2/3 + 9721*f. Suppose h(l) = 0. What is l?
-16, -10/11
Let u(l) be the second derivative of l**9/3024 + l**8/420 + l**7/280 - l**3/3 + 3*l**2/2 + 118*l. Let b(s) be the second derivative of u(s). Factor b(o).
o**3*(o + 1)*(o + 3)
Let n be (16 - 1680/100)*-5. Let w(v) be the second derivative of -15*v**2 - 5/4*v**5 - 6*v + 0 - 115/6*v**3 - 55/6*v**n. Solve w(q) = 0 for q.
-3, -1, -2/5
Let l(d) be the first derivative of -d**3/12 + 231*d**2/4 - 1377*d/4 - 12369. What is r in l(r) = 0?
3, 459
Let h = 100/1227 + 2572/8589. Determine t so that -2/21*t**4 + 0 - 2/21*t**2 - h*t**3 + 4/7*t = 0.
-3, -2, 0, 1
Let f(m) be the second derivative of 0 + 0*m**2 + 1/2*m**5 + 62*m + 1/84*m**7 + 0*m**3 - 2/3*m**4 - 2/15*m**6. Factor f(r).
r**2*(r - 4)*(r - 2)**2/2
Let i be (-1)/(5/27)*-1. Let f = 617285 - 3086422/5. Find b, given that f*b**2 - 18/5*b + i = 0.
3
Suppose 0 = -2*y - 0*y + 4. Factor 1331 - 24*q**2 - 94*q**3 - 363*q + 57*q**y + 93*q**3.
-(q - 11)**3
Factor 172*o**2 + 4*o**3 + 864 - 240022*o + 120473*o + 120581*o.
4*(o + 1)*(o + 6)*(o + 36)
Let k = -144 - -141. Let i(x) = x**3 - 8*x**2 - 17*x - 10. Let s(v) = v**3 + v + 1. Let j(h) = k*i(h) + 6*s(h). Suppose j(t) = 0. What is t?
-4, -3, -1
Let a = -34 + 58. Suppose -k - 2*k = -a. Suppose -p**3 - 2*p**2 - 17*p + 8*p + k*p = 0. What is p?
-1, 0
Suppose -10 = y - 10. Suppose y*v = -v + 45. Factor 36*d + 4*d**2 - v*d + 3*d**3 + 2*d**2.
3*d*(d - 1)*(d + 3)
Let y(g) be the first derivative of -g**4 - 38/5*g**2 - 12/5*g + 18 - 28/5*g**3. Factor y(p).
-4*(p + 1)*(p + 3)*(5*p + 1)/5
Let f be -68*(5/2 + -2). Let j = f + 37. Let h(u) = -4*u**2 - 19*u - 13. Let t(x) = -28*x**2 - 132*x - 92. Let q(o) = j*t(o) - 20*h(o). Let q(m) = 0. What is m?
-2
Let r be ((-22505)/(-840) + -27)*-6. Factor -r - 15/4*s**2 + 15/4*s + 5/4*s**3.
5*(s - 1)**3/4
Let j = -29/466 + 1077/2330. Factor j*o + 0 + 2/5*o**2.
2*o*(o + 1)/5
Factor 1492*y + 1040 - 447*y - 14*y**2 + 19*y**2.
5*(y + 1)*(y + 208)
Let q(j) = j**2 + j - 1. Let u(f) = -5*f**2 - 23*f + 70. Let m(a) = 4*q(a) + u(a). Let m(c) = 0. What is c?
-22, 3
Suppose 595*i - b = 597*i - 9, 0 = -i - 5*b + 9. Let t(j) be the first derivative of 8/3*j**3 - 6*j**2 - 13 + 2*j**i + 4*j + 2/3*j**6 - 12/5*j**5. Factor t(s).
4*(s - 1)**4*(s + 1)
Let m be 29/((-4640)/(-660)) + 8/(-2). Let b(q) be the first derivative of 6 + 0*q + m*q**4 + 2/3*q**3 + q**2. Factor b(s).
s*(s + 2)**2/2
Suppose 19/3*s**2 - 14*s + 1/3*s**3 + 0 = 0. What is s?
-21, 0, 2
Suppose 4*n + 5*l = 3*l + 16, n + 2*l = 7. Let z(a) = -14*a**3 - 1. Let o be z(-1). Let 0*c - n*c**4 - 3*c**2 - 5*c**5 + o*c**2 + 5*c - 7*c**4 = 0. What is c?
-1, 0, 1
Let f(n) be the first derivative of n**5/4 - 35*n**4/12 + 10*n**3 + 46*n + 9. Let t(w) be the first derivative of f(w). Factor t(c).
5*c*(c - 4)*(c - 3)
Let h = 16461/10166 - 606/5083. Factor 0 - 6*u + 3/2*u**4 - 27/2*u**3 + h*u**5 + 33/2*u**2.
3*u*(u - 1)**3*(u + 4)/2
Let y(s) be the third derivative of -s**7/6300 - s**6/900 - s**4/12 - 3*s**3/2 + 29*s**2. Let p(o) be the second derivative of y(o). What is g in p(g) = 0?
-2, 0
Let v = 6 + -10. Let s be (8/36 - v) + 6/(-27). Factor 5*i**2 + 10*i**2 + 10*i**4 + 6*i - 7*i**s + 12*i**3.
3*i*(i + 1)**2*(i + 2)
Let y(v) be the second derivative of 1/3*v**4 - 10*v**3 - 2*v + 88 + 0*v**2. Factor y(c).
4*c*(c - 15)
Let d(l) = 3*l**2 - 5. Let i be d(2). Suppose 5*p + 52 = 5*u + i, -p = 4. Suppose -u*g**2 + 12*g**2 - 4*g**2 = 0. What is g?
0
Let k be -2 - ((-117)/(-3) + -2). Let j(d) = 19*d**2 + d - 7. Suppose -141*x = -146*x + 30. Let f(n) = 3*n**2 - 1. Let r(g) = k*f(g) + x*j(g). Factor r(c).
-3*(c - 1)**2
Suppose 2*b + 0*b - 3*o - 16 = 0, 21 = 3*b - 3*o. Let x be (-51)/136 - 38/(-16). Factor 2*y**2 + 10*y**3 - 3*y**x + y**2 - 5*y**4 - b*y**2.
-5*y**2*(y - 1)**2
Let r(v) be the first derivative of -v**4/4 - 1513*v**3/3 - 3023*v**2/2 - 1511*v - 153. Factor r(l).
-(l + 1)**2*(l + 1511)
Let w(l) be the second derivative of -1/4*l**4 + 1/14*l**7 - 4*l**3 + 1/2*l**6 - 6*l**2 + 7 - 8*l + 21/20*l**5. Suppose w(u) = 0. What is u?
-2, -1, 1
Let r(d) be the first derivative of -d**4/32 - 2*d**3/3 - 51*d**2/16 - 9*d/2 + 10937. What is c in r(c) = 0?
-12, -3, -1
Factor 245*s**4 + 76*s + 8*s**3 - 32 + 316*s**4 - 54*s**2 - 559*s**4.
2*(s - 2)*(s - 1)**2*(s + 8)
Let o = -1536 - -1534. Let f be o/(-21)*((-9510)/(-15) + -10). Solve -1944/7*p**4 - 1458/7*p**5 + 1728/7*p**3 + 32/7*p + 0 - f*p**2 = 0.
-2, 0, 2/9
Find b such that -52*b**4 - 1591*b**3 - 1885*b**3 + 2972*b**3 - 224*b - 752*b**2 + 20*b**5 = 0.
-2, -2/5, 0, 7
Let y be -1 - (-1)/(3/(-3))*-5. Suppose u**y - 30*u - 27*u**2 - 12 - 6*u**4 + 37 + 7*u**2 + 30*u**3 = 0. Calculate u.
-1, 1, 5
Let p = 335071 + -335069. Determine d so that -24334/7 - 138/7*d**p + 3174/7*d + 2/7*d**3 = 0.
23
Let p = -394305 - -394310. Factor -1/5*q**2 + 0 + 0*q + 6/5*q**3 + 4/5*q**p - 9/5*q**4.
q**2*(q - 1)**2*(4*q - 1)/5
Let t(i) be the second derivative of -i**4/3 - 182*i**3 - 544*i**2 - i + 520. Factor t(k).
-4*(k + 1)*(k + 272)
Let g(l) be the first derivative of 25/4*l**4 + 95 - 20*l + 5/2*l**6 - 11*l**5 - 20*l**2 + 25*l**3. Find d, given that g(d) = 0.
-1, -1/3, 1, 2
Let j = -917509/4 - -229378. Find r, given that j*r**2 - 21/4 + 9/2*r = 0.
-7, 1
Let b(g) be the second derivative of g**6/45 - 14*g**5/15 + 50*g**4/9 - 32*g**3/3 - 263*g + 6. Suppose b(p) = 0. Calculate p.
0, 2, 24
Determine b, given that -14792/15 - 6/5*b**2 - 344/5*b = 0.
-86/3
Let o = 5923403/7 + -846193. What is d in -192/7 - o*d + 4/7*d**2 = 0?
-3, 16
Suppose -18*r + 66 = -582. Suppose 48 + 2*u**2 - 6*u**3 - 12*u - 76 + 28*u + r = 0. Calculate u.
-1, -2/3, 2
Let p(g) = 2*g**2 - g. Let o(r) = 5*r**4 - 530*r**3 + 20172*r**2 - 317446*r + 1638400. Let f(y) = -o(y) + 6*p(y). Factor f(k).
-5*(k - 32)**3*(k - 10)
Let v(i) be the first derivative of 208/3*i + 136 + 20/9*i**3 + 88*i**2. Factor v(b).
4*(b + 26)*(5*b + 2)/3
Let f be (-8)/(-10) + ((-279)/(-45) - 1). Factor 2 - m**2 + 2 + f - 5 + 4*m.
-(m - 5)*(m + 1)
Let x(j) = -3*j**3 + 69*j**2 + 489*j + 3. Let i(g) = -15*g**3 + 343*g**2 + 2444*g + 14. Let t(u) = 3*i(u) - 14*x(u). Factor t(c).
-3*c*(c - 27)*(c + 6)
Let g = 8202 - 8199. Let k(o) be the third derivative of 0 - 1/3*o**4 + 0*o**g + 1/5*o**5 + 0*o + 6*o**2 - 1/30*o**6. Factor k(w).
-4*w*(w - 2)*(w - 1)
Suppose -5*x + 5 = -4*x. Suppose -x*r + 2 = 22, 4*q = -5*r - 4. Factor -o - 19 + 12 + o**3 - 3*o**2 + 8 + 2*o**q.
(o - 1)*(o + 1)**2*(2*o - 1)
Let b(z) be the first derivative of 5*z**3/3 + 225*z**2 + 1720*z - 4775. Determine v, given that b(v) = 0.
-86, -4
Factor 1/2*d**3 - 87 + 85/2*d + 44*d**2.
(d - 1)*(d + 2)*(d + 87)/2
Let b = -28/3 + 10. Suppose o - 2*o - 6*o = -21. Factor 0 + 8/3*t + b*t**o - 8/3*t**2.
2*t*(t - 2)**2/3
Let b(v) be the third derivative of -v**7/735 + 13*v**6/420 + 23*v**5/21 - 3*v**2 - 14*v - 33. Let b(d) = 0. What is d?
-10, 0, 23
Let w(d) be the third derivative of d**7/2520 - d**6/240 - d**5/12 - 6*d**4 + 15*d**2. Let g(t) be the second derivative of w(t). What is n in g(n) = 0?
-2, 5
Suppose -2*s - 2*q + 8 = 0, 4 = 3*s + 6*q - 11*q. Let 17*n + 3*n + 19*n**2 + 196*n**3 - 408*n**3 + 4*n**4 + 192*n**s + n**2 - 24 = 0. What is n?
-1, 1, 2, 3
Let l(i) be the first derivative of i**7/1680 - 13*i**5/240 + i**4/4 + 44*i**3/3 + 84. Let q(x) be the third derivative of l(x). Factor q(r).
(r - 3)*(r - 1)*(r + 4)/2
Determine s, given that -639/5*s + 8/5*s**2 - 16 = 0.
-1/8, 80
Let f = -13258/17396583 + -1/14461. Let i = f + 6017/2406. Factor -1/2*q**3 - i*q + 0 - 3*q**2.
-q*(q + 1)*(q + 5)/2
Let c(h) be the third derivative of 0*h**3 + 41/12*h**4 + 0*h + 66*h**2 + 0 + 1/30*h**5. Solve c(g) = 0 for g.
-41, 0
Let a be 1*-5*(36/(-5) - -6). Factor 11*i + 7*i**3 - 2*i - 4*i**3 + 27 - 9*i**2 - a*i**2.
3*(i - 3)**2*(i + 1)
Let g(t) be the third derivative of t**5/510 + 13*t**4/17 + 2028*t**3/17 + 44*t**2 - 8. Factor g(j).
2*(j + 78)**2/17
Let p(t) = -25*t**3 - 3485*t**2 - 3468*t. Let v(f) = -16*f**3 - 2324*f**2 - 2313*f. Let o(r) = 5*p(r) - 8*v(r). Factor o(w).
3*w*(w + 1)*(w + 388)
Let t(j) be the third derivative of -j**8/3360 - j**7/210 - 11*j**4/4 - 8*j**2 - 4*j. Let i(z) be the second derivative of t(z). Find x, given that i(x) = 0.
-6, 0
Suppose -2*z = -2*t + 9550, 4*t + 5*z = 16108 + 3037. Determine r, given that 2389*r**4 - 18*r**2 + 