 be the first derivative of 0*b**3 - 3/4*b**o + b + 1/8*b**4 - 3. Let p(k) = 0. Calculate k.
-2, 1
Let n(v) be the second derivative of -56*v**4 - 83/50*v**5 + 0 + 0*v**2 + 588/5*v**3 - 31*v - 1/75*v**6. Suppose n(p) = 0. Calculate p.
-42, 0, 1
Suppose 50*a**4 - 36*a**5 - 2*a**4 + 817*a - 184 - 319*a - 392*a**2 + 28*a**3 + 38*a**5 = 0. What is a?
-23, -4, 1
Let p be 2*2/(-8)*22439/(-2362). Factor -p*z**2 + 1/4*z**3 + 99/4*z - 81/4.
(z - 9)**2*(z - 1)/4
Let h = -1/57 + 191/1140. Let z = 1/20 + h. Factor 0 - z*r**2 + 1/5*r.
-r*(r - 1)/5
Let n(s) be the second derivative of s**6/200 + s**5/50 - s**4/40 - s**3/5 + 85*s**2/2 - 22*s. Let t(z) be the first derivative of n(z). Factor t(h).
3*(h - 1)*(h + 1)*(h + 2)/5
Let x(h) be the first derivative of h**3 + 12*h**2 - 99*h + 2078. Factor x(m).
3*(m - 3)*(m + 11)
Factor 36/5*z**2 + 2/5*z**3 + 34/5*z + 0.
2*z*(z + 1)*(z + 17)/5
Factor -164/3*u - 6724/3 - 1/3*u**2.
-(u + 82)**2/3
Let b(p) = -p**2 - 7*p - 28 + 0*p**2 + 52. Let s be b(-8). Solve 28*h + 120*h + 2*h**3 - s*h**2 + 14*h - 20*h**2 = 0.
0, 9
Suppose 76 = 6*h - 8. Suppose 22*s = 29*s - h. Find w, given that 1/2*w**4 - w**s + 3/4*w**3 + 0 - 1/4*w**5 - w = 0.
-1, 0, 2
Let q(d) = 2*d**3 - 279*d**2 - 424*d + 141. Let f be q(141). Factor 0*t**2 - 2/7*t**3 - 2/7*t**4 + f*t + 0.
-2*t**3*(t + 1)/7
Determine x so that 295*x**2 - 285*x - 645*x - 802974*x**3 + 802979*x**3 = 0.
-62, 0, 3
Let y(u) be the first derivative of 28 - 1/3*u**3 + 3*u + u**2. Factor y(x).
-(x - 3)*(x + 1)
Suppose -4 = 187836*o - 187838*o. Let 5*h**o + 7/3*h**3 + 3*h + 1/3*h**4 + 0 = 0. Calculate h.
-3, -1, 0
Let i = 7817/2 - 5339015/1366. Let v = i - -2057/2732. Factor -3/4*x**3 + 0 + v*x**4 + 3/4*x - 3/4*x**2.
3*x*(x - 1)**2*(x + 1)/4
Let a(i) be the first derivative of i**4/4 + 2092*i**3/3 + 1096205*i**2/2 + 2184050*i + 4092. Solve a(l) = 0.
-1045, -2
Let h(s) be the third derivative of 17*s**5/140 - 3*s**4/8 - 13*s**3/7 - 3*s**2 - 2*s + 445. Solve h(v) = 0 for v.
-13/17, 2
Let f be -4 - 35/(-21)*9. Let -3*g + g**2 + 0*g**2 + 11*g - 3*g + 28 + f*g = 0. Calculate g.
-14, -2
Suppose -8/3 - 10/9*l**3 + 34/9*l - 2/9*l**4 + 2/9*l**2 = 0. What is l?
-4, -3, 1
Let n(o) = o**3 + 28*o**2 - 60*o + 26. Let j = -252 + 257. Let x(i) = 28*i**2 - 60*i + 28. Let b(f) = j*x(f) - 4*n(f). Solve b(t) = 0 for t.
1, 3
Let t be (40/16)/((-15)/(-6))*8. Suppose -x**2 + 248*x**4 + 49*x**2 + 42*x**3 - 238*x**4 + t*x = 0. Calculate x.
-2, -1/5, 0
Factor 8/5*w**3 + 0 - 2/5*w**2 - 8/5*w + 2/5*w**4.
2*w*(w - 1)*(w + 1)*(w + 4)/5
Let v(q) be the third derivative of -3*q**4/8 - 13*q**2. Let k be v(-3). Suppose 2*u - 119*u - 54 - 17*u**2 - 2*u**4 - u**4 - k*u**3 - 70*u**2 = 0. What is u?
-3, -2, -1
Let f = 1148 + -1034. Let i be 30/(-4)*(f/(-30) + 3). Let i + 3/8*w**4 - 15*w - 15/4*w**3 + 99/8*w**2 = 0. What is w?
1, 4
Find p, given that -21*p - 30*p + 79 - 5*p**2 - 35 + 8*p**2 + 166 = 0.
7, 10
Let y(b) = 28*b**2 + 1402*b + 2794. Let x(l) = -48*l**2 - 2806*l - 5590. Let v(r) = 3*x(r) + 5*y(r). Determine m so that v(m) = 0.
-350, -2
Let g(b) = 2*b**2 - b + 1. Let j = -258 + 268. Let n(u) = 18*u**2 - 22*u. Let x(z) = j*g(z) - n(z). Determine p so that x(p) = 0.
-5, -1
Let t be (16 + 28/(-7))/1. Find k, given that 4*k**3 + 16*k**2 + t + k**3 + 35*k + 2*k**2 - 2*k**3 - 8*k = 0.
-4, -1
Let w(a) be the second derivative of -6/7*a**2 + 5*a - 1/2*a**4 + 3 - 19/21*a**3 - 9/70*a**5 - 1/105*a**6. Factor w(z).
-2*(z + 1)**3*(z + 6)/7
Let k(r) be the second derivative of -2/15*r**6 - 6*r**3 - r + 0*r**2 - 5*r**4 + 6 - 7/5*r**5. Suppose k(g) = 0. What is g?
-3, -1, 0
Suppose z + 276*k - 280*k + 14 = 0, -z - 2*k + 10 = 0. Let t be 110 - 1 - 0 - -1. Let 3*l**z + t - 73 + 155 + 48*l = 0. Calculate l.
-8
Let a(p) be the third derivative of -p**7/245 - 43*p**6/210 - 53*p**5/210 + 43*p**4/42 + 8*p**3/3 + 3188*p**2. Solve a(j) = 0.
-28, -1, -2/3, 1
Suppose 0*y - 13*y = -52. Factor 0 + 3*m + 3/2*m**2 - 3/4*m**3 - 3/8*m**y.
-3*m*(m - 2)*(m + 2)**2/8
Let p(m) be the first derivative of -4*m**5/35 + 164*m**4/7 + 4*m**3/21 - 328*m**2/7 + 246. Solve p(j) = 0.
-1, 0, 1, 164
Let w(y) be the third derivative of 2*y**7/21 - 23*y**6/15 + 43*y**5/5 - 62*y**4/3 + 40*y**3/3 - y**2 + 983*y + 1. Let w(a) = 0. Calculate a.
1/5, 2, 5
Solve -12*z**2 - z - 165*z**3 + 3*z + 233*z**3 - 70*z**3 + 12 = 0.
-6, -1, 1
Let x be -14 + (1 - (348/(-18) - -1)). Solve x*n + 10 + 2/3*n**2 = 0.
-5, -3
Let i be ((-18)/(-153) + (-11265)/(-6120))*282. Solve 47/2*t - 1/4*t**2 - i = 0.
47
Suppose -159*g + 143*g = 64. Let r be (-10)/g - (-7)/14. Factor 9/2*n**2 - 3/2*n**3 - r*n + 0.
-3*n*(n - 2)*(n - 1)/2
Let u = 2/449 - -892/1347. Let p(s) = s**2 - 26*s + 29. Let k be p(1). Factor 14/3*o + k + u*o**2.
2*(o + 1)*(o + 6)/3
Suppose -10*t + 173 - 33 = 0. Let r be (1/((-21)/4))/((-4)/t). Factor 32/3 + r*u**2 + 16/3*u.
2*(u + 4)**2/3
Let r be 23 + (-15 - (22 + -21)) + (0 - 7). Factor -1/11*x**3 + 9/11*x + r*x**2 + 0.
-x*(x - 3)*(x + 3)/11
Let w(u) be the third derivative of -u**6/120 + 17*u**5/30 + 19*u**4/3 - 186*u**2 - u. Factor w(m).
-m*(m - 38)*(m + 4)
Let c(d) be the second derivative of 0*d**3 + 0 - 1/10*d**6 + 1/2*d**4 + 3/20*d**5 + 0*d**2 - 60*d. Solve c(y) = 0 for y.
-1, 0, 2
Let k(t) be the second derivative of 352/65*t**5 + 36/13*t**4 + 25/39*t**3 - 55 + 512/195*t**6 + 1/13*t**2 + 2*t. Determine s so that k(s) = 0.
-1, -1/8
Let j(x) = -x**3 + 16*x**2 - 42*x + 33. Let r be j(13). Let g be 20/r - (1 - 7). Solve -32/3*l + 14/3*l**3 + 10/3*l**2 + g = 0 for l.
-2, 2/7, 1
Let q = -261599 + 261602. Let 9/2*x**q - 2*x + 3*x**2 + 0 + 5/4*x**4 = 0. What is x?
-2, 0, 2/5
Let a(h) = -h**2 - h - 1. Let n(u) = -28*u**2 - 26*u + 1. Let v(d) = -d + 23. Let p be v(22). Let j(l) = p*a(l) - n(l). Factor j(r).
(r + 1)*(27*r - 2)
Let k(q) be the second derivative of -q**6/300 - q**5/20 - q**4/8 + q**3/6 + 4*q**2/5 + 2*q - 4494. Let k(o) = 0. What is o?
-8, -2, -1, 1
Suppose -3*n = 3*m - 24, 0 = 3*n - 7*n + 3*m - 3. Let s(t) be the second derivative of -14*t + 0 - 2/27*t**4 - 1/9*t**2 + 4/27*t**n. Solve s(a) = 0.
1/2
Let d(v) be the third derivative of -v**8/896 + v**7/560 + 3*v**6/160 + v**2 + 278. Find h such that d(h) = 0.
-2, 0, 3
Let a(z) be the second derivative of 0 - 1/20*z**4 + 3/10*z**3 - 3/5*z**2 - 77*z. Let a(c) = 0. Calculate c.
1, 2
Factor 511 - 2*v**2 + 69 - 1562*v + 984.
-2*(v - 1)*(v + 782)
Let k(q) = q**2 - 2*q + 1. Let u(w) = -2*w**2 - 164*w + 1435. Let j(t) = 5*k(t) + u(t). Factor j(v).
3*(v - 48)*(v - 10)
Let b = 472 - -234. Suppose 710*u = b*u. Solve -1/5*d**2 - 2/5*d + u = 0.
-2, 0
Let w(z) be the first derivative of 2/3*z**3 - 17 + 0*z - 3/2*z**4 + 0*z**2. Let j(n) = 29*n**3 - 10*n**2. Let v(k) = -2*j(k) - 11*w(k). Factor v(l).
2*l**2*(4*l - 1)
Suppose -3 + 1 = -2*l. Let b(o) = -o**4 - o**3 + o + 1. Let f(p) = -p**4 - 10*p**3 + 2*p**4 + p**4 + 1 + p. Let n(q) = l*b(q) - f(q). Factor n(u).
-3*u**3*(u - 3)
Factor 193*j**3 + 1024*j + 15*j**4 + 0 + 1/4*j**5 - 960*j**2.
j*(j - 2)**2*(j + 32)**2/4
Let q be ((-52)/120)/(7/(-101892)*3). Let y = -2102 + q. Find z, given that -6/5*z**3 - y*z**2 + 0 + 2/15*z**4 + 8/15*z + 4/15*z**5 = 0.
-2, -1, 0, 1/2, 2
Let i(v) = -23*v + 25. Let m(k) = 64*k - 76. Let s(y) = 14*i(y) + 5*m(y). Let n be s(-17). Factor -1/4*o**5 + 0*o + 0 + 0*o**n + 0*o**2 + 1/4*o**3.
-o**3*(o - 1)*(o + 1)/4
Let t be 10/7 - 72/(-126). Let l(h) be the first derivative of 180*h - 5/4*h**4 - 55/3*h**3 - 5 - 60*h**t. Find i, given that l(i) = 0.
-6, 1
Let i(n) be the second derivative of 3*n**6/55 - 903*n**5/110 + 3800*n**4/11 - 2500*n**3/11 - 23*n + 29. Factor i(k).
6*k*(k - 50)**2*(3*k - 1)/11
Let f = -2/3217 + -77194/22519. Let u = f - -213/56. Suppose -9/8*x**2 + 0 - 9/8*x**3 - 3/8*x**4 - u*x = 0. Calculate x.
-1, 0
Let y(t) be the third derivative of t**7/210 + t**6/5 + 131*t**5/60 - 13*t**4/2 + t**2 + 394. Factor y(i).
i*(i - 1)*(i + 12)*(i + 13)
Factor 44*h - 29/4*h**2 + 51 - 1/4*h**3.
-(h - 6)*(h + 1)*(h + 34)/4
What is p in 1896*p - 3545*p + 555*p**3 + 3200 - 3143*p + 1588*p**2 - 277*p**3 - 274*p**3 = 0?
-400, 1, 2
Let q be 8/(-10)*4500/4620. Let w = q - -608/385. Let 3/5 + w*g - 7/5*g**2 = 0. Calculate g.
-3/7, 1
Find u such that -892448/9 - 61154/9*u**2 - 2/9*u**4 - 50768*u - 76*u**3 = 0.
-167, -4
Let z(l) = 24*l**2 + 29*l - 33. Let w(q) = -13*q**2 - 