 + 2/11 + 0*t.
-2*(t - 1)*(t + 1)/11
Let z be ((-80)/(-32))/(2/20). Suppose 7*g = z - 4. Determine l so that l - l + g*l**4 - 2*l**3 - 6*l - l**4 - 10*l**2 = 0.
-1, 0, 3
Let m(f) = 2*f**3 + 92*f**2 + 6*f + 12. Let s(k) = -k**3 - k - 2. Let z(j) = -m(j) - 6*s(j). Solve z(w) = 0.
0, 23
Let q(z) be the second derivative of -5*z**4/12 - 425*z**3/2 + 1285*z**2 + 14*z - 24. Let q(a) = 0. What is a?
-257, 2
Let z = -22 - -52. Let r = 35 - z. Factor m**3 - r*m**3 + 26*m**2 - 2*m**2 - 33*m - 3*m.
-4*m*(m - 3)**2
Let t be (-4)/((32/60)/(-4)). Factor -8*f**3 - t*f + 3*f**3 + 0*f**3 + 126*f**2 - 91*f**2.
-5*f*(f - 6)*(f - 1)
Let c(o) = 4*o**2 + 16*o + 24. Let q be c(-7). Let z = -104 + q. Solve -28 - 72 - 4*b**2 - 36*b - z*b = 0 for b.
-5
Suppose 3*b = 5*r - 14, -4*b - 3*r - 40 = -60. Factor -69*h + 44*h + 5*h**b + 18*h + 42*h.
5*h*(h + 7)
Let u(l) be the second derivative of 5*l**7/42 - 2*l**6/3 + 5*l**5/4 - 5*l**4/6 - 73*l. Suppose u(z) = 0. Calculate z.
0, 1, 2
Let x = 24 - 23. Let h be x/3 + (-3)/(9/(-77)). Factor h*i**2 + 4 - 6*i - 2 - 1 - 8*i**3 - 14*i**2.
-(2*i - 1)**3
Determine r, given that -864/5 - 339/5*r**4 - 474*r**3 - 3624/5*r - 4764/5*r**2 + 27/5*r**5 = 0.
-2, -1, -4/9, 18
Let a(z) be the second derivative of -1/90*z**6 - 3/2*z**3 + 0*z**4 + 1/30*z**5 + 0*z**2 + 0 + 27*z. Let c(f) be the second derivative of a(f). Factor c(w).
-4*w*(w - 1)
Let i(h) be the second derivative of -h**6/180 - h**5/5 - 3*h**4 - 5*h**3/3 + h**2/2 + 11*h + 1. Let y(l) be the second derivative of i(l). Factor y(g).
-2*(g + 6)**2
Let r(d) = 11*d**2 + 33*d - 26. Let b(o) = o**2 + o. Let l(p) = -4*p + 70. Let j be l(17). Let y(c) = j*r(c) - 18*b(c). Factor y(s).
4*(s - 1)*(s + 13)
Let d be ((-3)/6*0)/(-1). Let w(t) = -2*t**3 + t**2 - 2*t + 10. Let j be w(d). Factor -4 - j + 4 - 2*g**2 + 9*g + 3*g.
-2*(g - 5)*(g - 1)
Let f(z) be the first derivative of 2*z**5/5 + 43*z**4/4 - 71*z**3/3 - 23*z**2 - 3472. Factor f(p).
p*(p - 2)*(p + 23)*(2*p + 1)
Let l(q) = -q**2 - 25*q - 8. Let p(v) = -32*v - 9. Let n(j) = 3*l(j) - 2*p(j). Determine t so that n(t) = 0.
-3, -2/3
Determine j so that -128300 + 62406 - 417*j + 6270 - j**2 - 118460 - 427*j = 0.
-422
Factor -1/2*y**4 + 5/2*y**3 - 2*y - 3*y**2 + 4.
-(y - 2)**3*(y + 1)/2
Factor 1436/3*q**2 - 2908*q + 4380 + 4/3*q**3.
4*(q - 3)**2*(q + 365)/3
Let z(j) be the first derivative of -j**4/20 - j**3/15 + 32*j**2/5 + 64*j/5 - 2596. Factor z(s).
-(s - 8)*(s + 1)*(s + 8)/5
Factor -106/5*b - 104/5 - 2/5*b**2.
-2*(b + 1)*(b + 52)/5
Factor -363 + 407/2*n + 1/6*n**3 - 34/3*n**2.
(n - 33)**2*(n - 2)/6
Let i be -3 + 616/20*(-19)/(-195). Let z = i + 3033/325. Determine v, given that 0 - z*v**2 + 146/9*v**3 - 112/9*v**4 + 32/9*v**5 + 2*v = 0.
0, 3/4, 1
Let h(z) be the third derivative of -z**8/294 - z**7/245 + 113*z**6/420 - 18*z**5/35 - 43*z**4/21 + 16*z**3/7 - 1251*z**2. Suppose h(k) = 0. Calculate k.
-6, -1, 1/4, 2, 4
Let d(l) be the second derivative of 0*l**3 + 5/126*l**7 - 10/9*l**4 + 3 - 5*l + l**5 - 1/3*l**6 + 0*l**2. Solve d(i) = 0.
0, 2
Find v, given that -150 + 9690*v - 1665075/2*v**4 + 721905*v**3 - 357687/2*v**2 = 0.
5/149, 2/5
Suppose 24*l**3 + 383*l**2 - 335*l**2 + 44*l**4 - 2*l**5 + 70*l**3 = 0. What is l?
-1, 0, 24
Let a = 313 - 265. Find w such that 471 - 837*w + 15 - 117*w**3 + a*w**2 + 108*w**3 + 120*w**2 = 0.
2/3, 9
Let x be 16/40 - (-9681)/(-15). Let r = x + 645. Let 14/15*j + 2/15*j**2 + r = 0. What is j?
-7, 0
Let g(i) = -12*i - 52. Let r be g(-5). Factor 2*q**4 - 10*q**2 - 5574*q**5 + 5579*q**5 - 5*q**3 + r*q**4.
5*q**2*(q - 1)*(q + 1)*(q + 2)
Let s(y) be the first derivative of 2*y**3/15 + 13*y**2 - 268*y/5 + 1146. Find l, given that s(l) = 0.
-67, 2
Let q(b) be the second derivative of -b**7/105 + 6*b**6/25 - 56*b**5/25 + 9*b**4 - 35*b**3/3 - 3996*b. Determine k so that q(k) = 0.
0, 1, 5, 7
Let j = -523 - -535. Factor j*y + 12*y**2 - 8 - 14*y + 2*y**3 - 4 + 0*y**2.
2*(y - 1)*(y + 1)*(y + 6)
Factor 0 - 1/7*p**3 + 37/7*p**2 + 78/7*p.
-p*(p - 39)*(p + 2)/7
Factor -3*x**2 + 1401 - 60*x - 2969 + 1415.
-3*(x + 3)*(x + 17)
Let s be -7 + 0 - ((-4)/(-4) + -6). Let w be -1*(-2)/s*(-10 + 8). Factor -3/2*i + 3/4*i**w - 9/4.
3*(i - 3)*(i + 1)/4
Factor -9*r**4 - 6*r**4 + 4*r**2 - 15*r**4 - 10*r**3 + 30*r**4 - 7*r**4 + 10*r + 3.
-(r - 1)*(r + 1)**2*(7*r + 3)
Factor -16*w**3 + 0 + 0*w - 14/3*w**4 - 2/9*w**5 - 136/9*w**2.
-2*w**2*(w + 2)**2*(w + 17)/9
Let b(w) be the second derivative of 4*w**6/135 - 5*w**5/9 + 82*w**4/27 - 70*w**3/27 + 1143*w. Solve b(d) = 0 for d.
0, 1/2, 5, 7
Suppose 18 = 3*m + 2*x - 24, m + x = 15. Let f be 1/(56/(-14) - (1 - m)). Factor 2/7*h**3 + f*h**4 - 4/7*h - 3/7*h**2 + 4/7.
(h - 1)**2*(h + 2)**2/7
Factor 55*w - 2*w**3 - 2*w**4 + 34*w**2 - 69 + 30 + 39 - 85*w.
-2*w*(w - 3)*(w - 1)*(w + 5)
Let r(g) = -g**3 - g**2 - 10*g + 2. Let c be r(-5). Let l be 1/(-5 + 762/c). Factor 27*n**5 - 127*n**4 + 132*n**3 + 109*n**2 + 13*n**4 - l*n**2 - 57*n**2.
3*n**2*(n - 2)**2*(9*n - 2)
Suppose 10*k + 5*k - 660 = 0. Solve 5*x - 10*x**5 + 17*x**2 - k*x**3 + 5*x**2 - 6*x**2 + x - 4 + 36*x**4 = 0.
-2/5, 1
Let c(q) = -q**2 - 4*q + 18. Let n be c(-7). Let y be ((-7)/(-3))/((-1)/n). Solve -4*d + 25*d**2 + 12*d**3 + 11*d + 3 + 5*d - y*d**2 + 3*d**4 = 0 for d.
-1
Let r(m) be the second derivative of -5*m**4/12 - 20*m**3 - 360*m**2 - 2*m - 885. Suppose r(j) = 0. Calculate j.
-12
Factor 109*i**2 - 47363*i + 6568 - 20068 + 5*i**3 + 52763*i - 424*i**2.
5*(i - 30)**2*(i - 3)
Suppose 292*j - 247 = 228 + 109. Factor -31/6*y**j + 10/3*y + 1/2*y**3 + 7/6*y**4 + 0 + 1/6*y**5.
y*(y - 1)**2*(y + 4)*(y + 5)/6
Let o = -28970/7 + 724572/175. What is u in 2/25*u**3 + 0*u + 0 - o*u**2 = 0?
0, 23
Let u(f) be the first derivative of 0*f**4 - 4/7*f**2 - 2/7*f**3 + 1/35*f**5 - 245 - 3/7*f. Factor u(s).
(s - 3)*(s + 1)**3/7
Let l = -11531 - -461241/40. Let r(u) be the third derivative of 0 + 0*u - l*u**4 + 2*u**2 + 1/100*u**5 + 0*u**3. Factor r(q).
3*q*(q - 1)/5
Let x(a) = -103*a + 1368. Let g be x(13). Let k(j) be the first derivative of 1/12*j**6 - 1/6*j**3 + 1/10*j**5 + 0*j + 0*j**2 + g - 1/8*j**4. Factor k(i).
i**2*(i - 1)*(i + 1)**2/2
Factor -2/11*v**2 - 630/11 + 136/11*v.
-2*(v - 63)*(v - 5)/11
Suppose 12 = 2*w + 4*q, -4*w + 2*w - 2*q = -12. Factor 32*g**3 + 34*g**2 + w*g**3 + 2*g + 0*g**3 - 6*g.
2*g*(g + 1)*(19*g - 2)
Let l be 81*(-2 + 7/3). Let a = l - -8. Factor 16*o + 9*o + 40*o**2 - a*o**2.
5*o*(o + 5)
Let w(d) be the second derivative of d**6/80 - 3*d**5/40 - 25*d**4/16 - 21*d**3/4 + 41*d**2 + 66*d. Let h(f) be the first derivative of w(f). Factor h(t).
3*(t - 7)*(t + 1)*(t + 3)/2
What is p in -18*p + 63*p - 78 + 656*p**3 + 36*p**2 - 659*p**3 = 0?
-2, 1, 13
Let n(h) = 18*h**3 - 3*h + 2. Let b be n(1). Suppose 15*a**2 + b*a + 12 - 13*a - 28*a - 3*a**3 = 0. What is a?
1, 2
Let g be (14/(-28))/(33/(-22)). Let h(l) be the second derivative of -1/15*l**5 + 1/18*l**4 + 2/9*l**3 - 16*l - g*l**2 + 0. Factor h(d).
-2*(d - 1)*(d + 1)*(2*d - 1)/3
Let o(x) be the first derivative of 5*x**3/6 + 731*x**2/4 + 73*x - 1366. Find l, given that o(l) = 0.
-146, -1/5
Let d be (6/(-4))/(1*-3). Let h(k) = -2*k**2 - 306*k + 1259. Let j be h(-157). Let a**j + 1/2*a**4 + d*a**2 + 0 + 0*a = 0. Calculate a.
-1, 0
Factor 103/8*v + 205/8*v**2 + 0 - 1/4*v**3.
-v*(v - 103)*(2*v + 1)/8
Let p be (-1100)/(-70) - (-6)/21. Suppose 6*m**4 - 20*m**2 + 2*m**4 - 8*m - 12*m**4 - p*m**3 = 0. What is m?
-2, -1, 0
Let d(c) = -10*c**2 + 140*c. Let f be 6 + 6 + 5*(2 - 3). Let h(i) = -5*i**2 + 70*i. Let r(o) = f*h(o) - 3*d(o). Solve r(y) = 0 for y.
0, 14
Let r be -16*(9/(-2) - (-17 + 13)). Let 6*n + r*n**2 + 2*n - 2*n**3 + 2*n - 18*n = 0. Calculate n.
0, 2
Let v be 2/(-133) - (-275094)/852397. Factor 0*l + 0 + 6/13*l**4 + 2/13*l**5 + v*l**3 + 0*l**2.
2*l**3*(l + 1)*(l + 2)/13
Let f(y) be the second derivative of -37*y**6/120 + 31*y**5/80 + 5*y**4/3 + y**3/2 - 143*y. Let f(s) = 0. What is s?
-1, -6/37, 0, 2
Let v(s) be the first derivative of -7*s**2 - 13*s**2 + 60*s - 5*s**2 + 153 + s**3 + 7*s**2. Factor v(n).
3*(n - 10)*(n - 2)
Let t(u) = -5*u**4 - 8*u**3 + 5*u**2 + 5*u. Let d = 146 - 140. Let m(i) = -19*i**4 - 32*i**3 + 19*i**2 + 21*i. Let q(b) = d*m(b) - 22*t(b). Factor q(n).
-4*n*(n - 1)*(n + 1)*(n + 4)
Let r(m) be the third derivative of -5/336*m**8 + 0*m**3 + 0 + 1/6*m**6 + 1/21*m**7