)*(l + 1)*(l + 2)
Let a be 6/(35/25 + (4 - 5)). Factor -17*h**2 + a*h**2 - 5*h + 3*h + 4.
-2*(h - 1)*(h + 2)
Let p(y) be the first derivative of -17/18*y**3 - 83 + 1/6*y**2 + 5/8*y**4 + 0*y. Factor p(s).
s*(s - 1)*(15*s - 2)/6
Let r(q) be the third derivative of 225/4*q**3 + 0 - 15/8*q**4 - 2*q + 17*q**2 + 1/40*q**5. Factor r(a).
3*(a - 15)**2/2
Let a(l) = -6*l**5 - 107*l**4 - 179*l**3 + 82*l**2 + 180*l + 5. Let w(f) = -f**5 - 3*f**4 - 2*f**2 + 1. Let y(q) = 3*a(q) - 15*w(q). Solve y(t) = 0 for t.
-90, -2, -1, 0, 1
Let z(c) be the second derivative of 5/12*c**4 + 4 - 7*c + 40/3*c**3 + 160*c**2. Factor z(w).
5*(w + 8)**2
Let w(o) = 5*o + 132. Let y be (-8)/2 + -35 + 13. Let g be w(y). Let 2/3*z + 1/6*z**3 + 0 - 2/3*z**g = 0. Calculate z.
0, 2
Suppose 1120/11*r + 592/11*r**2 + 0 + 86/11*r**3 + 2/11*r**4 = 0. What is r?
-35, -4, 0
Let p(q) be the second derivative of -q**5/70 + 5*q**4/21 - 9*q**3/7 + 18*q**2/7 + 1563*q. Factor p(h).
-2*(h - 6)*(h - 3)*(h - 1)/7
Let m(g) be the second derivative of 1/4*g**4 - 1/20*g**5 + 6*g**2 + 136*g + 0 + 8/3*g**3. Suppose m(z) = 0. Calculate z.
-2, -1, 6
Let -147*y - 1/3*y**2 - 878/3 = 0. What is y?
-439, -2
Let r(f) be the third derivative of 7/48*f**4 - f**2 + 0*f**3 + 1/240*f**5 + 0 + 0*f. Determine d so that r(d) = 0.
-14, 0
Let b be -4 - (-8 - (-5 - -3)). Factor -250 + 5*y**2 + 258 + 2*y**2 - 3*y**b - 12*y.
4*(y - 2)*(y - 1)
Let q(r) be the third derivative of -r**5/60 + 7*r**4/24 - r**3 + 17*r**2 - 46. Factor q(y).
-(y - 6)*(y - 1)
Let w = -43877 - -43880. Factor -8/3 + 24*p + 196/3*p**w - 70*p**2.
2*(2*p - 1)*(7*p - 2)**2/3
Let f(k) be the third derivative of -5*k**7/42 - 439*k**6/12 - 523*k**5/12 + 875*k**4/12 - 2564*k**2. Find b, given that f(b) = 0.
-175, -1, 0, 2/5
Let j(b) = -209*b + 630. Let w be j(3). Let q(v) be the first derivative of 0*v - 4/9*v**w - 1/12*v**4 - 2/3*v**2 - 13. Factor q(s).
-s*(s + 2)**2/3
Let h(q) be the second derivative of -157*q + 11/12*q**3 - 21/8*q**2 + 0 - 1/48*q**4. Factor h(r).
-(r - 21)*(r - 1)/4
Determine y so that 4*y**2 - 32/3*y**3 + 4*y**4 + 8/3*y + 0 = 0.
-1/3, 0, 1, 2
Let k(u) be the second derivative of -9*u**7/14 - 13*u**6/2 + 1821*u**5/20 - 915*u**4/4 - 117*u**3 - 6067*u. Determine o, given that k(o) = 0.
-13, -2/9, 0, 3
Let z(k) = k**3 + 39*k**2 - 9*k - 31. Let m = 0 - -1. Let p(q) = q**3 - q**2 + q - 1. Let c = 251 + -247. Let v(n) = c*p(n) + m*z(n). Factor v(a).
5*(a - 1)*(a + 1)*(a + 7)
Factor -81*u + 754529 - 30*u**2 - 754529 - u**3.
-u*(u + 3)*(u + 27)
Suppose -4*s + 29 = -9*s + g, -5*s - 4*g = 34. Let x be 6/(-6 - -24) + 2/s. Factor 4/11*v**3 + 2/11*v**4 + 0 + 2/11*v**2 + x*v.
2*v**2*(v + 1)**2/11
Factor -10*f**2 + 12*f**2 + 6*f**2 + 17 - 148*f - 17.
4*f*(2*f - 37)
Let a(d) be the second derivative of d**6/2340 - d**5/39 + d**3/3 + 2*d**2 - 205*d. Let r(u) be the second derivative of a(u). Factor r(l).
2*l*(l - 20)/13
Factor 2*y - 2*y - 9*y**3 + 0*y**3 + 21*y**3 + 15*y**5 - 36*y**4.
3*y**3*(y - 2)*(5*y - 2)
Let p(k) be the third derivative of -k**8/504 + k**7/63 + k**6/60 - 13*k**5/90 - 5*k**4/18 - 35*k**2 - 1. What is j in p(j) = 0?
-1, 0, 2, 5
Let z(n) = 7 - 1102*n**2 + 2206*n**2 - 1108*n**2. Let c(r) = 6*r**2 - 2*r - 8. Let u(w) = -3*c(w) - 4*z(w). Factor u(m).
-2*(m - 2)*(m - 1)
Let s be 13 + 9/(-3) + -1745. Let t = s + 1743. Factor -20/3*w - t + 4/3*w**2.
4*(w - 6)*(w + 1)/3
Factor -8*x - 2/3*x**2 - 40/3.
-2*(x + 2)*(x + 10)/3
Let n(v) = -129*v - 770. Let g(t) = -4*t + 222. Let o be g(57). Let u be n(o). Factor 0*d - 2*d**3 - 12/13*d**2 - 16/13*d**u - 2/13*d**5 + 0.
-2*d**2*(d + 1)**2*(d + 6)/13
Let b(c) be the first derivative of c**7/1470 - c**6/420 + c**5/420 - 21*c**2/2 - 19. Let s(w) be the second derivative of b(w). Find k such that s(k) = 0.
0, 1
Let t be (8/14)/(6/21). Find n such that 116*n - 29*n - 18*n**t - 54 - 12*n - 3*n**3 = 0.
-9, 1, 2
Let m be (-6)/60*0/21. Let s(k) be the third derivative of 0*k**3 - 36*k**2 + 1/70*k**7 + 0 + m*k - 1/4*k**4 - 1/20*k**5 + 1/20*k**6. Find x such that s(x) = 0.
-2, -1, 0, 1
Let y(a) be the first derivative of -1/6*a**4 - 4/9*a**3 + 1 + 13/3*a**2 - 20/3*a. Factor y(r).
-2*(r - 2)*(r - 1)*(r + 5)/3
Factor 0 - 3/2*k**3 + 705/2*k + 351*k**2.
-3*k*(k - 235)*(k + 1)/2
Let s(a) be the first derivative of -4*a**3/15 + 56*a**2/5 + 512*a/5 + 3877. Let s(m) = 0. What is m?
-4, 32
Let j(b) = 8*b**2 - 138*b - 888. Let l be j(-5). What is w in 0 + 16/7*w**l + w**3 + 4/7*w = 0?
-2, -2/7, 0
Suppose 3*m + o - 146 - 337 = 0, -5*o = 15. Let d be 4/6 + 702/m + -2. Let 0 + 3/4*l**2 + 0*l + 1/4*l**d = 0. Calculate l.
-3, 0
Let s be 6/(-114) - 1369/(-12654). Let c(g) be the first derivative of -1/2*g**2 - 15 - s*g**3 + 0*g. Factor c(n).
-n*(n + 6)/6
Suppose 8*k - 2*k = -4*n - 34, 5*n + 11 = -3*k. Let v(g) be the second derivative of -14*g + 1/3*g**3 - 2*g**n + 0 + 1/6*g**4. Suppose v(p) = 0. Calculate p.
-2, 1
Let m(j) = 3*j**4 + 3*j**3 + j**2. Let s(v) = -20*v**4 - 786*v**3 - 3056*v**2 - 3804*v - 1520. Let q(o) = -6*m(o) - s(o). Find y, given that q(y) = 0.
-380, -2, -1
Let v(q) = q**2 - 6*q - 53. Let o = 466 + -455. Let b be v(o). What is p in 0 - 2/5*p**b + 2/15*p**4 + 0*p**3 + 4/15*p = 0?
-2, 0, 1
Factor -48*z**3 - 144*z**2 + 45*z**3 - 130*z + 864*z - 275*z.
-3*z*(z - 3)*(z + 51)
Let x(t) = -3*t**3 + 18*t**2 + 5*t + 2. Suppose 7*y + 2*y = 0. Let v(k) = k**2 + k + k**3 - 2*k + y*k**3. Let p(q) = 6*v(q) - x(q). Factor p(b).
(b - 2)*(3*b + 1)**2
Factor 31*k - 13*k - 6728 - 42*k - 208*k - 2*k**2.
-2*(k + 58)**2
Factor 9*x**4 + 294*x**3 - 103*x**4 + 47*x + 632256*x**2 + 53*x - 632554*x**2 - 2*x**5.
-2*x*(x - 1)**3*(x + 50)
Let m(p) = -3*p**3 + 25*p**2 - 8*p + 2. Let x be m(8). Suppose r = a + 15, 46 = 5*r - x*a - 14. Factor -21*j**4 + 19*j**4 + r*j**2 + 6*j + 8*j**3 - 6*j**3.
-2*j*(j - 3)*(j + 1)**2
Let b(f) = 31*f**2 - 31 + 4*f + f**3 + f**2 - 16*f**2 - 42*f. Let s be b(-18). Determine l so that 0 + 0*l**2 - 10/3*l**s + 4/3*l**3 + 0*l + 2*l**4 = 0.
-2/5, 0, 1
Let q be (-64 - -65)/((-26)/(-117)). Factor 19/2*c**2 + 0 + q*c + 1/2*c**4 + 11/2*c**3.
c*(c + 1)**2*(c + 9)/2
What is z in 4830*z - 403 + 4788 - 163 + 5*z**2 + 5418 = 0?
-964, -2
Suppose 39620/3*z**3 + 7040/3*z - 640/3 - 26920/3*z**2 - 15190/3*z**4 + 1715/3*z**5 = 0. Calculate z.
2/7, 4
Let t(d) be the third derivative of -d**6/540 - 13*d**5/45 - 595*d**4/36 - 12716*d**3/27 + 3*d**2 - 1154*d. Factor t(m).
-2*(m + 17)**2*(m + 44)/9
Let a(m) = m**2 + 10*m + 3. Let d(y) be the second derivative of 5*y**3/3 + y**2 + 62*y. Let z(c) = 4*a(c) - 6*d(c). Factor z(u).
4*u*(u - 5)
Suppose 1664*u**2 - 13624614 + 2417043 - 16230*u - 1669*u**2 - 1963074 = 0. What is u?
-1623
Let j = -322487 - -4192347/13. Solve 2/13*v**3 - 12/13 - j*v**2 + 2*v = 0 for v.
1, 6
Let n(m) be the second derivative of -1/36*m**4 - 1/36*m**3 + 1/6*m**2 + 1/120*m**5 + 102*m + 0. Determine a, given that n(a) = 0.
-1, 1, 2
Let -16/9*a**3 - 26/9*a**2 + 8 + 64/9*a + 2/9*a**4 = 0. Calculate a.
-2, -1, 2, 9
Let z = 28393 + -28391. Determine f, given that -2/5*f**3 + 0 + 2/5*f**5 - 2/5*f**4 + 0*f + 2/5*f**z = 0.
-1, 0, 1
Suppose -3*s + 3 = -5*o, 2*s - 2 = o - 0*s. Suppose o = -59*w + 54*w + 20. Factor 7*u**3 + u**3 + 7*u**3 - 14*u**3 + w*u**2.
u**2*(u + 4)
Let s(j) = -j**3 - 5*j**2 - 4*j + 2. Let b be s(-4). Let r be 180/63*(-42)/(-18). Determine q so that -40/3 + 35/6*q**b - 5/6*q**3 - r*q = 0.
-1, 4
Suppose 0 = 3*s + 4*d + 9 - 95, -3*s = -2*d - 110. Find u such that 634*u**4 + 11 + 10*u + 64*u**5 - 90*u**4 + s*u + 17 + 676*u**3 - 208*u + 4*u**2 = 0.
-7, -1, 1/4
Let x(h) be the first derivative of -2*h**3/15 - 129*h**2/5 + 52*h + 1498. Factor x(w).
-2*(w - 1)*(w + 130)/5
Let v(i) be the third derivative of -i**5/135 + 140*i**4/27 - 1112*i**3/27 + 92*i**2 + 7. Factor v(q).
-4*(q - 278)*(q - 2)/9
Let o(k) be the third derivative of -k**5/330 - 1273*k**4/132 - 2542*k**3/33 + k**2 + 7339*k. Factor o(n).
-2*(n + 2)*(n + 1271)/11
Suppose 28*h = -5*g + 23*h + 5, -h - 1 = 0. Let p(c) be the second derivative of 1/3*c**4 + 14*c - g*c**2 + 0*c**3 + 0. Let p(r) = 0. Calculate r.
-1, 1
Let h(s) be the second derivative of -s**6/10 - 7*s**5/5 - 15*s**4/2 - 18*s**3 - 27*s**2/2 + 1568*s. Factor h(t).
-(t + 3)**3*(3*t + 1)
Let c(k) = 19*k**3 - 379*k**2 + 2021*k - 2957. Let a(p) = 9*p**3 - 189*p**2 + 1011*p - 1479. Let v(y