Factor -3*h**3 + 2*h**k + 3*h**3 + 3*h**2 - h**2.
2*h**2*(h + 1)
Let g(b) be the second derivative of b**4/6 + 101*b**3/3 - 2*b + 1215. Factor g(r).
2*r*(r + 101)
Factor 0 - 40/3*a - 2/3*a**4 - 12*a**3 + 26*a**2.
-2*a*(a - 1)**2*(a + 20)/3
Let a(g) be the third derivative of -g**8/84 + 38*g**7/35 - 5*g**6/3 - 23668*g**5/15 - 11628*g**4 - 92416*g**3/3 + 54*g**2 + 5. Find v such that a(v) = 0.
-16, -2, -1, 38
Let d(m) = -10*m**4 - 176*m**3 - 343*m**2 - 171*m + 3. Let t(w) = 3*w**4 + w**3 - 1. Let v(a) = 3*d(a) + 9*t(a). Solve v(z) = 0 for z.
-171, -1, 0
Let u(a) be the third derivative of a**2 + 169/60*a**5 - 13/6*a**4 + 0*a - 3 + 2/3*a**3. Factor u(i).
(13*i - 2)**2
Suppose -13*w + 7*w + 324 = 0. Factor 5*r**2 - 2 - 53*r**3 - 2*r + r - 3 + w*r**3.
(r - 1)*(r + 1)*(r + 5)
Let d(m) be the first derivative of m**5/10 - 3*m**4/4 - m**3/6 + 15*m**2/2 + 934. Find k such that d(k) = 0.
-2, 0, 3, 5
Let i be -3 + (-17)/(-5) + (-48)/(-30). Determine y so that -1/3*y**i + 0*y - 1/3*y**5 + 0 + 1/3*y**4 + 1/3*y**3 = 0.
-1, 0, 1
Let v be (-17*23/(-1173))/((-1)/(-9)). Let j(i) be the third derivative of 0*i - 1/90*i**5 - 3*i**2 + 0 + 0*i**v + 1/18*i**4. Factor j(g).
-2*g*(g - 2)/3
Let g(o) be the second derivative of -o**5/15 - 10*o**4 - 600*o**3 - 151*o**2/2 - 2*o - 29. Let y(v) be the first derivative of g(v). Let y(p) = 0. Calculate p.
-30
Suppose 104*p**3 + 23*p**4 + 35*p**4 + 23*p**4 - 104*p**4 + 100*p**2 + 27*p**4 = 0. Calculate p.
-25, -1, 0
Let n be 1/(6/2)*(-65 + -734). Let l = 267 + n. Factor 7/6*u**2 - 1/3*u**3 + 0 + l*u.
-u*(u - 4)*(2*u + 1)/6
Solve 284/3*l + 95 - 1/3*l**2 = 0 for l.
-1, 285
Let n(h) be the first derivative of -h**5/30 + 29*h**4/12 - 268*h**3/9 + 451*h**2/6 - 141*h/2 - 3548. Factor n(i).
-(i - 47)*(i - 9)*(i - 1)**2/6
Factor -108/5 + 56/5*o**2 - 2/5*o**3 - 10*o.
-2*(o - 27)*(o - 2)*(o + 1)/5
Let d = 67/5 + -13. Let b(z) = -z**2 + 962*z - 6685. Let g be b(7). Factor -d*x**3 + 0 + 0*x**2 + g*x + 2/5*x**4.
2*x**3*(x - 1)/5
Let r be (-40)/(-15) - 140/(-60). Let d(v) be the second derivative of -1/150*v**6 - 1/100*v**r + 1/30*v**3 + 0 + 12*v + 1/60*v**4 + 0*v**2. Factor d(n).
-n*(n - 1)*(n + 1)**2/5
Let c = -1511 - -1513. Let g(y) be the first derivative of 1/2*y**4 - y**2 - 10 + 2/3*y**3 - c*y. Find n such that g(n) = 0.
-1, 1
Let -262/25*s - 2/5*s**2 - 52/25 = 0. Calculate s.
-26, -1/5
Let x(j) be the first derivative of -8/9*j**2 - 57 - 2/27*j**3 + 2*j. Factor x(z).
-2*(z - 1)*(z + 9)/9
Let z(n) = -2*n**4 + n**3 - n**2 - n. Let j(c) = -7*c**4 - 79*c**2 + 154*c - 80. Let i(q) = 5*j(q) - 20*z(q). Factor i(f).
5*(f - 10)*(f - 1)**2*(f + 8)
Let j(c) be the second derivative of 2*c**6/45 - 27*c**5/5 + 1223*c**4/9 + 3890*c**3 + 10800*c**2 - 9*c - 15. Find v, given that j(v) = 0.
-8, -1, 45
Let z(n) = 8*n**5 - 68*n**4 + 68*n**3 + 68*n**2 - 66*n + 2. Let f(g) = -5*g**5 + g**4 + g**3 - g**2 - g - 1. Let u(x) = -4*f(x) - 2*z(x). Solve u(o) = 0 for o.
-34, -1, 0, 1
Suppose -5*v + 100 = 5*m, -4*m + 44 - 28 = -4*v. Let -93/7*f + 18/7 + 156/7*f**2 - m*f**3 = 0. Calculate f.
1/2, 6/7
Suppose d - a + 2*a = 1, -3*d + 5*a - 5 = 0. Suppose -3*m = -2*t - 9, d = -4*t + 2*t + 2*m - 4. Solve -1/6*l**t + 0*l**2 + 1/2*l - 1/3 = 0.
-2, 1
Let p = -3321/5 + 7973/12. Let a(f) be the third derivative of 8*f**2 - 2/35*f**7 + 0*f + 0 - 1/3*f**4 + 0*f**3 - 1/168*f**8 - 2/5*f**5 - p*f**6. Factor a(m).
-2*m*(m + 1)**2*(m + 2)**2
Let u = -9069/4 + 27215/12. Factor -2*c**2 + 0 + u*c - 2/3*c**4 + 2*c**3.
-2*c*(c - 1)**3/3
Let m(n) = 3*n**5 + 261*n**4 + 1712*n**3 + 3490*n**2 + 2935*n + 883. Let z(u) = 4*u**5 - 2*u**4 + u**3 - 1. Let h(p) = m(p) - 2*z(p). Find k such that h(k) = 0.
-3, -1, 59
Suppose -7232/9*t + 2/9*t**2 + 6537728/9 = 0. What is t?
1808
Let 7/3*q**3 + 0 - 1/3*q**4 + 0*q + 0*q**2 = 0. What is q?
0, 7
Find s, given that 36*s - 18*s**3 + 87/4*s**4 + 348 - 174*s**2 + 9/4*s**5 = 0.
-29/3, -2, 2
Suppose 75 = 5*b - 5*r, 983*b - 988*b = 2*r + 9. Factor 0*y - 8/9*y**2 + 10/9*y**b + 0.
2*y**2*(5*y - 4)/9
Let d = -764 - -767. What is t in -45*t**d - 19*t**4 + 58*t**4 - 19*t**4 - 55*t**2 - 3*t + 48*t + 50 - 15*t**4 = 0?
-1, 1, 10
Let l(y) be the second derivative of y**9/20160 - y**8/1120 + y**7/480 + y**4/6 - 5*y**3/6 - 4*y + 3. Let u(k) be the third derivative of l(k). Factor u(b).
3*b**2*(b - 7)*(b - 1)/4
Let c(u) be the second derivative of -u**5/80 + u**4/32 + u**3/4 - 32*u**2 + 4*u - 3. Let g(x) be the first derivative of c(x). Find d, given that g(d) = 0.
-1, 2
Suppose -6*i + 13*i = -32*i. Factor 2*l - 2/5*l**2 + i.
-2*l*(l - 5)/5
Let w(i) = i**5 + 3*i**4 - 29*i**3 + 33*i**2 - 14*i - 6. Let n(r) = 2*r**3 + 2. Let l(m) = 15*n(m) + 5*w(m). Let l(f) = 0. Calculate f.
-7, 0, 1, 2
Let z(v) = v**2 - 425. Let u be z(21). Let m(p) be the first derivative of 6*p**2 - 4/3*p**3 - 15 + u*p. Factor m(w).
-4*(w - 4)*(w + 1)
Let z(f) = -f**2 + 5*f - 4. Let a be z(9). Let s = a + 44. Find y such that 12*y**4 + 5*y**3 - 12*y**s - 9*y**4 - 11*y**4 = 0.
0, 1/4
Let p(m) be the first derivative of -2/7*m - 68 + 4/21*m**2 - 2/63*m**3. What is z in p(z) = 0?
1, 3
Let a(i) be the first derivative of 5*i**6/69 + 22*i**5/115 - 43*i**4/46 - 38*i**3/69 + 38*i**2/23 + 16*i/23 + 2649. Find w such that a(w) = 0.
-4, -1, -1/5, 1, 2
Suppose 61*f - 26*f = 70. Let l(s) be the first derivative of 1/9*s**3 - 42 - 1/3*s**f + 0*s. Factor l(v).
v*(v - 2)/3
Factor -4/9*x + 328/3 + 4/9*x**3 - 328/3*x**2.
4*(x - 246)*(x - 1)*(x + 1)/9
Let u(j) = 16*j**3 - 280*j**2 - 473*j - 237. Let q(k) = k**3 - 2*k**2 + 2*k + 1. Let b(y) = 30*q(y) - 2*u(y). Determine h, given that b(h) = 0.
-1, 252
Let x(u) be the first derivative of -u**8/84 - 8*u**7/105 - 2*u**6/15 - 30*u**2 - 98. Let b(g) be the second derivative of x(g). Let b(s) = 0. Calculate s.
-2, 0
Suppose 4*a = 3*a + 3. Suppose -5*b - 7 = 3*p, 0 = -b + 3*b + 10. Solve -p*y**3 + 14*y - 9*y**3 - 5*y - 3 + 3*y**a = 0 for y.
-1, 1/2
Let f be ((-294)/1880)/(81/(-594)). Let q = f - -5/94. Factor -3/5*g**2 + q*g + 0.
-3*g*(g - 2)/5
Suppose 14*q + 11*q - 178 + 53 = 0. Factor 0 - 2/7*h**3 + 2/21*h**q + 8/21*h**2 + 8/21*h - 4/21*h**4.
2*h*(h - 2)**2*(h + 1)**2/21
Let g(b) be the third derivative of b**8/2184 - 4*b**7/1365 - 7*b**6/260 + 10*b**5/39 - 25*b**4/39 + b**2 + 2*b - 399. Suppose g(l) = 0. What is l?
-5, 0, 2, 5
Let x be (-37)/((-1184)/(-192)) - (18/(-15))/((-49)/(-525)). Factor -3/7*i**2 + 108/7 - x*i.
-3*(i - 2)*(i + 18)/7
Let y(t) be the second derivative of 10*t**7/63 - 988*t**6/45 + 12397*t**5/15 - 9604*t**4/9 - 8052*t. Suppose y(o) = 0. What is o?
0, 4/5, 49
Solve 6093/8*c**3 + 675/8*c**5 + 0 + 1155*c**4 - 39/2*c + 153/2*c**2 = 0 for c.
-13, -2/5, 0, 1/9
Suppose -18 + 4 = -4*t + 2*o, 3*o - 3 = 0. Let i be t/62 + (-516)/(-651). Factor 3/7 - 6/7*u**3 - 3/7*u**5 + i*u**2 - 9/7*u**4 + 9/7*u.
-3*(u - 1)*(u + 1)**4/7
Let w = 318 - 143. Suppose 6*r + w - 715 = 0. Solve -r + 30*k - 5/2*k**2 = 0.
6
Suppose o - 5 = 0, 7*j = 6*j - 5*o + 111. Solve -47*w**2 - 14739 - 3*w**3 - 2601*w - j*w**2 + 52*w**2 - 72*w**2 = 0 for w.
-17
Let p(l) = -11*l**2 - 6*l**3 - 4 + 20 + 17*l**3 - 12*l**3 + 12*l. Let y be p(-12). Factor -4*m**3 - 3 + y*m - 2*m**2 - 12*m + 0 + 5.
-2*(m - 1)*(m + 1)*(2*m + 1)
Let k be (24 + -15)/((-3)/26). Let t be k/(-42) + (-1 - 0)*1. Factor -2/7*h**3 + 0 - t*h - 8/7*h**2.
-2*h*(h + 1)*(h + 3)/7
Let c = -17816 + 17818. Let d(z) be the first derivative of -6*z**c + 21/8*z**4 + 37/12*z**3 + 9/4*z + 2/5*z**5 - 24. Determine i, given that d(i) = 0.
-3, 1/4, 1/2
Suppose -20 - 8 = -4*c. Suppose 40 = 11*m + c. Factor -60*h + 4*h**2 - 32*h**2 - 36 + 129*h**m - 133*h**3.
-4*(h + 1)*(h + 3)**2
Let u(p) be the second derivative of -p**7/252 - 17*p**6/45 + p**5/120 + 17*p**4/18 + p + 205. Find o such that u(o) = 0.
-68, -1, 0, 1
Suppose 2*d + 63 = 5*d + 2*a, -5*d + 2*a + 121 = 0. Suppose 4*f + c - d = 0, 26 = 3*f + f + 2*c. Factor 117*i**2 - 2*i**3 - 107*i**2 - 3*i**3 - f*i.
-5*i*(i - 1)**2
Let w(q) be the first derivative of 4*q**5/15 - 394*q**4/3 + 50684*q**3/3 + 313624*q**2/3 + 633616*q/3 + 4140. Factor w(r).
4*(r - 199)**2*(r + 2)**2/3
Let 487 + 6*g**2 + 15*g**2 + 908*g + 3*g**2 - 25*g**2 - 1394 = 0. Calculate g.
1, 907
Let p(t) be the first derivative of -t**5 + 405*t**4/2 - 33605*t**3/3 + 32400*t**2 - 32000*t + 1559. Solve p(r) = 0.
1, 80
Let m be 42/15 -