+ 15*s**t - s = 0 for s.
-1, 0, 1, 2
Let m = 409 + -409. Let k(c) be the second derivative of -1/66*c**4 + 6*c + 2/33*c**3 + m - 1/110*c**5 + 0*c**2. Factor k(v).
-2*v*(v - 1)*(v + 2)/11
Let b(n) be the second derivative of -1/4*n**2 - 1/80*n**5 + 5 + 1/8*n**3 + 0*n**4 + 5*n. Let b(h) = 0. Calculate h.
-2, 1
Let n(q) be the first derivative of 27*q**4/2 + 976*q**3/3 - 477*q**2 - 76*q + 425. Factor n(z).
2*(z - 1)*(z + 19)*(27*z + 2)
Determine h, given that 1352/15 - 26/5*h - 2/15*h**2 = 0.
-52, 13
Let g(a) be the first derivative of 2*a**3/21 + 226*a**2/7 - 1279. Factor g(y).
2*y*(y + 226)/7
Let i be 8/(4/(-600)*-4). Suppose i*n**2 - 108*n**3 - 132*n + 62*n + 16 - 135*n + 29*n = 0. What is n?
1/9, 2/3, 2
Let n(t) be the second derivative of t**4/6 + 544*t**3/3 + 73984*t**2 + t + 920. Determine f so that n(f) = 0.
-272
Let i(y) be the first derivative of y**4/6 - 146*y**3/9 - y**2/3 + 146*y/3 + 9322. Factor i(z).
2*(z - 73)*(z - 1)*(z + 1)/3
Let p(o) be the first derivative of -279*o**5/5 - 141*o**4/2 - o**3 + 8842. Factor p(w).
-3*w**2*(w + 1)*(93*w + 1)
Factor 0*f - 42*f**4 - 85*f**3 - 128/3*f**2 + 1/3*f**5 + 0.
f**2*(f - 128)*(f + 1)**2/3
Suppose -5*y - 4687 = -2*x + 1570, -3*y = -5*x + 3758. Let m = y - -1254. Find k, given that 0*k + 2/9*k**4 + 0 + 0*k**m + 0*k**2 = 0.
0
Let m(z) = 2*z**2 - 2. Let r = -663 + 662. Let o be m(r). Factor -2/9*l**5 + o*l**2 + 0*l - 2/9*l**3 + 0 - 4/9*l**4.
-2*l**3*(l + 1)**2/9
Let i(a) = a + 66. Let p be i(-8). Find b such that -103 + 18*b + p + 5*b**2 - 39*b - 19*b = 0.
-1, 9
Let d(r) be the third derivative of 1/180*r**6 + 1/60*r**5 + 0 + 0*r + 11/3*r**3 + 0*r**4 - 3*r**2. Let s(i) be the first derivative of d(i). Factor s(n).
2*n*(n + 1)
Suppose 3*d - 11*f + 7*f - 487 = 0, -2*f = 2*d - 306. Suppose 148*m - d*m = -36. Determine u, given that 0 + 0*u + 2/3*u**5 - 2/3*u**3 - u**m + 0*u**2 = 0.
-1/2, 0, 2
Let v = 6787 - 169673/25. Let l(u) be the first derivative of -10 + 0*u**2 + 0*u**3 + 1/5*u**4 - v*u**5 + 0*u. Factor l(y).
-2*y**3*(y - 2)/5
Let y = -727 + 998. Solve -3*z**5 + 13*z**4 - 24*z + 20*z**4 + 190*z**3 + 75*z**2 - y*z**3 = 0 for z.
0, 1, 8
Suppose 243*r - 176 = -358*r + 1026. Determine w so that -2/3*w**3 - 20/3*w**r - 64/3*w - 64/3 = 0.
-4, -2
Factor -59 - 51/8*b + 1/8*b**2.
(b - 59)*(b + 8)/8
Let 213*w - 744/7 + 3/7*w**3 - 750/7*w**2 = 0. Calculate w.
1, 248
Solve 1783323/2 - 2313*l + 3/2*l**2 = 0.
771
Determine p so that 6*p - 56/3 - 1/3*p**2 = 0.
4, 14
Suppose 6*i + 0 = 12. Suppose 2*b - 4 = -y, i*y = 2*b + 6*y - 4. Find c, given that -44*c**3 + 20*c - 4*c**b + 48*c**3 - 8 - 12*c**2 = 0.
1, 2
Find v, given that 5*v**4 + 4205 + 555/2*v**3 - 20445/2*v + 3485*v**2 = 0.
-29, 1/2, 2
Let c(r) = -4*r**4 + 220*r**3 - 188*r**2 - 1780*r + 2572. Let b(w) = 4*w**4 - 220*w**3 + 189*w**2 + 1781*w - 2567. Let t(x) = 4*b(x) + 5*c(x). Factor t(g).
-4*(g - 54)*(g - 2)**2*(g + 3)
Let z(d) be the first derivative of 5*d**6/144 - 7*d**5/24 - 2*d**4/3 - 5*d**3/9 + 14*d**2 + 133. Let o(q) be the second derivative of z(q). Factor o(g).
(g - 5)*(5*g + 2)**2/6
Suppose 0 = 36*c - 63*c. Let g = 612 - 608. Factor 0*m**2 + 0*m - 1/7*m**3 + 0 + 1/7*m**5 + c*m**g.
m**3*(m - 1)*(m + 1)/7
Let p = 2057/15 - 137. Let i(l) be the first derivative of -p*l**5 - 1/6*l**4 + 2*l**3 + 8/3*l - 3 - 11/3*l**2. Factor i(c).
-2*(c - 1)**3*(c + 4)/3
What is z in 0 + 868*z - 2/3*z**2 = 0?
0, 1302
Let m(f) = f - 10. Let h be m(14). Solve -3*t**3 + 0*t**2 + 2*t**2 + t**h - 5*t**2 + 2*t + 2*t**2 - 54*t**5 + 55*t**5 = 0.
-2, -1, 0, 1
Let y(j) = -5*j**3 - 3*j**2 - 6*j - 4. Let x be y(-1). Let k(a) = a**3 + a + 14. Let l(t) = t**3 - t**2 + 15. Let n(f) = x*l(f) - 3*k(f). Solve n(w) = 0.
-2, 3
Suppose -8/3 - 12*f - 10*f**2 - 7/3*f**3 = 0. What is f?
-2, -2/7
Suppose 383 = -14*u + 47. Let h = u + 27. Determine x so that -2/7*x**4 + 0 + 10/7*x**2 + 2/7*x**h + 6/7*x = 0.
-1, 0, 3
Let p(n) be the first derivative of 38/51*n**3 - 7/34*n**4 + 6/17*n**2 - 246 + 0*n. Let p(k) = 0. What is k?
-2/7, 0, 3
Determine c, given that 2/9 - 3349/9*c + 3347/9*c**2 = 0.
2/3347, 1
Let b be (5 - 2)/((-1)/(-15)). Let r(y) = y**2 + 7*y + 13. Let m be r(-5). Factor -25 - b*d - 6*d**3 - 15*d**2 + 7*d**3 + 4*d**m.
5*(d - 5)*(d + 1)**2
Let t(i) be the first derivative of i**6/8 - 11*i**5/12 + 65*i**4/24 - 25*i**3/6 + 80*i**2 - 119. Let w(l) be the second derivative of t(l). Factor w(x).
5*(x - 1)**2*(3*x - 5)
Let o(u) be the second derivative of u**4/54 + 16*u**3/27 - 64*u**2/3 - 2*u - 3316. Factor o(j).
2*(j - 8)*(j + 24)/9
Let f(t) = 70*t**3 + 3065*t**2 + 23520*t - 201765. Let y(a) = 5*a**3 + 219*a**2 + 1680*a - 14412. Let h(u) = 4*f(u) - 55*y(u). Factor h(l).
5*(l - 5)*(l + 24)**2
Let u(w) be the second derivative of -1/48*w**4 + 1/4*w**3 - 83*w + 0 + 0*w**2 - 1/80*w**5. Factor u(n).
-n*(n - 2)*(n + 3)/4
Suppose -4*v = -0*v - 3*z - 260, 8 = 2*z. Suppose -127*w - 4*w**3 - 40*w**2 - 60 - w - v = 0. What is w?
-4, -2
Let b be -349*(44/(-12) - -3). Let w = 233 - b. Factor w*k**2 + k**4 + 1/3*k**5 + k**3 + 0 + 0*k.
k**2*(k + 1)**3/3
Let u(v) be the third derivative of 0 + 0*v - 5/24*v**4 + 0*v**3 + 113*v**2 - 1/12*v**5. Find m, given that u(m) = 0.
-1, 0
Let l be (-4)/6*(4/6 - (-737)/(-201)). Let y(k) be the second derivative of 25*k**l + 0 + 5/4*k**4 - 85/6*k**3 - 16*k. Let y(v) = 0. What is v?
2/3, 5
Let j(y) = -y**2. Let b(v) = -10*v**2 - 272 + 6*v + 272 + 2*v**3. Let u(w) = b(w) - 2*j(w). Factor u(i).
2*i*(i - 3)*(i - 1)
Let q = 5 - -7. Let v(c) = -c**3 + 12*c**2 - c + 14. Let y be v(q). Suppose 0*p**4 - 9*p**3 - 2*p**y + 4*p**2 + 7*p**4 + 0*p**2 = 0. Calculate p.
0, 2/7, 1
Let q(v) be the first derivative of v**5/15 - 251*v**4/6 + 1001*v**3/9 - 250*v**2/3 + 1894. Determine z so that q(z) = 0.
0, 1, 500
Let j(t) = -t**3 - 24*t**2 - 46*t - 42. Let f be j(-22). Suppose -961 + 3*v - 65*v + v**f - 2*v**2 = 0. What is v?
-31
Let c = -22475/19 - -1183. Let h(u) be the first derivative of 0*u - 2/19*u**5 + 1/57*u**6 - 14/57*u**3 + c*u**2 - 10 + 9/38*u**4. Factor h(q).
2*q*(q - 2)*(q - 1)**3/19
Let k be 800/376 - (2 + 0). Let a = k - -29/141. Factor -1/3*q**3 - a*q + 0 - 2/3*q**2.
-q*(q + 1)**2/3
Let q(n) be the second derivative of -n**7/14 - n**6/10 + 51*n**5/20 + 17*n**4/4 - 8*n**3 - 24*n**2 + 2*n - 597. Solve q(a) = 0.
-4, -1, 1, 4
Let q(s) be the third derivative of -s**5/12 + 185*s**4/8 - 2750*s**3/3 - 31*s**2 + 10*s - 1. Solve q(v) = 0 for v.
11, 100
Let z = 432 - 430. Let -8 - 2*m**3 + 12*m - 20*m**3 + 4*m**4 + 4*m**z + 10*m**3 = 0. Calculate m.
-1, 1, 2
Let r(a) be the second derivative of 3/40*a**6 + 0*a**2 - 29/80*a**5 + 0 + 13/16*a**4 - 3/4*a**3 - 1/168*a**7 + 5*a. What is p in r(p) = 0?
0, 1, 2, 3
Let n be 351/546 + 4 + 14/(-4). Factor -8/7*j**2 + 2/7*j + 12/7*j**3 + 2/7*j**5 + 0 - n*j**4.
2*j*(j - 1)**4/7
Let i(v) be the first derivative of v**6/6 - 92*v**5/45 + 49*v**4/6 - 4*v**3 - 13*v**2/2 - 38. Let q(p) be the second derivative of i(p). Factor q(f).
4*(f - 3)**2*(15*f - 2)/3
Let t = 456 + -448. Suppose t = 32*n - 28*n. Solve 0*j - 2/13*j**n + 0 + 2/13*j**3 = 0.
0, 1
Let m(x) be the first derivative of x**2 + 2/9*x**6 + 0*x + 71 + 2/5*x**5 + 2/9*x**3 - 3/2*x**4. Solve m(v) = 0 for v.
-3, -1/2, 0, 1
Let r be (2 - 49/35) + (-205501)/(-445). Let -136/5*g - 2/5*g**2 - r = 0. Calculate g.
-34
Let b(d) be the first derivative of -7*d**3/3 - 877*d**2/2 - 250*d + 704. Let b(t) = 0. Calculate t.
-125, -2/7
Let t be (((-1020)/(-14))/(-6))/(8/(-56)). Let v(z) be the first derivative of -155/2*z**2 - 25*z - 45/4*z**4 + 4 - t*z**3. Factor v(x).
-5*(x + 5)*(3*x + 1)**2
Let t(z) = -17*z**3 - 377*z**2 + 769*z - 371. Let s(q) = -4*q**3 + q**2 + q + 3. Let n(p) = 4*s(p) - t(p). Factor n(g).
(g - 1)**2*(g + 383)
Suppose -5*w = 10, 4*z + 2*w = 2 + 2. Factor 4563*x - 4*x**3 + 4*x**4 - 4559*x - 2*x**2 - 2*x**z.
4*x*(x - 1)**2*(x + 1)
Let z(j) = -5*j**3 - 30*j**2 + 160. Let p(h) = 2*h**3 + 176 - 7*h**3 - 16 - 30*h**2. Let a be -3 + 3/(-2)*(11 - 63/7). Let m(w) = a*z(w) + 5*p(w). Factor m(s).
5*(s - 2)*(s + 4)**2
Let m(a) be the second derivative of a**4/48 - 689*a**3/12 + 474721*a**2/8 - 545*a. Factor m(g).
(g - 689)**2/4
Find v, given that -3/5*v**3 + 513/5*v + 252/5*v**2 + 258/5 = 0.
-1, 86
Let b(g) = 4*g**3 + g**2 - g - 1. Let p be b(1). Factor 14*m + 0 + p*m**2 - 2 - 13 - 2*m.
3*