culate r.
-80, -1
Factor -33087*p**5 - 4 + 4 + 0 + 551*p**4 - 1099*p**3 + 549*p**2 + 33086*p**5.
-p**2*(p - 549)*(p - 1)**2
Let c = -30797367/56273 + -6/8039. Let y = c - -549. Suppose 0 - 16/7*o + 24/7*o**2 + 2/7*o**4 - y*o**3 = 0. What is o?
0, 2
Suppose -3*n + 4*o - 35 = -6*n, 15 = 4*n - o. Suppose 10*l - 25 = n. Factor -24 + 210*s**2 + 17*s - 214*s**2 + l*s.
-4*(s - 3)*(s - 2)
Let o(y) be the third derivative of y**9/40320 + y**8/2688 - y**7/560 + 59*y**5/60 - 12*y**2. Let f(h) be the third derivative of o(h). Factor f(n).
3*n*(n - 1)*(n + 6)/2
Let h(n) be the first derivative of -5*n**4/4 - 1255*n**3/3 - 40300*n**2 - 230640*n - 3129. Solve h(q) = 0.
-124, -3
Factor -30*u**3 + 0 - 8/3*u**4 + 0*u + 0*u**2 + 2/3*u**5.
2*u**3*(u - 9)*(u + 5)/3
Let d(c) be the second derivative of 3*c**5/20 + 37*c**4/36 + 8*c**3/3 + 10*c**2/3 + 1923*c. Find j, given that d(j) = 0.
-2, -10/9, -1
Let s be (0 + (-5)/90)/((-5)/(75/10)). Let d(i) be the second derivative of 3/80*i**5 - s*i**4 + 0 + 1/4*i**2 - 1/24*i**3 + 29*i. Factor d(t).
(t - 1)**2*(3*t + 2)/4
Let p be (-13 + 9)*(-422 + 0). Let q = p - 1685. Factor 2/9 - 1/3*g + 1/9*g**q + 0*g**2.
(g - 1)**2*(g + 2)/9
Let y(m) be the second derivative of m**5/130 + 10*m**4/39 + 92*m**3/39 + 112*m**2/13 - 493*m. Factor y(v).
2*(v + 2)*(v + 4)*(v + 14)/13
Let v(u) = u**4 + u**3 + u**2 - u. Let b(f) = 5*f**5 + 10*f**4 - 925*f**3 + 430*f**2 + 3440*f - 3080. Let s(a) = b(a) + 60*v(a). Solve s(d) = 0.
-22, -2, 1, 2, 7
Let u(w) = -5*w + 4. Let y be u(0). Suppose l - 6 = y*l. Let q(b) = 8*b**2 + 2*b - 6. Let j(n) = -n**2 + 1. Let r(k) = l*q(k) - 12*j(k). Factor r(t).
-4*t*(t + 1)
Let p be (-18264)/(-360) + 4/(-10). Let v = -449/9 + p. Factor 0*q**4 - 8/9*q**3 + 4/9*q**2 + 2/3*q - v + 2/9*q**5.
2*(q - 1)**3*(q + 1)*(q + 2)/9
Let o(q) be the first derivative of 3/2*q**4 - 16/7*q + 2/21*q**3 - 18/7*q**2 + 2/5*q**5 - 276 - 1/7*q**6. Suppose o(w) = 0. What is w?
-1, -2/3, 1, 4
Let o(k) = -10*k**3 - 2112*k**2 - 1411752*k - 322828847. Let q(t) = t**3 + 6*t**2 - 4*t - 1. Let i(h) = -o(h) - 9*q(h). Factor i(z).
(z + 686)**3
What is a in 64/3*a**4 + 206/3*a - 208/3*a**3 + 2/3*a**5 + 76/3*a**2 - 140/3 = 0?
-35, -1, 1, 2
Factor 1667 - 618*r**2 - 772*r - 4*r**3 + 218*r**2 - 491.
-4*(r - 1)*(r + 3)*(r + 98)
Let s be (12/10)/((2 + 1)/90). Let l = s + -21. Find d such that -d**5 + 13*d**2 + d + 2*d**4 - l*d**2 + 0*d**4 = 0.
-1, 0, 1
Find u, given that -2/5*u**5 + 262/5*u**2 - 22/5*u**4 + 28*u + 102/5*u**3 + 0 = 0.
-14, -1, 0, 5
Let s be (18/(-50))/(44 - (-554540)/(-12600)). Solve s + 87/5*c + 3/5*c**2 = 0.
-27, -2
Let r(h) = h**2 + 131*h - 3. Let b(s) = -s**2 - 130*s + 4. Let g(x) = 3*b(x) + 4*r(x). What is n in g(n) = 0?
-134, 0
Let n(r) = -r**4 - 32*r**3 - 92*r**2 - 80*r + 4. Let m(j) = j**4 + 2*j**3 + 2*j**2 + 1. Let i(g) = 4*m(g) - n(g). What is s in i(s) = 0?
-4, -2, 0
Let m(o) = -98*o**2 - 200*o - 153. Let d(s) = -99*s**2 - 201*s - 122. Let t(a) = -5*d(a) + 4*m(a). Factor t(v).
(v + 2)*(103*v - 1)
Let c(q) be the second derivative of 4*q**5/75 - q**4/12 - q**3/5 - 65*q**2/2 - 2*q - 69. Let u(v) be the first derivative of c(v). Solve u(i) = 0.
-3/8, 1
Suppose -329*a + 250 = -408. Let f(n) be the third derivative of -1/24*n**4 + 0 + 0*n + 1/210*n**7 + 1/20*n**5 - 1/40*n**6 + 27*n**a + 0*n**3. Factor f(h).
h*(h - 1)**3
Solve -48/5 - 98/5*c - 2/5*c**3 - 52/5*c**2 = 0 for c.
-24, -1
Let q(l) be the first derivative of l**3/9 + 409*l**2/6 + 136*l - 8744. Factor q(w).
(w + 1)*(w + 408)/3
Let x(i) be the second derivative of -i**4/20 - i**3 + 225*i**2/2 - 2924*i. What is s in x(s) = 0?
-25, 15
Let z be (-4 - (-20)/(-30)) + (-35)/(105/(-18)). Let -z - 2/9*d + 2/9*d**2 = 0. Calculate d.
-2, 3
Let b(i) be the third derivative of -3 + 1/16*i**3 + 1/160*i**5 + 0*i - 23*i**2 + 1/32*i**4. Factor b(n).
3*(n + 1)**2/8
Suppose -182 - 243 = -25*t. Suppose -19*m = -t*m. Suppose -2/3*a**2 + 0*a + m + 2/3*a**3 = 0. What is a?
0, 1
Suppose 5*r + r - 12 = 0. Let f be (2/3)/(15/45). Let -24*k - 23*k**r - 25*k**f - 3 + 3*k**2 - 3*k**2 = 0. What is k?
-1/4
Let t = -123 - -101. Let s be ((-4)/(-35))/(t/7 - -4). Factor -2/15*g**2 - 2/5*g**4 + 0*g + 0 - 2/5*g**3 - s*g**5.
-2*g**2*(g + 1)**3/15
Let l = -42212/55 + 8526/11. Determine j so that 8 + l*j - 2/5*j**2 = 0.
-1, 20
Let x(g) = -1461*g - 13146. Let c be x(-9). Find o, given that -4*o**4 + 14/5*o**c - 8/5*o + 6/5*o**5 + 8/5*o**2 + 0 = 0.
-2/3, 0, 1, 2
Let p = -34072/1359 - 308/151. Let b = 247/9 + p. Determine y, given that 5/3*y**2 - b*y + 1/3*y**3 - 5/3 = 0.
-5, -1, 1
Let p = 982 - 986. Let i be 72/(-81)*1/p. Solve 2/9*o**5 - 2/3*o**3 + 2/9*o**2 + 4/9*o + 0 - i*o**4 = 0.
-1, 0, 1, 2
Let v be 5/(-7) - (-2)/(-7). Let w(q) = -4*q - 5 - 9*q + 0*q**2 + 8*q - 1 + q**2. Let c(o) = o + 1. Let m(n) = v*w(n) - 5*c(n). Factor m(f).
-(f - 1)*(f + 1)
Suppose 3*y - 49 = -43, 0 = 2*r + 2*y - 4. Let a(m) be the first derivative of -3*m**4 + r*m**2 + 0*m - 23 - 2/5*m**5 - 10/3*m**3. Factor a(z).
-2*z**2*(z + 1)*(z + 5)
Let s = -74831/27 - -2772. Let h(v) be the second derivative of -4/9*v**3 - s*v**4 + 0*v**2 + 8*v + 0 + 1/9*v**5. What is i in h(i) = 0?
-2/5, 0, 3
Let p(c) be the first derivative of 93/2*c**2 - 81 + 2883/2*c + 1/2*c**3. Factor p(q).
3*(q + 31)**2/2
Let p = -7279 - -7282. Let d(z) be the first derivative of -1/2*z**4 - 2*z**p - 3*z**2 - 2*z + 3. Factor d(g).
-2*(g + 1)**3
Suppose j + 4*c = 2*c + 56, -5*j + 5*c = -340. Determine h, given that -500 + 1662*h + j*h**3 - 5*h**2 - 4*h**4 - 355*h**2 - 862*h = 0.
1, 5
Let o(c) be the third derivative of 0*c + 1/2*c**4 + 6*c**2 + 19/60*c**5 - 7/180*c**6 + 0 + 7/3*c**3. Let b(g) be the first derivative of o(g). Factor b(f).
-2*(f - 3)*(7*f + 2)
Find v, given that 1144*v - 274988*v**2 - 1936 + 6*v**3 + 274896*v**2 - 4*v**3 = 0.
2, 22
Let h = -905 + 907. Let d be (20/(-75))/(h/(-3))*2. What is v in 4/5*v**3 - 1/5*v**4 - 6/5*v**2 - 1/5 + d*v = 0?
1
Suppose 0 = 253*p - 255*p - 4. Let a(z) = -7*z - 10. Let q be a(p). Factor -q*r**2 - 9/2*r - 1/2.
-(r + 1)*(8*r + 1)/2
Factor -256/9 - 490/9*u**3 - 1088/9*u - 1316/9*u**2.
-2*(5*u + 2)*(7*u + 8)**2/9
Let i = 35260 - 105778/3. Factor i*l**5 - 20/3*l**2 + 14*l + 2*l**4 - 6 - 4*l**3.
2*(l - 1)**3*(l + 3)**2/3
What is v in -126/5*v + 2/5*v**2 - 536/5 = 0?
-4, 67
Let z(q) be the first derivative of -25*q**6/6 + 23*q**5 + 325*q**4/4 - 715*q**3/3 + 60*q**2 + 180*q - 354. Determine u, given that z(u) = 0.
-3, -2/5, 1, 6
Let b(k) be the first derivative of 10*k**3/9 + 731*k**2/2 - 439*k/3 + 6752. Suppose b(z) = 0. What is z?
-439/2, 1/5
Let z = -150 + 154. Factor 0 - 4*c**z + 0 - 96*c**2 + 35*c**3 + 64*c + c**3.
-4*c*(c - 4)**2*(c - 1)
Suppose c = -90*y + 88*y + 15, 2*y - 12 = 0. Let n(d) be the first derivative of 2/5*d**2 + 4/3*d**c - 27 + 0*d. Let n(a) = 0. What is a?
-1/5, 0
Suppose -15611*l - 24 = -4*n - 15615*l, 2*l + 12 = 4*n. Find z, given that -n*z + 8/5*z**3 - 8/5 - 4/5*z**2 = 0.
-1, -1/2, 2
Let s(m) be the first derivative of -m**5/120 + m**4/24 - m**3/12 + m**2/2 + 12*m - 110. Let f(c) be the second derivative of s(c). Factor f(r).
-(r - 1)**2/2
Let b(w) be the second derivative of -w**6/2340 + w**5/78 - 3*w**4/52 - 49*w**3/6 - 14*w - 1. Let a(d) be the second derivative of b(d). Factor a(z).
-2*(z - 9)*(z - 1)/13
Find g such that -320/13*g**2 - 646/13*g - 324/13 + 2/13*g**3 = 0.
-1, 162
Suppose 0 = 4*a + 5*y - 184, -36*a + 736 = 760*y - 761*y. Factor a + 1/3*c**2 + 1/3*c**3 - 11*c.
(c - 3)**2*(c + 7)/3
Let o(k) be the second derivative of -50*k**2 - 46*k + 1 + 65/2*k**3 + 5/6*k**4. Factor o(x).
5*(x + 20)*(2*x - 1)
Let p(w) be the second derivative of 4/5*w**2 + 1/30*w**4 - 3*w + 6 - 1/3*w**3. Let p(f) = 0. Calculate f.
1, 4
Suppose -2*t = -3*t. Suppose t = 5*k + c - 17, 2*k = -3*c - 4 + 16. Find n such that 182 - n**4 - n**k - 174 + 12*n - 2*n**3 + 2*n**2 = 0.
-2, -1, 2
Let l be ((-141)/2632*-7)/3. Factor 0 + 0*d**2 + 1/8*d**3 - l*d.
d*(d - 1)*(d + 1)/8
Factor 156*d + 165*d**2 + d**4 + 43*d**3 - 14269 + 14269 - 5*d**2.
d*(d + 2)**2*(d + 39)
Let i(y) = -y**3 + 2*y**2 + y. Let f be ((-15)/6)/(-1*(-4)/(-8)). Let o(r) = 14*r**3 + 14*r**2 - 50*r + 12. Let u(t) = f*i(t) + o(t). Factor u(z).
3*(z - 1)*(z + 4)*(3*z - 1)
Let k(h) = 2*h - 2. Let q be k(1). Suppose q = x - g - 5, 6 - 13 = -5*x - 4*g. Factor -8*i - 13*i**2 + 