t**3 - 4*t**4 - 588/5*t - 212/5*t**2 + 232/5 = 0.
-1, 2/5, 1, 29
Let k = 175149/155 - 1130. Let u = 161/930 + k. Factor -7/6*l - u*l**3 + 1/2 + 5/6*l**2.
-(l - 3)*(l - 1)**2/6
Let d(r) be the second derivative of -16*r + 0 + 1/48*r**4 + 0*r**3 - 1/2*r**2. Find l such that d(l) = 0.
-2, 2
Suppose -58*u = -65*u. Let r = 41 - 118/3. Let 2/3*z + 1/3*z**4 + r*z**2 + u + 4/3*z**3 = 0. Calculate z.
-2, -1, 0
Let z = -15 + 15. Factor 7*a + z*a**3 + 19*a**2 - 10*a**3 + 5*a + 7*a**2.
-2*a*(a - 3)*(5*a + 2)
Let 654/11*f**2 + 954/11*f + 126/11*f**3 + 6/11*f**4 + 420/11 = 0. What is f?
-14, -5, -1
Factor -3/5*s**2 - 948/5*s - 74892/5.
-3*(s + 158)**2/5
Let r = -155 + 156. Let h be (r/5)/(2/(-4)*-2). Determine n, given that 1/5*n + h*n**2 + 0 = 0.
-1, 0
Suppose -2*k + 37 - 33 = 0. Factor -2/11*d**4 - 2/11*d**5 + 0*d**k + 0*d + 4/11*d**3 + 0.
-2*d**3*(d - 1)*(d + 2)/11
Suppose -3*n - 3*y + 1 = -2*n, 0 = -n - y + 3. Let u(z) be the second derivative of 1/6*z**n + 1/10*z**5 - z**2 - 1/3*z**3 - 2*z + 0. Factor u(d).
2*(d - 1)*(d + 1)**2
Let -8/23*z**4 - 32/23 - 8/23*z - 2/23*z**5 + 10/23*z**3 + 40/23*z**2 = 0. Calculate z.
-4, -2, -1, 1, 2
Let s(g) be the first derivative of -g**5 + 25*g**4/4 - 5*g**3 - 45*g**2/2 - 172. Let s(y) = 0. Calculate y.
-1, 0, 3
Let b(i) be the second derivative of -i**7/18 + 23*i**6/90 - 3*i**5/10 - 7*i**4/18 + 25*i**3/18 - 3*i**2/2 - 12*i. Solve b(t) = 0.
-1, 1, 9/7
Let g = -16 + 19. Suppose -8*n + 20 = -g*n. Factor 0 + 4*l - l**2 + 2 - n - l**2.
-2*(l - 1)**2
Let q(g) = -8*g**4 - 67*g**3 - 112*g**2 - 64*g + 11. Let o(z) = -2*z**4 - 17*z**3 - 28*z**2 - 16*z + 3. Let n(i) = 22*o(i) - 6*q(i). Factor n(h).
4*h*(h + 1)*(h + 2)*(h + 4)
Let q(j) = -2*j**3 - 4*j**2 + 16*j. Let v(a) = -a**2 + a - 1. Let z(c) = q(c) - 6*v(c). Solve z(b) = 0 for b.
-1, 3
Let i(l) = -2*l - 6. Let r be i(-5). Let v be 10 + -3 - (1 - -2). What is j in j**3 - j**4 + v*j + r*j**2 - 3*j**4 - 5*j**3 = 0?
-1, 0, 1
Let p(n) = -n**4 + 4*n**3 + 5*n. Let v(y) = y**4 - 3*y**3 - 4*y. Let o(d) = d**3 - 5*d**2 - d + 1. Let t be o(5). Let j(z) = t*p(z) - 5*v(z). Factor j(a).
-a**3*(a + 1)
Let b(y) be the first derivative of 128/55*y**5 - 24/11*y**4 - 6 + 2/11*y - 40/33*y**3 + 3/11*y**2. Determine v, given that b(v) = 0.
-1/4, 1/4, 1
Let k(h) be the second derivative of h**7/2940 + 11*h**6/420 + 121*h**5/140 + 13*h**4/12 + 12*h. Let g(m) be the third derivative of k(m). Factor g(a).
6*(a + 11)**2/7
Let k(t) = -9*t + 133. Let a be k(14). Suppose 2*s - a*s = 0. Solve 0*l + 0 - 1/7*l**2 + 1/7*l**4 + s*l**3 = 0.
-1, 0, 1
Let y(c) = c**2 + 985*c - 7944. Let v be y(8). Determine t so that 12/5*t**2 + v*t + 0*t**3 - 3/5*t**4 + 0 = 0.
-2, 0, 2
Factor 69 - 363*l + 7*l**2 - 433*l + 115*l + 125.
(l - 97)*(7*l - 2)
Suppose -13*x + 35*x - 16 = 14*x. Solve 0 + 12/7*b**4 + 0*b - 16/7*b**x + 16/7*b**3 = 0 for b.
-2, 0, 2/3
Factor -104*y**3 + 28*y**3 - 108*y + 40*y**3 + 108*y**2 + 4*y**4.
4*y*(y - 3)**3
Let h(o) be the second derivative of 50/3*o**3 + 65/6*o**4 - 20*o**2 + 7/4*o**5 + o + 0. Factor h(l).
5*(l + 2)**2*(7*l - 2)
Suppose v = 8 - 3. What is h in -2*h + 2*h - 3*h**2 - 1 + h**4 - v*h**3 + 5*h + 3*h**4 = 0?
-1, 1/4, 1
Let b = -75 - -119. Let n(a) = 8*a**3 - 34*a**2 + 22*a + 22. Let q(j) = -j**3 + 5*j**2 - 3*j - 3. Let p(l) = b*q(l) + 6*n(l). Let p(u) = 0. What is u?
-4, 0
Let r(h) be the second derivative of h**6/30 + 2*h**5/5 - 19*h**4/4 + 50*h**3/3 - 26*h**2 + 705*h. Factor r(u).
(u - 2)**2*(u - 1)*(u + 13)
Find v, given that 5*v**3 + 525*v + 4*v**2 - 515*v - 19*v**2 = 0.
0, 1, 2
Let l(f) be the third derivative of f**6/165 - 7*f**5/110 - 19*f**4/132 + 2*f**3/11 - 64*f**2. Find j, given that l(j) = 0.
-1, 1/4, 6
Let v(s) = -s**4 - s**3 - s**2. Let h(u) = -3*u**4 - 147*u**3 - 1571*u**2 - 3740*u - 2312. Let l(z) = h(z) + v(z). Suppose l(w) = 0. What is w?
-17, -2, -1
Let a = 2852/903 + -2/129. Let p = 17 + -17. Factor 2*b**4 + 32/7*b**3 + a*b**2 + p + 4/7*b.
2*b*(b + 1)**2*(7*b + 2)/7
Let j(n) be the second derivative of n**5/70 - n**4/14 - 10*n**3/21 - 158*n. Factor j(m).
2*m*(m - 5)*(m + 2)/7
Let z = -937/8 - -973/8. Factor 21*k - z - 49/2*k**2.
-(7*k - 3)**2/2
Factor -20/9*o**4 - 8/9*o - 28/9*o**2 - 4*o**3 - 4/9*o**5 + 0.
-4*o*(o + 1)**3*(o + 2)/9
Suppose -5*z + 241 - 191 = 0. Let p(o) be the second derivative of -z*o + 0 + 0*o**2 - 1/70*o**5 - 1/14*o**4 - 2/21*o**3. Solve p(b) = 0 for b.
-2, -1, 0
Let a be (101/2)/((-20)/(-40)). Suppose -104*q + a*q = -6. Let 0 + 4/3*b**q - 5/3*b**3 - 1/3*b + 2/3*b**4 = 0. Calculate b.
0, 1/2, 1
Suppose g - 5*g = 0. Suppose g = 3*v - 28 + 25. Determine w so that -v + 3/2*w - 1/2*w**2 = 0.
1, 2
Let c(q) be the second derivative of q**6/72 - 11*q**5/12 + 605*q**4/24 - 41*q**3/6 - 7*q. Let s(z) be the second derivative of c(z). Factor s(v).
5*(v - 11)**2
Let c(o) be the first derivative of -o**4/4 - 2*o**3 - 3*o + 12. Let j(r) be the first derivative of c(r). Factor j(l).
-3*l*(l + 4)
Let j(i) = 3*i**3 - i**2 - 3*i - 3. Let y(x) = -2*x**3 + 3*x + 2. Let r(w) = 3*j(w) + 4*y(w). Factor r(f).
(f - 1)**3
Factor 2*x - 2/7*x**2 - 20/7.
-2*(x - 5)*(x - 2)/7
Find q such that 5/2*q**2 + 1/8*q**3 - 23/2*q + 12 = 0.
-24, 2
Let d(u) be the second derivative of -5*u**4/12 - 10*u**3/3 + 105*u**2/2 - 14*u. Suppose d(t) = 0. What is t?
-7, 3
Let w(m) be the first derivative of 7*m**6/24 - 3*m**5/4 + 5*m**4/12 + 13*m**2/2 - 10. Let z(p) be the second derivative of w(p). Find y, given that z(y) = 0.
0, 2/7, 1
Factor 120/7*r + 1800/7 + 2/7*r**2.
2*(r + 30)**2/7
Let y(t) = -4*t**2 + 22*t + 30. Let o(v) = 2*v**2 - 10*v - 16. Let b(g) = 5*o(g) + 2*y(g). Factor b(l).
2*(l - 5)*(l + 2)
Let g(n) be the third derivative of 4*n**2 + 1/24*n**4 + 0 + 0*n - 1/120*n**6 + 0*n**3 + 1/210*n**7 - 1/60*n**5. Determine m, given that g(m) = 0.
-1, 0, 1
Let d(t) be the second derivative of -t**8/13440 - t**7/1260 + 3*t**4/4 - 26*t. Let a(x) be the third derivative of d(x). Find q such that a(q) = 0.
-4, 0
Let z = 20 - 25. Let h = z - -9. Let -23*n**h + 2*n**3 + 23*n**4 + 2*n - n**5 - 3*n = 0. What is n?
-1, 0, 1
Let l(h) be the second derivative of -h**6/120 - h**5/20 + 2*h**3 + 31*h. Let r(i) be the second derivative of l(i). Find b, given that r(b) = 0.
-2, 0
Let r(i) be the second derivative of i**4/66 - 4*i**3/11 - 45*i**2/11 - 129*i + 1. Suppose r(p) = 0. What is p?
-3, 15
Let f(r) be the first derivative of 2*r**5/75 - 7*r**4/30 + 16*r**3/45 + 16*r**2/15 + 5. Suppose f(j) = 0. Calculate j.
-1, 0, 4
Suppose 2935 = -20*m - 665. Let g be ((-1)/(-5))/((-108)/m). Determine i, given that -g*i**2 + 0 - 1/3*i = 0.
-1, 0
Let g(v) be the first derivative of -2*v**3/3 - 2*v**2/7 + 75. Solve g(j) = 0.
-2/7, 0
Suppose -103*u + 8 = -99*u. Let y(l) be the third derivative of 1/24*l**3 + 0 + 7/240*l**5 + 1/160*l**6 + 5/96*l**4 - 6*l**u + 0*l. Factor y(v).
(v + 1)**2*(3*v + 1)/4
Let d(s) = 11*s + 2. Let q be d(-1). Let t be q/(-6)*4/1. Factor 6*x - 2*x - t - x + 3*x**2.
3*(x - 1)*(x + 2)
Let u(w) be the first derivative of w**4/18 + 4*w**3/27 - 35*w**2/9 - 744. Factor u(m).
2*m*(m - 5)*(m + 7)/9
Let d(f) be the second derivative of f**5/180 - 11*f**4/54 + 59*f**3/54 - 19*f**2/9 - 89*f. Suppose d(z) = 0. What is z?
1, 2, 19
Let u(n) be the second derivative of n**7/294 - n**6/30 + 4*n**5/35 - n**4/7 + 76*n. Factor u(v).
v**2*(v - 3)*(v - 2)**2/7
Let j(v) be the second derivative of -v**7/20160 + v**5/960 - 17*v**4/12 - 13*v. Let f(x) be the third derivative of j(x). Factor f(t).
-(t - 1)*(t + 1)/8
Let y be (10 + -4 - 1) + -1. What is t in 13*t**y + t**4 - 153*t - 2*t**4 + 27 + 201*t**2 - 87*t**3 = 0?
1/4, 1, 3
Let l be ((-77)/14)/(-2*2/16). Let s be (-1)/4 + l + -21. Factor -9/4*d**4 + 9/4*d**3 + 0*d + 3/4*d**5 + 0 - s*d**2.
3*d**2*(d - 1)**3/4
Let 2*q + 4*q - 2046*q**2 + 2048*q**2 = 0. Calculate q.
-3, 0
Let a(h) be the third derivative of -7*h**5/60 + 19*h**4/12 - 13*h**3 + 3*h**2. Let i(m) = -15*m**2 + 75*m - 155. Let x(f) = -5*a(f) + 2*i(f). Solve x(z) = 0.
4
Factor -104/7*t**3 - 106/7*t**4 - 2/7*t**5 + 0 + 0*t + 0*t**2.
-2*t**3*(t + 1)*(t + 52)/7
Let x be (2 + -2)/(10/5 + -1). Let y(k) be the second derivative of 0 + k + 0*k**3 + 1/60*k**6 + 0*k**4 + x*k**2 - 1/40*k**5. Find w such that y(w) = 0.
0, 1
Let v = -599 + 599. Determine n so that -3/5*n**3 + 0 + v*n + 3/5*n**2 = 0.
0, 1
Factor -2