360*t + 440*t**2 - 155/2*t**3 = 0.
-36, 0, 1, 4
Let t(w) = -2*w**2 + 22*w - 58. Let f be t(7). Let y be 6*(0 + f/(-16)). Find n, given that y*n - 9/4*n**2 + 3/2 = 0.
-2/3, 1
Let q(h) be the second derivative of h**6/6 + 8*h**5 + 505*h**4/4 + 1610*h**3/3 - 2450*h**2 + 2*h + 494. Suppose q(j) = 0. What is j?
-14, -5, 1
Suppose 116*a = 60*a + 57*a. Let g(x) be the third derivative of a*x - 1/60*x**5 + x**2 + 1/12*x**4 + 0*x**3 + 0. Factor g(n).
-n*(n - 2)
Let n be (3 - 4/(10/5))/(7 - 8). Let t(q) = q**2 + 1. Let x(u) be the third derivative of u**4/8 - u**3/2 + u**2. Let h(f) = n*x(f) - 3*t(f). Factor h(k).
-3*k*(k + 1)
Let q be -1 + 17 - (55/(-1))/((-4920)/984). Suppose -26/15*k**3 - 8/15 + 16/15*k - 14/15*k**4 + 22/15*k**2 + 2/3*k**q = 0. Calculate k.
-1, 2/5, 1, 2
Let y(v) = -v**2 + 2*v + 14. Let m be y(2). Let q be 2 - (15/110)/((-2)/56). Factor -8/11*u**2 + q*u**3 + 0*u + 0 - m*u**4 + 98/11*u**5.
2*u**2*(u - 1)*(7*u - 2)**2/11
Let m = 3111 + -3106. Let i(v) be the third derivative of 1/50*v**m + 1/30*v**6 - 14*v**2 + 0*v + 0 + 0*v**3 + 0*v**4 + 1/175*v**7. Let i(f) = 0. Calculate f.
-3, -1/3, 0
Let h be (-22728)/(-19887) + (-5)/(35/(-6)). Let 5/6*o**3 + 2/3*o + 19/12*o**h - 1/12 = 0. What is o?
-1, 1/10
Let y be -33*(18/27)/((-4)/58). Find g, given that -y - 48*g + 287 - 5*g**2 - 19*g**2 - 4*g**3 = 0.
-2
Let a(w) = w**3 + 3*w**2 + 21*w + 179. Let b be a(-6). Let u be ((-12)/(-70))/(b/(-4620)). Factor 48/5*k**2 + 2/5*k**4 - 22/5*k**3 + 0 + u*k.
2*k*(k - 6)**2*(k + 1)/5
Let i(f) be the third derivative of -f**5/30 - 121*f**4/12 + 82*f**3 - 495*f**2 + 1. Factor i(z).
-2*(z - 2)*(z + 123)
Let s = -126 - -350. Let -5*d**5 + 167*d + 3*d**5 + 4*d**5 - 39*d - 28*d**4 + s*d**2 + 66*d**3 = 0. Calculate d.
-1, 0, 8
Let y be -1 + (2 - 968)/(-6). Suppose 55 + 224 + 130 + y*z + 5*z**2 + 871 = 0. Calculate z.
-16
Suppose 5*f + 723 = -852. Let x be (-135)/f + (-34)/112. Find c, given that 0 - x*c**3 + 0*c**2 + 1/8*c = 0.
-1, 0, 1
Let w be ((-4)/72)/(5/250) + (-1 - (1 - 5)). Let 1/9*a**5 + w*a**4 - 4/9*a**2 + 2/9 - 2/9*a**3 + 1/9*a = 0. What is a?
-2, -1, 1
Let l = -1 - -6. Suppose -5*y + 5*g = -50, g - 30 = -6*y + 2*y. Let 16 - d + d**2 - y - l*d = 0. What is d?
2, 4
Let l(k) be the first derivative of 16/3*k**3 + 18 - 2*k**2 + 0*k + 8/5*k**5 - 5*k**4. Suppose l(r) = 0. What is r?
0, 1/2, 1
Let p(t) be the first derivative of 6*t**5/5 - t**4 - 22*t**3/3 + 10*t**2 + 3497. Factor p(q).
2*q*(q - 1)*(q + 2)*(3*q - 5)
Let d = 1379371/1805 + -3821/5. Let x = d - -365/722. Factor -7/4*b**2 + 2*b**3 - 3/4*b**4 + x*b + 0.
-b*(b - 1)**2*(3*b - 2)/4
Let d be (5 + -8 - 5)*(12 + -14). Suppose 35*c - 39*c + d = 0. Solve 8/3*i**c + 1/6*i + 0 - 1/6*i**2 - 8/3*i**3 = 0.
-1/4, 0, 1/4, 1
Suppose -89*g = -73*g - 784. Suppose 91*t - 57*t = g*t. Solve a**3 + t*a + 1/3*a**4 + 2/3*a**2 + 0 = 0.
-2, -1, 0
Factor -1835 - 5725 - 864*a**2 + 4*a**3 - 1978*a + 5510*a + 1544*a.
4*(a - 210)*(a - 3)**2
Let v be (-1312)/(-640) - 105/84. Factor v*c**2 + 148/5*c - 152/5.
4*(c - 1)*(c + 38)/5
Let z(k) be the second derivative of -3*k**5/100 - 175*k**4/2 - 153125*k**3/2 + 3*k + 900. Find v such that z(v) = 0.
-875, 0
Let x = 274546 + -274544. Factor 104/9*u + 40/9*u**3 + 34/9 + 12*u**x + 2/9*u**4.
2*(u + 1)**3*(u + 17)/9
Suppose -33*r = -38*r - 105. Let c be (-1764)/(-112)*(-6)/r. What is y in 27/4 + 3/4*y**2 + c*y = 0?
-3
Suppose -5*o = 5*b - 4*o - 18, -o = -3. Suppose 61 = b*q - 5*p, q + 3*p + 0*p + 3 = 0. Let 8*j**2 - 5*j**2 + j**2 + 0*j**2 + q*j = 0. Calculate j.
-3, 0
Let m(s) be the third derivative of -s**6/240 - 17*s**5/24 - 133*s**4/3 - 1083*s**3 + 299*s**2 + 5. Factor m(u).
-(u + 9)*(u + 38)**2/2
Let r(l) be the second derivative of 6859*l**5/100 + 4332*l**4/5 + 21888*l**3/5 + 55296*l**2/5 + 664*l. Factor r(a).
(19*a + 48)**3/5
Suppose 16*z + 121 = -23. Let g be z/(32/(-10) + (-2)/(-10)). Factor 0*v**g - 1/4*v**2 + 0*v + 1/4*v**4 + 0.
v**2*(v - 1)*(v + 1)/4
Suppose 115*l - 5 = 114*l. Suppose 149 = l*a + 2*k, -7*a = -2*a - 3*k - 164. Factor -13*f**2 - 67 - f**4 + a - 12*f + 32 - 6*f**3.
-(f + 1)**2*(f + 2)**2
Suppose 3*l = -4*n - 24, 3*l - 1035 = n - 1074. Factor -4/5*g**2 + 0*g + 2/3*g**n + 0 + 2/15*g**4.
2*g**2*(g - 1)*(g + 6)/15
Let o be (2 + -1)*2/4 - 32109/(-45870). Let o*l + 2/5*l**3 + 8/5*l**2 + 0 = 0. Calculate l.
-3, -1, 0
Let l be (-669)/8028 - 7/(-12). Factor 3*y**2 - 5/2*y + 0 - l*y**3.
-y*(y - 5)*(y - 1)/2
Let r(w) be the second derivative of 155*w + 1/15*w**3 + 0 + 0*w**2 + 1/30*w**4. Determine l, given that r(l) = 0.
-1, 0
Let z(w) be the first derivative of -w**7/735 - w**6/70 - 11*w**5/210 - w**4/14 + w**2 - 2*w - 71. Let f(d) be the second derivative of z(d). Factor f(j).
-2*j*(j + 1)*(j + 2)*(j + 3)/7
Let b(k) be the third derivative of k**6/280 + 117*k**5/140 + 21*k**4 + 530*k**3/