 + u + 4, 3 = y. Solve p*d - 1/3*d**4 + 0 + 0*d**2 + 1/3*d**5 + 0*d**3 = 0.
0, 1
Let k(h) be the first derivative of -h**3 - 9423*h**2 - 29597643*h - 13362. Find r such that k(r) = 0.
-3141
Let x(z) be the second derivative of -z**6/15 + 6*z**5/5 + 7*z**4 + 44*z**3/3 + 15*z**2 - 135*z - 7. Factor x(p).
-2*(p - 15)*(p + 1)**3
Let k(o) = -34*o**5 + 111*o**4 - 1038*o**3 + 29*o + 29. Let x(j) = 7*j**5 - 22*j**4 + 208*j**3 - 6*j - 6. Let w(c) = 6*k(c) + 29*x(c). Factor w(y).
-y**3*(y - 14)**2
Let c(x) be the third derivative of -2*x**7/105 + 23*x**6/30 - 41*x**5/15 - 23*x**4/6 + 28*x**3 + 7*x**2 + 137*x. Solve c(w) = 0.
-1, 1, 2, 21
Let f(t) be the second derivative of t**2 + 2/9*t**3 + 2/63*t**7 - 1/3*t**4 - 68 - 2/15*t**5 - t + 1/15*t**6. Determine d, given that f(d) = 0.
-3/2, -1, 1
Let c be (23 - 31)*(-8)/(-288)*-6. Let -16/9*u**4 + c*u**2 + 4/9 + 20/9*u**3 - 20/9*u = 0. Calculate u.
-1, 1/4, 1
Let k(y) be the third derivative of y**7/1260 + y**6/240 - y**5/9 + 61*y**2 + 2. Factor k(n).
n**2*(n - 5)*(n + 8)/6
Suppose -w - 2*w = -4*h - 3203, 3*h = -15. Let r = w - 2001/2. Factor -r - 9/2*l**2 + 33*l.
-(3*l - 11)**2/2
Let m = -412 - -428. Suppose -m*c - 4*f + 36 = -12*c, -c + 5*f - 15 = 0. Determine t so that 2/9*t**c + 4/9*t**2 + 0*t**4 - 4/9 - 8/9*t**3 + 2/3*t = 0.
-2, -1, 1
Let v(t) = 13*t**3 - 189*t**2 + 165*t + 22. Let q(z) = -7*z**3 + 95*z**2 - 82*z - 12. Let b(f) = -11*q(f) - 6*v(f). Find p such that b(p) = 0.
0, 1, 88
Suppose 5*f + 28 = -3*d, 3*d = 5*f + 46 + 6. Let q be 10/4*(-6)/(-35). Suppose 0*w + q*w**d - 12/7*w**5 + 0 - 3/7*w**2 + 12/7*w**3 = 0. Calculate w.
-1, 0, 1/4, 1
Let k(u) be the second derivative of 3*u**5/40 + u**4/4 - 15*u**3/4 - 14*u - 324. Factor k(g).
3*g*(g - 3)*(g + 5)/2
Suppose 49 = -4*t + 5*o + 176, -4*o + 4 = 0. Suppose 35*y = t*y + 10. Let -11*z**4 - 19*z**4 + z**2 + 3*z**3 - 7*z**2 + 26*z**3 + 7*z**y = 0. Calculate z.
0, 2/7, 1, 3
Let z(b) be the first derivative of b**3/7 - 1146*b**2/7 + 437772*b/7 - 202. Let z(v) = 0. What is v?
382
Let p be 3*8/4 - 2. Suppose -p*f + 2 = -3*f. What is d in 47*d**f + 245 - 25*d**2 - 17*d**2 - 70*d = 0?
7
Let p(t) be the first derivative of -138 - 4/11*t - 1/22*t**2 + 1/11*t**3. Solve p(j) = 0.
-1, 4/3
Find m, given that 144*m - 3*m**3 + 3400*m**2 + 276 - 1609*m**2 - 1926*m**2 = 0.
-46, -1, 2
Let u be (-11)/11 + 11/1 + (-48)/(42/7). Factor 20/3 - 11/3*i - 8/3*i**u - 1/3*i**3.
-(i - 1)*(i + 4)*(i + 5)/3
Suppose 1132/3 - 1/3*d**2 + 188*d = 0. Calculate d.
-2, 566
Let o be (21 - 6)*36/(-30). Let w be o/(-13)*1/3. Let -2/13*l**2 + 4/13*l + w = 0. Calculate l.
-1, 3
Suppose 0 = 4*m + 7*q - 3*q + 1452, -25 = 5*q. Let x = m - -362. Solve 0*v + 1/4*v**3 - 5/8*v**x + 0 + 0*v**2 - 7/8*v**5 = 0 for v.
-1, 0, 2/7
Let o = -193058 + 1351442/7. Factor 0 + 0*z + 120/7*z**3 + o*z**2 - 3*z**4.
-3*z**2*(z - 6)*(7*z + 2)/7
Suppose -31 = -4*l + 5*b, 3*l - 33 = 5*b - 6. Suppose -28 + 36 = l*k. Factor -3/8 + 1/4*t + 1/8*t**k.
(t - 1)*(t + 3)/8
Let g(p) be the third derivative of -p**7/1260 - 19*p**6/360 + p**5/3 + p**4/4 - 17*p**2 + p. Let k(a) be the second derivative of g(a). Factor k(v).
-2*(v - 1)*(v + 20)
Let z(a) be the second derivative of a**4 - 2024*a**3/3 + 674*a**2 - 1828*a. Find q such that z(q) = 0.
1/3, 337
Let x(w) = -w**2 + 17*w - 28. Let y be x(15). Suppose 167 - 69*p**y + 265 + 47*p + 313*p + 3*p**3 = 0. Calculate p.
-1, 12
Suppose 3*v - 3*p - 96 = 0, 0*v - 5*v + 130 = p. Suppose v*r + 120 = 31*r. Factor -7*u**5 - 40*u**2 + 24*u**5 - r*u**4 + 60*u**3 - 12*u**5.
5*u**2*(u - 2)**3
Let y(m) = 52*m - 136. Let p be y(-10). Let c = 4600/7 + p. Determine f, given that -c + 10/7*f**2 - 6/7*f**3 + 8/7*f = 0.
-1, 2/3, 2
Let c(f) be the third derivative of f**6/1080 - f**5/80 + f**4/36 - 77*f**3/6 + 13*f**2 - 2*f. Let u(i) be the first derivative of c(i). What is y in u(y) = 0?
1/2, 4
Determine c, given that -1/8*c**4 + 67/8*c**2 + 15/2 - 5/4*c**3 - 29/2*c = 0.
-15, 1, 2
Let b(q) be the third derivative of -1/2*q**4 + 0 - 11*q + 1/60*q**5 + 6*q**3 - 2*q**2. Determine o so that b(o) = 0.
6
Let d(j) be the first derivative of -j**5 + 13325*j**4/4 - 8871115*j**3/3 - 8884445*j**2/2 + 11259. Let d(u) = 0. What is u?
-1, 0, 1333
Solve 2*g + 42 - 12*g**3 - 1/2*g**4 - 63/2*g**2 = 0.
-21, -2, 1
Let w(r) = 4*r**3 + 40*r**2 - 2*r - 17. Let t be w(-10). Let m(l) be the second derivative of -1/32*l**4 + 1/16*l**t + 0*l**2 - 9*l + 0. Factor m(c).
-3*c*(c - 1)/8
Let w be (-12)/15 + 28/10. Solve 362*d**5 - d**2 + d**3 + d**4 - 179*d**5 + 0*d**w - 184*d**5 = 0.
-1, 0, 1
Let b(v) = -v**3 - 3*v**2 - 5*v - 1. Let f be b(-5). Suppose 3*x - 61 = f. Factor -10*g**2 + 58 - 35*g**4 + x*g**3 - 58.
-5*g**2*(g - 1)*(7*g - 2)
Let c(j) = 7*j**3 + 25*j**2 + 102*j + 84. Let x(d) = -3*d**3 - 2*d**2 + d. Let o(r) = 3*c(r) + 6*x(r). Factor o(a).
3*(a + 1)*(a + 6)*(a + 14)
Suppose 66*d + 12 = 69*d - b, -4 = -d + 4*b. Let s be ((-48)/64)/((-5)/d). Let 0 + 3/5*w**2 + 0*w - s*w**4 - 1/5*w**5 + 1/5*w**3 = 0. Calculate w.
-3, -1, 0, 1
Factor 122/5*b - 104 + 2/5*b**2.
2*(b - 4)*(b + 65)/5
Let n(l) be the first derivative of 1/40*l**5 - 1/8*l**3 + 117 + 0*l + 0*l**2 - 1/16*l**4. Let n(f) = 0. What is f?
-1, 0, 3
Suppose -13*j + 12*j = -30. Factor -29*r**3 - 4*r**2 + j*r**3 + 14*r - 5*r**2.
r*(r - 7)*(r - 2)
Suppose 0 = 3*s - 7*s + 64. Suppose -54*m + 62*m = s. Solve -3/7*h - 1/7*h**3 - 1/7 - 3/7*h**m = 0.
-1
Suppose 270*r = 264*r + 12. Suppose -596*a**3 + 155 + 7 - 7*a**5 - 153*a**4 + 603*a + 35*a**2 + 25*a**4 - 69*a**r = 0. Calculate a.
-9, -1, -2/7, 1
Find c, given that 126/5*c**3 - 264*c**2 - 3/5*c**4 - 126/5*c + 1323/5 = 0.
-1, 1, 21
Let d = -9271 - -9275. Let r(w) be the first derivative of 2*w**d + 144*w**2 - 24*w**3 + 19 - 1/15*w**5 - 432*w. Factor r(z).
-(z - 6)**4/3
Let m(n) be the first derivative of 75/2*n**2 + 0*n - 45 + 5/4*n**4 - 80/3*n**3. Factor m(b).
5*b*(b - 15)*(b - 1)
Let k = 951 + -673. Let v = -278 + k. Solve -15/2*z**3 - 9/2*z**4 + v + 6*z**2 + 6*z = 0 for z.
-2, -2/3, 0, 1
Let q(h) be the second derivative of -h**4/8 - 279*h**3/2 - 233523*h**2/4 - 998*h. Factor q(p).
-3*(p + 279)**2/2
Let i be -1 - -9*365/(-15). Let k be i/605 + 74/22. Factor -1/3*l + 2/3 + 4/3*l**k - 8/3*l**2.
(l - 2)*(2*l - 1)*(2*l + 1)/3
Let u(m) be the third derivative of -m**7/945 - 13*m**6/270 + 124*m**5/135 + 95*m**4/18 + 11*m**3 + 2*m**2 - 2934. Solve u(p) = 0.
-33, -1, 9
Suppose -2*g = 3*g - 3*v + 15, 5*g = 4*v - 20. Let a be (-1)/((-6)/((-24)/44) - ((-31)/(-2) + -1)). Factor g - 12/7*h + a*h**2.
2*h*(h - 6)/7
Let p = 551557 - 551555. Suppose -208/7*x**p - 136/7*x**3 - 12/7*x**4 + 256/7 + 4/7*x**5 + 96/7*x = 0. Calculate x.
-2, 1, 8
Let v(i) = -6*i**3 + 58*i**2 + 414*i + 648. Let l(n) = -8*n**3 + 57*n**2 + 414*n + 648. Let r(k) = 2*l(k) - 3*v(k). Find j, given that r(j) = 0.
-3, 36
Let k(p) be the second derivative of 1/5*p**5 - 2/3*p**3 + 2*p - 8*p**2 + 4/3*p**4 + 27. Determine j, given that k(j) = 0.
-4, -1, 1
Suppose -2*m + 5*v + 8 + 11 = 0, -2*m - 4*v = 8. Let 15*x + 12 - 61*x**2 + 15*x**4 - 18*x + 3*x**3 + 34*x**m = 0. What is x?
-1, 4/5, 1
Let b(n) be the first derivative of n**4/12 - 92*n**3/3 + 182*n**2 - 1088*n/3 - 2580. Factor b(r).
(r - 272)*(r - 2)**2/3
Let j(o) be the third derivative of -o**5/30 + 59*o**4/30 + 16*o**3/5 + 1759*o**2. Factor j(c).
-2*(c - 24)*(5*c + 2)/5
Factor -4/3*f**3 + 52/3 + 20*f**2 - 36*f.
-4*(f - 13)*(f - 1)**2/3
Let f(b) be the first derivative of -5*b**9/3024 + b**8/112 + b**7/42 - 18*b**3 - 41. Let q(m) be the third derivative of f(m). Factor q(d).
-5*d**3*(d - 4)*(d + 1)
Let x(k) be the third derivative of k**10/907200 + k**9/90720 + k**8/40320 + 2*k**5/15 + 7*k**2 + 3. Let v(r) be the third derivative of x(r). Factor v(b).
b**2*(b + 1)*(b + 3)/6
Suppose 5*m - m - 8 = 0. Suppose -2*c - 3*d - 12 = 0, 0 = -c + m*d - 3*d - 4. Determine a so that c + 2/9*a**5 - 2/9*a**4 + 0*a + 0*a**2 + 0*a**3 = 0.
0, 1
Suppose -96 = -116*n + 92*n. Factor -13*y + 18*y**4 - 9*y**2 - 6*y**n + 31*y - 6*y**3 + 30*y - 27*y**3 + 12.
3*(y - 2)**2*(y + 1)*(4*y + 1)
Let x(w) be the third derivative of -1/150*w**6 + w**2 + 0*w + 1/30*w**4 - 4 + 1/525*w**7 + 0*w**3 - 1/150*w**5. Suppose x(j) = 0. What is j?
-1, 0, 1, 2
Solve 124/3*o**2 + 42*o**3 + 2/3*o**4 + 0*o + 0 = 0 for o.
-62, -1, 0
Let s(c) = 58*c**3 - 5826*c**2 - 1170