*k**2 + 1/96*k**6. What is r in v(r) = 0?
-1, 1, 4
Let h(z) = -z + 20. Let f be h(15). Suppose u = -5*a + 19, -f*a + a = -3*u. Solve -2*j**4 + u*j**3 + 0*j**3 - 112 + 112 = 0.
0, 2
Let f(c) be the second derivative of c**4/6 - 35*c**3/3 + 124*c**2 + 5036*c. Factor f(l).
2*(l - 31)*(l - 4)
What is f in 113/4*f**3 + 0 - 1/4*f**5 + 0*f - 135/4*f**2 + 23/4*f**4 = 0?
-5, 0, 1, 27
Let i be 7 - (3 + -3 + 2). Suppose c + 36 = 2*n + i*c, 2*c + 14 = 3*n. Factor l**2 - 10*l**4 + 10*l - 5 + 15*l + 27*l**3 - 46*l**2 + n*l**3.
-5*(l - 1)**3*(2*l - 1)
Let v(z) = -49*z**4 + 458*z**3 + 1159*z**2 - 579*z + 173. Let o(n) = -10*n**4 + 92*n**3 + 231*n**2 - 116*n + 34. Let s(u) = 31*o(u) - 6*v(u). Factor s(t).
-(t - 8)*(t + 2)*(4*t - 1)**2
Let v be -1 + -5*1*(-12)/15. Suppose 0 = -3*d - 4*k + 2*k + v, -6 = -4*d - 2*k. Factor d*w**5 + 12*w**5 + 3*w**4 - 11*w**2 - 14*w**5 - 6*w - 3*w**3.
w*(w - 2)*(w + 1)**2*(w + 3)
Factor 195/2*l**2 + 35/4*l**3 + 0*l + 0 - 5/4*l**4.
-5*l**2*(l - 13)*(l + 6)/4
Factor -28*a**2 + 3*a - 112 - 30*a - 110 + 222 - a**3.
-a*(a + 1)*(a + 27)
Let o = -338566 + 1015714/3. Factor -o*l**4 + 79/3*l**2 + 0 - 152/3*l**3 - 10/3*l.
-l*(l + 10)*(4*l - 1)**2/3
Solve 17/2*q**4 + 0 + 29*q**3 - 33/2*q**2 + 0*q - q**5 = 0.
-3, 0, 1/2, 11
Factor -188 + 21*b + 3*b - 213 - 4*b**2 - 164*b - 95.
-4*(b + 4)*(b + 31)
Let t be 6 + (-6696)/456 - 6/((-6)/11). Factor -16/19*j**3 - 48/19*j - 2/19*j**4 - 18/19 - t*j**2.
-2*(j + 1)**2*(j + 3)**2/19
Let v = 822 - 820. Let w(r) be the third derivative of 0*r + 1/120*r**6 - r**v + 0 + 0*r**3 + 0*r**4 + 0*r**5. Suppose w(z) = 0. Calculate z.
0
Let a(o) = 14*o**3 - 4*o**2 + 67*o + 67. Let s(u) = 36*u**3 - 12*u**2 + 200*u + 200. Let v(f) = -8*a(f) + 3*s(f). Solve v(r) = 0 for r.
-4, -1, 4
Let p be (-10)/48*492/615 - 802/(-60). Factor 30*d + p*d**3 - 42*d**2 - 6/5*d**4 + 0.
-6*d*(d - 5)**2*(d - 1)/5
Suppose 26*d - 3*d + 15548 = 0. Let w = d - -678. Factor 0 - 6/13*n**3 + 6/13*n**w - 2/13*n + 2/13*n**4.
2*n*(n - 1)**3/13
Let -3*o**2 - o**2 - 8424*o - 1002 + 9763*o = 0. What is o?
3/4, 334
Let h = -751 - -753. Find k, given that 561*k**h + 552*k**2 + 8 + 8*k - 2*k**3 - 1115*k**2 = 0.
-2, -1, 2
Let x(a) = a**3 + 5*a**2 - 3*a + 23. Let j be x(-6). Suppose -3*f = -j*f + 4. Find y such that -1/2*y + 0 - 17/4*y**4 - 11/4*y**f - 5/4*y**5 - 21/4*y**3 = 0.
-1, -2/5, 0
Let p = 355 + -299. Factor -12*j**3 + 2*j**3 - 11*j**2 + 8*j**2 + p*j + 6*j**3 - 17*j**2.
-4*j*(j - 2)*(j + 7)
Let c(h) be the third derivative of 0*h - 4*h**2 - 1/50*h**5 + 2 + 0*h**4 - 11/200*h**6 + 0*h**3. Factor c(d).
-3*d**2*(11*d + 2)/5
Let v(u) be the first derivative of -8/11*u**2 + 20 - 14/11*u - 2/33*u**3. Factor v(y).
-2*(y + 1)*(y + 7)/11
Let s(p) = 3*p**2 + 23*p - 1. Let u(q) = 2*q**4 - 92*q**3 + 841*q**2 + 4931*q + 3. Let x(m) = -6*s(m) - 2*u(m). Factor x(o).
-4*o*(o - 25)**2*(o + 4)
Let j be 1*-6 - (-264)/33. Let u = 66 - 39. Factor -u*p**4 - p**4 + 3*p - 36*p**3 - 8*p**j - 3*p.
-4*p**2*(p + 1)*(7*p + 2)
Let c(t) be the third derivative of -t**6/40 + 5*t**5/4 - 123*t**4/8 + 171*t**3/2 - 2179*t**2. Determine g, given that c(g) = 0.
3, 19
Suppose -16*r + 35 + 13 = 0. Let u be (r + 0)/(36/((-8)/(-2))). Let 2/3*o**2 + o**3 + 0 - u*o**5 + 0*o**4 + 0*o = 0. Calculate o.
-1, 0, 2
Let r(f) = 5*f - 107. Let w be r(13). Let n = -41 - w. Factor 1/3*l**2 - n - 2/3*l.
(l - 3)*(l + 1)/3
Suppose 24*r = 16*r + 32. Let x(v) = -6*v**2 - 76*v + 37. Let f(z) = -6*z**2 - 77*z + 38. Let a(o) = r*x(o) - 5*f(o). Suppose a(d) = 0. What is d?
-14, 1/2
Let k = 12955190473/1002 + -12929333. Let w = -4/167 - k. Factor 0 + 5/6*o**3 + 0*o + 1/2*o**5 - w*o**4 - 1/6*o**2.
o**2*(o - 1)**2*(3*o - 1)/6
Let d(s) be the second derivative of s**4/4 - 3*s**3 - 24*s**2 - 471*s + 1. What is l in d(l) = 0?
-2, 8
Let b(u) be the second derivative of -u**5/5 - u**4/3 + 4*u**3/3 - 237*u + 1. Let b(r) = 0. Calculate r.
-2, 0, 1
Let b be 958/(-4) - (135/18 + -7). Let u be (-130)/b - (-1)/8. Factor 4/9 + 2/9*s**2 + u*s.
2*(s + 1)*(s + 2)/9
Let r = -119214 - -238431/2. Factor 1/2*j**3 - 1/2*j + 1/2*j**4 + 1 - r*j**2.
(j - 1)**2*(j + 1)*(j + 2)/2
Let l be (-18)/(-72) + ((-18)/6)/(-24)*30. Let n(x) be the second derivative of 1/54*x**l + 2/9*x**3 - 13*x + 0 - 7/9*x**2. Factor n(b).
2*(b - 1)*(b + 7)/9
Factor n**5 - 46/5*n**2 - 3/5 - 6*n**3 - 23/5*n + 1/5*n**4.
(n - 3)*(n + 1)**3*(5*n + 1)/5
Let v = 66928 - 133841/2. Let -35/4*g - v + 5/4*g**3 + 0*g**2 = 0. Calculate g.
-2, -1, 3
Let z(m) = -m**2 + 3299*m + 23157. Let s be z(-7). Solve -s - 33/2*l - 3/2*l**2 = 0 for l.
-10, -1
Factor -7*y**3 + 8*y - 6 + 12*y**3 + 114*y**2 - 9*y**3 - 104*y**2.
-2*(y - 3)*(y + 1)*(2*y - 1)
Let a(k) be the third derivative of -k**6/60 + k**5/30 + 10*k**4 - 144*k**3 + 3*k**2 + 20*k + 12. What is s in a(s) = 0?
-12, 4, 9
Let l(f) = -25*f**3 + 430*f**2 + 2790*f + 4325. Let s(h) = 14*h**3 - 216*h**2 - 1395*h - 2163. Let k(y) = 3*l(y) + 5*s(y). Determine i so that k(i) = 0.
-3, 48
Let x(q) = 8*q**2 - 105*q - 1245. Let i(z) = -107*z - 1867 - 119*z + 13*z**2 + 31*z + 37*z. Let c(b) = -5*i(b) + 8*x(b). What is y in c(y) = 0?
-25
Suppose -3*v = 17*o - 13*o - 775, o + 3*v - 187 = 0. What is p in -198*p**2 + 30*p - o*p**2 + 397*p**2 = 0?
-10, 0
Let i = -27903 + 139517/5. Let 0 - i*m**2 - 4/5*m = 0. Calculate m.
-2, 0
Let k be (79/68888)/(1/10). Let s = k - -26/109. Factor -5/4*a - 1/4*a**2 + s*a**3 - 3/4.
(a - 3)*(a + 1)**2/4
Suppose 3*a**2 + 34050 - 2*a**2 - 593*a - 35240 = 0. Calculate a.
-2, 595
Let k = 1223/1047 - -167/5235. Find b, given that 2/15*b**2 - 24/5 - k*b = 0.
-3, 12
Let t(b) = -4160*b - 37437. Let s be t(-9). Find o, given that 20/7*o + 4/7 - o**4 + s*o**2 - 2/7*o**3 = 0.
-1, -2/7, 2
Let m(g) be the second derivative of g**7/84 - 3*g**6/20 - 71*g**5/40 + 3*g**4/8 + 35*g**3/6 + 50*g + 1. Solve m(f) = 0 for f.
-5, -1, 0, 1, 14
Let d(h) = -8*h**2 - 18*h - 4. Let g(c) = c**2 + 13*c - 70. Let x be g(-18). Let l(f) = -f**2 - f - 1. Let o(u) = x*l(u) - 2*d(u). Find r, given that o(r) = 0.
1, 3
Let q(m) be the first derivative of m**3/5 - 243*m**2/10 + 702*m/5 - 280. Determine v, given that q(v) = 0.
3, 78
Suppose 0 = -b + 2*u + 22, 2*b - 2*u - 19 = 23. Find o such that -3 + 5*o - o**2 + 23 + b*o + 6*o**2 = 0.
-4, -1
Suppose -3*n + 831*v - 833*v = -18, 0 = n + 2*v - 18. Find y such that n + 18*y - 33/4*y**2 + 3/4*y**3 = 0.
0, 3, 8
Let v(a) = -9*a**2 + 634*a + 3804. Let m be v(76). Factor 1/4*z**2 + m*z - 17/4.
(z - 1)*(z + 17)/4
Let d(u) = u**3 + 7*u**2 + 8*u + 12. Let i be d(-6). Let g be ((-2)/4)/((-2461)/3210 - 2/(-3)). Factor 3/8*p**4 - 9/8*p**3 + i - 15/8*p**2 + 3/8*p**g - 3/4*p.
3*p*(p - 2)*(p + 1)**3/8
Let q(a) be the third derivative of -1/24*a**6 - 1/24*a**5 + 0*a**4 + 44 + 0*a**3 - 1/84*a**7 - a**2 + 0*a. Factor q(n).
-5*n**2*(n + 1)**2/2
Factor -44*c**2 - 592/3*c + 4/3*c**3 + 0.
4*c*(c - 37)*(c + 4)/3
Let c = -629763 - -629763. Factor c + 5/4*d**2 + 85/2*d.
5*d*(d + 34)/4
Let a(m) be the first derivative of -9/2*m + 11/2*m**3 - 1/2*m**4 - 115 + 7*m**2. Determine l so that a(l) = 0.
-1, 1/4, 9
Let t be 10/4*(-16)/(-70). Suppose -162*d + 171 = -226 + 73. Factor -16/7*n**3 - 16/7*n + 24/7*n**d + 4/7*n**4 + t.
4*(n - 1)**4/7
Suppose -16 - 31 = 47*t. Let m be -6*t*(3 - 2)/21. Suppose 0 + 2/7*n**3 + m*n - 4/7*n**2 = 0. What is n?
0, 1
Let q(f) be the first derivative of f**6/6 + 87*f**5/5 + 651*f**4 + 29008*f**3/3 + 32928*f**2 - 1424. Factor q(v).
v*(v + 3)*(v + 28)**3
Let j = 674 + -657. Let x(k) = -k**3 + 19*k**2 - 33*k - 14. Let o be x(j). Factor -10/9*h - 2/9*h**o + 4/9 + 8/9*h**2.
-2*(h - 2)*(h - 1)**2/9
Let u = 723 + -721. Solve -2251*a**3 - 12*a**u - 8*a**2 + 2270*a**3 + a**4 = 0 for a.
-20, 0, 1
Let k(q) = 71*q**2 + 66*q - 2709. Let y(a) = 230*a**2 + 198*a - 8127. Let i(x) = -13*k(x) + 4*y(x). Factor i(p).
-3*(p - 21)*(p + 43)
Let s(m) be the first derivative of -972*m**5/5 - 513*m**4 - 397*m**3 - 57*m**2 - 3*m - 1598. Factor s(u).
-3*(u + 1)**2*(18*u + 1)**2
Let a be (-3)/(-9) + (-40)/(-15). Suppose 0*l = 3*l - 4*f + 4, 2*l + a*f = 3. Factor -3/2*i**3 + 3/2*i**2 - 1/2*i + l + 1/2*i**4.
i*(i - 1)**3/2
Factor -39366 + 749800*r**2 + 15407*r + 3*r**3 - 284*r + 3588*r - 749320*r**2.
3*(r - 2)*(r + 81)**2
Let l(t) be the third derivative of 0*t + 1/20*t**5 + 0*t**4 - 17*t**2 - 19/280*t**7 + 1/64*t**8 + 0*t**3 + 1/20*t**