2 + 2/3*i**5 = 0?
-3, 0, 1
Let g be (6/(-5) + 2)/(7*(-16)/(-420)). Suppose 15/4*w - g + 9/8*w**2 = 0. What is w?
-4, 2/3
Suppose 209*n + 799*n - 4278 = -418*n. Factor -4/3*d**n + 0*d + 0 - 4*d**2.
-4*d**2*(d + 3)/3
Let b(m) be the third derivative of m**7/70 + 461*m**6/40 + 17433*m**5/5 + 410670*m**4 - 13287456*m**3 - 2*m**2 - 3*m - 5. Factor b(c).
3*(c - 7)*(c + 156)**3
Let v(z) be the first derivative of 1/2*z**3 + 9/8*z**4 + 0*z**2 + 0*z + 9/10*z**5 - 44 + 1/4*z**6. Factor v(w).
3*w**2*(w + 1)**3/2
Let x(d) be the first derivative of 7225*d**6/6 + 2941*d**5 + 135*d**4/2 - 500*d**3/3 - 20*d**2 + 48. Determine o, given that x(o) = 0.
-2, -2/17, 0, 1/5
Suppose -87*c**4 - 21*c**4 + 396519*c**2 - 5*c**3 - 222 + 3*c**5 - 115*c**3 - 396189*c**2 + 117*c = 0. Calculate c.
-2, -1, 1, 37
Let b(g) be the third derivative of g**5/120 + 19*g**4/24 - 13*g**3/4 + 1727*g**2. Factor b(j).
(j - 1)*(j + 39)/2
Let q(y) = -2*y**4 + 45*y**3 + 160*y**2 + 14*y - 7. Let i(t) = t**4 - 22*t**3 - 79*t**2 - 8*t + 4. Let g(u) = -7*i(u) - 4*q(u). Factor g(d).
d**2*(d - 29)*(d + 3)
Factor 2/9*j**3 + 0 + 4/3*j**2 - 1/9*j**5 - 4/9*j**4 - j.
-j*(j - 1)**2*(j + 3)**2/9
Find y, given that 16/3*y + 16 - 17*y**2 + y**4 - 17/3*y**3 + 1/3*y**5 = 0.
-4, -3, -1, 1, 4
Factor 323761/8*h + 0 + 569/4*h**2 + 1/8*h**3.
h*(h + 569)**2/8
Let q(f) be the second derivative of f**7/28 + 21*f**6/20 + 27*f**5/5 + 17*f**4/2 + 18*f + 9. Suppose q(o) = 0. What is o?
-17, -2, 0
Let -174 - 150*t**2 - 189*t**2 - 234 - 644*t - 16*t**3 + 87*t**2 = 0. What is t?
-51/4, -2, -1
Let p = 1437 - 1437. Let n(d) be the third derivative of p + 0*d + 5/24*d**6 - 17/12*d**5 - 18*d**2 + 0*d**3 + 5/4*d**4. Solve n(a) = 0 for a.
0, 2/5, 3
Let c(i) = -66*i + 30. Let s be c(-20). Let -2757 - 222*y + 146*y**2 - 77*y**2 - s - 72*y**2 = 0. Calculate y.
-37
Let x(q) be the third derivative of -q**6/960 - q**5/40 + 9*q**4/64 + 81*q**3/8 - 899*q**2 - 1. Determine i, given that x(i) = 0.
-9, 6
Let z(b) be the first derivative of b**5/5 + b**4/4 + b**2/2 - b - 6. Let h(w) = -5*w**4 + 2*w**3 + 3*w**2 - 3*w + 3. Let p(k) = -2*h(k) - 6*z(k). Factor p(o).
2*o**2*(o - 3)*(2*o + 1)
Let s(a) be the second derivative of a**4/6 - 37*a**3/6 + 171*a**2/2 + 6163*a. Factor s(x).
(x - 9)*(2*x - 19)
Let x(w) = -31*w**3 + 12*w**2 - 81*w + 70. Let g(o) = 5*o**3 + o**2 - o. Let s(u) = 6*g(u) + x(u). Factor s(f).
-(f - 10)*(f - 7)*(f - 1)
Let h(n) be the third derivative of n**7/6720 - 7*n**6/1920 + 3*n**5/160 - n**4/12 - 4*n**3/3 + 39*n**2. Let o(d) be the second derivative of h(d). Factor o(x).
3*(x - 6)*(x - 1)/8
Factor -9587*y**2 + 9585*y**2 + 445 + 46*y + 51.
-2*(y - 31)*(y + 8)
Let w(a) be the second derivative of a**7/840 - a**6/180 - a**5/120 + a**4/12 + 163*a**3/6 - 36*a. Let o(f) be the second derivative of w(f). Factor o(h).
(h - 2)*(h - 1)*(h + 1)
Let n(d) be the third derivative of 0 - 1/20*d**5 + 15/2*d**3 + 0*d + 1/4*d**4 + 78*d**2. Factor n(v).
-3*(v - 5)*(v + 3)
Let i(c) be the second derivative of 1/24*c**4 + 19/6*c**3 - 36*c + 361/4*c**2 - 1. Find m, given that i(m) = 0.
-19
Factor -2174 + 5*s**2 + 1444 - 2032 - 488 - 5*s.
5*(s - 26)*(s + 25)
Let r = -81 + 487/6. Let d(h) be the first derivative of h**2 - 2*h - 11 + r*h**3 - 1/8*h**4. Find c such that d(c) = 0.
-2, 1, 2
Let z be (-1 + 1)/1 + 13 + -11. Factor 30*q - 126*q - z - 32 - 46 - 36*q**2 - 4*q**3.
-4*(q + 2)**2*(q + 5)
Let i(p) = 4. Let j(z) = z**2 - 628*z + 98604. Let o(v) = -6*i(v) + 3*j(v). Factor o(t).
3*(t - 314)**2
Let w(v) be the third derivative of -v**8/112 - 23*v**7/70 - 71*v**6/20 - 6*v**5 + v**2 - 351. Suppose w(b) = 0. Calculate b.
-12, -10, -1, 0
Let n(r) be the second derivative of r**4/24 + 31*r**3/12 - 8*r**2 + 349*r. Solve n(m) = 0.
-32, 1
Suppose 6*k = 87 - 33. Let g(d) = 2*d**3 - 3*d**2 - 2*d + 4. Let y be g(3). Factor 5*c + k*c - 13*c + y*c**2 + 4*c.
5*c*(5*c + 1)
Let j(k) be the third derivative of 0*k - 1/480*k**6 + 5/96*k**4 + 16*k**2 + 0*k**3 - 1/60*k**5 + 2. Factor j(w).
-w*(w - 1)*(w + 5)/4
Let k = 812 - -411. Let h = k - 3668/3. Factor -2 - 1/3*g + h*g**2.
(g - 3)*(g + 2)/3
Let x(s) be the third derivative of s**7/525 + s**6/100 - s**4/15 - 723*s**2. Factor x(r).
2*r*(r - 1)*(r + 2)**2/5
Let b = 58 + -40. Find y, given that 22*y**3 + 4 + 5*y**4 + 3*y**4 + b*y - 3*y**5 - y + 4*y**5 + 28*y**2 = 0.
-4, -1
Factor 28*u**3 - 2232*u + 1685 - 9*u**4 + 15*u**2 + 26*u**3 + 475 - 24*u**4 + 36*u**4.
3*(u - 5)*(u - 1)*(u + 12)**2
Let p(i) = -i**2 - 2*i. Let v(r) be the first derivative of r**4 - 10*r**3/3 + 26*r**2 - 16*r - 126. Let j(n) = -10*p(n) - v(n). Suppose j(m) = 0. What is m?
1, 2
Let d(i) be the first derivative of -i**8/9240 - i**7/770 + 7*i**6/1980 - 41*i**3/3 + 2*i - 24. Let l(a) be the third derivative of d(a). Factor l(n).
-2*n**2*(n - 1)*(n + 7)/11
Let h(t) be the second derivative of 578*t**6/15 - 102*t**5 + 157*t**4/3 + 40*t**3 + 8*t**2 + 2180*t. Determine w so that h(w) = 0.
-2/17, 1
Let f = 15411 - 15408. Determine j, given that -16/5*j**2 - 2/5*j + 2/5*j**f + 16/5 = 0.
-1, 1, 8
Solve -132/17*g**2 - 2/17*g**4 + 0*g + 2*g**3 + 0 = 0.
0, 6, 11
Let t = -160911/5 - -32183. Factor 0 + 2/5*c**3 + 2/5*c - t*c**2.
2*c*(c - 1)**2/5
Let o(l) be the third derivative of l**5/60 - 33*l**4/2 + 395*l**3/6 - 28*l**2 - 16*l + 2. Factor o(q).
(q - 395)*(q - 1)
Let w(f) be the second derivative of f**4/60 - 2*f**3/15 + 3*f**2/10 - 1041*f. Factor w(o).
(o - 3)*(o - 1)/5
Suppose 0 = -l + 2*h + 6, -118*l + h - 4 = -121*l. Factor 0 + 7/3*o - 1/3*o**l.
-o*(o - 7)/3
Let g = -1133813/280 + 12148/3. Let c(u) be the third derivative of 0*u + 25/24*u**3 + 0 - 29*u**2 - 1/40*u**6 + 23/120*u**5 + g*u**7 - 5/8*u**4. Factor c(o).
(o - 5)**2*(o - 1)**2/4
Let h(b) be the second derivative of b**7/27720 - b**6/180 + 11*b**5/30 - 91*b**4/12 - b + 40. Let p(v) be the third derivative of h(v). Factor p(o).
(o - 22)**2/11
Suppose -17*g = -5*g + 11*g. Suppose g = -3*y - 2*i + 7, 2*y - 8 + 1 = i. Let 2/11*f**4 + 50/11 + 12/11*f**2 - 80/11*f + 16/11*f**y = 0. What is f?
-5, 1
Let l(m) be the third derivative of m**5/20 - 34*m**4 - 273*m**3/2 - 661*m**2. Find z such that l(z) = 0.
-1, 273
Suppose -15859*n + f = -15864*n + 35, 5*n - 2*f - 65 = 0. Let 3/2*l**5 + 27/2*l + n*l**4 + 21*l**3 + 24*l**2 + 3 = 0. Calculate l.
-2, -1
Suppose 732 = 442*y + 491 - 1085. Factor -3/2*g**y + 0*g**2 - 3 + 9/2*g.
-3*(g - 1)**2*(g + 2)/2
Let z = -1285180 - -1285183. Factor -28*g**z - 2592/5 - 2306/5*g**2 + 1008*g - 2/5*g**4.
-2*(g - 1)**2*(g + 36)**2/5
Suppose 0 = 784*u - 781*u. Let a(o) be the third derivative of 0 - 1/16*o**4 + 17*o**2 - 1/120*o**5 + u*o + 1/3*o**3. Let a(s) = 0. What is s?
-4, 1
Let q(u) be the second derivative of u**7/3780 - u**6/1080 - u**5/90 - u**4/6 + 3*u**2 - 177*u. Let g(l) be the third derivative of q(l). Solve g(y) = 0 for y.
-1, 2
Let h be 2 - (-1 - (-3)/3). Factor 55 - 3*z**3 - 6*z**h + 24*z**2 + 2*z**4 - 51 - 14*z - 7*z**3.
2*(z - 2)*(z - 1)**3
Let q(j) = -j**4 - 3*j + 5*j - j**3 + 37*j**2 - 38*j**2. Let x(m) = 7*m**4 + 19*m**3 + 23*m**2 + 2*m. Let t(y) = 3*q(y) + x(y). Determine i so that t(i) = 0.
-2, -1, 0
Factor 14/19 - 2/19*m**2 + 12/19*m.
-2*(m - 7)*(m + 1)/19
Suppose 12*z - 23 = 13. What is s in -292 + 292 - 4*s**5 - 10*s**3 + 16*s**4 - 2*s**z = 0?
0, 1, 3
Suppose 3*k - a = 18, 599*a = k + 597*a - 16. Let p(h) be the third derivative of 0*h**3 - 1/30*h**k + 0*h + 1/50*h**5 + 0 - 32*h**2. Factor p(t).
2*t*(3*t - 2)/5
Let n = -5840 - -5862. Let v(k) be the first derivative of -1/16*k**4 + 1/6*k**3 - 1/2*k + 1/8*k**2 + n. What is w in v(w) = 0?
-1, 1, 2
Let y(s) be the first derivative of -2*s**3/9 + 29*s**2/3 + 20*s + 483. Let y(k) = 0. What is k?
-1, 30
Let h(w) be the second derivative of 25*w**7/7 - 15*w**6/2 + 21*w**5/5 - 3*w**4/4 + 49*w. Solve h(n) = 0.
0, 1/5, 3/10, 1
Let w(l) be the third derivative of l**7/63 - 31*l**6/60 - 19*l**5/45 - 2212*l**2. Factor w(j).
2*j**2*(j - 19)*(5*j + 2)/3
Let c = -43 - -323. Let i be (-18)/48 - (-145)/c. Factor -i*j**2 - 1/7*j**3 + 0 + 0*j.
-j**2*(j + 1)/7
Let b(l) be the third derivative of -l**6/240 - 69*l**5/20 - 4761*l**4/4 - 219006*l**3 + 2*l**2 + 4*l + 1. Find k, given that b(k) = 0.
-138
Let t(u) be the first derivative of -u**5/20 + 41*u**4/16 - 133*u**3/4 - 441*u**2/8 - 343. Factor t(f).
-f*(f - 21)**2*(f +