third derivative of t**6/300 + 41*t**5/10 + 8405*t**4/4 + 1723025*t**3/3 + 507*t**2. Factor m(d).
2*(d + 205)**3/5
Suppose -3*h - 519 + 565 = -h, 2*p = 5*h - 115. Find q, given that p*q - 18/5 + 2/5*q**2 = 0.
-3, 3
Let t(p) be the third derivative of -4/105*p**7 + 1/84*p**8 + 0*p - 6*p**2 + 2/15*p**5 - 1/30*p**6 + 0*p**3 - 3 + 0*p**4. Let t(k) = 0. Calculate k.
-1, 0, 1, 2
Let n(v) be the third derivative of v**6/30 + 51*v**5/5 - 103*v**4/2 + 310*v**3/3 - 902*v**2. What is u in n(u) = 0?
-155, 1
Let v(a) = -a**2 - 8*a - 12. Let s be v(-4). Let i be s*6/(-36) - (-14)/3. Solve i*g**4 - 4*g**5 + 4*g**4 - 12*g**4 - 8*g + 4*g**2 + 12*g**3 = 0 for g.
-2, -1, 0, 1
Suppose 35*h - 6942 = -6767. Let l(w) be the second derivative of 0 + 1/120*w**h - 22*w + 0*w**2 + 0*w**3 - 1/12*w**4. Factor l(p).
p**2*(p - 6)/6
Let f = 57 + -54. Factor 582*v**f - 1 - 577*v**3 - 15*v**2 - 25*v - 8 + 5*v**4 - 1.
5*(v - 2)*(v + 1)**3
Let i be 5 - (-22)/((-528)/72). Factor -3/4*c**3 + 9/2 + 33/4*c + 3*c**i.
-3*(c - 6)*(c + 1)**2/4
Let q(z) be the second derivative of 25/3*z**4 - 2*z**2 + 1 - 13/5*z**5 + 43*z - 22/3*z**3. Let q(c) = 0. What is c?
-1/13, 1
Let h = -33239/6 - -5540. Let k(m) be the second derivative of -20*m - 55/12*m**4 + 0 - 7/4*m**5 - 25/6*m**3 - h*m**6 + 0*m**2. Determine a so that k(a) = 0.
-5, -1, 0
Let q = -41303 + 41305. Let 1/5*z**4 - 1/5*z**q + 0 + 4/5*z**3 - 4/5*z = 0. Calculate z.
-4, -1, 0, 1
Suppose -3828/17*x - 32/17*x**3 + 702/17*x**2 - 242/17 = 0. What is x?
-1/16, 11
Let q(u) be the second derivative of u**4/48 + 5*u**3/12 - 3*u**2 + 5468*u - 1. Factor q(p).
(p - 2)*(p + 12)/4
Let w(z) be the third derivative of 1/6*z**7 + 0*z**4 + 118*z**2 + 1/40*z**6 - 3/28*z**8 + 0*z**3 + 0*z + 0 - 1/30*z**5. Let w(m) = 0. Calculate m.
-1/4, 0, 2/9, 1
Suppose -486/19 + 2/19*r**2 - 36/19*r = 0. What is r?
-9, 27
Let f be 11/(-44 + (-7854)/(-168)). Solve 2/3*o**f + 0*o - 4*o**5 + 4*o**3 + 0 - 2/3*o**2 = 0 for o.
-1, 0, 1/6, 1
Suppose -100*r + 99*r = -8. Factor 2 - 6*f + 22*f - r + f**3 - 6*f**2 - 5*f.
(f - 3)*(f - 2)*(f - 1)
Suppose 0 = 21*z + 2*z + 207. Let m be 18 + -15 + (-3)/(z/(-3)). Factor 3/4*f - 1/4 + f**m.
(f + 1)*(4*f - 1)/4
Let c(u) = 13*u**3 + 5*u**2 - 689*u - 663. Let i(p) = -12*p**3 - 4*p**2 + 688*p + 664. Let v(r) = 8*c(r) + 9*i(r). Factor v(a).
-4*(a - 14)*(a + 1)*(a + 12)
Let u(b) be the third derivative of -b**6/120 + b**5/60 + 7*b**4/4 - 153*b**2 + 2. Solve u(r) = 0 for r.
-6, 0, 7
Let l(t) be the first derivative of -2*t**3/9 - 33*t**2 - 2380*t/3 + 4542. Factor l(g).
-2*(g + 14)*(g + 85)/3
Let b(z) be the third derivative of -z**5/390 + 353*z**4/52 - 24*z**2 + 10*z. Factor b(x).
-2*x*(x - 1059)/13
Let q(a) = 17*a**2 - 6*a - 8. Let u be q(-1). Suppose 0 = -u*f + 71 - 11. Find h such that 0 - 1/3*h**5 + 0*h + h**3 - 2/3*h**2 + 0*h**f = 0.
-2, 0, 1
Let s be ((-229667)/32407 - 4/(-46)) + 51/7. Suppose 10/7*n + 8/7 + s*n**2 = 0. Calculate n.
-4, -1
Let u(n) be the second derivative of n**5/20 - 125*n**4/4 + 12261*n**3/2 - 301401*n**2/2 + 9*n - 354. Determine o, given that u(o) = 0.
9, 183
Suppose -2*w - 82*y = -85*y - 22, -14 = -4*w + y. Find z, given that -484/7 + 44/7*z - 1/7*z**w = 0.
22
Let w(k) be the third derivative of -k**5/20 + 11*k**4/8 + 40*k**3 - 1819*k**2. Find c such that w(c) = 0.
-5, 16
Let h = -1/1614 - -3101/12105. Let x(p) be the third derivative of h*p**5 - 30*p**2 - 1/30*p**6 - 5/9*p**4 + 0*p + 0 - 4/9*p**3. What is o in x(o) = 0?
-1/6, 2
Find s, given that 22*s + 8*s + 6*s + 58*s + s**2 - 1286 + 1191 = 0.
-95, 1
Let q(w) = -2*w**4 - 19*w**3 + 8*w**2 + 29*w - 1. Let t(a) = -4*a**4 - 28*a**3 + 12*a**2 + 44*a. Let l(d) = -8*q(d) + 5*t(d). Factor l(x).
-4*(x - 2)*(x - 1)**2*(x + 1)
Let c(a) be the third derivative of -a**8/84 - 1042*a**7/105 - 45413*a**6/15 - 1071562*a**5/3 - 10445221*a**4/6 - 10355434*a**3/3 + 188*a**2. Solve c(f) = 0.
-173, -1
Let b(t) be the third derivative of -t**7/6300 + t**6/100 - 27*t**5/100 + t**4/8 + 83*t**2. Let f(h) be the second derivative of b(h). What is n in f(n) = 0?
9
Let o(y) be the first derivative of -y**7/56 + 17*y**6/72 - 5*y**5/12 - 80*y**3/3 - 89. Let s(w) be the third derivative of o(w). Solve s(v) = 0 for v.
0, 2/3, 5
Let i(t) be the third derivative of -199*t**2 - 1/4*t**3 + 0*t - 1/720*t**5 + 1/32*t**4 + 0. Let i(k) = 0. Calculate k.
3, 6
Suppose -1727 = -4*f + h - 500, -624 = -2*f + 4*h. Suppose 252 = -18*m + f. Factor 0*y + 1/4*y**2 + 0*y**m - 1/4*y**4 + 0.
-y**2*(y - 1)*(y + 1)/4
Let q(m) be the second derivative of m**7/63 - 34*m**6/45 - m**5/30 + 17*m**4/9 + 4066*m. What is x in q(x) = 0?
-1, 0, 1, 34
Let m(u) be the first derivative of 9/8*u**2 - 11 + 1/12*u**3 + 2*u. Factor m(z).
(z + 1)*(z + 8)/4
Let u(q) = q**4 - q**3 - q**2. Suppose 3*b + 7 = 10*b. Let f(h) = h**4 - 27*h**3 - 45*h**2 - 20*h. Let k(t) = b*f(t) - 3*u(t). Solve k(r) = 0.
-10, -1, 0
Factor -20/7*u**2 - 138/7*u**3 + 0 + 0*u + 2*u**4.
2*u**2*(u - 10)*(7*u + 1)/7
Let x(h) = h**3 + 5*h**2 - 6*h - 5. Let f be x(-5). Suppose -7*p = -f + 4. Solve 6*d + d**2 - 3*d**p - 12*d - 10*d**2 = 0.
-2, -1, 0
Factor -6*x**3 + 4*x**3 + 1938*x**2 - 3*x**3 - 683*x**2.
-5*x**2*(x - 251)
Let a(v) be the first derivative of v**3 + 1605*v**2 + 858675*v - 2759. Factor a(z).
3*(z + 535)**2
Let v = -196/9 - -793/36. Let x(j) be the first derivative of -3/8*j**2 - 3/4*j + 9 + 3/16*j**4 + v*j**3. Suppose x(d) = 0. Calculate d.
-1, 1
Solve -262/3*u - 44/3*u**2 - 72 + 2/3*u**3 = 0 for u.
-4, -1, 27
Let y be (-114)/76 + 9/(-4)*-1. Let d(p) be the first derivative of -2*p**2 - 1/5*p**5 + y*p**4 - 2 + 0*p**3 + 0*p. Factor d(o).
-o*(o - 2)**2*(o + 1)
Let k = 22/15 - 4/3. Let p(v) be the third derivative of 0*v + 12*v**2 - 1/2*v**4 - 4/3*v**3 + 0 + k*v**5. Find r, given that p(r) = 0.
-1/2, 2
Let a(x) be the third derivative of -x**6/24 - 122*x**5/3 + 359*x**2. Factor a(s).
-5*s**2*(s + 488)
Suppose 2*v = -4*h + 1394, 4*h - 1039 = -5*v + 358. Let r = 348 - h. Suppose 0 + 1/7*o - 1/7*o**3 + r*o**2 = 0. Calculate o.
-1, 0, 1
Determine t so that 1558/13 + 2/13*t**2 + 120/13*t = 0.
-41, -19
Let j(d) = d**2 - d - 16. Let q be j(-6). What is s in -s**3 - 4*s**3 + 10*s**2 + q*s - 20*s + s**3 = 0?
-1/2, 0, 3
Let m(r) = -2*r**2 - 10*r + 15. Suppose 2*y + 4 + 8 = 0. Let k be m(y). Factor -96*l**3 + 0*l**2 + l**2 + 4*l - 96*l**k + 191*l**3 - 4.
-(l - 2)*(l - 1)*(l + 2)
Let s(q) = q**3 - 60*q**2 + 5*q + 69. Let i(c) = c**3 - 57*c**2 + 7*c + 69. Let x(m) = 3*i(m) - 4*s(m). Let x(h) = 0. Calculate h.
-1, 1, 69
Let l(y) be the first derivative of 3*y**5/20 + 21*y**4/8 + 69*y**3/4 + 51*y**2 + 60*y + 3344. Factor l(v).
3*(v + 1)*(v + 4)**2*(v + 5)/4
Let p = 101 + -79. Let h = p + -20. What is s in 18/5*s**h - 14/5*s**3 - 8/5 + 24/5*s = 0?
-1, 2/7, 2
Suppose 6*t - 27 = -3*s, -4*s = 4*t + 1 - 29. Let y(d) be the first derivative of 32/9*d + 2/27*d**3 - 8/9*d**t - 40. Determine m so that y(m) = 0.
4
Let t(n) be the second derivative of -n**5/50 - 1993*n**4/30 - 331336*n**3/5 - 992016*n**2/5 - 6059*n. Determine i so that t(i) = 0.
-996, -1
Factor -10*c**3 + 88*c - 62*c + 11 + 11*c**2 + 6*c**3 + 5*c**3 + 5.
(c + 1)*(c + 2)*(c + 8)
Suppose -1 = 6*y - 3*y - o, -5*o = -20. Suppose 2*r + 3*h = y, 5*h - 3 = -3*r - r. Find a such that 15 + 60*a**2 - 4*a - 15*a**r + 0*a**3 - 10*a**3 - 46*a = 0.
1/2, 1, 3
Let s = -14 - -29. Suppose 4*z - s = -z. What is k in 10 - 7*k**2 - 12*k + z*k**2 + 4*k**2 + 2*k**2 = 0?
1, 5
Suppose 8064 + 2*k**4 - 976*k - 262*k**2 + 129/4*k**3 - 1/4*k**5 = 0. Calculate k.
-9, -7, 8
Suppose 0 = -f + 333 - 333. Let d(j) be the first derivative of -2/65*j**5 + f*j**2 - 8 + 0*j + 1/13*j**4 + 0*j**3. Find l, given that d(l) = 0.
0, 2
Suppose 4*g = 5*g - 20. Suppose 4*p = -0*p + g. Factor a - 17*a**2 - 5*a - p*a**2.
-2*a*(11*a + 2)
Let d(v) be the first derivative of 3*v**4/4 - 42*v**3 + 228*v**2 + 79. Find k such that d(k) = 0.
0, 4, 38
Let h(c) be the third derivative of -3*c**7/455 + 137*c**6/780 - 89*c**5/65 + 28*c**4/39 - 1993*c**2. Suppose h(i) = 0. What is i?
0, 2/9, 7, 8
Let r(s) be the first derivative of 1/15*s**3 + 123 + 9/10*s**2 - 2*s. Suppose r(v) = 0. Calculate v.
-10, 1
Let m be (1 - 10/18)/((-1004)/72 - -14). Let j(h) be the first derivative of -64/5*h - 37 - 17/15*h**3 + m*h**2 + 1/20*h**4. Find c, given that j(c) = 0.
1, 8
Let r(d) be