 derivative of p**6/720 + p**5/6 - 31*p**4/36 - 59*p**2 + 5. Factor x(n).
n*(n - 2)*(n + 62)/6
Suppose -21 = 5*u + 4. Let t(w) = -2*w**2 - 14*w - 16. Let g be t(u). Determine x so that 115*x**2 - 3*x**g - 11*x**4 + 25*x + 35*x**3 - 30 - 11*x**4 = 0.
-1, 2/5, 3
Let i = -74 - -71. Let g(u) = u**2. Let z(t) = t**3 - 4*t**2 - 9*t + 9. Let y(c) = i*g(c) - z(c). Find o, given that y(o) = 0.
-3, 1, 3
Let z be -3*(-33 + 0/2). Factor 10*s - 1 + 6 - 94*s**2 + z*s**2.
5*(s + 1)**2
Let q(t) be the first derivative of -2*t**3/21 - 1044*t**2/7 - 544968*t/7 - 1349. Factor q(l).
-2*(l + 522)**2/7
Let j(o) be the third derivative of -o**6/120 - 2*o**5 - 871*o**4/8 + 31423*o**3/3 - o**2 + 4*o + 3. Suppose j(r) = 0. Calculate r.
-67, 14
Let z = 33396 - 33392. Let r(n) be the third derivative of 13/210*n**5 + 0*n + 38*n**2 + 0 + 1/105*n**6 - 13/84*n**z - 4/21*n**3. Let r(p) = 0. Calculate p.
-4, -1/4, 1
Let t = -212/287 + 3431/1148. Suppose -5*q + 3 = -7. Let 1/8*d**5 - 243/8*d - 27/4*d**q + 9/8*d**4 - 243/8 + t*d**3 = 0. Calculate d.
-3, 3
Suppose 15*m - 6 = -139*b + 136*b, -2*b = 2*m - 4. Suppose -46/3 + 136/9*q + 2/9*q**b = 0. What is q?
-69, 1
Let g(f) = 39*f**4 - 708*f**3 - 686*f**2 + 700*f + 691. Let l(h) = 67*h**4 - 1414*h**3 - 1373*h**2 + 1400*h + 1383. Let r(q) = 7*g(q) - 4*l(q). Factor r(j).
5*(j - 1)*(j + 1)**2*(j + 139)
Let q(s) be the second derivative of 13*s**4/102 - 216*s**3/17 - 100*s**2/17 + 3036*s. Solve q(h) = 0.
-2/13, 50
Let c be (-594)/(-5148) - 2235/(-910). Solve c - 12/7*w + 2/7*w**2 = 0.
3
Determine s, given that 27*s**3 + 227*s**2 - 143*s**2 - 6*s**4 - 21*s**5 - 36*s - 36*s**4 - 12*s**4 = 0.
-2, 0, 3/7, 1
Let q(z) be the third derivative of -z**5/100 + 2*z**4/15 - 2*z**3/3 + z**2 - 127. Factor q(y).
-(y - 2)*(3*y - 10)/5
Let r = 31758 + -31756. Let g(m) be the first derivative of -1/7*m**3 - 31 + 3*m + 9/7*m**r. Suppose g(x) = 0. What is x?
-1, 7
Let f(c) = c**4 + c**3 - 3*c**2 - 2*c + 2. Let n(r) = 6*r**4 + 78*r**3 - 90*r**2 - 82*r + 84. Let d(p) = 4*f(p) - n(p). What is m in d(m) = 0?
-38, -1, 1
Let g(o) be the third derivative of o**6/1080 + o**5/60 - 59*o**4/36 - 368*o**3/27 - 2*o**2 - 8442. Factor g(m).
(m - 16)*(m + 2)*(m + 23)/9
Let r(j) be the second derivative of -26/15*j**2 + 1/90*j**4 - 32 + 5/9*j**3 - j. Factor r(x).
2*(x - 1)*(x + 26)/15
Suppose 978 = 5*r - 197. Factor -500 + 245 + 12*g + r - g**2.
-(g - 10)*(g - 2)
Let f(d) be the second derivative of d**7/21 + 119*d**6/120 - 23*d**5/80 - 119*d**4/48 + 5*d**3/8 - 2*d + 826. Determine h, given that f(h) = 0.
-15, -1, 0, 1/8, 1
Let h = 26 + -27. Let u(r) = -5*r + 0*r + 9*r - 5*r + 1 - r**3. Let a(s) = 8*s**3 - 8*s + 4. Let n(y) = h*a(y) - 4*u(y). Let n(w) = 0. What is w?
-2, 1
Suppose 0 = -7*r + 10*r - 3, -3*j + 49 = -5*r. Suppose 4*d = 5*v + 28, -3*v + j - 36 = -3*d. Let 0*y**d + 4/3*y**4 - 4/3*y**5 + 0*y**3 + 0*y + 0 = 0. What is y?
0, 1
Factor 259/2*a**2 + 16641/2 + 1/2*a**3 + 16899/2*a.
(a + 1)*(a + 129)**2/2
Let u(y) be the second derivative of 7*y**6/24 + 53*y**5/4 - 535*y**4/12 + 40*y**3 + 68*y**2 - 103*y. Let v(k) be the first derivative of u(k). Factor v(c).
5*(c - 1)*(c + 24)*(7*c - 2)
Let n(w) = w**2 - 10*w + 2. Let o be n(10). Suppose o*c = 8*c - 12. Let 4 + 2 + 3*v**2 - 5 - 2*v**c - 2*v = 0. What is v?
1
Suppose -2 = 9*t - 10*t. Let x be 3/(-12) - (-9)/4. Solve 6*y**3 + x*y**4 + 2*y**2 - 4*y**t - 98*y**5 + 96*y**5 - 4*y = 0.
-1, 0, 1, 2
Let g(m) be the first derivative of 1/8*m**4 - 99 - 1/4*m**2 + 1/3*m**3 - m. Find y such that g(y) = 0.
-2, -1, 1
Let h(j) = j**2 - 5*j + 10. Let f be h(3). Factor -1 + 76*u + 12*u**2 - 4 - 5 + 8*u**3 - 84*u - 2*u**f.
-2*(u - 5)*(u - 1)*(u + 1)**2
Let u(i) be the third derivative of i**6/40 - 25*i**4/2 - 1119*i**2 - 2*i. Suppose u(z) = 0. Calculate z.
-10, 0, 10
Let z = -451 + 633. Let m be 518/z + (-2)/(-13). Solve 0 + 1/4*r**4 - r**m - 1/2*r + 5/4*r**2 = 0 for r.
0, 1, 2
Let t(n) be the third derivative of 1/60*n**6 + 16/9*n**3 + 52*n**2 + 7/6*n**4 + 0*n + 0 + 29/90*n**5. Factor t(z).
2*(z + 1)*(z + 8)*(3*z + 2)/3
Factor -2/7*r**2 + 570/7 + 104/7*r.
-2*(r - 57)*(r + 5)/7
Suppose 914 - 920 = -2*g. Solve 24 - 20*r**g + 29*r**2 - 48*r**2 - 13*r**2 + 28*r = 0.
-2, -3/5, 1
Let j = 166237/3 - 56410. Let p = 998 + j. What is d in 1/6*d**5 + 1/3*d**4 + 0 + 0*d**3 - p*d**2 - 1/6*d = 0?
-1, 0, 1
Let m(d) be the second derivative of d**8/15680 + 3*d**7/980 + 27*d**6/560 + d**4/2 - d**3/3 - 11*d. Let i(p) be the third derivative of m(p). Factor i(g).
3*g*(g + 9)**2/7
Let x = 2300 - 126498/55. Let r(b) be the first derivative of 7 + x*b**5 - 4/33*b**3 + 0*b + 0*b**2 - 1/22*b**4. Factor r(y).
2*y**2*(y - 2)*(y + 1)/11
Let s(g) be the first derivative of -1/6*g**3 - g**2 + 0*g + 4. Solve s(t) = 0 for t.
-4, 0
Let i(k) = 964*k**2 - 3*k - 2. Let q be i(2). Solve 21*j**4 + 1940*j**3 - q*j**3 + 9*j**2 - 6*j + 1944*j**3 = 0 for j.
-1, 0, 2/7
Let k = 2463863/7 - 351980. Factor k*b**3 + 18/7 - 3*b + 0*b**2.
3*(b - 2)*(b - 1)*(b + 3)/7
Suppose -5/4*g**5 + 32*g**4 + 97*g + 44 - 383/4*g**3 - 76*g**2 = 0. What is g?
-1, -2/5, 1, 4, 22
Solve 2378/5*h - 10092/5 + 2/5*h**3 - 128/5*h**2 = 0 for h.
6, 29
Factor 51944292 + 339*y**2 + 1/6*y**3 + 229842*y.
(y + 678)**3/6
Let r = -25 - -23. Let n be 15 + -11 - (r - -4)/(-2). Factor 4*c**5 + 10*c**3 + 2*c**n - 5*c - 11*c**5.
-5*c*(c - 1)**2*(c + 1)**2
Let z(g) be the third derivative of -g**5/390 + 445*g**4/26 - 594075*g**3/13 - 5*g**2 + 113*g. Factor z(r).
-2*(r - 1335)**2/13
Let f(m) = -8*m**3 - 7*m**2 + 79*m - 101. Let v(l) = l**3 - l**2 + l + 1. Suppose 25 = 5*t + 2*g, -4*t - g + 2*g = -20. Let u(d) = t*v(d) + f(d). Factor u(h).
-3*(h - 2)**2*(h + 8)
Let s be 2/((-66)/99 + 196/96). Let -24/11*a**2 - s*a + 6/11*a**4 + 20/11*a**3 + 0 - 4/11*a**5 = 0. Calculate a.
-2, -1/2, 0, 2
Let w(u) = -4*u**3 + 3*u**4 + 9 - 11*u + 0*u**3 - 3397*u**2 + 3395*u**2. Let s(z) = 2*z**4 - 3*z**3 - z**2 - 6*z + 5. Let g(t) = 5*s(t) - 3*w(t). Factor g(p).
(p - 2)*(p - 1)**2*(p + 1)
Let f = 2/12631 + 88413/25262. Let t(k) be the second derivative of -9/10*k**5 + 12*k - f*k**4 - 3*k**2 + 17/3*k**3 + 0. Solve t(u) = 0.
-3, 1/3
Factor -70*p - 125*p**2 + 20*p**4 - 8*p**5 + 95/2*p**3 + 196.
-(p - 2)**3*(4*p + 7)**2/2
Let d(x) be the first derivative of -1/12*x**3 + 0*x**2 + 1/48*x**4 - 18 + 21*x. Let w(v) be the first derivative of d(v). Determine p so that w(p) = 0.
0, 2
Let o(c) be the third derivative of -c**8/1680 - 89*c**7/1260 - 29*c**6/90 - 29*c**5/30 - 16*c**2. Let n(b) be the third derivative of o(b). Solve n(v) = 0.
-29, -2/3
Let j(u) be the second derivative of 7/3*u**3 + 1/12*u**4 + 33/2*u**2 + 5 + 11*u. Solve j(t) = 0.
-11, -3
Find v, given that 12097*v**2 - 39967500*v - 4209*v**2 + 48627125000 + 3062*v**2 - v**3 = 0.
3650
Suppose 3*j = -3*i + 9, -5 = -3*i - 0*j + j. Factor 2*y**i + 38*y - 6*y**2 - 24*y - 22*y.
-4*y*(y + 2)
Suppose 0 = 5*s - 4*q - 48, -3*s + 195 - 219 = 2*q. Let 2*g**4 + 5206/7*g**2 + 1444/7*g + 536/7*g**3 + s = 0. What is g?
-19, -2/7, 0
Let z(r) = r**2 + 2. Let y(n) be the first derivative of -n**4/4 - 5*n**3/3 + 6*n**2 - 12*n + 162. Let h(p) = y(p) + 6*z(p). Let h(a) = 0. Calculate a.
-3, 0, 4
Let b(y) be the second derivative of -y**5/75 - y**4/30 + 4*y**3/5 + 6*y**2 + 43*y. Let z(o) be the first derivative of b(o). Factor z(s).
-4*(s - 2)*(s + 3)/5
Let x(l) be the second derivative of -4*l + 10/9*l**4 + 1/189*l**7 + 4/45*l**6 + 0*l**2 + 23/45*l**5 + 12 + 25/27*l**3. Factor x(d).
2*d*(d + 1)**2*(d + 5)**2/9
Let s = 254 + -250. Let l(t) = -3*t**3 + 19*t**2 - 16*t - 4. Let d(n) = 6*n**3 - 39*n**2 + 33*n + 9. Let a(p) = s*d(p) + 9*l(p). Suppose a(f) = 0. What is f?
0, 1, 4
Suppose 28 + 7 = 7*n. Suppose n*f - 15 - 5 = 0. Find u, given that -9*u**3 + 3*u + 0*u**4 + 6*u - 3*u**2 + 3*u**f = 0.
-1, 0, 1, 3
Let i be (47640/(-67887))/(6/(-57)). Factor 6*w**3 - 7/3*w**4 + 1/3*w**5 + 0 - i*w**2 + 8/3*w.
w*(w - 2)**3*(w - 1)/3
Determine n, given that 85/2 + 345/2*n - 65/2*n**2 - 345/2*n**3 - 10*n**4 = 0.
-17, -1, -1/4, 1
Find h such that -3*h - 36/5 + 2/5*h**2 + 1/5*h**3 = 0.
-3, 4
Suppose -19 = 184*v - 185*v. Factor 7*a**2 - v*a**2 + 9*a**2 + 13*a - 56 - 65*a + 7*a**2.
4*(a - 14)*(a + 1)
Let s be 4 + -197 - 90/15. Let u = 199 + s. Factor -2/9*w + 2/9*w**4 + u + 2/9*w**3 - 2/9*w**2.
2*w*(w - 1)*(w + 1)**2/9
Suppo