ctor u - 3/4 - r*u**2.
-(u - 3)*(u - 1)/4
Let o(p) be the second derivative of p**4/28 + 3*p**3/14 + 3*p**2/7 - 66*p. Solve o(z) = 0.
-2, -1
Let j(n) be the first derivative of -13*n**3/2 - 10*n**2 - n/2 - 26. Find i such that j(i) = 0.
-1, -1/39
Factor 12*z - 1/3*z**2 + 37/3.
-(z - 37)*(z + 1)/3
Let l(q) be the first derivative of -q**7/280 + q**6/60 + 3*q**5/40 + 5*q**3 - 13. Let g(s) be the third derivative of l(s). Factor g(o).
-3*o*(o - 3)*(o + 1)
Let u(z) be the first derivative of 0*z**2 + 0*z + 1/4*z**4 + 1/12*z**6 - 1/12*z**3 - 1/4*z**5 - 8. Factor u(a).
a**2*(a - 1)**2*(2*a - 1)/4
Let m(c) be the third derivative of -c**7/1260 - c**6/80 - c**5/24 - 7*c**4/144 + 21*c**2 - 1. Let m(q) = 0. What is q?
-7, -1, 0
Let f(v) = 0 + 9*v + 2*v**2 + 2 - 10*v. Let x(a) = 4*a**2 - a + 4. Let q(m) = -14*f(m) + 6*x(m). Factor q(s).
-4*(s - 1)**2
Let p = -86 + 86. Let c(j) be the second derivative of p + 1/180*j**6 - 1/60*j**5 + 1/72*j**4 + 0*j**2 + 0*j**3 + j. Factor c(a).
a**2*(a - 1)**2/6
Suppose -5*f = 2*x + 44, 3*f = -0*f + 2*x - 20. Let a = 10 + f. Factor -13*n - 25*n**2 - 4 + 2 - 9*n**a - 21*n**3 - 2*n.
-(n + 1)*(3*n + 1)*(7*n + 2)
Let f(j) be the third derivative of j**6/240 + j**5/60 - j**4/16 + 146*j**2 - j. Factor f(o).
o*(o - 1)*(o + 3)/2
Let v(m) = -m**2 + 16*m + 33. Let k be v(17). Let i be ((-4)/k)/(3/(-18))*2. Find n, given that -2*n**4 + 0 + 7/4*n**i - 1/2*n**2 + 0*n + 3/4*n**5 = 0.
0, 2/3, 1
Factor 4/3*l**2 + 13/6*l**3 + 1/2*l**4 + 0 - 2*l.
l*(l + 2)*(l + 3)*(3*l - 2)/6
Let f = -46649/44 - -11676/11. Let 5 + 0*t - 25/4*t**2 + 0*t**3 + f*t**4 = 0. What is t?
-2, -1, 1, 2
Let d be (-1 - -1)/(3/3). Let f(w) be the second derivative of 0 + 2*w + 0*w**3 + d*w**2 + 1/30*w**4. Suppose f(r) = 0. What is r?
0
Suppose 14*h = 9*h - 20, 5*b + 10 = -5*h. Factor -5*l + 15/4*l**b + 5/4*l**3 + 0.
5*l*(l - 1)*(l + 4)/4
Let n(u) be the second derivative of 5*u**4/48 - 5*u**3/4 + 45*u**2/8 - 34*u. Factor n(m).
5*(m - 3)**2/4
Let w be (4/(-12))/(4/(-96)). Factor -w*j + 25*j**2 - 25*j**2 + 6*j**3 - 2*j**4.
-2*j*(j - 2)**2*(j + 1)
Let i = -12 + 15. Suppose 0 = -4*g, -i*s - 2 = -g - 8. Determine z, given that -5 + s + 11 - 8*z + 2*z**2 = 0.
2
Solve 3971 + 64*a**2 - 65*a**2 - 15852 + 218*a = 0 for a.
109
Let j be (1/1)/((-116)/24 - -5). Let h be ((-20)/30*j/4)/(-3). Factor -2/3*m**3 - h + 1/3*m**5 - 1/3*m**4 + 2/3*m**2 + 1/3*m.
(m - 1)**3*(m + 1)**2/3
Let d(q) be the first derivative of 2*q**5/5 - 17*q**4/2 + 52*q**3 - 140*q**2 + 176*q + 368. Let d(i) = 0. What is i?
2, 11
Let w(q) be the second derivative of -q**5/90 - 19*q**4/18 - 29*q**3 + 841*q**2/9 - 2*q - 293. Factor w(o).
-2*(o - 1)*(o + 29)**2/9
Let o(z) = -9*z**3 - 14*z**2 + z + 22. Let g(k) = k**3 + k**2 + k - 3. Let m(f) = -4*g(f) - o(f). Factor m(v).
5*(v - 1)*(v + 1)*(v + 2)
Let s(b) be the first derivative of b**6/54 + 7*b**5/45 + 17*b**4/36 + 17*b**3/27 + b**2/3 - 68. Suppose s(c) = 0. Calculate c.
-3, -2, -1, 0
What is r in -4*r - 115 + 107 - 11*r**2 - 16*r - 4*r**3 - 5*r**2 = 0?
-2, -1
Let j(o) be the second derivative of o**5/40 + o**4/3 + 5*o**3/3 + 4*o**2 - 97*o. Solve j(v) = 0 for v.
-4, -2
Factor 32*j**2 + 3373*j + 48 - 2*j**3 - 2*j**4 + 12*j**2 - 3461*j.
-2*(j - 2)**2*(j - 1)*(j + 6)
Factor 27*t**3 + 12*t - 22*t**4 + 18*t**4 - 48 - 4*t - 45*t**3 + 2*t**5 + 44*t**2.
2*(t - 2)**3*(t + 1)*(t + 3)
Let k be -112*(-9)/((-216)/(-30)). Let y be 118/3 - (11 - k/12). Suppose y - 120*z + 140*z**2 - 5/2*z**5 + 45/2*z**4 - 80*z**3 = 0. Calculate z.
1, 2
Let n(p) be the second derivative of -32*p**7/21 - 1232*p**6/3 - 39629*p**5 - 4292800*p**4/3 - 4218880*p**3/3 - 524288*p**2 - 205*p. Factor n(u).
-4*(u + 64)**3*(4*u + 1)**2
Suppose 41 - 11 + 0*a**2 + a**2 + 2*a**2 - 12*a**2 + 39*a = 0. Calculate a.
-2/3, 5
Let q(u) be the first derivative of -7*u**3/3 - 5*u**2/2 + 6*u + 34. Let m(d) = 13*d**2 + 9*d - 11. Let l(g) = 4*m(g) + 7*q(g). Suppose l(p) = 0. Calculate p.
-1, 2/3
Let t be ((-12 + 13)*-2)/(-11). Suppose 0*p + t*p**4 + 0 + 8/11*p**3 + 6/11*p**2 = 0. What is p?
-3, -1, 0
Let y be 16/9 + -2 + (-1520)/(-360) + -4. Factor 4*x**2 + y - 16/5*x - 4/5*x**3.
-4*x*(x - 4)*(x - 1)/5
Let l = -9/163 + 433/4890. Let m(n) be the first derivative of 2/15*n**3 - 3 - 3/10*n**2 - 3/25*n**5 + 1/5*n + 1/10*n**4 + l*n**6. Factor m(t).
(t - 1)**4*(t + 1)/5
Let u be 7605/39 + (-2)/(-2) + -1. Let t = -1362/7 + u. Determine p, given that 3/7*p - 6/7*p**2 - t*p**3 + 6/7 = 0.
-2, -1, 1
Let m = 8051 - 8049. Let -2/7*l**m + 16/7*l - 32/7 = 0. What is l?
4
Let n be (1 - 0)*(-8)/(-4). Suppose -21*d + 0*d**n + 4*d**2 - 5*d + 12*d**2 - 2*d**3 + 12 = 0. Calculate d.
1, 6
Let s(x) be the second derivative of -4/25*x**5 + 0 - 2/75*x**6 - 4/15*x**3 + 11*x - 1/3*x**4 + 0*x**2. Factor s(h).
-4*h*(h + 1)**2*(h + 2)/5
Let w(p) be the first derivative of 4/35*p**5 - 4/21*p**3 - 12 - 5/7*p**4 + 2/21*p**6 + 16/7*p**2 - 16/7*p. Let w(f) = 0. Calculate f.
-2, 1
Let f(b) = 0*b**2 + 8 + 15*b**2 - 3*b + b - 5*b**3. Let s(l) = l**2 + 1. Let g(t) = -3*f(t) + 24*s(t). Factor g(a).
3*a*(a - 1)*(5*a - 2)
Factor 184/5*d + 52/5*d**2 + 128/5 - 4/5*d**3.
-4*(d - 16)*(d + 1)*(d + 2)/5
Let n(b) = -b**3 - 19*b**2 - 23*b + 6. Let r be n(-13). Let p = r - -2147/3. Factor p*o**2 - 4/3*o - 25/3*o**3 + 0.
-o*(5*o - 2)**2/3
Let k(d) = -d**2 + 4 + 149*d - 149*d. Let c be k(0). Factor y**c - 2*y - 10/3*y**3 + 1/3 + 4*y**2.
(y - 1)**3*(3*y - 1)/3
Let x = 234536/7 - 33505. What is s in 5/7*s**3 - 9/7*s**2 - 2/7 - x*s**4 + s = 0?
1, 2
Let f(c) be the second derivative of c**4/42 + 2*c**3/7 - 116*c. Factor f(r).
2*r*(r + 6)/7
Suppose -3 = -4*u + 25. Let m = u - -5. Find d such that d**2 + 13 + 2*d**2 - 1 - m*d = 0.
2
Let f = 2 - 1. Let j be 2*(f + 0/(-3)). What is q in 8*q - 22*q + 16*q - 2*q**j = 0?
0, 1
Let k be -2*(-4 - (-2 - 0)). Let h be 16/(-28) - 34/(-35). Factor h*w**5 - 4/5*w**k + 4/5*w**2 - 2/5*w + 0*w**3 + 0.
2*w*(w - 1)**3*(w + 1)/5
Let i be (-2)/8 - (-26)/8. Let a = -1588 - -1600. Determine r, given that -i*r**4 + 4*r - r**4 + 24*r**3 + 18*r**3 - a*r - 16*r**2 - 14*r**5 = 0.
-2, -2/7, 0, 1
Let b be (-21)/35 + 274/130 + -1. Let p = b + 6/65. Factor p*l**2 + 27/5 + 18/5*l.
3*(l + 3)**2/5
Let z(c) be the second derivative of c**5/10 - c**4/3 - 2*c**3/3 + 2*c**2 + 324*c. Let r(b) = -1 + 0 + 5*b - 4*b. Let k(i) = 4*r(i) + z(i). Factor k(y).
2*y**2*(y - 2)
Let p(v) = 12*v**2 - 12*v + 6. Let d = -18 - -14. Let b(x) = 12*x**2 + 2*x**3 - 11*x + 6 - x**3 + 0*x. Let g(r) = d*p(r) + 3*b(r). What is u in g(u) = 0?
1, 2
Let z be (19/(-969))/((-1)/6). Solve -10/17*u**2 - 6/17*u + 18/17 - z*u**3 = 0.
-3, 1
Let t be 80/540*(0 - -3). Let p(l) be the first derivative of -4/3*l - 1/6*l**4 - 6 + 1/3*l**2 + t*l**3. Factor p(n).
-2*(n - 2)*(n - 1)*(n + 1)/3
Let k be 24/(-45)*2/(-4)*5. Let u be 1 - (4/(-6))/(-2). Determine g, given that -u*g + 2/3*g**2 - k = 0.
-1, 2
Let u = -48097 - -144292/3. Factor 3*m - u*m**2 + 10/3.
-(m - 10)*(m + 1)/3
Let o(l) be the third derivative of l**8/1176 + 11*l**7/245 + 179*l**6/420 - 43*l**5/6 + 228*l**4/7 - 1444*l**3/21 + 404*l**2. Suppose o(z) = 0. Calculate z.
-19, 1, 2
Let j(z) = -6*z - 44. Let w be j(-7). Let n be w/(-16)*(-5 - -7)*3. Let 0*x**3 + 3/4*x**4 + 0 + 0*x + 0*x**2 - n*x**5 = 0. What is x?
0, 1
Let c(f) be the first derivative of -f**7/4200 + f**6/600 - f**5/300 - 3*f**3 + 1. Let x(s) be the third derivative of c(s). Factor x(d).
-d*(d - 2)*(d - 1)/5
Let t(j) be the second derivative of -j**4/30 - 62*j**3/15 - 961*j**2/5 - 78*j. Let t(s) = 0. Calculate s.
-31
Let f(r) be the third derivative of r**6/720 + r**5/90 + r**4/48 + 38*r**2. Factor f(h).
h*(h + 1)*(h + 3)/6
Find j, given that -8*j + 2/13*j**3 - 72/13 - 30/13*j**2 = 0.
-2, -1, 18
Let t(b) = -b**2 + 11*b + 8. Let x be t(10). Let s be 42/x + 1 - 3. Factor -s*c**2 + 0 - 2/3*c.
-c*(c + 2)/3
Suppose 6 + 9 + 12 - 2*n - 24 - n**2 = 0. What is n?
-3, 1
Suppose 8*h = -30 + 54. Factor -159*p**3 + 75*p**3 + 59*p**h + 8*p**4 + 8 + 5*p**2 - 28*p + 33*p**2 - p**5.
-(p - 2)**3*(p - 1)**2
Let b = 10705/28504 - 2/3563. Suppose -b*y**4 - 3/8*y + 1/8*y**5 + 1/8 + 1/4*y**2 + 1/4*y**3 = 0. What is y?
-1, 1
Let m be (719693/1932)/83 - 10/8. Solve -16/21 - 8/3*q - m*q**2 - 34/21*q**3 - 2/7*q**4 = 0 for q.
-2, -1, -2/3
Factor 220/3*a**2 - 6*a**3 + 48 - 232*a.
-2*(a - 6)**2*(9*a - 2)/3
Le