4 + 9*c**5/20 + 4*c**4/3 + 2*c**3 + 881*c**2. Factor v(p).
-(p - 3)*(p + 1)**2*(p + 2)**2
Let l(r) be the second derivative of 1/10*r**4 - 1/150*r**6 + 70 + 12/5*r**2 + 3/100*r**5 - 14/15*r**3 + 2*r. Let l(w) = 0. Calculate w.
-3, 2
Suppose 5*t + 2*i = 0, 2*t + 2*i + 14 = 4*t. Suppose -2*o = t*v - 2, 3*v - o = -3*o + 4. Factor 0*q + 1/5*q**v + 0.
q**2/5
Let t = -13927 + 13929. Let l(m) be the second derivative of 19*m + 0 + 1/36*m**4 + 1/3*m**3 - 7/6*m**t. Factor l(x).
(x - 1)*(x + 7)/3
Let k = 156269/26648 - -36/3331. Determine p so that -39/8*p**3 - 171/8*p**2 - 14*p + k*p**4 - 3/2 + 15/8*p**5 = 0.
-3, -1, -2/15, 2
Let c(q) be the third derivative of 1/6*q**5 + 1/480*q**6 + 25/6*q**4 + 0 - 33*q**2 - q + 0*q**3. Factor c(r).
r*(r + 20)**2/4
Let m be (-3 - 15/(-3)) + 3 + -3. Suppose 48*b - 80 + b**2 + 2*b**2 - 4*b**m - 5*b**2 + 2*b**2 = 0. Calculate b.
2, 10
Suppose 478 - 140 = 13*s. Determine a, given that -4*a + 22*a**3 - 72*a**3 + 25*a**3 + s*a**3 + 2*a - a**2 = 0.
-1, 0, 2
Suppose 0 = 5*y + 6*z - 2*z - 350, 5*y - 350 = -2*z. Let a = y + -68. Find u, given that -11 + 105*u**a + 1 - 110*u**2 - 15*u = 0.
-2, -1
Let k(m) be the first derivative of 0*m + 49 + 7/12*m**3 + 0*m**2 + 1/24*m**6 - 1/16*m**4 - 7/20*m**5. Determine z, given that k(z) = 0.
-1, 0, 1, 7
Suppose -15*u + 9*u = -30. Suppose -1 = -z + 3*s + 1, -3*z - u*s = -6. Find i, given that 8*i + 37*i**2 - 4 - 85*i**z + 44*i**2 = 0.
1
Let l(t) be the second derivative of -t**7/336 + 3*t**6/40 + 5*t**5/32 - 19*t**4/16 - 4080*t. Solve l(y) = 0 for y.
-3, 0, 2, 19
Suppose -27*i + 2138 = -2105 + 4162. Suppose -120/11*v - 20/11*v**i - 74/11*v**2 - 2/11*v**4 - 72/11 = 0. What is v?
-3, -2
Let l(s) be the first derivative of 2*s**5/55 + 97*s**4/22 - 394*s**3/33 + 9*s**2 - 9110. Find u such that l(u) = 0.
-99, 0, 1
Suppose -32643 = 179*g - 33001. Factor -69/5*y - 36/5 - 6*y**g + 3/5*y**3.
3*(y - 12)*(y + 1)**2/5
Suppose 0*g - 5 = g, 0 = 4*w - g + 7. Let z be 4 - (7 - (8 + w)). Factor -z + 2/5*f**3 - 14/5*f**2 + 22/5*f.
2*(f - 5)*(f - 1)**2/5
Suppose 273 = -23*a + 69*a + 181. Factor 8/3*o + 0 - 2/3*o**3 + a*o**2.
-2*o*(o - 4)*(o + 1)/3
Let s(i) = -33*i**2 + 207*i - 270. Let h be s(4). Find f such that h*f + 5/2*f**3 + 20*f**2 + 0 = 0.
-6, -2, 0
Let m = -1273 - -1255. Let n be m/819*(-5 - (2 - 0)). Find x, given that n*x**2 - 2/13*x - 12/13 = 0.
-2, 3
Let x(c) be the second derivative of c**6/6 + 11*c**5/2 + 275*c**4/4 + 1250*c**3/3 + 1250*c**2 - 893*c. Solve x(k) = 0.
-10, -5, -2
Let b(y) be the first derivative of -y**7/280 + y**5/40 - y**3/8 - 47*y**2/2 - 2*y + 33. Let k(i) be the second derivative of b(i). Factor k(w).
-3*(w - 1)**2*(w + 1)**2/4
Let l = 421 - 413. Let o be 4/8 + (-2)/l. Find h, given that -o*h**2 + 0*h + 1/4 = 0.
-1, 1
Let y be ((-5 - 18) + (-13776)/(-588))/(15/(-21) - -1). Factor 45/2*c**2 + y*c**4 + 0 + 75/2*c - 27/2*c**3.
3*c*(c - 5)**2*(c + 1)/2
Factor 77/3 + 1/2*a**2 + 77/6*a**3 - 1/6*a**4 - 233/6*a.
-(a - 77)*(a - 1)**2*(a + 2)/6
Let d(m) = m**2 - 695*m - 7050. Let c be d(-10). Solve -14/15*w**2 - 2/15*w**3 + 16/15*w + c = 0.
-8, 0, 1
Let o(a) = 2*a**2 - 15*a - 243. Let u be o(-8). Let i(q) be the first derivative of -21/8*q**2 - 3/5*q**u - 39/16*q**4 - 15/4*q**3 + 4 - 3/4*q. Factor i(g).
-3*(g + 1)**3*(4*g + 1)/4
Let g(d) be the second derivative of 0*d**2 + 3/140*d**5 - 1/14*d**3 - 167*d + 0 + 0*d**4. Factor g(w).
3*w*(w - 1)*(w + 1)/7
Let c(p) be the first derivative of -1/20*p**5 + 3/8*p**2 - 1/12*p**3 + 1/2*p + 75 - 3/16*p**4. Factor c(u).
-(u - 1)*(u + 1)**2*(u + 2)/4
Let x(r) = -56*r - 3637. Let s be x(-65). Solve -114/5*i**4 - 4/5*i - 36/5*i**5 - 20*i**s - 34/5*i**2 + 0 = 0.
-2, -1/2, -1/3, 0
Suppose 199*r = 196*r - 2*z + 14, -2*z = -4*r + 42. Factor -14/5*u**3 - 46/5*u**2 - 8/5 - r*u.
-2*(u + 1)*(u + 2)*(7*u + 2)/5
Factor 370*o + 781 + o**2 + 402 - 814.
(o + 1)*(o + 369)
Let c(d) be the third derivative of -1/30*d**6 + 0*d**3 - 2 + 1/168*d**8 + 1/12*d**4 + 0*d - 45*d**2 + 0*d**7 + 0*d**5. Solve c(v) = 0 for v.
-1, 0, 1
Let g be -2 + 152/78 + 171/(373464/1568). Suppose -g - 128/3*y**2 - 32/3*y = 0. Calculate y.
-1/8
Let g = 2248 - 2237. Let t(r) be the second derivative of 0 + 1/60*r**5 - 1/36*r**4 + 0*r**2 + g*r + 0*r**3 - 1/126*r**7 + 1/90*r**6. Factor t(i).
-i**2*(i - 1)**2*(i + 1)/3
Let d be (90/3072)/((-15)/(-10) - 2). Let c = d - -10917/2816. Factor c*l**3 + 30/11*l**2 - 12/11*l + 0.
6*l*(l + 1)*(7*l - 2)/11
Let a = -54205/2 + 25359. Let c = -1743 - a. Solve 7/4*d**3 - 3/4*d**4 + 0*d - c*d**2 + 0 = 0 for d.
0, 1/3, 2
Let n(q) be the second derivative of -q**5/20 - 13*q**4/12 - 20*q**3/3 + 9903*q. Let n(u) = 0. Calculate u.
-8, -5, 0
Let a be (-1185)/(-1580)*(-12)/(-3). Factor 11/4 + 1/4*x**2 - a*x.
(x - 11)*(x - 1)/4
What is l in 0*l - 2/3*l**3 + 74/3*l**2 + 0 = 0?
0, 37
Factor -15*c + 31*c**2 - 7*c**2 - c - 48*c**3 + 2*c**5 - 6*c**4 - 46*c**3 + 90*c**3.
2*c*(c - 2)**2*(c - 1)*(c + 2)
Let f(t) be the first derivative of t**5/25 - 4*t**4/5 - 745. Find b such that f(b) = 0.
0, 16
Let a(r) be the second derivative of 3*r**5/10 - 379*r**4/3 + 168*r**3 - 73*r. Factor a(w).
2*w*(w - 252)*(3*w - 2)
Let q(z) be the third derivative of 5*z**8/1008 - 16*z**7/63 - 407*z**6/72 - 101*z**5/6 + 355*z**4/2 - 420*z**3 - 2752*z**2. Let q(f) = 0. Calculate f.
-6, 1, 42
Let w(y) be the second derivative of 13/3*y**3 + 1/70*y**5 - 507/7*y**2 - 3 + 23/42*y**4 - 8*y. Determine d so that w(d) = 0.
-13, 3
Let i(j) = 3*j + 19. Let g be i(6). Let m = g - 33. Factor -m + 4*o**4 - 10*o**3 + o**4 + 10*o - 1.
5*(o - 1)**3*(o + 1)
Suppose 2*o + 18 = 6*o - 2*n, 0 = n + 1. Factor 4*i**2 - i - 44*i**o + 45*i**4 + 75*i**3 - 79*i**3 + i.
i**2*(i - 2)**2
Let x be 5 + -1 - (-241 - 5). Suppose 4*j**3 - 64*j**2 + 4*j**3 + x*j - 4*j**3 + 6*j = 0. What is j?
0, 8
Suppose -48/5 - 112/5*r - 19*r**2 - 7/5*r**4 - 1/10*r**5 - 15/2*r**3 = 0. Calculate r.
-4, -3, -2, -1
Let i(z) be the first derivative of 3*z**4/4 + 180*z**3 + 1566*z**2 + 9561. Find d, given that i(d) = 0.
-174, -6, 0
Let m be 3 - (0 - (-68)/(-176)) - (-3 - 1015/(-385)). Determine b, given that -5*b - m*b**2 + 0 + 35/4*b**3 = 0.
-4/7, 0, 1
Let q(h) be the third derivative of 38 + 0*h + 10/3*h**3 - 2*h**2 + 5/8*h**4 - 1/12*h**5. Determine n so that q(n) = 0.
-1, 4
Let p(l) = -l**4 - 67*l**3 + 209*l**2 - 9*l - 279. Let b(g) = g**2 + 5*g - 1. Let c(u) = -3*b(u) - 3*p(u). Factor c(z).
3*(z - 2)**2*(z + 1)*(z + 70)
Let p(y) = 70*y**3 + 3163*y**2 + 893*y. Let b(r) = -35*r**3 - 1582*r**2 - 447*r. Let o(w) = -7*b(w) - 3*p(w). Factor o(d).
5*d*(d + 45)*(7*d + 2)
Factor -102*i + 38*i**3 + 181*i + 89*i + i**4 - 6*i**4 - 152*i**2 + 3*i**4.
-2*i*(i - 14)*(i - 3)*(i - 2)
Let h = -3 + 9. Let d(o) = -16*o**2 + 184*o - 237. Let q be d(10). Find s such that -26*s + h - 15/2*s**q + 61/2*s**2 = 0.
2/5, 2/3, 3
Let z(j) = -7*j**2 + 108*j + 10. Let g(b) = -15*b**2 + 193*b + 18. Let f(u) = 3*g(u) - 5*z(u). Factor f(n).
-(n - 4)*(10*n + 1)
Find x such that 1/9*x**2 + 0 - 1117/9*x = 0.
0, 1117
Let o(w) = 10*w**2 - 422*w. Let l(i) = -13*i**2 + 423*i. Let a(y) = -4*l(y) - 5*o(y). Factor a(z).
2*z*(z + 209)
Let v(w) be the second derivative of -149*w**5 + 8945*w**4/12 + 11905*w**3/6 - 10*w**2 - 1897*w. Solve v(x) = 0.
-1, 1/596, 4
Factor 1/2*w**2 + 62001/2 - 249*w.
(w - 249)**2/2
Let k(m) be the second derivative of -m**4/3 - 126*m**3 + 380*m**2 + 286*m - 2. Suppose k(n) = 0. What is n?
-190, 1
Solve -346/9*p + 76/3 - 74/3*p**2 - 2/3*p**4 + 346/9*p**3 = 0 for p.
-1, 2/3, 1, 57
Let y = -374 - -376. Find u such that 1098*u - 497*u - 3*u**y - 529*u + 75 = 0.
-1, 25
Let y(p) be the first derivative of -p**2 + 1/3*p**3 + 114 + p. Find a, given that y(a) = 0.
1
Determine t, given that 0 - 5*t + 155/6*t**4 - 305/6*t**3 + 205/6*t**2 - 25/6*t**5 = 0.
0, 1/5, 1, 2, 3
Let p = -10 + 10. Suppose -3*o + 5 + 1 = p. Factor -4*m**o + 3 + 5 - 4*m - m**2 + m**2.
-4*(m - 1)*(m + 2)
Let u be (-2 - 290/25)*5. Let z = u - -71. Determine o so that -10*o - 2*o**3 - 2*o**z + 0*o - 6*o - 20*o**2 = 0.
-4, -1, 0
Suppose 2/3*p**3 + 214/3*p - 170/3 - 46/3*p**2 = 0. What is p?
1, 5, 17
Factor -843*c + 1560*c**4 - 338*c**5 + 960*c**2 - 2216*c**3 + 393*c + 322*c.
-2*c*(c - 2)**2*(13*c - 4)**2
Let j = 5129/6908 + 13/1727. Factor -j*z**2 - 27 - 9*z.
-3*(z + 6)**2/4
Let o(s) be the first derivative 