-3*t**3 - 5*t**3 + 3*t**4 + 5*t**f + 6*t - 3*t**3 - 3 = 0.
-1, 1
Let j(p) be the second derivative of -p**5/20 + 5*p**4/12 + p**3/3 - 2*p**2 + 2*p. Let v(i) = i**3 - 6*i**2 - 2*i + 5. Let l(y) = 5*j(y) + 4*v(y). Factor l(z).
-z*(z - 2)*(z + 1)
Let b be 70/(-15)*(-18)/21. Suppose 8*v**2 - 17*v**5 + 16*v**3 - 23*v**5 - 35*v**b - 39*v**4 = 0. Calculate v.
-2, -1/4, 0, 2/5
Suppose 3456 - 4464*c + 46*c**3 + 1923/2*c**2 + 1/2*c**4 = 0. Calculate c.
-48, 1, 3
Let g(j) be the first derivative of j**5/5 + j**4/3 - 2*j - 10. Let v(y) be the first derivative of g(y). Factor v(l).
4*l**2*(l + 1)
Let h(k) be the third derivative of 1/30*k**6 + 0*k**4 + 0*k**3 + 0*k**5 - 2/105*k**7 + 0 + k**2 + 0*k. Let h(q) = 0. Calculate q.
0, 1
Let -8*v**2 - 7*v**2 - 5*v**4 + 6*v**2 + 2*v**2 - 10*v - 18*v**2 - 20*v**3 = 0. Calculate v.
-2, -1, 0
Let x = -2762 - -2772. Determine m, given that -21/2*m**3 + 0 - 2*m + 10*m**2 - x*m**4 + 25/2*m**5 = 0.
-1, 0, 2/5, 1
Suppose 25 = 5*t, -t = 3*b - 3*t - 8. Suppose -b*q + 3*q = -9. Determine k, given that 0 + 1/2*k**2 + 0*k - 1/2*k**q = 0.
0, 1
Let x = 46 - 42. Factor 12*p + 29 + x*p**2 - 33 - 12*p.
4*(p - 1)*(p + 1)
Suppose 304 = 3*b - 5*b + 4*d, 5*b + 742 = 4*d. Let k = b + 440/3. Factor k*t**3 + 0*t**2 + 0 + 10/3*t**4 + 0*t.
2*t**3*(5*t + 1)/3
Let z(s) be the first derivative of -5/4*s**2 - 25/4*s + 11 - 1/12*s**3. Factor z(b).
-(b + 5)**2/4
Let l(o) be the first derivative of -2/7*o + 1/7*o**3 - 1/14*o**2 - 5. Solve l(u) = 0.
-2/3, 1
Let s(x) = -4*x**3 + 8*x**2 + 2*x + 2. Let r(k) = k**3 - 4*k**2 - 1. Let a(h) = 2*r(h) + s(h). Solve a(w) = 0.
-1, 0, 1
Let w(i) = -3*i**2 + 28*i - 6. Let v be w(9). Determine f so that 0 + 2/13*f**v - 6/13*f**2 + 0*f = 0.
0, 3
Suppose 195*u = 72*u - 273*u + 1584. Find c such that 8/11*c**u - 8/11*c**2 + 0 - 6/11*c + 2/11*c**5 + 4/11*c**3 = 0.
-3, -1, 0, 1
Let y(h) be the third derivative of h**5/180 - 11*h**4/36 + 121*h**3/18 + 80*h**2. Factor y(b).
(b - 11)**2/3
Let q(a) be the second derivative of -a**6/2 + 7*a**5/4 + 5*a**4/2 - 10*a**3 - 20*a**2 + 31*a. Suppose q(l) = 0. Calculate l.
-1, -2/3, 2
Let y(s) = -8*s**3 + 199*s**2 + 703*s + 665. Let f(z) = 2*z**3 - 66*z**2 - 234*z - 222. Let d(v) = -7*f(v) - 2*y(v). Factor d(j).
2*(j + 2)**2*(j + 28)
Suppose 6 - 26 = -5*b. Factor 4*d + 4*d**2 - 8*d - b*d.
4*d*(d - 2)
Let z(a) = 23*a**3 + 3*a**2 - 23*a + 23. Let j(n) = -11*n**3 - n**2 + 11*n - 11. Let i be ((-30)/20)/(2/8). Let f(s) = i*z(s) - 13*j(s). Solve f(y) = 0 for y.
-1, 1
Let j(f) be the first derivative of -11*f**6/27 - 14*f**5/45 + 2*f**4/9 - 17. Factor j(y).
-2*y**3*(y + 1)*(11*y - 4)/9
Suppose l + 9 = s, l + 57 = 5*s - 0*l. Suppose i = -i + s. Suppose 11*t + 6*t**2 + i*t**2 - 4 - 14*t**2 - 5*t = 0. Calculate t.
1, 2
Suppose -4*r - 441 = -453. Let s(v) be the second derivative of -1/2*v**2 + 0 + 0*v**r + 7*v + 1/12*v**4. Suppose s(f) = 0. What is f?
-1, 1
Suppose 6*d = 3*d + 192. Determine x so that 192*x**3 - 77*x**2 - 107*x**2 + 304*x**4 - 8*x**2 - d*x + 84*x**5 = 0.
-2, -2/7, 0, 2/3
Find v such that -3/4*v**4 - 45*v - 177/2*v**2 + 150 - 63/4*v**3 = 0.
-10, -2, 1
Let z(c) be the third derivative of -c**7/1008 - 5*c**6/144 - 25*c**5/48 + c**4/24 - 13*c**2. Let d(o) be the second derivative of z(o). Factor d(v).
-5*(v + 5)**2/2
Let i(z) = -23*z**2 + 53*z + 32. Let w(g) = 3*g**3 - g**2 + g + 1. Let p(v) = -i(v) + 2*w(v). Find s such that p(s) = 0.
-5, -1/2, 2
Let f be 33/(-21) + (6 - 4). Let h(y) be the first derivative of 2/7*y**3 + f*y**2 + 2/7*y - 7 + 1/14*y**4. Suppose h(g) = 0. Calculate g.
-1
Suppose 5*s - 24 - 16 = 0. Let g be (-26)/(-8) - (-5 + s). Factor -g - 1/2*d**3 + 1/2*d + 0*d**2 + 1/4*d**4.
(d - 1)**3*(d + 1)/4
Let -92*v**2 - 359*v**2 - 156*v**3 + 24 + 148*v**4 - 264*v**2 - 404*v - 178*v**2 + 161*v**2 = 0. What is v?
-1, 2/37, 3
Let w(y) be the second derivative of -y**5/100 - 4*y**4/15 - 7*y**3/6 + 26*y**2/5 + 4*y + 10. Factor w(x).
-(x - 1)*(x + 4)*(x + 13)/5
Suppose -q - 5*g - 8 = 0, 3*q - q - 14 = 5*g. Let m be (-3)/3 - (-3 + (4 - q)). Factor 0*x - 1/2*x**2 + m.
-x**2/2
Let u(v) = 47*v**2 - 869*v - 254. Let y(g) = 50*g**2 - 870*g - 255. Let l(w) = -5*u(w) + 4*y(w). Determine p, given that l(p) = 0.
-2/7, 25
Let b(k) be the first derivative of k**8/5040 + k**7/840 + k**6/540 - 5*k**3/3 - 20. Let u(j) be the third derivative of b(j). Let u(g) = 0. Calculate g.
-2, -1, 0
Suppose 0 = 3*c - 6*c + 9. Find p such that -1 + 10*p**2 + c - 2*p**3 - 2 - 8*p = 0.
0, 1, 4
Let y(h) be the third derivative of h**8/11200 - h**7/1680 - h**6/600 + 23*h**5/60 - 12*h**2. Let a(u) be the third derivative of y(u). Factor a(s).
3*(s - 2)*(3*s + 1)/5
Let l(u) be the third derivative of -u**7/1575 - 79*u**6/450 - 1378*u**5/75 - 14045*u**4/18 + 148877*u**3/45 - u**2 - 345*u. Factor l(c).
-2*(c - 1)*(c + 53)**3/15
Let u(n) be the second derivative of -n**5/30 - 8*n**4/3 - 256*n**3/3 + 17*n**2/2 + 22*n - 2. Let l(i) be the first derivative of u(i). Factor l(o).
-2*(o + 16)**2
Factor -93 - 110*n**2 - 207 + 66 - 36 - 3*n**3 + 8*n**3 + 375*n.
5*(n - 18)*(n - 3)*(n - 1)
Let b be 1/3*120/80. Solve 0 - 3/2*t + b*t**2 = 0.
0, 3
Let t(w) be the first derivative of -w**4/3 - 16*w**3/9 + 2*w**2/3 + 16*w/3 + 82. Factor t(o).
-4*(o - 1)*(o + 1)*(o + 4)/3
Let l be ((75/20)/(-5))/((-1)/(-4)). Let w be -15 + 17 - (-2)/l. Determine m so that w*m - 2/9*m**2 - 2 = 0.
3
Let r(b) be the third derivative of 1/28*b**4 + 15*b**2 + 2/21*b**5 + 0 + 0*b**3 + 44/735*b**7 + 0*b + 23/210*b**6 + 5/392*b**8. Suppose r(z) = 0. Calculate z.
-1, -3/5, -1/3, 0
Let p(g) be the second derivative of g**4 - 4*g**3/3 + 10*g**2 - 7*g. Let a(h) = h**2 + h + 1. Let n(s) = -8*a(s) + p(s). Factor n(u).
4*(u - 3)*(u - 1)
Let m(g) = -43*g - 459. Let u be m(-11). Factor -u*t + 49/3*t**2 + 3.
(7*t - 3)**2/3
Let g(o) = -o**2 + 6*o - 8. Let s(k) = -k**2 + 6*k - 8. Let q(p) = -4*g(p) + 3*s(p). Let q(t) = 0. Calculate t.
2, 4
Let f(x) = x + 1. Let z(h) = -h**2 - 7*h - 22. Let v = 106 + -121. Let g(a) = v*f(a) + 5*z(a). Suppose g(p) = 0. What is p?
-5
Let l(w) be the first derivative of w**4/16 - 2*w**3/3 - w**2/8 + 2*w - 111. Factor l(g).
(g - 8)*(g - 1)*(g + 1)/4
Let i(o) be the first derivative of -2*o**3/9 + 22*o**2/3 - 227. Factor i(n).
-2*n*(n - 22)/3
Let b(d) = d - 1 - d**2 + 0*d**2 - d**2 + 3*d**2. Let u(c) = 2*c**4 + 2*c**3 - 4*c**2 - 4*c + 2. Let s(r) = 2*b(r) + u(r). Solve s(j) = 0.
-1, 0, 1
Let u(x) = x**4 - x**3 - x**2 + x. Let v(b) = -9*b**4 - 59*b**3 - 1080*b**2 + 1148*b. Let w(j) = 24*u(j) + 3*v(j). Let w(m) = 0. Calculate m.
-34, 0, 1
Factor 66*i - 3*i**3 - 1038 - 3*i**5 - 51*i**2 + 15*i**4 + 2077 - 1063.
-3*(i - 4)*(i - 1)**3*(i + 2)
Suppose 0 = -2*l - 28 + 92. Suppose 0 = -3*u - 5*h + 11, -2*u - 5*h + 12 = 3. What is p in -34*p**2 - 2*p - 4 + l*p**u + 6 + 2*p**3 = 0?
-1, 1
Let l(h) be the third derivative of 1/96*h**6 + 0*h - 17*h**2 - 1/280*h**7 + 1/12*h**3 - 5/96*h**4 + 1/240*h**5 + 0. What is j in l(j) = 0?
-1, 2/3, 1
Let i = 21493/87 + -247. Let z = i + 245/348. Determine t, given that 0 - 1/4*t**4 + z*t**2 + 0*t**3 - 1/2*t = 0.
-2, 0, 1
Let u(m) be the third derivative of m**9/1008 - m**7/140 + m**5/40 + 10*m**3/3 - 5*m**2. Let i(b) be the first derivative of u(b). Factor i(k).
3*k*(k - 1)**2*(k + 1)**2
Suppose 13*o - 16*o - 195 = 0. Let h be (-17)/(-42) - (o/(-30))/(-13). Find d, given that h*d**3 + 6/7*d**4 + 0 - 2/7*d**2 + 0*d = 0.
-1, 0, 1/3
Let q be 95/(-7) + (-180)/(-12). Factor 0 - 4/7*y - 2/7*y**4 - 8/7*y**3 - q*y**2.
-2*y*(y + 1)**2*(y + 2)/7
Let b(g) be the third derivative of 0 - 4/15*g**4 - 1/20*g**5 - 2/5*g**3 + 3/200*g**6 + 0*g + 4*g**2. Let b(x) = 0. What is x?
-2/3, 3
Let g(a) be the first derivative of -a**5/6 - 5*a**4/24 + 5*a**3/6 - 5*a**2/2 - 13. Let s(h) be the second derivative of g(h). Determine f so that s(f) = 0.
-1, 1/2
Suppose 0 = -5*l - s + 29, 2*l - s - 5 = 1. Let n(h) be the third derivative of -1/15*h**l + 0*h**4 + 0*h**3 + 7/60*h**6 + 0 - 2*h**2 + 0*h. Factor n(q).
2*q**2*(7*q - 2)
Let c(k) be the first derivative of 1/18*k**6 - 1/9*k**3 + 4 - 1/12*k**4 + 1/15*k**5 + 0*k**2 + 0*k. Factor c(w).
w**2*(w - 1)*(w + 1)**2/3
Solve 1/10*f**3 - 1/10*f + 4/5 - 4/5*f**2 = 0.
-1, 1, 8
Let s = -21496/7 + 3071. Factor -s*i + 0 + 2/7*i**2.
i*(2*i - 1)/7
Let z(n) be the third derivative of n**7/315 + n**6/