 34/7*n**2 + 1/7*n**w.
(n + 1)**3*(n + 2)*(n + 3)/7
Let a(m) be the third derivative of -35/24*m**4 + 0 + 0*m + 5*m**3 + 0*m**5 + 48*m**2 + 1/24*m**6. Solve a(k) = 0.
-3, 1, 2
Let n = -5817 - -5819. Let o(y) be the first derivative of -1/6*y**3 + 5/4*y**n - 20 + 0*y. Factor o(i).
-i*(i - 5)/2
Let m be ((-19)/(-2) - 1/2) + 98106/985 + -108. Find x such that -m*x**2 - 21/5*x**3 + 3/5*x**4 + 0 + 21/5*x = 0.
-1, 0, 1, 7
Let c(m) be the second derivative of m**4/72 + 29*m**3/6 + 173*m**2/12 - 2*m - 304. Determine h, given that c(h) = 0.
-173, -1
Let m = -14566 - -14570. Let s(f) be the first derivative of 1/10*f**5 + 0*f + 1/6*f**3 - 21 + 1/4*f**m + 0*f**2. What is a in s(a) = 0?
-1, 0
Let c(u) be the first derivative of -13*u**6/27 - 254*u**5/45 - 133*u**4/6 - 842*u**3/27 - 88*u**2/9 + 32*u/3 + 4230. Solve c(j) = 0.
-4, -1, 3/13
Suppose 9*q = -38 + 56. Factor 2067 + 2*f + 4*f**q - 256*f - 66*f + 4333.
4*(f - 40)**2
Let l be 2 + (3 - 27/15). Let y be 12/10 - 1672/(-2090). Suppose -54/5*b**y + 2*b**3 + 12*b - l = 0. What is b?
2/5, 1, 4
Let p(h) = 15*h**3 - h**2 + 2*h - 1. Let c be p(1). Suppose 0 = -18*b - c + 51. Solve -2/11*k**b - 8/11 + 8/11*k = 0.
2
Let y be 45*(-38)/(-570) - (-3 + 3)/3. Suppose 32/3 + 2/3*x**y + 4/3*x**4 + 40/3*x - 16*x**2 = 0. What is x?
-4, -1/2, 2
Let k(a) be the third derivative of -a**8/1512 - 8*a**7/315 - 16*a**6/45 - 256*a**5/135 - 412*a**2 - a. Factor k(p).
-2*p**2*(p + 8)**3/9
Let x = -145187 - -290375/2. Factor 5/4*y + x - y**4 - y**3 + 1/2*y**2 - 1/4*y**5.
-(y - 1)*(y + 1)**3*(y + 2)/4
Let t(w) be the first derivative of -5*w**3/12 - 395*w**2/2 - 4695*w/4 - 6248. Find m, given that t(m) = 0.
-313, -3
Let v be (-30)/(-20)*5/(10/224). Suppose 5*l - v = -158. Find r, given that -2*r - r**l + 4 + 1/2*r**3 = 0.
-2, 2
Let u(p) = p**2 - 8*p + 15. Let t be u(6). Let q(s) = s**3 - 95*s**2 + 293*s + 384. Let d(f) = 48*f**2 - 147*f - 192. Let l(n) = t*q(n) + 5*d(n). Factor l(m).
3*(m - 8)**2*(m + 1)
Let s(p) be the third derivative of -p**5/510 + 3*p**4/34 + 19*p**3/51 - 619*p**2. Find i such that s(i) = 0.
-1, 19
Factor 162*t + 8*t**3 - 59*t + 0*t**3 - t**5 + 12 - 4*t**4 - 2*t**3 + 32*t**2 - 68*t.
-(t - 3)*(t + 1)**3*(t + 4)
Let a(i) = 9*i + 78 - 9*i**2 - 25*i - 11*i + 129*i. Let b(k) = -5*k**2 + 51*k + 38. Let t(d) = -6*a(d) + 11*b(d). Factor t(u).
-(u + 1)*(u + 50)
Let m(r) be the second derivative of -r**4/48 + 643*r**3/6 - 413449*r**2/2 - 946*r + 3. Suppose m(l) = 0. What is l?
1286
Let i(t) be the second derivative of -t**8/10080 + t**7/945 - t**6/270 + 11*t**4/6 - t**2/2 + t - 12. Let q(s) be the third derivative of i(s). Factor q(z).
-2*z*(z - 2)**2/3
Let o(f) be the third derivative of -f**8/1344 + 31*f**7/168 - 1269*f**6/80 + 8019*f**5/20 + 45927*f**4/4 + 12247*f**2. Factor o(n).
-n*(n - 54)**3*(n + 7)/4
Let p(f) be the third derivative of f**6/300 + 19*f**5/150 + 22*f**4/15 + 1044*f**2. Factor p(u).
2*u*(u + 8)*(u + 11)/5
Suppose -3*c - 5*g = -42, -5*g - 41 = -4*c + 15. Solve 7*d - c*d + 6*d**3 - 15 + 21*d + 2*d - 39*d**2 + 32*d = 0 for d.
1/2, 1, 5
Let x(n) be the first derivative of -3*n**2 + 8*n - 2/3*n**3 - 22. Factor x(d).
-2*(d - 1)*(d + 4)
Suppose -3*o + 18 = 3*u, -4*o + 22 = -4*u + 14. Suppose -58 = u*q - 58. Factor q + 0*y + 0*y**2 + 1/2*y**4 + 0*y**3 - 1/4*y**5.
-y**4*(y - 2)/4
Factor -11/2*f + 1/2*f**2 + 14.
(f - 7)*(f - 4)/2
Suppose 135*z = -174*z + 565*z + 658*z. Factor 0*k + 2*k**3 + z*k**2 - 1/4*k**4 + 0.
-k**3*(k - 8)/4
Let a = -64 - -70. Let h be (2/a)/(2/18). Factor -x - 4 + 10*x**h - 4*x**2 - 9*x**3 + 8*x**2.
(x - 1)*(x + 1)*(x + 4)
Factor -363045*h + 2*h**4 - 1484*h**3 + 355837*h + 7212*h**2 + 2402 - 924*h**3.
2*(h - 1201)*(h - 1)**3
Let x(d) be the first derivative of 4*d**5/5 + 40*d**4 - 56*d**3 - 80*d**2 + 164*d - 770. Factor x(g).
4*(g - 1)**2*(g + 1)*(g + 41)
Let y(m) be the first derivative of m**3/6 + 925*m**2/2 + 855625*m/2 - 749. Suppose y(p) = 0. Calculate p.
-925
Let b(v) be the second derivative of 1/10*v**5 + 12*v - 3 + 1/30*v**6 - 1/3*v**4 + 0*v**2 - 4/3*v**3. Suppose b(g) = 0. Calculate g.
-2, 0, 2
Let a(q) be the third derivative of q**7/840 + q**6/120 - q**5/30 + 19*q**3/6 + 81*q**2. Let n(u) be the first derivative of a(u). Solve n(v) = 0 for v.
-4, 0, 1
Let 1262*l + 163130829*l**2 + 3600 + 528*l - 163132634*l**2 + 5*l**3 = 0. Calculate l.
-1, 2, 360
Suppose 10248700*q**4 - 1066115*q**2 + 17501440*q**3 - 4906333*q**2 - 56 - 8 + 38912*q = 0. What is q?
-2, 2/605, 2/7
Factor -199*l**2 + 392*l**3 + 74*l**2 - 387*l**3 - 143*l**2 - 132*l**2.
5*l**2*(l - 80)
Let o(q) = -q**4 - 205*q**3 - 2256*q**2 + 11645*q - 12538. Let m(f) = 4*f**4 + 616*f**3 + 6768*f**2 - 34936*f + 37616. Let d(a) = 3*m(a) + 8*o(a). Factor d(b).
4*(b - 2)**2*(b + 28)**2
Suppose r = 2*q - 8, 4*q + 3*r = 15 - 19. Let 160 - 759*f + 10*f**3 - 495*f**q + 1275*f**2 - 401*f - 65*f**4 = 0. Calculate f.
-4, 2/13, 2
Let c(i) be the second derivative of 9/16*i**4 + 21/160*i**5 + 5/4*i**3 - 7*i + 6 + 1/80*i**6 + 3/2*i**2. Factor c(a).
3*(a + 1)*(a + 2)**3/8
Let h(s) = 7*s**2 + 60*s - 91. Let o(b) = 20*b**2 + 156*b - 272. Let w(f) = -17*h(f) + 6*o(f). Factor w(u).
(u - 85)*(u + 1)
Let w = -510 + 520. Let r be 1260/(-147) + -1 + w. Determine f so that -1/7*f + 3/7 + 1/7*f**3 - r*f**2 = 0.
-1, 1, 3
Factor -2*w**2 + 2/3*w + 2 - 2/3*w**3.
-2*(w - 1)*(w + 1)*(w + 3)/3
Let s = 71361/86110 - -36/3815. Let k = s - -3/158. Factor 15/7*a**2 + 9/7*a**3 + 0 + k*a - 3/7*a**4 - 3/7*a**5.
-3*a*(a - 2)*(a + 1)**3/7
Suppose -8/5 - 49/5*m**4 + 102/5*m**2 - 49/5*m**3 + 4/5*m = 0. What is m?
-2, -2/7, 2/7, 1
Suppose 115*h**2 - 5*h**5 + 225*h**3 + 10*h**4 + 2*h**4 + 93*h**4 = 0. What is h?
-1, 0, 23
Let f(n) = 56*n**2 + 2. Let s be f(1). Let o = s - 286/5. Determine b so that 4/5*b**4 + o - 8/5*b**2 + 2/5*b**5 - 4/5*b**3 + 2/5*b = 0.
-2, -1, 1
Factor -1540*w + 1894612*w**2 + 79*w**3 - 5*w**4 + 111*w**3 - 1894757*w**2 + 2220.
-5*(w - 37)*(w - 2)**2*(w + 3)
Suppose 4*j = -k - 24, 0 = -77*k + 80*k - 3*j - 3. Let f be 18/36*(0 - k/6). Let 0 + 1/3*y**5 + 0*y**2 + 0*y + 0*y**4 - f*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 3*m = -3*o, 0 = -4*m + 3*o + 258 - 244. Find k such that -1/7*k**m + 31/7 - 30/7*k = 0.
-31, 1
Suppose 0 = 3*n + 11 - 23, 5 = -5*r + 5*n. Let z(p) be the first derivative of -15/2*p**2 + 0*p + 5/3*p**r + 11. Solve z(q) = 0.
0, 3
Let p(t) be the second derivative of 1/39*t**4 + 89*t - 21/13*t**2 + 41/39*t**3 + 0. Factor p(h).
2*(h + 21)*(2*h - 1)/13
Factor -1/4*w**3 - 193/4*w**2 + 96 - 95/2*w.
-(w - 1)*(w + 2)*(w + 192)/4
Suppose 135*c - 67 - 608 = 0. Suppose -8*g**2 - 6*g**c + 143/6*g**3 + 0 + 2*g**4 + 2/3*g = 0. What is g?
-2, 0, 1/6, 2
Let v(s) be the second derivative of -s**7/84 - 8*s**6/15 - 111*s**5/20 + 68*s**4/3 - 289*s**3/12 - 29*s + 14. Find a, given that v(a) = 0.
-17, 0, 1
Let h(m) = -3*m**2 + 17*m + 6. Let s(c) = -7*c**2 + 35*c + 15. Let b be (-4)/2*(-20 + 19). Let z(p) = b*s(p) - 5*h(p). Factor z(x).
x*(x - 15)
Let d(w) be the second derivative of w**6/10 - 183*w**5/20 - 33*w**4/2 + 122*w**3 + 372*w**2 + 4283*w. Let d(k) = 0. Calculate k.
-2, -1, 2, 62
Let d = 206626/3 - 137749/2. Determine h so that -1/3*h - 1/2*h**3 + 1/6*h**5 - d*h**2 + 1/6*h**4 + 0 = 0.
-1, 0, 2
Let h(z) be the third derivative of z**5/120 + 31*z**4/6 + 3844*z**3/3 + 3041*z**2. Find c such that h(c) = 0.
-124
Solve -208 - 2*v**5 - 244*v + 176*v**2 + 2693634*v**4 + 248*v**3 - 2*v**5 - 2693602*v**4 = 0.
-4, -1, 1, 13
Let j(o) be the third derivative of -1/240*o**5 + 0*o - 7/48*o**4 + 0*o**3 + 216*o**2 + 0. Factor j(y).
-y*(y + 14)/4
Let r(l) be the second derivative of -l**7/42 - 53*l**6 - 635*l**5/2 - 2380*l**4/3 - 2115*l**3/2 - 793*l**2 + 7955*l. Factor r(j).
-(j + 1)**4*(j + 1586)
Determine i so that 5*i**4 - 450*i**2 + 3*i**3 + 13*i - 550*i**2 + 979*i**2 = 0.
-13/5, 0, 1
Let w(r) be the first derivative of 3/2*r**2 - 126 + 3/4*r**4 - 2*r**3 + 0*r. Determine k so that w(k) = 0.
0, 1
Suppose -5*g - 14*m + 9*m + 120 = 0, -5*g + 93 = -4*m. Factor 10*w - 64*w + 39*w**3 + 3*w**5 + 0*w**4 + 3*w**2 + 6*w**2 - g*w**4.
3*w*(w - 3)**2*(w - 2)*(w + 1)
Let k be 2/4 - (-14)/4. Let r = -60 - -63. Determine j, given that -2*j + 2*j**r - 18*j**k + 16*j**4 + j**2 + j**2 = 0.
-1, 0, 1
Let h be (-30)/9*(-6)/(-2). Let l(q) = q - 1. Let b(n) = n**2 + 10*n - 5. Let r = 