)**3/13
Solve 195*p - 3/4*p**3 + 0 + 96*p**2 = 0.
-2, 0, 130
Let x be (6/(-4))/(-23 - -38). Let v = x - -37/70. Suppose v*s - 3/7*s**2 + 6/7 = 0. What is s?
-1, 2
Suppose 0 = 36*t - 26*t + 50*t - 180. Let z(v) = -v + 10. Let l be z(6). Factor -l*d**5 - d**t - 3*d**4 - d**5 + 6*d**5 + 3*d**2.
d**2*(d - 3)*(d - 1)*(d + 1)
Let n(d) be the second derivative of 1 + 7/4*d**4 - 2*d + 18*d**2 - 3/20*d**5 - 8*d**3. Factor n(h).
-3*(h - 3)*(h - 2)**2
Let j(r) = -20*r + 15. Let t(o) be the second derivative of -o**4/12 - 2*o**3/3 + 7*o. Let b be t(1). Let v(h) = h**2. Let f(k) = b*v(k) - j(k). Factor f(x).
-5*(x - 3)*(x - 1)
Let p(t) be the first derivative of -t**6/12 + 11*t**5/25 + 291*t**4/20 - 128*t**3/15 - 577*t**2/20 + 117*t/5 - 2219. Find d such that p(d) = 0.
-9, -1, 2/5, 1, 13
Let z(i) be the third derivative of -i**7/210 + i**6/90 - 83*i**3/3 + 153*i**2. Let u(d) be the first derivative of z(d). What is r in u(r) = 0?
0, 1
Let u(v) be the first derivative of 2*v**5/15 + 13*v**4/3 - 102*v**3 + 612*v**2 - 936*v + 2331. Suppose u(l) = 0. What is l?
-39, 1, 6
Let h be 18225/(-10) + 9/(-18). Let j = 1827 + h. Let 0*z**2 - 4/7*z**5 + 8/7*z**3 + 0 + 4/7*z**j + 0*z = 0. Calculate z.
-1, 0, 2
Let y be 2*(8/(-2)*-1 + -2). Factor -v**2 + 4*v + 4*v**2 - y*v**4 - 3*v**3 - v**5 + v**2.
-v*(v - 1)*(v + 1)*(v + 2)**2
Let z(m) be the first derivative of -m**4/2 - 22*m**3 + m**2 + 66*m - 7690. Factor z(c).
-2*(c - 1)*(c + 1)*(c + 33)
Let b(o) be the first derivative of -o**3 - 600*o**2 - 1197*o + 1195. Factor b(n).
-3*(n + 1)*(n + 399)
Let z(l) be the second derivative of -9*l**2 - l**3 - 44*l - 1/10*l**5 + 0 + 5/6*l**4. Factor z(s).
-2*(s - 3)**2*(s + 1)
Suppose 5*h = 5*a - 670, 0*h - 3*h - a = 406. Let p = 210 + h. Let -11*s - s + 416*s**2 - p*s**3 - 476*s**2 = 0. Calculate s.
-2/5, 0
Let 118/7*n**3 - 174/7*n**2 + 195/7*n**4 - 3 + 9/7*n**5 - 127/7*n = 0. What is n?
-21, -1, -1/3, 1
Let i(y) be the third derivative of -y**8/448 + 3*y**6/80 - y**5/10 + 3*y**4/32 - 868*y**2. Factor i(w).
-3*w*(w - 1)**3*(w + 3)/4
Suppose -43*r + 40*r = -b + 9, -4*b - 3*r - 9 = 0. Let j(z) be the first derivative of -1/14*z**4 + 2/7*z**3 + 0*z**2 + b*z - 20. Suppose j(o) = 0. Calculate o.
0, 3
Factor -4/7*p**2 + 10768/7*p - 7246864/7.
-4*(p - 1346)**2/7
Solve -27*p**2 - 1420*p**4 + 4*p**3 + 4*p**3 + 2834*p**4 - 1415*p**4 - 4*p + 4*p**3 + 36 = 0.
-1, 2, 9
Suppose 568*r = 570*r. Suppose -3*l = l - 8. Find m, given that r*m**2 - 6*m - 9*m**2 + l*m**4 + m**4 + 0*m = 0.
-1, 0, 2
Find a, given that 46/5*a**4 - 1/5*a**5 + 92/5*a - 28*a**2 + 3/5*a**3 + 0 = 0.
-2, 0, 1, 46
Let f = 391 + -388. Factor 6*r**2 - 2*r**2 + r**4 - f*r**2 + r**2 - 3*r**2.
r**2*(r - 1)*(r + 1)
Let i(n) be the third derivative of n**8/672 - n**7/84 - n**6/80 + 41*n**5/120 - 29*n**4/24 + 2*n**3 - 3242*n**2. Let i(g) = 0. What is g?
-3, 1, 2, 4
Let k(z) be the second derivative of z**7/21 - z**6/15 - z**5/10 + z**4/6 - 1144*z. Suppose k(q) = 0. What is q?
-1, 0, 1
Let l(j) be the first derivative of j**3/27 + 11*j**2/9 - 25*j/3 - 1321. Factor l(f).
(f - 3)*(f + 25)/9
Find z, given that -88*z**3 + 26*z**3 + 31*z**3 - 188*z**2 - 48 - 191*z + 35*z**3 = 0.
-1/2, 48
Let f(k) be the third derivative of -k**5/15 + 2*k**4 - 22*k**3/3 - 344*k**2. Suppose f(q) = 0. Calculate q.
1, 11
Suppose 4*y - 21 = -5*a - 51, y + 2*a + 6 = 0. Let w be (y/25)/(21/(-30)). Factor -12/7 - 4/7*m**3 + 12/7*m**2 + w*m.
-4*(m - 3)*(m - 1)*(m + 1)/7
Let x(c) be the third derivative of 179*c**5/25 + 538*c**4/15 + 8*c**3/15 + 35*c**2. Factor x(q).
4*(q + 2)*(537*q + 2)/5
Let h(l) = l + 4. Let s be h(-2). Let k be 0 - (s - 6 - 0). Factor k*z**2 + z - z.
4*z**2
Factor 1/3*m**3 - 608/3*m - 26/3*m**2 - 896.
(m - 42)*(m + 8)**2/3
Suppose -3*k + 0*k + 21 = 5*j, 5*j = -4*k + 23. Let y be 4/6 + ((-48)/(-18))/k. Factor 15*s - 6 - 96*s**y + 5*s**3 + 1 + 81*s**2.
5*(s - 1)**3
Let 38/7*q**2 + 192/7*q + 288/7 + 2/7*q**3 = 0. What is q?
-12, -4, -3
Let d = -348 - -354. Suppose 0 = -d*l + 11 + 7. Factor -4/3*m - 2/3*m**4 + 0 - 8/3*m**l - 10/3*m**2.
-2*m*(m + 1)**2*(m + 2)/3
Let b(l) be the second derivative of 0*l**2 + 3/2*l**3 - l - 1/40*l**5 - 30 - 17/24*l**4. Factor b(p).
-p*(p - 1)*(p + 18)/2
Let w be 1080/300*10/6. Let r be -1*0/(w - 11). Factor 4/3*n + 16/9*n**2 + r + 4/9*n**3.
4*n*(n + 1)*(n + 3)/9
Let j(o) = -21*o + 19*o - 9 + 2. Let y be j(-5). Factor -56 + 28 - y*v + 31 + v - v**2.
-(v - 1)*(v + 3)
Let 3/7*q**4 + 12*q**3 + 1104/7 + 279/7*q**2 - 210*q = 0. What is q?
-23, -8, 1, 2
Let o(k) be the first derivative of k**2 - 2/21*k**3 + 191 - 12/7*k. Find n such that o(n) = 0.
1, 6
Suppose -5*n**4 - 11*n**4 + 12*n**3 + 7070*n**2 - 3335*n**2 + 80 + 384*n - 3475*n**2 = 0. What is n?
-2, -1/4, 5
Let a(k) be the first derivative of 800/7*k - 40/7*k**2 + 115 + 2/21*k**3. Factor a(b).
2*(b - 20)**2/7
Suppose -5*k - 3*n = -37, 2*k + 9*n - 388 = -303. Let 18/5 + 23/5*z**k - 39/5*z - 1/5*z**3 - 1/5*z**4 = 0. Calculate z.
-6, 1, 3
Let o(c) = -707*c - 16966. Let r be o(-24). Suppose 15 = 4*d + d. Factor -3/2*j**r + d*j - 3/2.
-3*(j - 1)**2/2
What is c in 1004*c - 28*c**2 - 1292*c - 4*c**4 + 0*c**4 + 576 + 32*c**3 = 0?
-3, 3, 4
Let a(o) = -32*o**2 + 428*o + 948. Let v(f) = 13*f**2 - 171*f - 379. Let z = 523 + -511. Let g(r) = z*v(r) + 5*a(r). Determine m, given that g(m) = 0.
-2, 24
Let a = 62 + -59. What is y in -9*y**3 + 5*y + 12*y**a - 17*y = 0?
-2, 0, 2
Let y = -58/75 - -479/600. Let h(r) be the second derivative of -1/12*r**3 + 0*r**4 + 0 + y*r**5 - 19*r + 0*r**2. Factor h(z).
z*(z - 1)*(z + 1)/2
Let x(d) be the first derivative of -40*d**6/3 + 576*d**5 - 10030*d**4 + 265880*d**3/3 - 810645*d**2/2 + 835210*d + 374. Let x(l) = 0. What is l?
2, 17/2
Factor -1/11*n**2 - 70756/11 + 532/11*n.
-(n - 266)**2/11
Let x(m) be the third derivative of m**8/1680 + m**7/525 - 9*m**6/200 + 9*m**4/10 - 4*m**2 + 1046*m. Factor x(h).
h*(h - 3)**2*(h + 2)*(h + 6)/5
Suppose r + 2*w = -30, 48*w - 43*w + 70 = -5*r. Determine n, given that 1/5*n**3 + r*n - 7/5*n**2 + 0 = 0.
0, 2, 5
Factor 40*b + 3*b**2 + 38 + b + 37*b + 48*b + 202.
3*(b + 2)*(b + 40)
Let h(v) be the third derivative of v**5/30 + 97*v**4/6 - 1896*v**2. Factor h(y).
2*y*(y + 194)
Let c(y) be the third derivative of 1/540*y**6 + 236*y**2 + 0*y - 5/54*y**4 + 1/270*y**5 + 8/27*y**3 + 0. Factor c(u).
2*(u - 2)*(u - 1)*(u + 4)/9
Let s(w) be the first derivative of w**3 - 6942*w**2 + 16063788*w + 3887. Factor s(z).
3*(z - 2314)**2
Let x(u) be the first derivative of -2*u**5/45 + 5*u**4/18 + 8*u**3/9 - 76*u**2/9 + 160*u/9 + 36. Find p, given that x(p) = 0.
-4, 2, 5
Let a = 172977/10 + -86451/5. Factor 3/2*k**3 + 17/2*k + a*k**2 + 3 - 1/2*k**4.
-(k - 6)*(k + 1)**3/2
Let a(i) = 2*i**2 - 3429*i + 5. Let z(d) = -3*d**2 + 5140*d - 7. Let v(m) = 7*a(m) + 5*z(m). Factor v(y).
-y*(y - 1697)
Let o = -395 - -395. Let z(c) be the second derivative of 5/12*c**4 + 10*c**2 + 10/3*c**3 + o - 7*c. Determine p so that z(p) = 0.
-2
Let b(t) be the first derivative of t**4/30 + 7*t**3/15 + 6*t**2/5 - 29*t + 20. Let c(u) be the first derivative of b(u). Factor c(m).
2*(m + 1)*(m + 6)/5
Let f(u) be the second derivative of -u**6/40 + 213*u**5/80 - 195*u**4/2 + 2475*u**3/2 - 1623*u. What is g in f(g) = 0?
0, 11, 30
Let c(u) = -4*u**4 + 42*u**3 - 58*u**2 - 272*u - 158. Let i(o) = 12*o**4 - 125*o**3 + 173*o**2 + 818*o + 473. Let m(z) = -7*c(z) - 2*i(z). Factor m(k).
4*(k - 8)*(k - 5)*(k + 1)**2
Factor 3*h**4 + 8*h**5 + 19*h**4 - 20*h**3 - 85*h**4 + 27*h**4.
4*h**3*(h - 5)*(2*h + 1)
Let b(t) be the first derivative of 0*t + 11/10*t**4 - 36/5*t**2 - 8/5*t**3 + 4/25*t**5 - 223 - 1/15*t**6. Suppose b(p) = 0. Calculate p.
-2, 0, 3
Suppose 26 = -249*p + 524. Let r(d) be the second derivative of 0 - 7/24*d**4 - 29*d - 5/24*d**5 + 1/6*d**p - 1/20*d**6 - 1/12*d**3. Factor r(c).
-(c + 1)**3*(9*c - 2)/6
Let n(x) be the first derivative of x**3/12 + 107*x**2/2 - 215*x + 1115. Factor n(z).
(z - 2)*(z + 430)/4
Let n(f) be the third derivative of 0*f + 0*f**3 - 8/105*f**5 - 8/105*f**6 - 3 - 2*f**2 - 1/42*f**4. Factor n(q).
-4*q*(4*q + 1)**2/7
Let i = -17 + 19. Factor 4*z**i + 36*z + 4*z**3 - 11*z**4 - 38*z + 9*z**4 - 2*z**5 - 2.
-2*(z - 1)**2*(z + 1)**3
Let q(b) = 10*b**3 + 1240*b**2 + 1224*b - 12. Let t(n) = 59*n**3 + 7440*n**2 + 7346*n - 70. Let m(l) = -35*q(l) 