/2*w**3 - 1/12*w**4 + 125/12 - 31/3*w**2 + 5/2*w = 0. Calculate w.
-25, -5, -1, 1
Determine l, given that -l**4 + 0*l + 0 + 1/8*l**5 + 19/8*l**3 - 3/2*l**2 = 0.
0, 1, 3, 4
Let f(g) = g**3 - 7*g**2 + 7*g - 2. Let p be 1/(-5) + (-713)/(-115). Let s be f(p). Factor 2/3*a + 0 + 4/3*a**2 - 2/3*a**5 + 0*a**3 - 4/3*a**s.
-2*a*(a - 1)*(a + 1)**3/3
Let r(t) be the third derivative of 5*t**6/24 + 208*t**5/3 + 415*t**4/6 - 6720*t**2. Solve r(p) = 0.
-166, -2/5, 0
Let j(g) be the second derivative of g**5/30 - 17*g**4/36 + 10*g**3/9 + 21*g**2 + 54*g. Let h(q) be the first derivative of j(q). Let h(a) = 0. What is a?
2/3, 5
Find k, given that 87228416/3 - 2/3*k**3 - 247808*k + 704*k**2 = 0.
352
Let j(i) be the second derivative of -4 - 2/3*i**3 + 20*i + 2*i**2 - 1/3*i**4 + 1/5*i**5. Factor j(c).
4*(c - 1)**2*(c + 1)
Let a(s) be the first derivative of 8*s**2 + 2/3*s**3 + 14*s - 33. Factor a(l).
2*(l + 1)*(l + 7)
Factor -20*s + 13 - 25*s**2 + 11 + 117*s**3 - 122*s**3 - 24.
-5*s*(s + 1)*(s + 4)
Let h(x) = -368*x**2 - 7344*x + 3370896. Let y(l) = 306*l**2 + 7344*l - 3370896. Let p(s) = 5*h(s) + 6*y(s). Find o, given that p(o) = 0.
918
Factor -3*u**4 - 38181 - 111*u**2 + 24*u + 36*u**3 + 102*u + 38133.
-3*(u - 8)*(u - 2)*(u - 1)**2
Let t(i) = -i**2 - 9*i - 5. Let o be t(-6). Suppose 4*w - q = -w + o, 0 = 4*w + 5*q + 7. Determine z, given that -5*z**w + 16*z + 13*z - 4*z - 20 = 0.
1, 4
Let t = -275017 + 825064/3. Let t - 4*p - 1/3*p**2 = 0. What is p?
-13, 1
Let b(m) be the third derivative of -m**6/30 - 7*m**5/15 + 13*m**4 + 7991*m**2. What is o in b(o) = 0?
-13, 0, 6
Determine r, given that -49 - 26 - 41*r**3 - 665*r + 129*r**4 - 179*r**4 + 243*r**2 + 602*r**2 - 14*r**3 = 0.
-5, -1/10, 1, 3
Let i(r) be the second derivative of -r**4/4 - 87*r**3/8 - 189*r**2/8 + 1570*r. Factor i(k).
-3*(k + 21)*(4*k + 3)/4
Solve -24 + 46/5*g**3 - 8/15*g**4 + 544/5*g - 802/15*g**2 = 0.
1/4, 5, 6
Let g = -2/905267 + 10863214/4526335. Determine x so that 9/5*x**2 - 3/5*x**3 + g*x + 0 = 0.
-1, 0, 4
Let g(o) be the third derivative of o**5/60 + 97*o**4/24 - 49*o**3/3 - 968*o**2. Factor g(f).
(f - 1)*(f + 98)
Let f be (-26510)/(-180) - (-10)/1. Let n = 1420/9 - f. Let -q**3 - 1/4*q**4 - n*q + 0 - 5/4*q**2 = 0. Calculate q.
-2, -1, 0
Let c(f) be the first derivative of 2*f**3/3 - 15*f**2/2 - 92*f - 897. Let c(w) = 0. What is w?
-4, 23/2
Let c(x) = -x**3 - 158*x**2 - 174*x - 2669. Let i be c(-157). Factor 5/2*g**5 - 10*g**2 + 5*g**4 - 15/2*g**3 + 10*g + i.
5*g*(g - 1)**2*(g + 2)**2/2
Let j(z) = -28*z**2 - 146*z - 160. Let d(v) = -79*v**2 - 439*v - 479. Let w(m) = -6*d(m) + 17*j(m). Factor w(h).
-2*(h - 77)*(h + 1)
Let k be ((-195)/(-5) - -5)*-4. Let c = -84 - k. Factor 102 - 4*r - c - 5*r**2 + 9*r.
-5*(r - 2)*(r + 1)
Let k(z) be the first derivative of -2*z**5/45 + 10*z**4/9 - 68*z**3/9 + 148*z**2/9 - 130*z/9 + 1257. Determine c so that k(c) = 0.
1, 5, 13
Let w be (-6)/14 - -3*(-26436)/(-1008). Let p = -2187/28 + w. Determine s so that 0*s**2 + 0 - p*s + 1/7*s**3 = 0.
-1, 0, 1
Let u(z) be the first derivative of -10*z**3/3 - 1052*z**2 - 840*z + 3790. Let u(q) = 0. Calculate q.
-210, -2/5
Let f be (((-15)/(-35))/(54/(-120)))/((-12)/144). Factor 0 - f*z - 4/7*z**2.
-4*z*(z + 20)/7
Let u(f) be the third derivative of 0 + 0*f + 17/6*f**3 + 1/120*f**6 + 7/40*f**5 - 26*f**2 + 3/4*f**4. Let z(g) be the first derivative of u(g). Factor z(l).
3*(l + 1)*(l + 6)
Suppose -319*l - 198*l - 248 = -248. Factor -1/3*w**3 + 11/3*w**2 + 0 + l*w.
-w**2*(w - 11)/3
Let d(z) be the third derivative of 63*z**2 - 1/90*z**5 + 0*z**3 - 1/36*z**4 + 0*z + 1/180*z**6 + 1/315*z**7 + 0. Find y such that d(y) = 0.
-1, 0, 1
Find u, given that 304 + 4/3*u**2 + 176/3*u = 0.
-38, -6
Let g be (-3 - (-3 - -2))/(5 + -6). Let 105 + s**g + 120 - 19*s - 11*s = 0. Calculate s.
15
Suppose x + 107 = 9*x + 5*k, -5 = -5*x + k. Find b such that 10*b**3 - 12/7*b**5 + 30/7*b + 0 - 2/7*b**x - 86/7*b**2 = 0.
-3, 0, 5/6, 1
Let f(v) be the second derivative of 2*v**6/75 - 14*v**5/25 + 11*v**4/15 + 52*v**3/15 + 1526*v + 2. Find q such that f(q) = 0.
-1, 0, 2, 13
Let k = 43/310 - -126251/310. Let y = k - 407. Factor 0 - 2/5*i**2 + y*i.
-2*i*(i - 1)/5
Let c(z) be the first derivative of 2*z**3/3 - 18*z**2 + 64*z + 1102. Factor c(s).
2*(s - 16)*(s - 2)
Let p(t) be the second derivative of -82*t + 4/105*t**6 + 20/7*t**2 - 1 + 19/14*t**4 - 8/3*t**3 - 5/14*t**5. Determine o, given that p(o) = 0.
1, 5/4, 2
Let y(t) = 15*t - 7. Let v be y(6). Let f = 83 - v. Solve 0*n**2 + 1/5*n**3 + 1/5*n**5 + f + 2/5*n**4 + 0*n = 0 for n.
-1, 0
Let g = -5 - -7. Suppose 3*c + 3*s = g*c - 6, -4*c + 15 = -s. Let -43*a**3 - 44*a**5 + 20*a**4 + 72*a**5 + 7*a**c + 8*a - 20*a**2 = 0. Calculate a.
-1, 0, 2/7, 1
Let c be (46515/10848 - 1)*8/30. Let u = c - 1/565. Let -u*x - 3/4 - 1/8*x**2 = 0. Calculate x.
-6, -1
Let k = -525 + 534. Suppose k*g - 61 = -16. Find n, given that -6/5*n**4 + 0*n**3 + 2/5*n**g + 0*n + 8/5*n**2 + 0 = 0.
-1, 0, 2
Let n(c) be the first derivative of c**4/8 - 514*c**3/3 + 1025*c**2 - 2048*c - 13010. Determine l so that n(l) = 0.
2, 1024
Suppose 408*p - 532 + 619*p**2 - 203*p**2 + 218 + 41*p**3 - 23*p**3 - 390 = 0. What is p?
-22, -2, 8/9
Let u(a) be the second derivative of -5/6*a**3 - 1/12*a**5 + 5/12*a**4 + 4*a**2 + 0 - 4*a. Let m(i) be the first derivative of u(i). What is x in m(x) = 0?
1
Let h(a) be the third derivative of -3/10*a**6 + 48 + 2*a**2 + 81*a**3 + 27/4*a**4 + 0*a + 1/168*a**8 + 1/35*a**7 - 9/5*a**5. Factor h(u).
2*(u - 3)**2*(u + 3)**3
Let b(w) = w**2 + 3. Let u be b(7). Let p = -48 + u. Solve 2*c**5 + 4*c**4 + 0*c**p - c**3 + 9*c**3 - 6*c**5 = 0.
-1, 0, 2
Let d(c) = 8*c**3 + 7*c**2 - 6. Let k be (-12)/8 - (-25)/(-10). Let g(r) = -5*r**3 - 3*r**2 + r + 3. Let m(z) = k*d(z) - 7*g(z). Factor m(w).
(w - 3)*(w + 1)*(3*w - 1)
Let y(o) be the first derivative of -o**6/240 + 5*o**5/72 - 11*o**4/36 + o**3/3 + 22*o**2 - 134. Let z(r) be the second derivative of y(r). Factor z(w).
-(w - 6)*(w - 2)*(3*w - 1)/6
Let n be ((-3)/(-5) + 6/(-10))/(40 + -44 + 2). Suppose n - 1/7*h**2 + 1/7*h**4 - 8/7*h + 8/7*h**3 = 0. What is h?
-8, -1, 0, 1
Determine v so that 316*v**2 + 16208 + 2*v**3 - 16208 = 0.
-158, 0
Let d be 121/4 - 12/48. Let y = d + -28. Solve 12*g**2 - 51*g**3 - 6 - 8*g**4 + 4*g + y + 47*g**3 = 0 for g.
-1, 1/2, 1
Let i(r) be the third derivative of 60*r**2 + 0 - 13/96*r**4 + 1/480*r**6 + 5/12*r**3 + 1/120*r**5 + 0*r. Factor i(s).
(s - 2)*(s - 1)*(s + 5)/4
Let i(j) be the third derivative of -j**5/20 - 48*j**4 + 386*j**3 - 1128*j**2. Solve i(q) = 0.
-386, 2
Let r = -4615 - -4618. Let b(t) be the second derivative of 0*t**2 + 1/16*t**5 - 5/24*t**r + 0*t**4 + 0 - 2*t. Let b(v) = 0. Calculate v.
-1, 0, 1
Let f be 11/660*15 + (-1)/4. Factor -3/5*y**2 + f - 6*y.
-3*y*(y + 10)/5
Let w(y) = y**3 - 14*y**2 - 31*y + 4. Let g be w(-2). Find m such that -8/7*m + 0 + 2/7*m**g = 0.
0, 4
Let q be -16 + ((-27)/36)/((-3)/80). What is t in -3*t**2 - 1/4*t**3 + 4 + 1/4*t**q - t = 0?
-2, 1, 4
Let j(a) be the third derivative of -a**8/21 + 2*a**7/15 + a**6/5 - 7*a**5/15 - a**4/3 + 2*a**2 - 16*a. Determine k, given that j(k) = 0.
-1, -1/4, 0, 1, 2
Let x(s) be the first derivative of -33*s**4 + 43*s**3 + 795*s**2/2 + 18*s + 828. Factor x(n).
-3*(n - 3)*(n + 2)*(44*n + 1)
Let k(x) be the first derivative of 16/15*x**3 + 0*x + 49 + 12/5*x**2 + 2/75*x**5 - 11/30*x**4. Find b such that k(b) = 0.
-1, 0, 6
Factor 3/2*l + 25/6*l**3 - 3 + 40/3*l**2.
(l + 3)*(5*l - 2)*(5*l + 3)/6
Suppose -8*d + 4*n + 20 = 0, -d - 62*n + 61*n = -1. What is g in 1/2*g**4 + 7/4*g - d*g**3 - 1 + 1/4*g**5 + 1/2*g**2 = 0?
-4, -1, 1
Factor 154*r**3 - 2436 + 14836 + 5516*r**2 - 9745*r + 42*r**3 - 7215*r.
4*(r + 31)*(7*r - 10)**2
Let j = 11762/3295 + 20/659. Let g(a) be the second derivative of 4*a**2 - 27/5*a**6 + j*a**5 - 12*a**3 + 77/6*a**4 + 5*a + 0. Find t, given that g(t) = 0.
-1, 2/9, 1
Let x(w) be the first derivative of -w**3/24 - 3*w**2/16 + 7*w/2 - 3267. Solve x(c) = 0.
-7, 4
Suppose 6*u + 4*u + 20 = 0. Let f be (11 + -9)/(0 - u/3). Factor 0*s**2 - 1/2 + 1/4*s**f - 3/4*s.
(s - 2)*(s + 1)**2/4
Let c(a) be the second derivative of a**6/30 - 21*a**5/5 - 43*a**4/6 + 14*a**3 + 85*a**2/2 - 1477*a. Factor c(m).
(m - 85)*(m - 1)*(m + 1)**2
Suppose -59*u - 41*u = -106*u + 40*u - 102. Le