 + 5*u**s = 0?
0, 1
Let k(q) be the first derivative of -1/2*q**4 + 4/25*q**5 - 2/5*q**3 + 8/5*q - 14 + 8/5*q**2. Solve k(n) = 0.
-1, -1/2, 2
Let o be ((-30)/300)/(3/(-5)) - 116/(-168). Suppose 12 = 2*d + 2*d. Factor o*i**2 - 2/7*i**d + 0 - 4/7*i.
-2*i*(i - 2)*(i - 1)/7
Let o(g) be the first derivative of -g**4/18 - 280*g**3/27 - 139*g**2/9 - 4906. Factor o(r).
-2*r*(r + 1)*(r + 139)/9
Suppose 4*i = -4*m - 64, 4*m + 185*i - 186*i = 26. Let -1/6*o**m + 0*o + 1/6 = 0. What is o?
-1, 1
Suppose 1638161*s**5 + 2381518*s**5 + 24 - 41817*s**3 + 31698*s**2 + 1668*s - 1508542*s**4 - 2502710*s**4 = 0. What is s?
-2/53, 1/9, 1
Let n be 119/34 + (-1)/2. Let r be (-122747)/14055 - (-9 + 0). Suppose 0 + 2/15*q**n + r*q - 2/5*q**2 = 0. Calculate q.
0, 1, 2
Let r(i) = i**2 - 26*i + 168. Let x be r(17). Let w be x/18 - (-61)/42. Factor w*f**2 + 4/7*f**3 - 72/7 - 12/7*f.
4*(f - 2)*(f + 3)**2/7
Find u, given that -260*u**2 + 2834 - 439*u + 5*u**3 - 666*u - 3674 = 0.
-3, -1, 56
Factor 3*s**4 + 1349*s**2 - 383*s**2 + 2*s**4 + 148*s**3 - 432 - 261*s**2 + 774*s.
(s + 3)**2*(s + 24)*(5*s - 2)
Factor 1157 - 329*h**2 - 1711*h**2 + 25156*h**3 + 883 + 5*h - 25161*h**3.
-5*(h - 1)*(h + 1)*(h + 408)
Let i(h) = 586*h - 7028. Let n be i(12). Suppose 10/9*g**2 - 2/9*g**5 - 22/3*g**3 + 0 + 100/9*g + 22/9*g**n = 0. Calculate g.
-1, 0, 2, 5
Let i(c) be the first derivative of -c**3/3 + c**2/2 - 12. Let l(y) = 4*y**2 - y - 25 - 4*y**2 + 10*y**2. Let z(v) = 22*i(v) + 2*l(v). Let z(f) = 0. What is f?
5
Factor -403/6*p**2 + 35/6*p**3 - 216 - 1/6*p**4 + 555/2*p.
-(p - 16)*(p - 9)**2*(p - 1)/6
Factor -252 - 4/5*d**2 + 272/5*d.
-4*(d - 63)*(d - 5)/5
Factor 9585 - 19759 - 36100*h**2 + 4090 + 29640*h.
-4*(95*h - 39)**2
Let v(z) = -z**2 - 7*z - 2. Let y be v(-4). Let t be y*-3*4/(-24). Factor l**3 + 0*l**2 - l**t - l**2 - l**2 + 2*l**4.
-l**2*(l - 2)*(l - 1)*(l + 1)
Let i(p) be the second derivative of -p**8/42 - 8*p**7/105 - p**6/12 - p**5/30 + 53*p**2 + 52*p. Let d(j) be the first derivative of i(j). Factor d(h).
-2*h**2*(h + 1)*(2*h + 1)**2
Let z be ((4488/(-153))/(-88))/(2/8). Determine k so that k**3 + 0 - 8/3*k - 10/3*k**2 - 1/3*k**5 + z*k**4 = 0.
-1, 0, 2, 4
Let o(u) = 7*u**2 + 412*u - 617. Let t(y) = -8*y**2 - 378*y + 617. Let g(n) = 7*o(n) + 6*t(n). Factor g(j).
(j - 1)*(j + 617)
Suppose s + 0 = 4*r - 6, -5*r - 3*s = -16. Factor 15*b + 21*b**r - 72 + 140 - b**2 - 73.
5*(b + 1)*(4*b - 1)
Let x(w) be the third derivative of 5*w**2 - 2/25*w**5 + 0 - 11/40*w**4 + 0*w - 3/10*w**3. Factor x(j).
-3*(j + 1)*(8*j + 3)/5
Factor 3/2*s**2 - 11*s + 1/6*s**3 + 28/3.
(s - 4)*(s - 1)*(s + 14)/6
Let z = -444773/9 + 49421. Factor -2/9*w**2 - 10/3 - z*w.
-2*(w + 3)*(w + 5)/9
Let k be 13/(1911/252) - 40/315*9. Determine n, given that 3/7 - k*n**3 + 11/7*n**2 - 10/7*n = 0.
3/4, 1
Let n(d) be the second derivative of -1600*d**2 - 2*d**4 + 24*d + 80*d**3 + 0 + 1/50*d**5. Solve n(a) = 0 for a.
20
Let l be (234/(-4) - 1) + (-1182)/(-197). Let i = -531/10 - l. Factor i - 6/5*q + 6/5*q**2 - 2/5*q**3.
-2*(q - 1)**3/5
Suppose 0 = -2837*u + 2444*u. Solve 0*m**2 + u + 2/5*m**5 - 2/3*m**4 + 0*m - 4/15*m**3 = 0 for m.
-1/3, 0, 2
Let a(o) be the first derivative of -1/30*o**5 + 15 + 0*o**2 - 1/18*o**3 - 1/12*o**4 + 0*o. Find g such that a(g) = 0.
-1, 0
Let d(m) be the second derivative of -m**5/12 + 35*m**4/3 - 1960*m**3/3 + 10*m**2 - 57*m. Let r(y) be the first derivative of d(y). Factor r(s).
-5*(s - 28)**2
Solve 1/2*w**3 - 15*w**2 - 105 - 169/2*w = 0 for w.
-3, -2, 35
Let f be (-14 - (-2 + -3)) + 433/48. Let c(k) be the first derivative of -1/16*k**2 + 44 - f*k**6 - 3/16*k**4 - 1/10*k**5 - 1/6*k**3 + 0*k. Factor c(i).
-i*(i + 1)**4/8
Let r(z) be the third derivative of -1/60*z**6 + 1/3*z**5 + 14/3*z**3 + 42*z - 23/12*z**4 + 0 - z**2. Factor r(w).
-2*(w - 7)*(w - 2)*(w - 1)
Let g = 2447 - 7337/3. Let f(r) be the third derivative of 18*r**2 + 0*r + 1/15*r**5 + g*r**3 + 0 + 1/2*r**4. Factor f(b).
4*(b + 1)*(b + 2)
Let t be (415/166)/(7 + 130/(-40)). Factor 0*f - t*f**2 + 0 - f**3.
-f**2*(3*f + 2)/3
Let t(p) = 3*p**2 - 38*p + 105. Let i be t(3). Let d be i*(-3)/(-24) - 31/124. Factor -2/5*y**d - 2/5*y**3 + 2/5*y + 2/5*y**4 + 0.
2*y*(y - 1)**2*(y + 1)/5
Let w(q) = -2*q**3 + 2*q**2 - 6*q - 22. Let b be w(-4). Let h = -144 + b. Factor -4 - 24*y + 36*y**2 + 17 - 6*y**3 + 2 - 3*y**4 - h*y.
-3*(y - 1)**3*(y + 5)
Let g(t) be the first derivative of -202 + 0*t - 160*t**2 - 4/3*t**3. Factor g(q).
-4*q*(q + 80)
Let t(q) be the second derivative of -q**6/6 - 3*q**5 + 75*q**4/4 - 10*q**3/3 - 150*q**2 + 4*q + 379. Let t(y) = 0. Calculate y.
-15, -1, 2
Let k be (-1)/(5/10*-1). Suppose -3*v - 3 = 0, 0 = b + k*v + 4 - 17. Factor 2*r**2 + b*r**3 - 37*r**3 + 20*r**3 + 4*r.
-2*r*(r - 2)*(r + 1)
Let l(r) be the third derivative of 1/735*r**7 + 8/21*r**4 + 0 + 4/35*r**5 - 1/42*r**6 + 0*r - 128/21*r**3 + 84*r**2. Factor l(m).
2*(m - 4)**3*(m + 2)/7
Let w = -13188 - -13192. Solve 104/5*p**3 - 16/5*p**w - 73/5*p - 21*p**2 - 2 = 0 for p.
-1/4, 2, 5
Factor 0 - 20*z + 1/5*z**5 - 2*z**4 + 8*z**2 + 21/5*z**3.
z*(z - 5)**2*(z - 2)*(z + 2)/5
Suppose 120*r + 880/3 - 5/3*r**3 + 5*r**2 = 0. What is r?
-4, 11
What is o in 32790*o + 64567848 - 10*o**2 + 11*o**2 + 4*o**2 - 3652997 - 7155646 = 0?
-3279
Let r(q) be the third derivative of 32*q**2 + 0 + 0*q**3 + 0*q + 1/72*q**8 - 2/45*q**5 - 4/45*q**6 + 0*q**4 - 1/63*q**7. Solve r(n) = 0.
-1, -2/7, 0, 2
Suppose -10*k = -110*k - 67*k + 2171. Let q(w) be the third derivative of -1/40*w**5 + 0*w**4 - 1/420*w**7 + 0*w - k*w**2 + 0 + 0*w**3 - 1/60*w**6. Factor q(n).
-n**2*(n + 1)*(n + 3)/2
Let y be 72 - (4 - -10 - 8). Factor 12*o - y*o**2 + 69*o**2 + 693 - 684.
3*(o + 1)*(o + 3)
Let n(r) be the third derivative of -r**5/30 + r**4/6 + 80*r**3/3 + 3547*r**2. Find i, given that n(i) = 0.
-8, 10
Suppose -888*h + 905*h = 340. Let y(b) be the third derivative of 0*b**4 + h*b**2 + 0*b**3 + 1/30*b**5 + 0 + 0*b. What is u in y(u) = 0?
0
Let i(b) be the first derivative of 4/7*b + 1/35*b**5 + 3/28*b**4 - 13 - 3/14*b**2 - 5/21*b**3. Factor i(s).
(s - 1)**2*(s + 1)*(s + 4)/7
Let h be 216*((-18)/42 + (-47)/(-77)). Let d = -853/22 + h. Factor d*q**2 - 3/4*q + 0.
q*(2*q - 3)/4
Let r(f) be the first derivative of 16/9*f - 1/18*f**4 + 20/27*f**3 - 8 - 17/9*f**2. Let r(u) = 0. What is u?
1, 8
Let w(i) be the first derivative of 12*i**5/5 + 7*i**4 - 8*i**3 - 355. Factor w(a).
4*a**2*(a + 3)*(3*a - 2)
Let j(w) be the second derivative of -w**4/8 + 5*w**3 + 72*w**2 - 11*w + 45. Solve j(z) = 0.
-4, 24
Suppose 4*q = 9*q - 5. Let x be 28 + -3 + (q - 1). Solve 3*f - x + 9 + 17 - 4*f**2 = 0 for f.
-1/4, 1
Let t(a) be the first derivative of 0*a - 5/12*a**3 + 105/2*a**2 + 252. Factor t(n).
-5*n*(n - 84)/4
Let l(h) be the second derivative of 1/12*h**5 + 5/8*h**4 - 24*h + 5/3*h**3 + 0 - 25/2*h**2. Let y(f) be the first derivative of l(f). Solve y(p) = 0 for p.
-2, -1
Let t(p) be the second derivative of 1/4*p**5 + 0 + 202*p + 10/3*p**4 + 35/6*p**3 + 0*p**2. Solve t(k) = 0.
-7, -1, 0
Let v(x) be the second derivative of -x**9/5040 - 3*x**8/2800 + x**6/150 + 26*x**3 - x**2 + 82*x. Let n(c) be the second derivative of v(c). Factor n(d).
-3*d**2*(d - 1)*(d + 2)**2/5
Let s(t) be the first derivative of 0*t - 81*t**2 + 9*t**4 + 0*t**3 - 1/3*t**6 + 10 + 0*t**5. Let s(m) = 0. Calculate m.
-3, 0, 3
Let q(l) = l**3 - 10*l**2 + 13*l - 5*l - 805 + 816. Let o be q(9). Determine p, given that 2/11*p**o - 12/11*p + 10/11 = 0.
1, 5
Let v(r) be the third derivative of -r**7/105 - 9*r**6/20 + 197*r**5/15 - 79*r**4 - 456*r**3 - 11097*r**2. Let v(s) = 0. Calculate s.
-38, -1, 6
What is i in -79*i**3 + i**5 + 692 + 45*i**2 - 283 - 9*i**4 + 1052 + 1026*i + 51 = 0?
-3, 4, 14
Suppose -5*w - 2*t = -91 + 25, 0 = t + 2. Let o be (-714)/1020*(-32)/w. Let -8/5*j + 2/5*j**2 + o = 0. Calculate j.
2
Let h = -2365 + 42571/18. Let o(p) be the second derivative of 5/36*p**4 - 1/15*p**5 + 0 + 0*p**2 - h*p**3 + 15*p. Factor o(z).
-z*(z - 1)*(4*z - 1)/3
Let d(p) be the first derivative of -2*p**3/39 + 16*p**2/13 - 120*p/13 + 3052. Factor d(o).
-2*(o - 10)*(o - 6)/13
Let a(w) be the third derivative of -w**6/20 + 41*w**5/30 + 115*w**4/6 + 24*w**3 + 941*w**2. Factor a(r).
-2*(r - 18)*(r + 4)*(3*r + 1)
Let m be 10*(-1 + 2 + 0/(-3)). Suppose -5*y + 20 = -m. Factor -y*t + 