u.
u**2*(u - 1)*(u + 1)**2/4
Let h be ((-86)/(-30) - 3) + 13927/(-60). Let p = -230 - h. Factor -p*f**5 + 0 - 3/4*f**2 - 3/4*f**3 + 15/4*f**4 + 0*f.
-3*f**2*(f - 1)**2*(3*f + 1)/4
Let h(l) be the second derivative of -l**8/2240 + l**7/560 + l**6/480 - l**5/80 - 17*l**3/6 + 45*l. Let x(y) be the second derivative of h(y). Factor x(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/4
Suppose -4*y - 8 = 4*b, 3*y - 26 = -2*y + 4*b. Let p be (y/4)/((-4)/(-48)). Determine a so that 4*a**3 - 12*a - 3*a**4 + 2*a**3 + p*a + 3*a**2 = 0.
-1, 0, 1, 2
Let w(z) be the second derivative of z**4/96 + z**3/12 + z**2/4 - 255*z. Solve w(s) = 0.
-2
Let j(g) = -g**3 + 2*g**2 + 3*g - 6. Let q(p) = -p**3 + p**2 + 3*p - 5. Let c(o) = 3*j(o) - 4*q(o). Let b be c(-3). Factor 3*n - 3*n - 2 + 4 + 3*n + n**b.
(n + 1)*(n + 2)
Let u(x) be the third derivative of -x**5/450 - 2*x**4/45 - 7*x**3/45 + 63*x**2. Factor u(o).
-2*(o + 1)*(o + 7)/15
Let a(i) be the third derivative of -2/3*i**3 - i**4 + 0*i - 5/24*i**6 + 0 - 3/4*i**5 + 5*i**2. Factor a(o).
-(o + 1)*(5*o + 2)**2
Let j(s) be the second derivative of -s**9/68040 - s**8/10080 - s**7/5670 - s**4/3 + 12*s. Let c(d) be the third derivative of j(d). Let c(n) = 0. What is n?
-2, -1, 0
Let o = 34 + 80. Let z = o + -111. What is h in -4*h**2 - 4/3*h**z + 0 - 8/3*h = 0?
-2, -1, 0
Let u(f) be the third derivative of -f**5/15 + 8*f**4/3 + 101*f**2. Factor u(m).
-4*m*(m - 16)
Let m(y) be the first derivative of y**6/135 - 4*y**5/45 + y**4/3 - 3*y**2 - 11*y - 6. Let u(g) be the first derivative of m(g). Factor u(q).
2*(q - 3)**3*(q + 1)/9
Suppose 5*s - s + j = -83, 2*j - 54 = 2*s. Let d = 22 + s. Factor -2/9*u**2 + 0*u + d.
-2*u**2/9
Let y(z) be the third derivative of -1/3*z**3 + 0*z + 7/24*z**4 + 0 + 14*z**2 - 3/20*z**5 + 1/24*z**6 - 1/210*z**7. Solve y(g) = 0 for g.
1, 2
Let -28/3*v + 16/3 + 28/3*v**3 - 16/3*v**2 = 0. Calculate v.
-1, 4/7, 1
Determine q so that -42321*q**2 + 84*q - 389*q + 42771*q**2 + 50 = 0.
5/18, 2/5
Let r = 50 + -48. Factor -91*l + 5*l**4 + 91*l + 5*l**3 - 10*l**r.
5*l**2*(l - 1)*(l + 2)
Let g(b) = -40*b + 3. Let p be g(-1). Find t such that 52*t**2 - 3*t**3 + 26*t**2 - 80 - 40*t - 2*t**3 - p*t**2 = 0.
-1, 4
Let c = -157 - -175. Let u = -8 + 13. Suppose -4*y**2 - 5*y**2 - c*y**u - 32*y**3 - 28*y**4 - 14*y**4 + y**2 = 0. What is y?
-1, -2/3, 0
Let g(s) = -47*s**3 + 91*s**2 - 5*s - 3. Let n(a) = -6*a**3 - 16*a**3 - 6*a - 26*a**3 - 2 + 92*a**2. Let d(q) = -6*g(q) + 5*n(q). Factor d(r).
2*(r - 2)*(3*r - 1)*(7*r + 2)
Let g(b) be the third derivative of b**6/780 + b**5/65 + b**4/52 - 10*b**3/39 - b**2 + 6. Let g(v) = 0. What is v?
-5, -2, 1
Let c(w) be the first derivative of 7*w**5/20 - 3*w**4/4 + w**3/4 + w**2/4 + 54. Find t such that c(t) = 0.
-2/7, 0, 1
Let a(c) be the third derivative of 1/10*c**5 + 0*c**3 + 117/140*c**7 - 1/2*c**6 + 0*c**4 + 18*c**2 + 0 - 81/224*c**8 + 0*c. Factor a(y).
-3*y**2*(y - 1)*(9*y - 2)**2/2
Let n(q) be the second derivative of q**6/20 + 27*q**5/8 + 357*q**4/4 + 1127*q**3 + 6174*q**2 - 146*q - 2. Let n(v) = 0. Calculate v.
-14, -3
Let d(s) = 2*s**2 - 3*s**2 - 18*s + 15*s. Let z(q) = -50*q**2 - 54*q**2 + 5*q + 105*q**2. Let f(r) = 7*d(r) + 5*z(r). Find k such that f(k) = 0.
0, 2
Let p = 293 + -291. Let d(r) be the first derivative of 8 - 1/3*r**3 + 7/8*r**4 - 1/4*r**p - 2/5*r**5 + 0*r. Let d(x) = 0. Calculate x.
-1/4, 0, 1
Let d = 34 + -32. Factor -3*z**d - 12 + 15*z - 49*z + 22*z.
-3*(z + 2)**2
Let i = 7 + -4. Let v(m) = 11*m**3 - 7*m**2 + m - 5. Let c(a) = -6*a**3 + 4*a**2 - a + 3. Let t(p) = i*v(p) + 5*c(p). Find d such that t(d) = 0.
-2/3, 0, 1
Let y(t) be the first derivative of -t**4/9 - 200*t**3/27 + 34*t**2/3 - 694. Factor y(u).
-4*u*(u - 1)*(u + 51)/9
Let w be (1/(-8))/((-4)/16*2). Let g(l) = l**2 + 6*l - 110. Let p be g(-14). Factor -1/2 - w*c**p - 3/4*c.
-(c + 1)*(c + 2)/4
Let x = -215 - -218. Let u(k) be the third derivative of -1/14*k**4 + 0*k + 1/210*k**5 + 0 - 6*k**2 + 3/7*k**x. Factor u(j).
2*(j - 3)**2/7
Let p(y) be the second derivative of -2*y**7/21 + 14*y**6/5 - 126*y**5/5 + 310*y**4/3 - 214*y**3 + 234*y**2 - y - 327. Solve p(t) = 0.
1, 3, 13
Let y(f) be the third derivative of -f**8/448 - 17*f**7/840 + 53*f**6/480 + 99*f**5/80 - 65*f**4/48 - 25*f**3/3 + 110*f**2. Determine g so that y(g) = 0.
-5, -2/3, 1, 4
Let b(w) = -8*w**2 - 8*w + 30. Let i(z) = 23*z**2 + 24*z - 85. Let v(a) = -17*b(a) - 6*i(a). Factor v(c).
-2*c*(c + 4)
Let g be ((-196)/200 - -1)/1. Let f(c) be the second derivative of -1/5*c**2 - 1/10*c**4 - 2*c - 1/5*c**3 - g*c**5 + 0. Find v, given that f(v) = 0.
-1
What is g in -33*g + 5808 + 3*g**2 + 315*g + 0*g**2 - 18*g = 0?
-44
Let q(v) = -v + 82. Let a be 0/(-1 - (-9)/3). Let k be q(a). Suppose 135*h**2 + 16 + k*h**2 + 145*h**4 - 304*h**3 - 112*h - 25*h**5 + 63*h**2 = 0. What is h?
2/5, 1, 2
Let q(k) = 10*k**4 - 35*k**3 + 50*k**2 - 25*k. Let b(i) = -11*i**4 + 36*i**3 - 51*i**2 + 26*i. Let t(w) = -5*b(w) - 6*q(w). Factor t(a).
-5*a*(a - 4)*(a - 1)**2
Let d(k) = 6*k**3 + 14*k**2 + 66*k + 46. Let p(x) = -x**3 + 2*x**2 + x + 1. Let f = -15 - -16. Let b(g) = f*d(g) + 4*p(g). Let b(a) = 0. Calculate a.
-5, -1
Factor -500/7 - 240/7*f**2 - 32/7*f**3 - 600/7*f.
-4*(2*f + 5)**3/7
Factor 128*a**4 - 45*a**4 - 40*a**4 - 51*a**4 + 24*a - 2*a**2 - 8 - 24*a**3.
-2*(a + 2)**2*(2*a - 1)**2
Let w(l) be the third derivative of l**9/13608 - l**8/2520 + l**7/1260 - l**6/1620 - 4*l**3/3 + 10*l**2. Let b(c) be the first derivative of w(c). Factor b(t).
2*t**2*(t - 1)**3/9
Let x be ((-2)/(-15))/((-8)/(-12)). Solve q + x*q**2 + 4/5 = 0.
-4, -1
Factor 70*m + 50 - 2/5*m**5 - 92/5*m**3 + 26/5*m**4 - 4*m**2.
-2*(m - 5)**3*(m + 1)**2/5
Let z(b) be the first derivative of b**5 + 15*b**4/4 - 5*b**3/3 - 15*b**2/2 + 221. Determine c, given that z(c) = 0.
-3, -1, 0, 1
Let m(s) be the first derivative of 169*s**4/4 + 559*s**3/3 + 80*s**2 + 12*s + 281. Factor m(l).
(l + 3)*(13*l + 2)**2
Let t(c) be the second derivative of 2*c**6/15 - 31*c**5/5 + 99*c**4 - 1210*c**3/3 - 5324*c**2 + 3*c - 22. Factor t(l).
4*(l - 11)**3*(l + 2)
Let u(x) = -x**3 + 7*x**2 - 10*x + 2. Let f be u(5). Find y such that 5*y**3 - f*y**2 + y**3 - 4*y**3 = 0.
0, 1
Determine a so that 37/3*a**3 + 7/3*a + 2/3 - 13/3*a**4 - 11*a**2 = 0.
-2/13, 1
Let l(u) be the second derivative of u**5/100 + 3*u**4/40 + u**3/5 - 7*u**2/2 + 9*u. Let g(o) be the first derivative of l(o). Factor g(y).
3*(y + 1)*(y + 2)/5
Let p = 2260 + -2258. Let q(s) be the first derivative of -42/5*s**5 - 13 + 6*s**p + 69/4*s**4 + 0*s - 16*s**3 + 3/2*s**6. Solve q(x) = 0.
0, 2/3, 1, 2
Let d(q) be the third derivative of 0*q + 0*q**4 + 3*q**2 - 2/3*q**3 + 0 + 1/120*q**6 + 1/20*q**5. Factor d(h).
(h - 1)*(h + 2)**2
Let q(j) be the first derivative of -j**7/1260 + j**5/360 + 7*j**2/2 - 1. Let t(o) be the second derivative of q(o). Find i, given that t(i) = 0.
-1, 0, 1
Let v(l) be the first derivative of l**6/3 + 8*l**5/15 - 8*l**4/3 + 4*l**3/9 + 13*l**2/3 - 4*l - 136. Solve v(a) = 0 for a.
-3, -1, 2/3, 1
Let w(u) be the first derivative of -3*u**8/112 + u**6/72 - 9*u**3 - 29. Let i(v) be the third derivative of w(v). Factor i(g).
-5*g**2*(3*g - 1)*(3*g + 1)
Let i(y) = 6*y - 5 - 7*y - 8*y - 2. Let p be i(-1). Factor -1/5*w + 0 - 1/5*w**p.
-w*(w + 1)/5
Let n(l) be the third derivative of 0*l + 0*l**3 - 21*l**2 - 1/42*l**7 + 2/3*l**5 + 7/24*l**6 + 0*l**4 + 0. Determine i so that n(i) = 0.
-1, 0, 8
Let w(t) be the third derivative of -1/45*t**5 + 2/315*t**7 + 14*t**2 + 0*t**3 + 0*t + 0 + 0*t**4 + 0*t**6. Determine i, given that w(i) = 0.
-1, 0, 1
Let c(h) be the first derivative of h**4/3 + 2*h**3/3 - 4*h**2 - 5*h + 15. Let o(n) be the first derivative of c(n). Find a such that o(a) = 0.
-2, 1
Let l be 1 + (-4)/5 + (-14)/2205*-21. Suppose 2*g + 2*g = 12. Suppose -l*d**2 - d**4 + 0 - 1/3*d**5 - d**g + 0*d = 0. What is d?
-1, 0
Let o(c) = c**3 + 15*c**2 - 17*c - 22. Let y be o(-16). Let m(z) = -5*z**2 - 5*z. Let u(j) = -5*j**2 - 4*j. Let s(f) = y*m(f) + 5*u(f). Factor s(r).
5*r*(r + 2)
Let x(a) = 4*a - 12. Suppose -5*v - 3*d + 15 = 0, 5*v = 3*d - 4*d + 15. Let k be x(v). Suppose 2/11*f - 2/11*f**4 + 6/11*f**3 + k - 6/11*f**2 = 0. What is f?
0, 1
Suppose 7*w**3 + 50*w - 455*w**2 - 3*w**3 + 344*w**2 + 316*w**2 + 16*w**3 = 0. Calculate w.
-10, -1/4, 0
Let u(w) be the third der