l + 1/39*l**3. Find p such that c(p) = 0.
-3, -1, 1
Suppose 0 = 11*n - 13*n + 32. Factor -24*a**2 - n*a**2 + 44*a**2 - a**3.
-a**2*(a - 4)
Factor 0 + 236/7*w**2 - 30/7*w**3 + 32/7*w.
-2*w*(w - 8)*(15*w + 2)/7
Let f(i) be the first derivative of -i**4/8 + 3*i**3/4 - 3*i**2/2 + 10*i - 12. Let t(g) be the first derivative of f(g). Factor t(n).
-3*(n - 2)*(n - 1)/2
Let f(i) be the first derivative of -4/7*i + 9 + 3/7*i**4 + 4/21*i**3 - 6/7*i**2. Determine w so that f(w) = 0.
-1, -1/3, 1
What is z in -11/7*z**4 + 6*z**3 + 32/7*z + 0 - 64/7*z**2 + 1/7*z**5 = 0?
0, 1, 2, 4
Let b(q) be the third derivative of -243*q**7/245 - 1053*q**6/14 + 3546*q**5/35 - 1186*q**4/21 + 352*q**3/21 - 8*q**2 + 14*q. Factor b(h).
-2*(h + 44)*(9*h - 2)**3/7
Let n(d) = -12*d**4 + 12*d**3 + 9*d**2 - 12*d. Let l(u) = 35*u**4 - 36*u**3 - 26*u**2 + 36*u - 1. Let c = 131 - 123. Let f(b) = c*n(b) + 3*l(b). Factor f(h).
3*(h - 1)**2*(h + 1)*(3*h - 1)
Let w be (6 - 1086/180)/(40/(-25)). Let n(d) be the third derivative of 0*d**3 + w*d**4 + 0*d + 0 + 0*d**5 - 1/240*d**6 + 7*d**2. Solve n(g) = 0.
-1, 0, 1
Let t(c) = -c**3 - c**2 + c - 2. Let j(r) = -10*r**3 + 95*r**2 - 580*r + 800. Let q(v) = j(v) - 5*t(v). Factor q(h).
-5*(h - 9)**2*(h - 2)
Let o(j) = -8*j**2 + 7*j + 1. Let a(g) = 9*g**2 - 8*g - 1. Let w(f) = 6*a(f) + 5*o(f). Factor w(s).
(s - 1)*(14*s + 1)
Let f = 2291 - 2291. Find w such that -1/2*w**2 + 1/2 + f*w = 0.
-1, 1
Factor 71*r + 11*r - 54*r**2 + 62 + 143*r + 42*r**2 - 5.
-3*(r - 19)*(4*r + 1)
Suppose -8*z - 4*z = -10*z - 6. Find y, given that 8/3*y**2 + 4/3*y - 8/3*y**z - 4/3*y**4 + 4/3*y**5 - 4/3 = 0.
-1, 1
Suppose -7*n = -3*n - 28. Let r = n + -5. What is j in 4*j**3 - r*j - 3*j + 7*j - 3*j**3 + 3*j**2 = 0?
-2, -1, 0
Suppose 2*l + 2*q = 5*l + 2, -4*l + 2 = 2*q. Determine p so that 57*p**2 + l*p**3 + 2 - 59*p**2 + 2*p**3 - 2*p = 0.
-1, 1
Let 1674*j + 45 - j**3 - 835*j - 45*j**2 - 838*j = 0. Calculate j.
-45, -1, 1
Let m be 6/(-7) - (-399)/(-114)*(-20)/49. Find j, given that 1/7*j + m*j**4 + 6/7*j**3 + 4/7*j**2 + 1/7*j**5 + 0 = 0.
-1, 0
Factor 0 + 0*t - 3/7*t**4 - 3*t**3 + 0*t**2.
-3*t**3*(t + 7)/7
Let o(x) = x**4 + x**2 + 1. Let m = -76 - -77. Let u(a) = -23*a**4 + 60*a**3 + 57*a**2 - 30*a + 2. Let p(v) = m*u(v) - 2*o(v). Factor p(l).
-5*l*(l - 3)*(l + 1)*(5*l - 2)
Solve 0*o + 0 - 6*o**3 + 0*o**2 - 27/8*o**5 + 9*o**4 = 0 for o.
0, 4/3
Let u be 6/8*82/82. Factor -u*i + 0 + 1/4*i**2.
i*(i - 3)/4
Suppose 4*b - h = -b + 16, -h = -4. Factor 3*w + 7 - 10*w**2 + 0*w**b - 10*w**3 + 5*w**5 + 5*w**4 - 2 + 2*w.
5*(w - 1)**2*(w + 1)**3
Let d(u) be the third derivative of -1/60*u**5 + 0 - 1/120*u**6 + 1/4*u**4 + 0*u**3 + 9*u**2 + 0*u. Factor d(j).
-j*(j - 2)*(j + 3)
Let q(n) = -10*n**2 - 20*n - 16. Suppose -g - 6 = -3*o, 3*o + 3*g = 21 - 3. Let c(w) = 2*w**2 + 4*w + 3. Let a(j) = o*q(j) + 16*c(j). Factor a(z).
2*z*(z + 2)
Let w(q) be the first derivative of -11/2*q**2 - 8 + 1/30*q**5 - 2/3*q**3 - 1/12*q**4 + 0*q. Let t(i) be the second derivative of w(i). Factor t(s).
2*(s - 2)*(s + 1)
Let v = -1111/273 + 100/21. Let m(j) be the second derivative of 0 - 4*j + v*j**2 + 1/130*j**5 - 5/78*j**4 + 1/13*j**3. Solve m(k) = 0.
-1, 3
Let c(f) be the second derivative of f**6/50 + 3*f**5/100 - f**4/20 - f**3/10 + 12*f. Determine x, given that c(x) = 0.
-1, 0, 1
Let p(v) = -5*v**2 - 21*v - 16. Let i(b) = -7*b + 5. Let c(h) = -8*h + 6. Let g(m) = -6*c(m) + 7*i(m). Let l(w) = 6*g(w) - p(w). Factor l(k).
5*(k + 1)*(k + 2)
Let j be 240/116 - (-96)/(-1392). Solve 2*f + 1/3*f**j + 8/3 = 0 for f.
-4, -2
Let j(c) = c**2 - 6*c + 3. Suppose -2*i - 4 + 16 = 0. Let z be j(i). Factor 3*h**5 + 0*h**z + 3*h**3 - 2*h**3 + 4*h**4.
h**3*(h + 1)*(3*h + 1)
Let x(j) = 68 + 4*j**2 - 69 - 3*j**2. Let w(n) = 16*n**3 - 58*n**2 - 64*n + 10. Let y(r) = -w(r) + 10*x(r). Determine d so that y(d) = 0.
-1, 1/4, 5
Let z(x) = -x**3 - x**2 + 2*x + 4. Let w be z(-2). Solve -71*s**2 - 18*s**4 - 90*s**3 - 4*s**2 - 16*s**4 + 7*s**w = 0.
-5/3, 0
Suppose 7*c - 9*c = -o + 10, 4*o = -4*c + 28. Let j(k) be the first derivative of 0*k**2 + 2*k - o - 2/3*k**3. Suppose j(d) = 0. Calculate d.
-1, 1
Let a(g) = 2*g + 12. Let y be a(-5). What is p in -36*p - 4*p + y - 4*p**2 - 53 - 49 = 0?
-5
Let k(n) be the third derivative of -n**6/180 - 29*n**5/45 - 28*n**4/9 + 154*n**2. Solve k(b) = 0 for b.
-56, -2, 0
Let f be 30/((-24)/4) + 54/8 + 2. What is b in 0 - f*b**2 + 3/2*b = 0?
0, 2/5
Let s(g) be the third derivative of -g**8/1848 + 4*g**7/1155 - g**6/165 - g**5/165 + 5*g**4/132 - 2*g**3/33 - 97*g**2. Solve s(b) = 0 for b.
-1, 1, 2
Let g be ((-36)/(-9))/(15/((-18)/(-12) + 3)). Factor 1/5*y**4 + g*y**3 + 0*y + y**2 + 0.
y**2*(y + 1)*(y + 5)/5
Let j(p) be the second derivative of -8/3*p**3 + 0 + 8/3*p**4 + p**5 + 0*p**2 + 3*p. Factor j(q).
4*q*(q + 2)*(5*q - 2)
Factor -75/2*c**3 - 189/2 - 657/2*c - 615/2*c**2.
-3*(c + 7)*(5*c + 3)**2/2
Let k(r) be the second derivative of -2*r**6/45 + 4*r**5/3 - 148*r**4/9 + 320*r**3/3 - 384*r**2 + 95*r. Find y, given that k(y) = 0.
4, 6
Suppose -12 = -4*a + 7*a. Let h be 2/a*(-5 - -1). What is r in -3*r**3 - h*r**4 - r**4 - 5*r**5 + 4*r**5 - r**2 = 0?
-1, 0
Let i = 4258/3 + -1443. Let s = i - -24. Factor s*n**2 - 1/3*n - 2/3.
(n - 2)*(n + 1)/3
Suppose 0 = 44*x - 49*x - 5*u + 5, -3*x + u = -7. Suppose 4/5 - 1/5*i**x + 3/5*i = 0. Calculate i.
-1, 4
Let p(n) be the first derivative of 13/3*n**3 - 2/3*n**6 + 2*n**2 + 0*n - 5 - 16/5*n**5 + 3/4*n**4. Suppose p(a) = 0. Calculate a.
-4, -1/2, 0, 1
Suppose -40/9*v - 88/9 + 2/9*v**2 = 0. Calculate v.
-2, 22
Let r(y) be the second derivative of 27*y**6/80 + 369*y**5/160 - 11*y**4/6 + 5*y**3/12 + 127*y. Suppose r(w) = 0. What is w?
-5, 0, 2/9
Let a(x) = 2*x**4 + 4*x**3 + 4*x**2 - 2. Let c(j) = 2*j. Let r be c(1). Let z(p) = 4*p**4 + 7*p**3 + 8*p**2 - 5. Let v(w) = r*z(w) - 5*a(w). Factor v(q).
-2*q**2*(q + 1)*(q + 2)
Let n(p) be the second derivative of p**4/4 + p**3/6 - p**2 + p. Let o(y) = 2*y**2 + y - 1. Let d(j) = -3*n(j) + 4*o(j). Factor d(k).
-(k - 2)*(k + 1)
Determine m so that -5*m**2 - 2*m**3 + 4*m + 26*m**2 + 8*m**4 - 11*m**2 - 20*m**3 = 0.
-1/4, 0, 1, 2
Let a be 511/(-21) + 4/(-6). Let c be (25/(-10))/(a/60). Factor 1 - c*i**2 + 2*i**4 - 5/2*i - 1/2*i**3.
(i - 2)*(i + 1)**2*(4*i - 1)/2
Let f be (3/(-4))/(2*6/(-48)). Suppose 7*z - 9 = -f*m + 6*z, -2*m + 2*z - 2 = 0. Find a, given that 27/2*a**m - 33/2*a**3 - 3/2*a + 6*a**4 - 3/2 = 0.
-1/4, 1
Let c(y) = -4*y**4 + 364*y**3 + 4*y**2 - 375*y - 11. Let n(d) = -d**4 + 73*d**3 + d**2 - 75*d - 2. Let q(j) = 2*c(j) - 11*n(j). Let q(i) = 0. What is i?
-1, 0, 1, 25
Factor -2*d + 0 - 2/3*d**3 - 8/3*d**2.
-2*d*(d + 1)*(d + 3)/3
Let h = -16 - -31. Suppose 0 = -19*v + 14*v + h. Factor 0 - 2/3*y**v + 4/3*y**2 + 0*y.
-2*y**2*(y - 2)/3
Let b be (3 - 6)*(1 + -2)/(-1). Let i be b - (-1 + (-8)/(-12)*-6). Factor 2/9*w**i + 8/9 + 8/9*w.
2*(w + 2)**2/9
Let 116*w + 64*w**2 - 577*w**3 + 581*w**3 + 32 + 24 = 0. Calculate w.
-14, -1
Let w(x) be the first derivative of -3*x**5/25 - 3*x**4/2 - 20. Let w(p) = 0. Calculate p.
-10, 0
Let q(j) be the third derivative of 8*j**7/1575 + 7*j**6/450 + 7*j**5/450 + j**4/180 + j**2 + 55*j. Let q(t) = 0. What is t?
-1, -1/2, -1/4, 0
Solve 0 + 6*d**4 - 33/2*d**3 - 9*d**2 + 27/2*d = 0 for d.
-1, 0, 3/4, 3
Find k such that 2/5*k**3 + 0*k**2 - 2/5*k**5 + 0*k + 0*k**4 + 0 = 0.
-1, 0, 1
Let q(d) = -6*d**2 + 9*d + 36. Let y(n) = -n**3 - 13*n**2 + 19*n + 72. Let l(z) = 5*q(z) - 3*y(z). Factor l(t).
3*(t - 2)*(t + 2)*(t + 3)
Let v = -108 - -141. Let -779*z**3 + 13*z - v*z + 775*z**3 + 24*z**2 = 0. Calculate z.
0, 1, 5
Suppose 15*u - 200 = 220. Let q be 118/u + -3 - (-14)/49. Factor 0 + 9/2*d**2 + q*d**3 + 3*d.
3*d*(d + 1)*(d + 2)/2
Let g(w) be the third derivative of 1/270*w**5 + 0*w**4 + 0 + 4*w**2 - 1/3*w**3 + 0*w - 1/1620*w**6. Let o(c) be the first derivative of g(c). Solve o(h) = 0.
0, 2
Let f(d) be the second derivative of d**6/30 + 2*d**5/5 + 19*d**4/12 + 2*d**3 - 275*d. Determine o, given that f(o) = 0.
-4, -3, -1, 0
Let b(j) be the second derivative of -2*j**7/3 + 44*j**6/15 + 11*j**5/5 - 86*j**4/3 + 136*j**3/3 - 16*j**2 + 17*j. Suppose b(i) = 0. Calculate i.
-2, 1/7, 1, 2
Let t = -1385 - -1390. Let l(b) be the first derivative of -16*b + 14/3*b**6 - 23*b**4 + 7 - 4*b**t - 8*b**2 + 116/3*b**3. Solve