.
-(r - 531)**2
Let r(u) be the first derivative of u**6/18 + 7*u**5/15 - 37*u**4/12 - 175*u**3/9 + 98*u**2 + 868. Factor r(o).
o*(o - 4)*(o - 3)*(o + 7)**2/3
Let y(u) = -22*u**3 - 444*u**2 - 23780*u - 23338. Let o(s) = -2*s**3 - s**2 - 2*s - 1. Let h(i) = -10*o(i) + y(i). Let h(f) = 0. What is f?
-108, -1
Let i(p) be the second derivative of -9/7*p**2 + 4/21*p**4 + 1/7*p**5 - 41*p + 1/105*p**6 + 0 - 10/21*p**3. Factor i(a).
2*(a - 1)*(a + 1)**2*(a + 9)/7
Let u(d) be the third derivative of -22*d**3 - 45/8*d**4 - 1/20*d**5 + 0 + 0*d - 193*d**2. Factor u(h).
-3*(h + 1)*(h + 44)
Let v = 45189/5 - 9037. Let k(x) be the first derivative of -64*x**2 + 64*x + v*x**5 - 26 - 8*x**4 + 32*x**3. What is u in k(u) = 0?
2
Let w(o) be the third derivative of o**7/210 + 47*o**6/120 + 14*o**5/3 - 294*o**4 + 44*o**2 - 2*o - 3. What is i in w(i) = 0?
-28, 0, 9
Let y(v) be the second derivative of -5/9*v**3 + 1/36*v**4 + 0 - 11*v + 0*v**2. Factor y(c).
c*(c - 10)/3
Let y = 15028 + -225418/15. Solve 0*q - 2/5*q**2 - y*q**3 + 0 = 0 for q.
-3, 0
Factor -17136 - 4/7*i**3 - 1824*i - 404/7*i**2.
-4*(i + 17)*(i + 42)**2/7
Let b = -151 + 153. Let 10 - 12*m**3 - 18*m**2 + 0 + 15*m + 3*m**b + 2*m**3 = 0. Calculate m.
-2, -1/2, 1
Let f = 589 - 586. Factor -5*z**2 - 1678*z**5 - 4*z**4 + 1679*z**5 + z**4 - 9*z**f.
z**2*(z - 5)*(z + 1)**2
Suppose 23*p - 42 = -21 + 49 - 1. Let p*a**4 - 6*a**2 + 3 - 3/4*a + 3/2*a**3 - 3/4*a**5 = 0. Calculate a.
-1, 1, 4
Let x(u) be the first derivative of -u**4/6 - 40*u**3/9 - 25*u**2 + 3879. Factor x(r).
-2*r*(r + 5)*(r + 15)/3
Let y(l) be the third derivative of l**8/1008 - 2*l**7/105 + 7*l**6/72 - 2*l**5/15 + 3324*l**2. Solve y(f) = 0.
0, 1, 3, 8
Let w(o) be the first derivative of 5*o**4/2 - 32*o**3/9 - 179*o**2/3 + 8*o + 5391. Solve w(p) = 0.
-3, 1/15, 4
Suppose 3*a = 15, -4*a - 1 = -x - 13. Let -5*q**5 + 0*q**5 + x*q**2 - 20*q**4 - 4*q**3 - 3*q**5 = 0. Calculate q.
-2, -1, 0, 1/2
Suppose 12792/7*l + 12168/7 + 3674/7*l**2 + 164/7*l**3 + 2/7*l**4 = 0. What is l?
-39, -2
Let w(y) = -y + 414. Let f be w(-32). Let g = f + -444. Determine u so that 3/4*u**g - 15/4*u + 9/2 = 0.
2, 3
Let g be 10/4 + 7384/2496 + (-4)/3. Let y(b) be the first derivative of -3/2*b - g*b**2 + 8 - 3/4*b**4 - 13/4*b**3. Factor y(t).
-3*(t + 1)*(t + 2)*(4*t + 1)/4
Let i(b) be the third derivative of -b**8/112 + 41*b**7/140 - 57*b**6/16 + 79*b**5/4 - 58*b**4 + 96*b**3 - 447*b**2. Determine w so that i(w) = 0.
1, 3/2, 2, 8
Let d = -5207/20 + 1313/5. Let p(o) be the first derivative of -21/16*o**4 - 13 - 3/10*o**5 - 15/8*o**2 - 3/4*o - d*o**3. Factor p(u).
-3*(u + 1)**3*(2*u + 1)/4
Let r(p) be the second derivative of -166*p + 69984/5*p**2 + 27/5*p**4 + 1944/5*p**3 + 3/100*p**5 + 0. Factor r(c).
3*(c + 36)**3/5
Suppose 2/13*x**3 - 462/13*x + 232/13 + 228/13*x**2 = 0. What is x?
-116, 1
Let c(j) be the second derivative of 5/32*j**4 + 41/16*j**3 + 287*j + 0 + 3/2*j**2. Factor c(d).
3*(d + 8)*(5*d + 1)/8
Let r(k) be the second derivative of -20*k**2 + 34/3*k**3 + 266*k + 2/15*k**6 - k**4 + 0 - k**5. Find s, given that r(s) = 0.
-2, 1, 5
Let i = -75387 - -150795/2. Find w such that -i*w - 9/4 + 15/4*w**2 = 0.
-1/5, 3
Let i(l) be the third derivative of -11*l**6/1440 + l**5/80 - l**3/3 - 8*l**2 + 3*l. Let g(c) be the first derivative of i(c). What is t in g(t) = 0?
0, 6/11
Let g(q) = 8*q**2 + 8*q. Suppose 13*a = 19*a - 60. Let w be -7 + 11/2 + a/(-4). Let x(b) = 7*b**2 + 8*b + 1. Let v(n) = w*x(n) + 3*g(n). Factor v(t).
-4*(t + 1)**2
Find u such that -11/2*u**3 - 53/2*u**2 - 324 + 1/2*u**4 + 711/2*u = 0.
-8, 1, 9
Let k(z) be the third derivative of -z**7/630 - z**6/9 - 19*z**5/30 - 107*z**4/24 - 2*z**2 + 18. Let x(q) be the second derivative of k(q). Factor x(j).
-4*(j + 1)*(j + 19)
Let m = -9317/60 - -466/3. Let q(z) be the third derivative of z**3 - 11*z**2 + 3/8*z**4 + m*z**5 + 0 + 0*z. Let q(n) = 0. Calculate n.
-2, -1
Solve -87128*a**2 - 128*a + 105 + 219*a + 545*a + 87125*a**2 - 1986 = 0.
3, 209
Let n(x) be the third derivative of x**6/540 - 977*x**5/270 + 79381*x**4/36 + 26569*x**3/3 + 388*x**2. Factor n(g).
2*(g - 489)**2*(g + 1)/9
Factor -79 - 99*f**3 - 532*f**2 - 862*f**2 - 10737 + 4077*f - f**4 - 794*f**2 + 9027*f.
-(f - 4)*(f - 1)*(f + 52)**2
Let h be ((-25)/39 + -2)*15940/(-820). Let w = -3/533 + h. Suppose -54*t**4 + 24*t**3 + w*t**2 - 24*t + 8/3 = 0. What is t?
-1, 2/9, 1
Let a be (-93 + -1)/((-54)/108). Find u, given that -a*u**2 - 6*u**5 + 65*u**2 + 65*u**2 + 80*u - 236*u**3 - 158*u**2 + 128 - 74*u**4 = 0.
-8, -2, -1, 2/3
Let b(r) = r**3 + r**2 - 16*r - 2. Let d be b(8). What is a in -4 - 446*a + 4*a**2 + d*a = 0?
-1, 1
Factor 0 + 2/9*f**4 - 158/9*f**2 - 80/9*f - 76/9*f**3.
2*f*(f - 40)*(f + 1)**2/9
Let y(d) be the first derivative of 8/9*d + 28 - 2/9*d**3 + 11/9*d**2. What is t in y(t) = 0?
-1/3, 4
Let l(w) be the first derivative of -2*w**5/5 + 43*w**4/2 - 412*w**3 + 3168*w**2 - 5184*w + 2336. Solve l(f) = 0.
1, 12, 18
Let l(g) be the first derivative of g**7/210 - g**6/120 - 119*g**2 + 185. Let w(o) be the second derivative of l(o). Factor w(d).
d**3*(d - 1)
Factor -824*j**3 - 8955/2*j - 2979*j**2 - 2241 + 1/6*j**5 - 244/3*j**4.
(j - 498)*(j + 1)*(j + 3)**3/6
Let u be (-12)/(-46)*(-4531)/(-788). Let v(m) be the second derivative of 0 - 1/4*m**4 - 11*m + u*m**2 + 3/20*m**5 - 1/2*m**3. Find w such that v(w) = 0.
-1, 1
Suppose 2*y + 18*q = 20*q + 8, -2*q - 8 = 0. Let s(r) be the second derivative of 5/3*r**4 - 5/2*r**2 - 22*r + y*r**3 + 0. Solve s(d) = 0 for d.
-1/2, 1/2
Let f = -227858/5 + 45572. Solve 8/5*u + 0 - f*u**2 = 0 for u.
0, 4
Let g = 143/24 - 71/12. Let a(k) be the second derivative of 0 + 1/4*k**2 - g*k**3 + 1/80*k**5 - 40*k - 1/24*k**4. Solve a(x) = 0.
-1, 1, 2
Let p(r) = 9*r**3 - 6*r**2 - 17*r + 14. Let l(f) = -2*f**3 + 2*f**2 - f + 1. Let y(c) = 4*l(c) + p(c). Factor y(j).
(j - 3)*(j - 1)*(j + 6)
Let j = 49/3 - 41/3. Let t = -21421 - -21421. Factor 0 + 4/3*w**4 - j*w**3 + 4/3*w**2 + t*w.
4*w**2*(w - 1)**2/3
Let n = 4963 + -4957. Let g(k) be the first derivative of 12/35*k**5 + 27 + 0*k**4 + 0*k - 1/7*k**n + 0*k**2 + 0*k**3. Suppose g(t) = 0. What is t?
0, 2
Let i = 73905/4 - 221675/12. Determine n so that i - 5/3*n**2 - 5/3*n = 0.
-2, 1
Let i(o) be the third derivative of -o**6/90 - 2*o**5/15 - 5*o**3/3 + 14*o**2 + 2. Let s(f) be the first derivative of i(f). Factor s(c).
-4*c*(c + 4)
Suppose 0 = -13*s + 66 - 14. Factor -8*g**s + 108*g**2 + 29*g**3 + 4*g**4 - 8*g**3 + 6*g**3 + 77*g**3.
-4*g**2*(g - 27)*(g + 1)
Let f(z) be the second derivative of z**6/270 + z**5/18 - 107*z**3/6 - 3*z + 11. Let d(g) be the second derivative of f(g). Suppose d(w) = 0. What is w?
-5, 0
Let i = -561 - -449. Let n be 105/20*(-32)/i. Factor 15/2*w + 6 + n*w**2.
3*(w + 1)*(w + 4)/2
Suppose -p + 63 = 3*q + 41, -5*q = p - 36. Let s(o) be the third derivative of 0*o + 0 + 0*o**4 + q*o**2 + 4/39*o**3 - 1/390*o**5. Factor s(x).
-2*(x - 2)*(x + 2)/13
Suppose -3*i - 14*o + 405 = -19*o, 2*i - 3*o - 271 = 0. Factor -i*s**2 + 10*s**3 - 31 - 32 + 172*s + 6*s**2 + 15.
2*(s - 12)*(s - 1)*(5*s - 2)
Let -144/13 - 94/13*v**3 + 452/13*v**2 + 10/13*v**5 - 168/13*v - 56/13*v**4 = 0. What is v?
-3, -2/5, 1, 2, 6
Let t = 110 - 111. Let o be (60/18*3)/((-4)/t). Factor o*j**2 - 1/4*j**3 + 0 + 0*j.
-j**2*(j - 10)/4
Let g be 20/(-55) + 3180/33. Suppose -g*s + 92*s = -12. Factor 4/3*d**s + 3 - 4*d - 2/3*d**2 + 1/3*d**4.
(d - 1)**2*(d + 3)**2/3
Let j(i) be the third derivative of -i**4/12 - 35*i**3/3 + 49*i**2 - 2. Let l be j(-37). Factor 0*c**3 + 8/3*c**l + 2/3*c - 2*c**2 + 0.
2*c*(c + 1)*(2*c - 1)**2/3
Suppose -5/4*o**3 + 1055/4*o - 25/2*o**2 + 275 = 0. What is o?
-20, -1, 11
Suppose 4*s + 1092 = 16*s. Factor -31*h**4 + s*h**4 + 144*h - 24*h**2 - 100*h**3 - 24*h**4 + 32.
4*(h - 2)**2*(h + 1)*(9*h + 2)
Let a(m) be the second derivative of 32*m**2 + 34/3*m**3 + 1/3*m**4 + 6 + m. Find h such that a(h) = 0.
-16, -1
Let s be (7/8 + -1)/(-104 + (-383637)/(-3690)). Let 7/2 + s*n + 1/4*n**2 = 0. Calculate n.
-14, -1
Let k(f) = -f**2 - 12*f + 5. Let b be k(-12). Let -j**b - 13*j**5 + 6*j**4 - 2*j**3 + 4*j**3 + 6*j**3 = 0. Calculate j.
-4/7, 0, 1
Let q = 263415/2 + -131706. What is j in 0 - q*j**3 + 3/4*j**4 + 3/4*j**2 + 0*j = 0?
0, 1
Suppose 0 = -4283*o + 4284*o - 13, 3*f - 4*o + 46 = 0. Suppose 