 + 3/10*p**5 + 0*p + 0*p**3. Factor h(g).
3*g**2*(7*g + 6)
Let f(t) = 2*t**2 + 16*t - 8. Let o(z) = -5*z**2 - 32*z + 18. Let p = -340 + 331. Let r(n) = p*f(n) - 4*o(n). Factor r(j).
2*j*(j - 8)
Let n(p) be the first derivative of 5*p**4/4 + 25*p**3/3 - 125*p**2 + 1257. Suppose n(s) = 0. What is s?
-10, 0, 5
Let d(c) be the first derivative of -c**4/3 + 104*c**3 - 1840*c**2/3 - 6481. Factor d(w).
-4*w*(w - 230)*(w - 4)/3
Let o(w) be the third derivative of w**8/84 + 37*w**7/210 - 151*w**6/120 - 58*w**5/15 - 2*w**4 - 15*w**2 - 32*w. Let o(y) = 0. What is y?
-12, -1, -1/4, 0, 4
Let a(q) = 4*q**2 - 43*q + 66. Let i be a(8). Let s be 0/2 + (-16)/(14 + i). Solve -3/4*c - 3/4*c**s + 0 = 0 for c.
-1, 0
Let c = 5 + -3. Factor j**2 + 3*j**3 - j**2 + 5*j**c - 11*j**2.
3*j**2*(j - 2)
Let d be (36/16)/(((-9)/(-6))/1). Let x(k) = -k**3 - 33*k**2 + 114*k + 218. Let v be x(-36). Find s such that -9*s + 15/2 + d*s**v = 0.
1, 5
Let k(c) be the third derivative of c**5/60 - 5*c**4/24 - 2*c**3 - 15*c**2. Let h be k(7). Factor 2 - 7 + 0 - 4*b + 3 - 2*b**h.
-2*(b + 1)**2
Let q(p) be the first derivative of -3*p**4/20 - 8*p**3/5 - 63*p**2/10 - 54*p/5 + 5198. Determine a so that q(a) = 0.
-3, -2
Let y(x) be the first derivative of x**6/3 - 32*x**5/5 + 87*x**4/2 - 120*x**3 + 108*x**2 - 1346. Factor y(o).
2*o*(o - 6)**2*(o - 3)*(o - 1)
Let o(b) = -11*b - 1. Let z be o(-1). Let l(r) = 2*r**3 - 70*r**2 - 147*r - 29. Let j be l(37). Factor -z*w**2 + 12*w + 21*w**2 - j*w**2.
3*w*(w + 4)
Let y(a) be the third derivative of a**6/480 - 13*a**5/120 - 155*a**4/96 + 5108*a**2. Suppose y(l) = 0. What is l?
-5, 0, 31
Let y(n) = n**3 + 30*n**2 + 165*n + 94. Let i be y(-23). Factor 16/7*r - 18/7 + 2/7*r**i.
2*(r - 1)*(r + 9)/7
Let b(f) = f + 16. Let n be b(-6). Factor -n*z**3 - 10*z**3 - 2*z**5 - 22*z**2 - 2 - 15*z**4 - 10*z + 5*z**4 + 2*z**2.
-2*(z + 1)**5
Let r be 45/234*1*312/390. Find f such that 2/13*f**5 + 16/13*f**2 - r*f**3 + 0 - 16/13*f**4 + 0*f = 0.
-1, 0, 1, 8
Let p(f) = 15*f**3 - 1187*f**2 + 4680*f - 4652. Let r(y) = -20*y**3 + 1188*y**2 - 4680*y + 4648. Let d(n) = -3*p(n) - 2*r(n). Factor d(o).
-5*(o - 233)*(o - 2)**2
Factor -2/11*z**2 - 6/11*z - 4/11.
-2*(z + 1)*(z + 2)/11
Factor 16794 - 2*k**2 + 935*k - 15302 - 2*k**2 + 624*k - 71*k.
-4*(k - 373)*(k + 1)
Let a(d) be the first derivative of 2*d**3/3 + 2*d**2 + 2*d + 1009. Factor a(y).
2*(y + 1)**2
Let p = -418 - -439. Let -3*o**3 - 113*o - o - 45 - 51*o**2 + p*o + 0*o**3 = 0. What is o?
-15, -1
Let i(k) = k**2 + 3*k - 1. Let w be i(-4). Let a = -358/99 - -391/99. Solve -j + 0 - a*j**w + 4/3*j**2 = 0.
0, 1, 3
Suppose z - 4*s + 14 = 0, -5*z - s = -83 + 69. Suppose 23/4*f**z + 7/2*f - 3/4 + 3/2*f**3 = 0. What is f?
-3, -1, 1/6
Find h, given that 560/17*h**3 + 7776/17 + 70/17*h**4 - 1200/17*h**2 + 2/17*h**5 - 4320/17*h = 0.
-18, -3, 2
Let n be 4 - (-6)/(-3) - -58. Let i(s) = 300*s**2 - 13*s - 13. Let w be i(-1). What is z in -3 - n*z - 2 + w*z**2 + 8 = 0?
1/10
Let n(h) be the second derivative of -4*h**2 + 1/6*h**4 - h**3 + 2*h - 11. Let n(x) = 0. Calculate x.
-1, 4
Let f(z) = -31*z**2 + 1766*z - 3540. Let h(n) = -54*n**2 + 3532*n - 7079. Let v(j) = 7*f(j) - 4*h(j). Determine o, given that v(o) = 0.
-1768, 2
Let c(z) be the second derivative of z**3 + 1/4*z**4 - 12*z**2 - 1 - 11*z. Factor c(j).
3*(j - 2)*(j + 4)
Suppose -3*c + 8 = -1. Find x, given that -x**4 + 4*x + 34*x**2 + 4*x**c - 30*x**2 - 5*x**3 = 0.
-2, -1, 0, 2
Suppose -3*h = -5*h + 8. Suppose h = u - 2. Factor 23*s + u*s**3 - 2*s**2 - 23*s.
2*s**2*(3*s - 1)
Let d(a) be the third derivative of 3*a**8/112 + 2*a**7/35 - 371*a**6/120 + 409*a**5/30 - 53*a**4/3 + 32*a**3/3 - 4*a**2 - 277. Find t, given that d(t) = 0.
-8, 1/3, 2, 4
Suppose -154*u - 112*u + 855 = 19*u. Factor 0 + 0*c**2 + 2/13*c - 2/13*c**u.
-2*c*(c - 1)*(c + 1)/13
Let s(x) = 122*x**3 - 1217*x**2 - 36*x + 62. Let c be s(10). Suppose -55/9 - 56/9*z - 1/9*z**c = 0. What is z?
-55, -1
Suppose -19394 = -4*g - 19374. Suppose 0 + g*s**2 + 0*s - 85/2*s**3 + 55*s**4 - 35/2*s**5 = 0. What is s?
0, 1/7, 1, 2
Suppose 0 = -4*l + k + 41 - 35, k + 6 = -2*l. Let i(g) be the third derivative of -1/20*g**5 + g**3 - 1/8*g**4 + 0*g + 12*g**2 + l. Factor i(h).
-3*(h - 1)*(h + 2)
Let a(m) be the first derivative of 1/18*m**6 + 0*m - 2/9*m**3 + 39 + 0*m**2 - 4/15*m**5 + 5/12*m**4. Factor a(v).
v**2*(v - 2)*(v - 1)**2/3
Let n(z) be the first derivative of -3*z**4/4 - 11*z**3 + 252*z**2 + 5616*z + 1148. Determine v so that n(v) = 0.
-12, 13
Suppose -13*u = 3*u + u. Suppose 20 = 5*g - 0*w + 3*w, u = -2*g + 5*w + 8. Determine z so that -11/3*z - 1/3*z**g + z**2 + z**3 + 2 = 0.
-2, 1, 3
Let y be (-21 + 26 - 5)/4. Factor 4/3*m + 2/3*m**2 + y - 2/3*m**3.
-2*m*(m - 2)*(m + 1)/3
Let p be -2 + (-30)/(-7) + 18/(-63). Factor 16*w**4 - 22*w**5 - 10*w**5 - 100*w**2 + 203*w**2 - 101*w**p + 14*w**3.
-2*w**2*(w - 1)*(4*w + 1)**2
Let q = -947/5 - -368413/1945. Let t = q + 4638/1945. Factor 3*c**2 - t*c**3 - 6/5*c + 3/5*c**4 + 0.
3*c*(c - 2)*(c - 1)**2/5
Suppose 142*f + 400 = 152*f. Factor 80 - 7*b**2 - 9*b**2 + f*b + 20*b**2 + b**2.
5*(b + 4)**2
Let p(y) be the first derivative of 3*y**4/32 - 7*y**3/8 - 21*y**2/8 + 18*y + 956. Factor p(n).
3*(n - 8)*(n - 2)*(n + 3)/8
Suppose 486/5 + 34322/15*q**2 + 4716/5*q = 0. Calculate q.
-27/131
Suppose -j + 5 = -1. Suppose u + j = 4*u. Factor -138*r**u + 8*r**3 + 138*r**2 + 4*r**5 + 12*r**4.
4*r**3*(r + 1)*(r + 2)
Let a(q) = q**3 + 8*q**2 + 11*q - 7. Let b be a(-3). Suppose 2*l + 2 + 1 = -3*u, 5*l = -b*u - 5. Let -1/6*x**3 + l + 1/2*x + 1/3*x**2 = 0. Calculate x.
-1, 0, 3
Let g be (-237)/948*(-4)/3. What is l in 0 + 1/3*l**4 + 1/3*l**3 + 0*l - g*l**2 - 1/3*l**5 = 0?
-1, 0, 1
Let z(d) be the third derivative of 1/6*d**4 + 1/60*d**5 + 0 + 1/2*d**3 + 10*d - 5*d**2. Factor z(b).
(b + 1)*(b + 3)
Let t(z) be the third derivative of z**6/900 + 13*z**5/225 - 77*z**4/60 - 784*z**3/5 + 2*z**2 + 2*z + 235. Let t(l) = 0. Calculate l.
-21, 16
Suppose -173*u + 179*u = 12. Let p(g) be the second derivative of -32*g**u - 1/3*g**4 + 19*g + 0 - 16/3*g**3. Solve p(r) = 0 for r.
-4
Let x(g) be the second derivative of -g**6/10 - 27*g**5/5 + 39*g**4/4 + 37*g**3 - 7*g - 440. Determine z so that x(z) = 0.
-37, -1, 0, 2
Suppose -13*w + 20*w + 2*s + 4 = 0, -30 = 3*w + 4*s. Suppose 2/9*k**w + 392/9 + 56/9*k = 0. What is k?
-14
Let w(l) = l**4 - 2*l**2 - 2*l. Let b(s) = 8*s**4 - 82*s**3 + 64*s**2 - 20*s. Let i(g) = -b(g) + 10*w(g). Determine v, given that i(v) = 0.
-42, 0, 1
Suppose 26*r - 7 = 19. Let v be (7/2 + r)*(-84)/(-252). Let -v*n**2 - 15/2*n - 6 = 0. Calculate n.
-4, -1
Factor 8/3*s**4 + 236/15*s**3 + 24*s**2 + 54/5*s + 2/15*s**5 + 0.
2*s*(s + 1)**2*(s + 9)**2/15
Let x(l) be the third derivative of l**6/1020 - 7*l**5/170 + 55*l**4/102 - 6667*l**2. Factor x(s).
2*s*(s - 11)*(s - 10)/17
Let p(v) be the first derivative of 2*v**5/15 - 41*v**4/6 + 110*v**3 - 225*v**2 - 9000*v + 932. Find d, given that p(d) = 0.
-4, 15
Let q(v) = -4*v**2 - 3*v + 1. Let d(l) = -13*l**2 - 41*l - 109. Let s(b) = -d(b) + 3*q(b). Suppose s(p) = 0. Calculate p.
-28, -4
Let t(x) be the first derivative of 0*x - 24*x**2 - 15/2*x**6 - 128*x**4 - 152 - 348/5*x**5 - 272/3*x**3. Find a such that t(a) = 0.
-6, -2/3, -2/5, 0
Suppose -7*p + 5*r - 3 = -8*p, 4*p - 12 = -2*r. Suppose -4*c - 5*m = -15, 5 = 139*m - 144*m. Find y, given that -1/3*y**p - 7/3*y**2 - 3 - c*y = 0.
-3, -1
Suppose 4*z - 3017 + 2991 = -3*h, 3*z = 3*h + 9. Factor -26/3*v**3 + 2*v + 0 - 13/3*v**h - 7/3*v**4.
-v*(v + 1)*(v + 3)*(7*v - 2)/3
Let a(x) = x**2 + 17*x + 71. Let h be a(-8). Let q(l) = 2*l + 1. Let o(t) = -45*t**2 + 108*t - 16. Let z(u) = h*o(u) + 4*q(u). Let z(d) = 0. Calculate d.
2/9, 2
Let m(p) be the second derivative of -p**7/2 - 43*p**6/10 - 27*p**5/2 - 41*p**4/2 - 31*p**3/2 - 9*p**2/2 + 2277*p. Find h, given that m(h) = 0.
-3, -1, -1/7
Let n(g) be the second derivative of -g**5/300 - g**4/24 - 37*g**2 - 6*g. Let w(t) be the first derivative of n(t). Factor w(j).
-j*(j + 5)/5
Factor -2/11*w**2 + 7672/11*w - 7357448/11.
-2*(w - 1918)**2/11
Solve 23*b**3 + 858*b**2 + 8802 - 3*b - 9660 - 20*b**3 = 0 for b.
-286, -1, 1
Let n(b) = -3*b**4 + 691*b**3 + 8*b**2 + 24. Let q(x) = -2*x**4 + 460*x**3 + 5*x**2 + 15. Let w(y) = 5*n(y) - 8*q(y). Determine o so that w(o) = 0.
0, 225
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