 + 0. Let i(r) = 0. What is r?
-7, 1
Let s = -479690 + 3357831/7. Factor 6/7*k**2 - 4/7*k + s + 1/7*k**4 - 4/7*k**3.
(k - 1)**4/7
Let a(f) be the first derivative of 5*f**4/4 + 25*f**3/3 - 420*f**2 + 3060*f + 73. Suppose a(i) = 0. What is i?
-17, 6
What is o in 124 + 887*o + 547*o**2 + 505*o + o**3 + 421 - 301*o = 0?
-545, -1
Let h = 370/201 - -997/1072. Let r(t) be the third derivative of -49/12*t**3 - h*t**4 - 20*t**2 + 0 - 1/80*t**6 + 41/120*t**5 + 0*t. Factor r(d).
-(d - 7)**2*(3*d + 1)/2
Let s = -1494 - -1499. Suppose s*p = -3*m - 10, 4*m - 10 = 3*m + 5*p. Find z, given that 8/7*z**2 + m*z + 0 - 2/7*z**3 = 0.
0, 4
Let m(k) = -7*k - 103. Let a be m(-15). Let j = -26056 + 26056. Solve -2/3*q - 8*q**3 + 13/3*q**a - 4/3*q**5 + 17/3*q**4 + j = 0.
0, 1/4, 1, 2
Let v(x) be the first derivative of 7*x**4/20 + 3*x**3/5 - x**2 + 4207. Factor v(n).
n*(n + 2)*(7*n - 5)/5
Let w(k) be the second derivative of 1/60*k**6 + k - 7/12*k**3 - 79 + 0*k**2 + 7/40*k**5 - 1/24*k**4. Factor w(z).
z*(z - 1)*(z + 1)*(z + 7)/2
Let k(l) be the first derivative of -1/2*l**6 + 234 + 7*l**3 + 3/4*l**4 + 0*l + 0*l**2 - 21/5*l**5. What is b in k(b) = 0?
-7, -1, 0, 1
Let z(m) be the third derivative of m**8/28 - 32*m**7/35 - 71*m**6/40 + 49*m**5/20 + 35*m**4/8 - 17*m**3/2 - 1790*m**2. Let z(v) = 0. Calculate v.
-1, 1/2, 17
Let s(o) be the first derivative of -o**6/3780 + 17*o**5/1260 - 4*o**4/63 - 21*o**3 + 108. Let w(z) be the third derivative of s(z). Factor w(q).
-2*(q - 16)*(q - 1)/21
Let a(f) = -f**2 + 1014*f - 250000. Let x(y) = -y. Let o(h) = -3*a(h) - 42*x(h). Factor o(b).
3*(b - 500)**2
Suppose 1282/7*q - 320/7 - 8/7*q**2 = 0. What is q?
1/4, 160
Suppose 125*w + 5*w**5 - 165 + 210*w**2 - 45*w**4 - 291*w**3 + 356*w**3 - 195*w**3 = 0. Calculate w.
-3, -1, 1, 11
Let n(k) be the second derivative of -k**6/21 + 38*k**5/35 - 25*k**4/7 + 92*k**3/21 - 13*k**2/7 + 983*k. Let n(l) = 0. Calculate l.
1/5, 1, 13
Let m = -23322 - -139933/6. Let c(v) be the second derivative of 7*v + 0*v**2 + 0 + 1/60*v**5 + 1/2*v**3 - m*v**4. Solve c(h) = 0.
0, 3
Let k(p) be the third derivative of p**7/210 - 3*p**6/40 + 7*p**5/20 + p**4/24 - 5*p**3 + 6*p**2 + 211. Let k(t) = 0. Calculate t.
-1, 2, 3, 5
Let o = 82 - 48. Suppose o*j + 6*j + 7*j**2 - 7*j**2 - 4*j**2 = 0. What is j?
0, 10
Let g(a) = -11*a + 357. Let d(c) = -120*c + 3930. Let p(m) = 4*d(m) - 45*g(m). Let s be p(23). Factor 0*f**2 + 0 + 2/9*f**5 + s*f + 2/9*f**4 + 0*f**3.
2*f**4*(f + 1)/9
Let t be (13/(39/(-22)))/((-78)/216). Find b, given that -1452/13*b**4 + 2662/13*b**5 + 0 - 16/13*b**2 + t*b**3 + 0*b = 0.
0, 2/11
Let z(k) be the second derivative of -2/5*k**4 + 0 - 1/10*k**5 + 76*k - 3/5*k**3 - 2/5*k**2. Find o, given that z(o) = 0.
-1, -2/5
Let u(v) be the second derivative of -1/12*v**4 - 1/2*v**3 + 60*v + 0 + 2*v**2. Find a, given that u(a) = 0.
-4, 1
Suppose 7*i - 160 = -3*i. Let l be i/72 + 32/18. Factor -4*n - 4*n**2 + 4*n**4 + 3*n**2 + 4*n**3 + 0*n**2 - 3*n**l.
4*n*(n - 1)*(n + 1)**2
Solve 374 - 170*d + 6*d**2 - 14*d**2 + 102 + 23*d**2 - 1 = 0.
5, 19/3
Let f(l) = -5*l**2 + 104*l + 480. Let w(j) = 3*j**2 - 52*j - 240. Let d(k) = -5*f(k) - 9*w(k). Let d(z) = 0. What is z?
-20, -6
Let k(v) be the first derivative of 2*v**5/35 + 1531*v**4/14 + 1170448*v**3/21 - 586756*v**2/7 - 5962. Suppose k(y) = 0. Calculate y.
-766, 0, 1
Let q = -2/1411931 - -11295490/29650551. Find s such that -8/21*s**3 - 8/21 + 2/21*s**4 + q*s + 2/7*s**2 = 0.
-1, 1, 2
Let v be -6 - (1/9)/(70/(-3990)). Let f(x) be the first derivative of 13 + 1/5*x + 3/5*x**2 + v*x**3. Factor f(b).
(b + 1)*(5*b + 1)/5
What is r in -1/5*r**2 + 11/5 + 2*r = 0?
-1, 11
Suppose -5*l = -5*n + 15, 4*n - 33 = -5*l + 6. Let w(a) = -2*a + 14. Let r be w(n). Factor v + 173*v**r + 7*v**2 - 6*v - 10.
5*(4*v - 1)*(9*v + 2)
Let d(h) = 29*h**2 + 9*h - 16. Let v = -78 + 92. Let s be (v - 8)*(1 + (-10)/6). Let w(l) = 320*l**2 + 100*l - 175. Let u(x) = s*w(x) + 45*d(x). Solve u(g) = 0.
-1, 4/5
Let l(h) be the first derivative of -h**6/135 + h**4/9 - 8*h**3/27 + h**2/3 + 87*h + 82. Let c(j) be the first derivative of l(j). Factor c(g).
-2*(g - 1)**3*(g + 3)/9
Let b = 3884403/130 + -29880. Let d(c) be the third derivative of -21*c**2 + 0 + 0*c + 4/13*c**3 + 14/39*c**4 + b*c**5. Suppose d(w) = 0. Calculate w.
-6, -2/9
Let l(y) be the first derivative of 675/14*y**2 - 53/21*y**3 + 46 + 1/28*y**4 + 729/7*y. Factor l(q).
(q - 27)**2*(q + 1)/7
Suppose 171 = 447*h - 723. Factor 2*u**h + 6/5 - 14/5*u - 2/5*u**3.
-2*(u - 3)*(u - 1)**2/5
Let y = 4 - 2. Suppose -5*h + 3*k + 24 = 0, 3*k = 2*h - 14 - 1. Find q, given that 707*q**2 + q + h*q - 709*q**y = 0.
0, 2
Let u = -26907/2 + 13455. Let f(k) be the first derivative of -k**3 + 6*k + 5 + u*k**2. Suppose f(a) = 0. What is a?
-1, 2
Let a(n) be the first derivative of -2*n**3 - 1066*n**2 + 1424*n + 2538. Factor a(i).
-2*(i + 356)*(3*i - 2)
Let l be -4 + -7 + 9 + 4. Solve -2*c**l + 10*c - 34*c - 452 + 478 = 0 for c.
-13, 1
Let q(f) be the third derivative of f**5/180 + 17*f**4/24 + 25*f**2 - 13. Let q(m) = 0. What is m?
-51, 0
Let l(p) be the third derivative of 19*p**5/330 - p**4/33 - 37*p**2 + 46*p. Find q such that l(q) = 0.
0, 4/19
Let o = -3/17788 + 133413/17788. Let s(w) be the first derivative of o*w**2 + 3/5*w**5 - 3/4*w**4 + 9 - 3*w**3 - 6*w. Factor s(t).
3*(t - 1)**3*(t + 2)
Factor 20*v**3 + 10*v**3 - v**5 + 4404*v + 4*v**4 - 36*v**2 - 4593*v.
-v*(v - 7)*(v - 3)*(v + 3)**2
Suppose 3*c = -3*x + 45, -4*c + 4*x = 3*x - 80. Let -25*o**2 - 12 + 17*o + 4*o + c*o**2 - 3*o**3 = 0. Calculate o.
-4, 1
Let h be -10 + (4626/257 - (2 - -4)). Find r, given that -156/7 + 3*r**h - 540/7*r = 0.
-2/7, 26
Factor 99434735649*k - 288351495024*k - 1537401108306 - 3366750*k**3 - 3*k**5 - 1127861250*k**2 - 2732831778128 - 5025*k**4 - 8387189991691.
-3*(k + 335)**5
Factor -2/9*w**2 + 4696/9*w - 2756552/9.
-2*(w - 1174)**2/9
Let p(s) be the second derivative of s**7/112 + s**6/80 - 3*s**5/20 - 3*s**4/8 + 43*s + 4. Factor p(h).
3*h**2*(h - 3)*(h + 2)**2/8
Let h(r) be the second derivative of r**7/210 - 46*r**6/75 + 481*r**5/25 + 736*r**4/5 + 1536*r**3/5 - 14*r + 10. Factor h(y).
y*(y - 48)**2*(y + 2)**2/5
Let h(z) be the second derivative of z**7/105 + 23*z**6/75 - 3*z**5/50 - 67*z**4/30 + 46*z**3/15 + 16*z + 21. Let h(q) = 0. Calculate q.
-23, -2, 0, 1
Suppose -14629 - 17641 = 35*b. Let o = 930 + b. Factor -2/3*u**4 - 4*u**3 - o*u**2 - 16/3*u + 0.
-2*u*(u + 2)**3/3
Let a(y) be the first derivative of -15*y + 85/2*y**2 - 15*y**3 - 54 - 25/4*y**4. Factor a(l).
-5*(l - 1)*(l + 3)*(5*l - 1)
Factor -162/7 + 2/7*p**3 + 18/7*p**2 - 18/7*p.
2*(p - 3)*(p + 3)*(p + 9)/7
Let s be (2 - 0)*6/3. Suppose -s*g - 3*r = -31, -3*g - 6*r + 27 = -3*r. Factor 0*l**2 + 0*l + 1/5*l**5 + 0*l**3 + 0 + 2/5*l**g.
l**4*(l + 2)/5
Let u(n) be the third derivative of n**6/120 + 7*n**5/30 - 35*n**4/24 - 8*n**3 - n**2 + 207*n. Factor u(i).
(i - 3)*(i + 1)*(i + 16)
Let s(q) be the first derivative of q**4/4 - 7*q**3/3 - 5*q**2/2 + 38*q - 237. Let g be s(7). Factor 18/5*j + 4*j**2 + 4/5 + 6/5*j**g.
2*(j + 1)*(j + 2)*(3*j + 1)/5
Let n be (-927)/103 + (0 - -11). Let 40*b**n + 39*b - 10*b**3 + 11*b**3 + 5*b**3 - 5*b**3 = 0. Calculate b.
-39, -1, 0
Let h = -23240 - -162688/7. Solve 2/7*a**4 - 8/7*a + 6/7*a**2 + 8/7*a**3 - h = 0.
-2, -1, 1
Suppose 3*k = o - k + 11, 0 = o + 2*k - 13. Suppose -3*p - 2*p**2 - 7*p - o - 3 = 0. Calculate p.
-4, -1
Let g be 5408/54*(-3720)/(-2480). Let g - 104/9*w + 2/9*w**2 = 0. Calculate w.
26
Let q(w) be the second derivative of -39*w**7/7 + 571*w**6/3 + 7813*w**5/45 + 1546*w**4/27 + 200*w**3/27 - w - 638. Find x such that q(x) = 0.
-2/9, -2/13, 0, 25
Suppose -j - 2*v = -0*v + 5, 3*v = -4*j. Factor -71*m**2 + 216 - j*m**4 + 6*m**2 - m**2 - 180*m + 33*m**3.
-3*(m - 6)**2*(m - 1)*(m + 2)
Let q(z) be the first derivative of -4*z + 74 + 1/4*z**5 + 3/2*z**2 + 14/3*z**3 + 33/16*z**4. Find f such that q(f) = 0.
-4, -2, -1, 2/5
Let n(r) be the second derivative of 9/22*r**4 - 48 - r - 2/11*r**2 - 25/33*r**3. Let n(x) = 0. Calculate x.
-2/27, 1
Suppose k - 441*m = -444*m - 5, 2*m = 5*k - 26. Let f(w) be the third derivative of -1/420*w**5 + 0 + 36*w**2 + 0*w + 2/21*w**3 - 1/56*w**k. Factor f(i).
-(i - 1)*(i + 4)/7
Solve 0 + 5*b**3 + 0*b + 1/2*b**4 + 8*b**2 = 0.
-8, -2, 0
Let l(k) be t