n**5 + 0*n**3 + 0*n**2 - 1/12*n**4 + 5*n + i. Factor j(r).
-r**2*(r + 1)
Let c = -315 - -3157/10. Let i = c + -1/5. Factor 0 + 0*s - i*s**3 + 1/2*s**2.
-s**2*(s - 1)/2
Solve 4 + 2/23*w**2 + 94/23*w = 0 for w.
-46, -1
What is z in 0*z**3 - 81 - 117*z - 4*z**3 - 5*z**2 - 34*z**2 + z**3 = 0?
-9, -3, -1
Suppose 90*r = -231 + 411. Solve 10/7 + 1/7*n**r + n = 0 for n.
-5, -2
Let k(r) be the first derivative of 3*r**4/4 + 20*r**3 + 54*r**2 + 688. Factor k(f).
3*f*(f + 2)*(f + 18)
Let l(r) be the first derivative of r**6/6 + 2*r**5/5 - 2*r**3/3 - r**2/2 + 41. Factor l(n).
n*(n - 1)*(n + 1)**3
Let c(b) be the first derivative of 1/3*b**3 + 0*b - 1/2*b**2 + 2. Factor c(p).
p*(p - 1)
Let n be 46/(-135)*-3 + (-48)/60. Factor n*j + 0 - 2/9*j**4 + 2/9*j**2 - 2/9*j**3.
-2*j*(j - 1)*(j + 1)**2/9
Let c(a) be the second derivative of -1/1800*a**6 - 1/600*a**5 - 3*a + 0*a**2 + 0*a**4 + 0 + a**3. Let u(p) be the second derivative of c(p). Factor u(k).
-k*(k + 1)/5
Let f(c) be the second derivative of -c**9/5040 + c**8/1120 + 5*c**4/6 - 17*c. Let k(z) be the third derivative of f(z). Factor k(m).
-3*m**3*(m - 2)
Let u be (1 + -7)/(-1 - 1). Suppose 11*c - u*c = -6*c. Suppose -1/2*m**2 + c*m**3 + 1/2*m**4 + 1/4*m**5 + 0 - 1/4*m = 0. Calculate m.
-1, 0, 1
Let g(i) be the third derivative of i**6/120 - 11*i**5/60 + 7*i**4/24 + 49*i**3/2 + 180*i**2. Solve g(x) = 0 for x.
-3, 7
Factor 3872/3 - 176/3*a + 2/3*a**2.
2*(a - 44)**2/3
Let m(h) be the third derivative of 6*h**2 + 0 - 1/420*h**5 + 0*h + 0*h**3 - 5/168*h**4. Solve m(g) = 0.
-5, 0
Let l be (-10)/25*(-45)/6. Solve 3/4*h**2 - 1/2*h + 2*h**l + 3/4*h**4 + 0 = 0 for h.
-2, -1, 0, 1/3
Let c(d) be the third derivative of -9*d**2 + 5/24*d**4 + 0*d - 2/3*d**3 - 1/60*d**5 + 0. Factor c(u).
-(u - 4)*(u - 1)
Let u(y) be the first derivative of y**3 - 192*y**2 + 12288*y - 244. Solve u(l) = 0.
64
Let h(f) be the second derivative of f**7/63 + 4*f**6/45 + f**5/30 - 5*f**4/9 - 4*f**3/9 + 8*f**2/3 + 356*f. Factor h(l).
2*(l - 1)**2*(l + 2)**3/3
Let b(v) = -v**2 - 2*v + 2. Let y be b(-7). Let r be (-105)/y + 2/(-11). Factor -9*d**3 - 8*d + d**3 - 16*d**2 + 2*d**r - 2*d**4 - 4*d**3.
-2*d*(d + 1)*(d + 2)**2
Factor s - s + 2*s**2 + 16*s**3 - 4*s + 0*s**4 + 10*s**4.
2*s*(s + 1)**2*(5*s - 2)
Suppose 11*v - 30 - 36 = 0. Suppose -3*d = -a - 8, 2*d - v*a + 3*a - 10 = 0. Factor 1/9*s**5 + 1/9*s**3 + 0*s**d + 0 + 2/9*s**4 + 0*s.
s**3*(s + 1)**2/9
Let j(n) be the first derivative of -n**4/18 - 10*n**3/9 - 8*n**2 - 224*n/9 - 59. Factor j(o).
-2*(o + 4)**2*(o + 7)/9
Let s(w) be the second derivative of -w**4/21 - 74*w**3/21 + 76*w**2/7 - w + 7. Factor s(k).
-4*(k - 1)*(k + 38)/7
Let i(p) be the second derivative of p**5/20 + 19*p**4/60 - 29*p**3/30 + p**2/2 - 6*p. Determine h so that i(h) = 0.
-5, 1/5, 1
Let m(g) = 2*g**2 - 9*g + 3. Let b be m(6). Let x = b + -229/11. Let 4/11*d**2 - x*d**4 - 2/11*d**3 + 0*d + 0 = 0. What is d?
-2, 0, 1
Let v(p) = -2*p**4 - 18*p**3 - 16*p**2. Let y(z) = -z**4 - 18*z**3 - 17*z**2. Let d(h) = 3*v(h) - 4*y(h). Solve d(r) = 0.
-1, 0, 10
Let i be (-2 - -5) + (-71 - -1). Let k = -65 - i. Factor 1/3*t - 2/3*t**3 + 1/3*t**k + 0.
-t*(t - 1)*(2*t + 1)/3
Let g be (1/(-1))/(-1*(-2)/(-26)). Suppose -7*n + 13 = g. Factor -1/4*m**2 + n*m + 1/4.
-(m - 1)*(m + 1)/4
Let p(s) be the first derivative of 4/25*s**5 + 0*s + 9/20*s**4 + 2/15*s**3 - 10 + 0*s**2. Determine b, given that p(b) = 0.
-2, -1/4, 0
Let o be (2 - -1) + 7 + -8. Let i be (-4 - 0)/(-3 + 1). Solve -6*s**3 + o*s**4 - s**2 + 3*s**i + 2*s**3 = 0 for s.
0, 1
Let u = -4882/3 - -19579/12. Find s, given that 15/4*s**3 - 7*s - u*s**2 + 1 = 0.
-1, 2/15, 2
Factor 8*i**5 - 7*i**4 - 7*i**5 - 354 - 6*i**3 + 104*i**2 - 30 - 32*i.
(i - 4)**3*(i + 2)*(i + 3)
Let w(h) = 2*h**4 - 2*h**3 - 3*h**2 + 2*h + 1. Let y(d) = 5*d**4 - 6*d**3 - 8*d**2 + 6*d + 3. Let c(m) = -8*w(m) + 3*y(m). Factor c(r).
-(r - 1)*(r + 1)**3
Let f = -580/7 + 83. Let o(c) = c**3 + 45*c**2 + 121*c + 1510. Let b be o(-43). Find z such that 0 - f*z**b + 0*z**3 + 2/7*z**4 + 1/7*z - 2/7*z**2 = 0.
-1, 0, 1
Factor 16*h - 204/5 - 4/5*h**2.
-4*(h - 17)*(h - 3)/5
Factor -5535*u - 3*u**3 + 11127 + 781 + 85*u**2 + 116*u**2 + 51*u**2 - 1822.
-3*(u - 41)**2*(u - 2)
Factor -44/3 - 4/3*f**2 - 16*f.
-4*(f + 1)*(f + 11)/3
Let g = 17631/7 - 2517. Let -2*h**3 + 0*h**4 - g*h**2 + 0*h + 0 + 2/7*h**5 = 0. What is h?
-2, -1, 0, 3
Suppose 160/13*o + 2/13*o**2 + 3200/13 = 0. Calculate o.
-40
Factor -39/5*c - 36/5*c**2 + 0 + 3/5*c**3.
3*c*(c - 13)*(c + 1)/5
Solve -66*d**3 - 61*d**2 - 9*d**2 - d + d - 4*d = 0.
-1, -2/33, 0
Let r be 32/12 + 4/(-6). Factor 5*i**3 - 2 - 11*i**r - 2*i + 7*i + 2*i**2 - i**4 + 2*i.
-(i - 2)*(i - 1)**3
Suppose 4*p - 6 = -p - 3*l, l = -2*p + 3. Let m(g) be the first derivative of 2/3*g**6 - 4*g**5 - 28/3*g**p + 9*g**4 + 8 + 0*g + 4*g**2. Factor m(b).
4*b*(b - 2)*(b - 1)**3
Let q(u) be the first derivative of -5*u**3/3 + 40*u**2 - 112. Factor q(b).
-5*b*(b - 16)
Let b(f) = -f. Let i = -149 - -137. Let w(v) = -12*v + 2*v**2 - 4 - 2 + 4. Let n(q) = i*b(q) + w(q). Solve n(m) = 0 for m.
-1, 1
Let d be (-5 - -5)/4 + 4 + -1. Factor -15*l**3 - 49*l**2 + 72 - 164*l**2 + 3*l**d + 171 - 918*l.
-3*(l + 9)**2*(4*l - 1)
Suppose -12*y - 528 = -17*y - 4*j, 5*y - 4*j = 512. Let 10 - 8*k + 102*k**2 - y*k**2 + 0 = 0. Calculate k.
-5, 1
Determine j, given that -j**2 - 21*j - 4420*j**3 - 31*j**2 + 4418*j**3 + 55*j = 0.
-17, 0, 1
Let u(n) = n**2 - 42*n - 84. Let k be u(44). Let f(t) be the second derivative of -1/5*t**5 + 0 + 0*t**2 + 0*t**3 + 0*t**4 + k*t. Factor f(c).
-4*c**3
Let y(x) be the third derivative of 0 - 5/6*x**3 + 3*x**2 + 1/60*x**5 - 1/6*x**4 + 1/180*x**6 + 0*x. Let l(s) be the first derivative of y(s). Factor l(k).
2*(k - 1)*(k + 2)
Suppose -5*h - 19 = f, 13 = -2*f - 4*h - 1. Let n(z) be the first derivative of f - 1/5*z**5 + 1/4*z**4 + 0*z**3 + 0*z**2 + 0*z. Factor n(w).
-w**3*(w - 1)
Let k = 263/462 - 6/11. Let p(x) be the second derivative of 3/20*x**5 - 1/10*x**6 + k*x**7 + 0*x**3 + 0 + 5*x - 1/12*x**4 + 0*x**2. Let p(q) = 0. Calculate q.
0, 1
Let f(c) be the first derivative of 5 + 144/5*c - 24/5*c**2 + 4/15*c**3. Factor f(b).
4*(b - 6)**2/5
Suppose 3*v - 5*m = 46 - 15, -2*v - 4*m = 16. Let r(t) be the first derivative of 1/3*t**3 + t**v + 8 + 0*t. Determine s, given that r(s) = 0.
-2, 0
Let -4*u + 186*u**2 + 0 - 6 - 184*u**2 = 0. What is u?
-1, 3
Let p(a) = 8*a**2 - 42*a - 18. Let o(r) = -r - 2. Let k(y) = -4*o(y) + p(y). Suppose k(z) = 0. Calculate z.
-1/4, 5
Let l(j) be the third derivative of 0*j + 1/280*j**7 + 0 + 1/2*j**3 - 3/80*j**5 - 1/8*j**4 + 1/80*j**6 - j**2. Factor l(m).
3*(m - 1)**2*(m + 2)**2/4
Let x(u) = u**4 + u**2 + u + 1. Let y(o) = -30*o**4 - 30*o**3 - 85*o**2 - 75*o - 40. Let p(l) = 25*x(l) + y(l). Suppose p(i) = 0. Calculate i.
-3, -1
Let w(j) be the first derivative of j**8/392 + j**7/735 - j**2/2 + 10. Let y(z) be the second derivative of w(z). Suppose y(o) = 0. Calculate o.
-1/3, 0
What is l in -5/6*l + 8/3*l**2 - 1/2*l**3 + 0 = 0?
0, 1/3, 5
Let n be (2/(-7) + (-4730)/(-42))*-1. Let x = -111 - n. Factor -2/3*r + 2/3*r**5 + 0*r**3 + 0 + x*r**2 - 4/3*r**4.
2*r*(r - 1)**3*(r + 1)/3
Determine t so that -1/2*t**5 + 0*t**2 - 4*t**4 + 0 + 0*t - 8*t**3 = 0.
-4, 0
Let n(i) = -2*i + 1. Let p(v) = 3*v**2 - 16*v + 14. Let g(d) = -2*n(d) + p(d). Factor g(u).
3*(u - 2)**2
Let g be (0/32)/(3 - 2). Factor 2/11*p**4 + 4/11*p - 4/11*p**3 + g - 2/11*p**2.
2*p*(p - 2)*(p - 1)*(p + 1)/11
Let s(z) be the third derivative of -z**5/120 - z**4/16 + 3*z**3/2 + 4*z**2 + 31*z. Let s(h) = 0. Calculate h.
-6, 3
Let q(u) be the third derivative of u**6/160 - u**4/32 - 9*u**2 - u. Solve q(y) = 0.
-1, 0, 1
Let q(b) be the third derivative of -b**7/1050 + b**6/120 + b**5/30 - b**4/6 - 4*b**3/5 + 331*b**2. Find p, given that q(p) = 0.
-2, -1, 2, 6
Let y(k) be the first derivative of k**4/4 + 2*k**3/3 + k**2/2 + 76. Factor y(c).
c*(c + 1)**2
Let n(p) be the first derivative of p**4/22 - 24*p**3/11 - 75*p**2/11 - 76*p/11 + 397. Let n(v) = 0. Calculate v.
-1, 38
Let a be (-2 - -1)/((-9)/261). Suppose 0 = t + 4*t - 5*f - 20, f = 2. Find o, given that 0 + t*o**2 - 3 + 25*o + 1 - a*o = 0.
-1/3, 1
Suppose 25*n - 24*n - 4 = 0. Let -5*w**4 + 16*w**3 - 2*w**4 + 3*w**n - 12*w**2 = 0. What is w?
0, 1, 3
Let w(r) be the second deriv