8*j**4 + 1/480*j**6 + 0 + 0*j - 1/80*j**5 + 56*j**2. Solve m(x) = 0.
0, 1, 2
Let f(c) be the second derivative of 18*c**2 + 1/12*c**5 + 0*c**4 + 26*c + 0*c**3 + 0. Let a(r) be the first derivative of f(r). Suppose a(l) = 0. Calculate l.
0
Let l(o) be the first derivative of o**3 - 81/2*o**2 - 111 - 84*o. Factor l(m).
3*(m - 28)*(m + 1)
Let u(x) be the third derivative of -x**6/840 + 387*x**5/140 - 16019*x**4/8 - 48223*x**3/6 + 120*x**2 + 12. Find f such that u(f) = 0.
-1, 581
Suppose -7 = -2*q + 7. Suppose 6*m + q*m = 5*m. Solve -1/7*s**2 + 0*s**3 + 1/7*s**4 + 0 + m*s = 0.
-1, 0, 1
Let b(f) be the third derivative of -f + 11/24*f**4 - f**3 + 0 + 1/120*f**6 - 6*f**2 - 1/10*f**5. Solve b(v) = 0 for v.
1, 2, 3
Solve -234/7*x - 1320/7 + 6/7*x**2 = 0 for x.
-5, 44
Factor d**4 - 10*d**3 - 31*d**2 - 61/2*d - 10 + 1/2*d**5.
(d - 5)*(d + 1)**3*(d + 4)/2
Let c(g) be the third derivative of 0*g**3 + 0*g + 77*g**2 + 0*g**5 + 0 + 9/280*g**7 + 1/80*g**6 - 11/448*g**8 + 0*g**4. Factor c(x).
-3*x**3*(x - 1)*(11*x + 2)/4
Let r(n) be the first derivative of 2*n**3/57 + 74*n**2 + 52022*n + 1305. Suppose r(p) = 0. What is p?
-703
Let f(o) be the third derivative of -5*o**6/96 - 19*o**5/30 - 79*o**4/32 - 3*o**3/4 + 273*o**2. Let f(y) = 0. What is y?
-3, -2/25
Let q be (5150/(-150) + 37)*(-12)/(-176). Determine l so that 12/11 + q*l**2 - 10/11*l = 0.
2, 3
Let o(s) = 27*s. Let w be o(4). Suppose -3*u = -78 - w. Factor -62 + 5*n**2 + 5*n - 5*n**3 + u - 5*n**4.
-5*n*(n - 1)*(n + 1)**2
Let f(j) be the second derivative of -j**7/294 - 4*j**6/35 - 8*j**5/7 - 3*j**4/2 + 737*j**3/42 + 363*j**2/7 - 1614*j. Suppose f(d) = 0. Calculate d.
-11, -3, -1, 2
Let d(q) be the first derivative of 8*q - 5/3*q**3 - 1/4*q**4 - 58 - q**2. Determine w so that d(w) = 0.
-4, -2, 1
Let t(g) be the second derivative of -g**7/252 - 19*g**6/12 - 691*g**5/4 - 30245*g**4/36 - 19975*g**3/12 - 6627*g**2/4 + 310*g + 9. Factor t(j).
-(j + 1)**3*(j + 141)**2/6
Solve 24 + 162*a**2 + 70*a**3 - 42*a**4 + 42*a**3 + 278*a + 263*a**2 - 17*a**4 = 0 for a.
-1, -6/59, 4
Let n(p) = p**2 - 4*p + 3. Let s(h) = -2*h**2 + 7*h - 5. Let o(b) = 9*n(b) + 4*s(b). Solve o(r) = 0 for r.
1, 7
Let u(k) be the first derivative of -79 - 40*k**3 - 15*k + 33/2*k**4 - 9/5*k**5 + 39*k**2. Determine f so that u(f) = 0.
1/3, 1, 5
Let n = -6603 + 6607. Let v(h) be the first derivative of 1/16*h**n + 0*h - 31 - 1/12*h**3 - 1/4*h**2. Let v(g) = 0. What is g?
-1, 0, 2
Let n(i) be the third derivative of i**6/960 - i**5/240 - i**4/24 + 1304*i**2. Factor n(p).
p*(p - 4)*(p + 2)/8
Let a(b) = -2*b**2 + 39*b + 36. Let g be a(20). Let -8*c - g - c**2 - 14 + 50 = 0. What is c?
-10, 2
Let n be 6/12 - 25/50. Let t(d) be the second derivative of -4/5*d**2 + n - 1/30*d**4 - 4/15*d**3 - 32*d. Factor t(k).
-2*(k + 2)**2/5
Let a(g) = 20*g - 8*g**2 - 30*g + 9*g**2. Let d(i) = i. Suppose -2*h = 5*m - 4 + 1, h + m = 0. Let r(z) = h*a(z) - 6*d(z). Let r(l) = 0. Calculate l.
0, 4
Let n be 212/6 - 322/483. Let h(j) be the first derivative of -24*j**2 - 32*j - 48/5*j**5 + n*j**3 + 11*j**4 - 8 - 10/3*j**6. Suppose h(f) = 0. What is f?
-2, -2/5, 1
Let a(g) be the first derivative of -g**6/36 + g**5/30 + 17*g**4/24 - 17*g**3/18 - 4*g**2/3 + 8*g/3 - 2504. Find d such that a(d) = 0.
-4, -1, 1, 4
Let d(q) be the third derivative of q**7/70 - 63*q**6/40 - 13*q**5/2 + 97*q**2 - 6. Find s, given that d(s) = 0.
-2, 0, 65
Let x(m) = -6*m**4 + 1494*m**3 - 3*m**2 - 126*m. Let k(o) = 17*o**4 - 4481*o**3 + 8*o**2 + 336*o. Let h(j) = -3*k(j) - 8*x(j). Suppose h(r) = 0. What is r?
0, 497
Factor 1089/5 + 1/5*w**2 - 66/5*w.
(w - 33)**2/5
Let c(h) = h**3 + 5*h**2 + 2. Let l be c(-5). Let b = 3445/2614 + 238/1307. Find w, given that -9/2*w - b*w**3 + 17/2*w**l - 5/2 = 0.
-1/3, 1, 5
Solve 30 - 30*l + 729*l**2 - 665*l**2 + 5*l**3 - 53*l - 16 = 0.
-14, 1/5, 1
Let d(f) be the second derivative of f**4/20 + 76*f**3/5 + 90*f**2 - 15*f - 44. What is q in d(q) = 0?
-150, -2
Let i(l) = 5*l - 38. Let o be i(8). Factor 70*u**2 + 20 + 0*u + 68*u**2 + 16*u - 142*u**o.
-4*(u - 5)*(u + 1)
Suppose -a - 5*u - 4 = -9*u, 3*u = 4*a + 3. Let i be ((-2)/(-3))/(4/((-288)/(-258)) + -3). Determine f, given that i*f**2 + a + 16/7*f + 1/7*f**3 = 0.
-4, 0
Suppose 16 = -4*j - 2*r, 2 = -2*j - 3*r + 5*r. Let k = j + 8. Find t such that -9 + 2 - 8*t**2 - k - 16*t + 4*t**2 = 0.
-3, -1
Find b, given that -1298/3*b + 1/3*b**2 + 421201/3 = 0.
649
Let p(h) be the first derivative of -5*h**6/6 - 54*h**5 + 2375*h**4/4 - 2140*h**3 + 2790*h**2 - 4777. Find m, given that p(m) = 0.
-62, 0, 2, 3
Let w(t) be the first derivative of -t**4/6 - 38*t**3/3 - 37*t**2 - 110*t/3 - 2917. Let w(c) = 0. What is c?
-55, -1
Let -46/5*w**2 - 96/5*w + 49/5*w**3 - 1/5*w**4 + 0 = 0. What is w?
-1, 0, 2, 48
Let u(q) = -184*q**2 + 276*q - 279. Let v(d) = -67*d**2 + 92*d - 93. Let y(x) = -4*u(x) + 11*v(x). Factor y(s).
-(s - 1)*(s + 93)
Suppose 554*b - 128 = 538*b. Suppose -422*k + 426*k = b. Factor 16/5*q - 16/5 - 4/5*q**k.
-4*(q - 2)**2/5
Let p = 577820/9 + -64202. Factor 2/9 - 2/9*n + p*n**3 - 2/9*n**2.
2*(n - 1)**2*(n + 1)/9
Let w be (((-15)/65)/(620/(-806)))/(3/2). Factor -13/5*c**3 + w*c**4 + 48/5*c**2 + 0 - 36/5*c.
c*(c - 6)**2*(c - 1)/5
Let i(w) = -152*w**3 - 1388*w**2 + 119686*w + 121091. Let q(t) = 35*t**3 + 347*t**2 - 29922*t - 30273. Let b(h) = -6*i(h) - 26*q(h). Solve b(p) = 0 for p.
-1, 174
Let k(v) be the first derivative of -9*v + 54 - 1/3*v**3 - 3*v**2. Factor k(r).
-(r + 3)**2
Suppose 329 = 20*j + 289. Determine k so that 38/3*k + 1/3*k**j + 361/3 = 0.
-19
Factor -2863*j**2 - 2654*j**2 + 4977*j**2 + 536*j + 4*j**3.
4*j*(j - 134)*(j - 1)
Let w(s) be the first derivative of -2*s**3/3 + 615*s**2 - 4020. Solve w(u) = 0.
0, 615
Find r such that -r**3 + 411*r**2 + 4*r**3 - 480*r**2 + 1308*r - 591*r**2 = 0.
0, 2, 218
Suppose d - 480 = -4*f + 1036, -2*f + 2*d = -748. Let s = -376 + f. Determine n so that 3/2 + 0*n - 3/2*n**s = 0.
-1, 1
Suppose 8 + 82 = 45*o. Let x(d) be the third derivative of -2*d**o - 1/15*d**3 + 0*d - 1/150*d**5 + 0 + 1/30*d**4. What is u in x(u) = 0?
1
Factor -10*t**2 + 319*t - 78*t + 291 - t**2 + 14*t**2 + 53*t.
3*(t + 1)*(t + 97)
Let c = -2/7323 + 7327/14646. Let s(w) be the second derivative of -1/6*w**4 + 0 + 0*w**2 - 21*w + 1/20*w**5 - c*w**3. Factor s(h).
h*(h - 3)*(h + 1)
Let u(f) be the second derivative of -1/780*f**6 + 0 + 18*f - 1/78*f**4 + 3*f**3 + 0*f**2 - 7/780*f**5. Let k(g) be the second derivative of u(g). Factor k(a).
-2*(a + 2)*(3*a + 1)/13
Let x be 17 + (-1626)/126 + 22/(-6). Factor 12/7 + 0*y - x*y**2.
-3*(y - 2)*(y + 2)/7
Let w(y) be the third derivative of -y**6/320 + 13*y**5/80 - 65*y**4/64 - 23*y**3/4 + 31*y**2 + 5*y + 2. Factor w(p).
-3*(p - 23)*(p - 4)*(p + 1)/8
Factor -5015*b + 8 - 6*b**2 + 10 + 5030*b - 3*b**3.
-3*(b - 2)*(b + 1)*(b + 3)
Let y(b) be the third derivative of -b**7/210 - b**6/40 + b**5/20 + 11*b**4/24 + b**3 + 1844*b**2. Factor y(d).
-(d - 2)*(d + 1)**2*(d + 3)
Let l = -1109903/5 + 221981. Factor 2/5*q**2 + l*q - 8.
2*(q - 4)*(q + 5)/5
Let z = 263 + -259. Suppose -48*b + 12*b**2 + 40 - z*b**4 + 18*b - 38*b + 20*b**3 = 0. Calculate b.
-2, 1, 5
Let l(m) be the second derivative of 5/6*m**4 + 5/2*m**3 + 1/12*m**5 + 19*m + 11*m**2 + 0. Let z(s) be the first derivative of l(s). Let z(h) = 0. Calculate h.
-3, -1
Let t = 57474 + -57472. Determine s so that -2/17*s**3 + 0 - 56/17*s**t - 392/17*s = 0.
-14, 0
Let l(n) = -2*n + 40. Let s be l(3). Suppose -6 = s*m - 74. Let 2/5 - 2/5*o**m + 0*o = 0. What is o?
-1, 1
Let v = -17 + 17. Suppose -j + 2*m - 8 = v, -25 = -5*j + 2*m - 5*m. What is h in 5*h**2 + 4*h**j + 2*h - 4*h**2 - 4*h**2 = 0?
-2, 0
Let v(c) be the second derivative of -11/30*c**5 - 7/18*c**4 + 3*c + 1/7*c**7 + 0*c**2 - 6 + 7/45*c**6 + 2/9*c**3. Let v(t) = 0. What is t?
-1, 0, 2/9, 1
Let j be (15/(-2))/5 + (-1242)/(-621). Factor 5/2*n - j*n**2 + 0.
-n*(n - 5)/2
Let i(x) = -x**3 + 2*x**2 + x + 53. Let w be i(0). Let 5*n**5 - 95*n**3 + 140*n**2 + 10*n**4 - w*n + 41*n - 48*n = 0. Calculate n.
-6, 0, 1, 2
Let f(p) be the second derivative of -p**8/336 - p**7/56 + p**6/18 + 7*p**3 - 5*p - 1. Let y(b) be the second derivative of f(b). Find k such that y(k) = 0.
-4, 0, 1
Let u be 6/36 - ((-176)/384*-20 + -9). Solve u - 1/8*x**2 + 1/8*x = 0.
0, 1
Let z be (260/(-40) + 7