
-3*q**3*(q - 3)/4
Let o(f) be the first derivative of -2*f**3/9 - 644*f**2 - 622104*f + 1610. Factor o(l).
-2*(l + 966)**2/3
Let u(r) be the second derivative of r**7/21 - 19*r**6/15 - 9*r**5/2 + 55*r**4/6 + 164*r**3/3 + 84*r**2 + 941*r. Let u(h) = 0. What is h?
-2, -1, 2, 21
Suppose c + 3 = 0, 0 = -3*n + 7*n - 3*c - 29. Suppose n*p = 19*p - 70. Let -4/13 + 10/13*l - 8/13*l**3 - 2/13*l**p + 8/13*l**4 - 4/13*l**2 = 0. What is l?
-1, 1, 2
Suppose -4*u - 5*w - 38 = 0, 0*u - 42 = 3*u - 3*w. Let v be ((-8)/u)/(((-1)/(-3))/1). Factor -10*i**v + 11*i - 16*i + 1 + 10*i - 5*i**3 + 9.
-5*(i - 1)*(i + 1)*(i + 2)
Let x(l) = l**3 + 4*l**2 - 3*l + 13. Let k be x(-5). Factor 39*z**2 - 7*z**2 + 10*z**2 + 20*z**k - 81*z - 28 + 68 - 21*z**3.
-(z - 40)*(z - 1)**2
Let s(b) be the first derivative of -b**6/6 + 3*b**5/2 - 15*b**4/4 + 47*b + 44. Let g(o) be the first derivative of s(o). Suppose g(r) = 0. What is r?
0, 3
Let v(a) = -a**2 - 3*a. Let y(x) = -7*x - 2. Let k be y(0). Let b be v(k). Suppose 1/2*l**3 + 5/2 - 1/2*l - 5/2*l**b = 0. Calculate l.
-1, 1, 5
Let h = 580 + -580. Let n(d) be the third derivative of 2/15*d**6 + 0 + 0*d**3 - 12*d**2 + 1/15*d**5 + 0*d**4 + h*d. Factor n(r).
4*r**2*(4*r + 1)
Let s(p) = 3*p**4 - 134*p**3 - 1125*p**2 + 6262*p + 15. Let q(b) = -2*b**4 + 70*b**3 + 563*b**2 - 3130*b - 9. Let l(v) = 5*q(v) + 3*s(v). Factor l(w).
-w*(w - 4)*(w + 28)**2
Let w = 4554 - 9077/2. Let k(c) be the first derivative of 6*c + 25 + 9/4*c**4 + 16/3*c**3 - w*c**2. Solve k(f) = 0 for f.
-3, 2/9, 1
Let n(w) = -345*w + 15. Let d be n(-1). Let g = d + -1078/3. Find o such that g*o - 2/3*o**3 - 4/3*o**2 + 4/3 = 0.
-2, -1, 1
Let q(a) = 3*a**3 + 11*a**2 + 124*a + 517. Let w be q(-4). Let v(s) be the second derivative of -3/40*s**w - 2*s**3 + 0 + 25*s + 3*s**2 + 5/8*s**4. Factor v(j).
-3*(j - 2)**2*(j - 1)/2
Let c(j) be the second derivative of -5*j**7/672 - j**6/144 - j**5/480 - 3*j**3 + j**2/2 - 230*j. Let s(y) be the second derivative of c(y). Factor s(r).
-r*(5*r + 1)**2/4
Let l(z) be the third derivative of 0*z - 14/15*z**5 - 1/84*z**8 - 4/21*z**7 + 0*z**3 + 0 + 256*z**2 + 0*z**4 - 23/30*z**6. Suppose l(t) = 0. What is t?
-7, -2, -1, 0
Suppose -11*p = -61 - 25 + 53. Let y(h) be the first derivative of -147/8*h**2 + 4 - 1/16*h**4 - 7/4*h**p - 343/4*h. Factor y(s).
-(s + 7)**3/4
Suppose -5*k + 29 = -4*b, 0 = 4*k - 2*b + 5 - 27. Suppose -4*z - 10 = -k*q, -2*q + 9*z + 4 = 13*z. Find h such that 5/4 - 5/4*h**q + 0*h = 0.
-1, 1
Suppose -257 = -10*h - 47. Let i be 14/h + (-182)/(-6). Factor 20*v**2 - 4*v**4 - 7*v - i*v**4 + 12*v - v + 11*v**3.
-v*(v - 1)*(5*v + 2)*(7*v + 2)
Let r(o) be the first derivative of o**3/30 - 626*o**2/5 + 783752*o/5 - 3310. Find s such that r(s) = 0.
1252
Let h be 70/(-105)*(4 - (7 + (-10)/20)). Factor 1/3*r**3 + 0 + h*r**4 - 7*r**2 - 6*r + 1/3*r**5.
r*(r - 2)*(r + 1)*(r + 3)**2/3
Suppose 2*u - 2*l + 0 - 2 = 0, -3*u - 2*l = -28. Let n be u/(-20)*2*(45 - 70). Determine k, given that -68*k**2 - 5*k - n*k + 63*k**2 - 15 = 0.
-3, -1
Let w = -275542/423 + 6980/47. Let z = 504 + w. Solve 4/9*n**3 - 4/3*n**5 + 0 + 0*n + 2/9*n**2 - z*n**4 = 0 for n.
-1, -1/3, 0, 1/2
Let -20/7 + 76*k - 313/7*k**2 + 26/7*k**3 = 0. What is k?
1/26, 2, 10
Factor 27*h**2 - 72*h**3 - 44*h + 151*h**3 - 80*h**3 - 672.
-(h - 24)*(h - 7)*(h + 4)
Suppose -9*w - 1188 + 837 = -126*w. Factor 0 - 9/2*l**w + 21/2*l**2 - 11/2*l - 1/2*l**4.
-l*(l - 1)**2*(l + 11)/2
Suppose -403*t + 123*t**2 - 5*t**4 + 268*t + 38*t**2 + 4*t**2 - 19*t**3 - 6*t**3 = 0. Calculate t.
-9, 0, 1, 3
Let q(j) = -16*j**2 - 50*j + 110. Let i be (-4)/12 + 20/(-3). Let c be i + 1 - (-7 - -3). Let p(k) = k**2 + k + 1. Let l(n) = c*q(n) - 36*p(n). Factor l(b).
-4*(b - 8)**2
Suppose -3*i + 48 = -4*d - 4, 2*i = -2*d - 40. Let f be (-1 - d)/(7 + -12 - -8). Factor 1/5*y**f + 12/5*y**3 - 8/5*y**2 + 0 + 0*y - 6/5*y**4.
y**2*(y - 2)**3/5
Let i(p) be the second derivative of 5*p**7/126 + 29*p**6/18 + 20*p**5/3 + 65*p**4/9 - 1329*p - 3. What is h in i(h) = 0?
-26, -2, -1, 0
Let i(u) be the first derivative of 2*u**6/3 - 12*u**5/5 + u**4 + 4*u**3 - 4*u**2 - 1162. Factor i(s).
4*s*(s - 2)*(s - 1)**2*(s + 1)
Let l(j) be the first derivative of -j**6/180 + j**5/12 - j**4/2 - j**3/3 + 62*j + 226. Let w(g) be the third derivative of l(g). What is p in w(p) = 0?
2, 3
Determine o, given that 0 + 33*o**2 + 232/7*o - 1/7*o**3 = 0.
-1, 0, 232
Let x(p) be the second derivative of p**7/42 - 31*p**6/30 - 5*p**5 - 17*p**4/3 + 992*p. Factor x(n).
n**2*(n - 34)*(n + 1)*(n + 2)
Factor -2/7*o**3 - 2250/7*o**2 - 105468750/7 - 843750/7*o.
-2*(o + 375)**3/7
Let 20740*f**2 - 20516*f**2 - 1354*f - 312 - 12*f**3 + 494*f = 0. Calculate f.
-1/3, 6, 13
Let k be 2/8 + 8131/1652. Let i = k - 12/413. Factor i + 4/7*z**2 + 24/7*z.
4*(z + 3)**2/7
Let i(b) be the third derivative of -99/8*b**4 + 0 - 1/40*b**6 + 0*b - 21/20*b**5 - 189*b**2 + 121/2*b**3. Factor i(z).
-3*(z - 1)*(z + 11)**2
Let g = -5517 + 5529. Let c(z) be the third derivative of 0 + 0*z**5 - g*z**2 + 0*z**3 + 0*z**4 + 1/105*z**7 + 0*z + 0*z**6. Factor c(h).
2*h**4
Let s(b) be the third derivative of -b**8/40320 + b**7/1260 + b**6/160 + b**5/60 + b**3/6 + 18*b**2 + 4. Let m(i) be the third derivative of s(i). Factor m(a).
-(a - 9)*(a + 1)/2
Let h(u) be the third derivative of u**7/2100 - 41*u**6/400 + 21*u**5/8 - 5341*u**4/240 - 4574*u**2. Factor h(r).
r*(r - 109)*(r - 7)**2/10
Let o = -20468/3 - -6823. Solve 2/3*m**3 + m**2 - 8/3*m + 4/3 - o*m**4 = 0.
-2, 1, 2
Let d(j) be the first derivative of j**4/20 - 19*j**2/10 + 6*j + 330. Factor d(w).
(w - 3)*(w - 2)*(w + 5)/5
Suppose 5*l - 15 = 0, -6*l = b - 5*l. Let j be b + 12 + (-1653)/(-58). Factor -j*s**2 - 2 - 15*s - 125/4*s**3.
-(5*s + 2)**3/4
Let l(r) be the second derivative of r**4/78 + 71*r**3/39 + 70*r**2/13 + 64*r - 7. Factor l(t).
2*(t + 1)*(t + 70)/13
Factor 2*j**3 + 108*j**2 + 152*j + 6674*j**4 - 6678*j**4 + 7*j**3 + 64 + 7*j**3.
-4*(j - 8)*(j + 1)**2*(j + 2)
Suppose -2 = -4*n + 4*w - 10, 3*w = 12. Let f**2 + 4*f**n - 48 - 28*f - 9*f**2 = 0. What is f?
-4, -3
Suppose -5*v - 70 = -3*y, -35*v + 3*y = -33*v + 28. Let r be (-32)/v*(19 + (-1926)/108). Factor r*j - 4/3*j**2 - 11/3*j**4 + 0 - 6*j**3 - 2/3*j**5.
-j*(j + 2)**3*(2*j - 1)/3
Let m(z) be the first derivative of z**5/5 + 17*z**4/4 + 56*z**3/3 + 26*z**2 + 823. Factor m(y).
y*(y + 2)**2*(y + 13)
Solve 160/11 + 2/11*j**3 + 32/11*j**2 - 152/11*j = 0 for j.
-20, 2
Let v(n) be the third derivative of 0*n**3 + 0 + 1/168*n**7 - 2*n - 25/96*n**4 - 21*n**2 + 11/48*n**5 - 7/96*n**6. Find o such that v(o) = 0.
0, 1, 5
Determine o so that -16 - 296/3*o**3 + 124*o**2 + 16/3*o**5 + 12*o**4 - 80/3*o = 0.
-6, -1/4, 1, 2
Let f = -582 - -611. Suppose -10*t = -16*t - f*t. Factor t - 4/7*w - 4/7*w**2 + 1/7*w**3 + 1/7*w**4.
w*(w - 2)*(w + 1)*(w + 2)/7
Determine h, given that -142*h**3 + 67*h**3 + h**4 - 8*h**2 + 82*h**3 + 0*h**4 = 0.
-8, 0, 1
What is m in -42*m**4 - 3*m - 6*m + 5*m + 24*m**4 + m - 3*m**5 + 6*m**3 - 18 + 36*m**2 = 0?
-6, -1, 1
Let h(y) = 2*y**2 - 63*y - 131. Let u be (15/(-45)*-1)/(1/(-6)). Let r be h(u). Solve 1/4*o**4 + 25/4 + 23/2*o**2 - 15*o - 3*o**r = 0.
1, 5
Let c(z) = -1. Let w(b) = -47*b**2 + 97*b**2 + 6*b - 52*b**2 + 11. Let v(n) = 3*c(n) + w(n). Factor v(f).
-2*(f - 4)*(f + 1)
Let v(t) be the third derivative of t**5/330 + 17*t**4/6 - 125*t**3/11 + 1193*t**2. Find m such that v(m) = 0.
-375, 1
Let b be ((-132)/(-88) - 6) + 5. Find z, given that -21/2*z + 23 - b*z**2 = 0.
-23, 2
Factor -3257*w**2 - 627 + 3266*w**2 - 1779 - 3603*w.
3*(w - 401)*(3*w + 2)
Let x(a) = 4 - 2*a**2 + 11 + 3*a + a. Let s = 3181 - 3187. Let u(b) = 11*b**2 - 25*b - 89. Let z(n) = s*u(n) - 34*x(n). Factor z(y).
2*(y + 3)*(y + 4)
Let h(d) be the second derivative of -2/15*d**2 - 2/75*d**6 + 1/315*d**7 + 1/5*d**3 + 0 + 7/75*d**5 - 8/45*d**4 + 30*d. Factor h(c).
2*(c - 2)*(c - 1)**4/15
Let n(q) be the second derivative of q**4/20 - 21*q**3/5 + 3063*q. Factor n(l).
3*l*(l - 42)/5
Let i(j) be the first derivative of 11*j**6/2 + 291*j**5/5 + 201*j**4 + 212*j**3 - 72*j**2 - 477. Suppose i(c) = 0. Calculate c.
-4, -3, -2, 0, 2/11
Let p(u) = 1868*u - 7445. Let k be p(4). Suppose -k*g + 6*g**3 - 45/2*g**2 + 0 + 3/2*g**4 = 0. What is g?
-6, -1, 0, 3
Let j(n) be the first derivative of n**7/315 + n**6/45 + n**5