 Let s be i(-12). Let w be 1*(s/66)/(-7). Let -18/11*q**2 + 20/11 + 14/11*q**3 - w*q - 2/11*q**4 = 0. What is q?
-1, 1, 2, 5
Let f(x) be the second derivative of x**7/147 - 11*x**6/35 + 29*x**5/35 + 22*x**4/7 - 248*x**3/21 - 8*x + 97. Solve f(z) = 0 for z.
-2, 0, 2, 31
Let b(t) be the third derivative of t**8/8400 + t**7/350 + 15*t**4/4 - 109*t**2. Let n(u) be the second derivative of b(u). Suppose n(f) = 0. What is f?
-9, 0
Let j(g) = g**2 - 118*g + 172. Let f(o) = 4*o + 2. Let c(h) = -6*f(h) - j(h). Suppose c(a) = 0. Calculate a.
2, 92
Let u(c) be the first derivative of 2*c - 23/12*c**3 + 1/4*c**4 + 13/4*c**2 + 68. Solve u(t) = 0 for t.
-1/4, 2, 4
Suppose 0 + 436*v**2 + 0 - 440*v**2 - 481*v - 7*v = 0. Calculate v.
-122, 0
Let j be 2/((-9 - -6) + -2 - -21). Let p(c) be the first derivative of 9/16*c**2 + 3/4*c + 7 + j*c**3. Determine b so that p(b) = 0.
-2, -1
Let x(w) = 116*w - 1686. Let b(r) = -1688 + 128*r + 7*r - 19*r + r**2. Let l(c) = 4*b(c) - 6*x(c). Factor l(a).
4*(a - 29)**2
Suppose 66*w = 251*w - 740. Let s(u) be the second derivative of -1/6*u**3 + 1/120*u**6 + 1/8*u**2 + 5*u - 1/20*u**5 + 0 + 1/8*u**w. Factor s(d).
(d - 1)**4/4
Factor -153*i**2 - 1398*i - 56*i**2 + 360*i**2 - 153*i**2.
-2*i*(i + 699)
Factor -346/3*w + 2/3*w**2 - 116.
2*(w - 174)*(w + 1)/3
Let r(f) be the second derivative of 1/66*f**4 - 214 - 2*f - 4/11*f**2 + 1/11*f**3. Find b such that r(b) = 0.
-4, 1
Let -35*b**2 - 1007*b + 2543*b + 51*b**2 + 280*b**2 - 84*b**3 + 1152 + 4*b**4 = 0. What is b?
-2, -1, 12
Let x(q) be the second derivative of q**7/5880 - 17*q**6/840 + 289*q**5/280 + 4*q**4/3 - 27*q + 2. Let m(y) be the third derivative of x(y). Factor m(l).
3*(l - 17)**2/7
Suppose -7 = -4*v + 9. Suppose 131*k + 247*k = 267*k. Solve -20/13*f**2 + 24/13*f**3 + 2/13*f**5 + k + 6/13*f - 12/13*f**v = 0.
0, 1, 3
Let s be (-234)/(-26) - 2518/280. Let v(t) be the third derivative of -6*t**2 + 0*t + 0 - 1/4*t**4 + 7/2*t**3 + s*t**5. Factor v(b).
3*(b - 7)**2/7
Let z = 1634/4803 - 11/1601. Let r(l) = l + 14. Let g be r(-12). Find i, given that 0 - z*i**g + 2/3*i = 0.
0, 2
Let o(z) be the second derivative of -z**5/30 + 17*z**4/18 - 56*z**3/9 + 52*z**2/3 + 186*z + 3. Suppose o(g) = 0. Calculate g.
2, 13
Find l, given that -30*l**3 - 729*l - l**5 - 592*l**3 - 330*l**2 + 99*l**2 + 52*l**4 - 1173*l**2 = 0.
-1, 0, 27
Let q(n) = n**2 + 12*n - 2. Let k(b) = -7*b**2 - 120*b - 203. Let g(r) = k(r) + 6*q(r). Factor g(x).
-(x + 5)*(x + 43)
Determine s so that 4/5*s**5 + 2*s**4 - 2/5*s + 6/5*s**3 - 2/5*s**2 + 0 = 0.
-1, 0, 1/2
Let u be (1 - 2)/(1/(-2)). Let s = 1701 + -1697. What is k in -125*k**3 - 31*k**2 + 40*k**s - 140*k + 171*k**u + 276 - 236 - 5*k**5 + 50*k**2 = 0?
1, 2
Let m be ((-100)/(-4))/5 + 12376/(-2476). Let b = 622/1857 - m. Factor -1/3*x - x**3 - b*x**4 - x**2 + 0.
-x*(x + 1)**3/3
Suppose 13*n + f = 18*n - 16, 14*f + 90 = 3*n. Let u(x) be the second derivative of 2*x + 0*x**n + 0 + 1/72*x**4 - 1/18*x**3. Let u(j) = 0. What is j?
0, 2
Suppose -5*n + 3*c + 4 = 0, 0 = 2*n - 1796*c + 1798*c - 8. Solve -1/3*b**3 - 28*b + 48 + 16/3*b**n = 0 for b.
4, 6
Let u(y) be the first derivative of -93 + 0*y**2 + 21/20*y**4 + 6/25*y**5 + 0*y - 1/10*y**6 + 4/5*y**3. Let u(n) = 0. Calculate n.
-1, 0, 4
Suppose -16*i - 6 = -18*i + 2*t, 0 = -5*i - 4*t + 6. Suppose -39*y = -35*y + i*d - 14, 0 = -3*y + 4*d - 17. Factor 1/2*z - 1/2*z**3 + y - z**2.
-(z - 1)*(z + 1)*(z + 2)/2
Let m(j) be the second derivative of j**6/360 + j**5/6 + j**3/6 - 19*j**2 - 94*j. Let y(t) be the second derivative of m(t). Factor y(h).
h*(h + 20)
Let j(t) be the first derivative of t**3/12 - 27*t**2/2 - 171*t - 13512. Suppose j(z) = 0. What is z?
-6, 114
Let q(r) be the third derivative of -r**6/24 - r**5/20 - 4*r**3/3 - r**2 - 14*r. Let j(o) be the first derivative of q(o). Factor j(c).
-3*c*(5*c + 2)
Suppose 299 = -90*x + 272*x - 259 + 194. Factor 9/8*z**x - 21/8*z + 3/4.
3*(z - 2)*(3*z - 1)/8
Let f(k) be the first derivative of -5*k**3/3 - 1515*k**2/2 + 3050*k + 11918. Factor f(l).
-5*(l - 2)*(l + 305)
Let r(w) be the first derivative of -12*w - 8/3*w**3 - 28 - 11*w**2 + 1/2*w**4. Factor r(o).
2*(o - 6)*(o + 1)**2
Let l(h) be the first derivative of -h**6/90 + 37*h**5/15 - 1369*h**4/6 + 76*h**3/3 - 131. Let q(g) be the third derivative of l(g). Factor q(p).
-4*(p - 37)**2
Suppose 2*a + 29 = 5*b, 0 = 3*a - 0*b + b + 35. Let y be (a/(-18))/((-14)/18 - -1). Factor -24*g**2 + 18*g**2 - 5*g + 3*g + 6 - g + y*g**3.
3*(g - 2)*(g - 1)*(g + 1)
Find u, given that -53*u - 1/3*u**3 - 1/3*u**4 + 36 + 53/3*u**2 = 0.
-9, 1, 3, 4
Let 3/4*d**2 + 4907523/4 - 3837/2*d = 0. Calculate d.
1279
Let b be 2*-1 - (-10 - -3 - 1). Suppose 39*w**2 - 80*w**3 - 48*w**4 - b*w**5 - 27*w**4 + 10*w - 14*w**5 - 54*w**2 = 0. Calculate w.
-2, -1, 0, 1/4
Let j(b) be the second derivative of 3/4*b**5 - 8/5*b**6 + 1/2*b**4 - 1 + 12*b + 9/14*b**7 + 0*b**3 + 0*b**2. Factor j(d).
3*d**2*(d - 1)**2*(9*d + 2)
Let x(w) = w**3 + 280*w**2 + 1913*w + 16. Let a be x(-7). Solve 22/5*h**a + 26/5 + 10*h - 2/5*h**3 = 0 for h.
-1, 13
Let x(d) be the first derivative of d**7/315 + d**6/80 - d**5/36 - d**4/48 + 3*d**2/2 + 27. Let q(i) be the second derivative of x(i). Factor q(z).
z*(z - 1)*(z + 3)*(4*z + 1)/6
Let n(u) = u - 14. Suppose -3*b + 8*b = 80. Let w be n(b). Determine j so that -21*j**2 + 25*j**w + 9 + 55 - 32*j = 0.
4
Let k(h) be the first derivative of -h**6/21 + 2*h**5/7 + 3*h**4/2 + 46*h**3/21 + 8*h**2/7 + 730. Suppose k(l) = 0. Calculate l.
-1, 0, 8
Let w(v) be the second derivative of -v**5/20 + 19*v**4/12 - 56*v**3/3 + 96*v**2 + 2196*v. Factor w(p).
-(p - 8)**2*(p - 3)
Let k = 74 - 62. Let 10*m**2 + 42*m**2 + k + 16*m**4 - 48*m**3 + 16*m**2 - 46*m - 2*m**5 = 0. Calculate m.
1, 2, 3
Let d be ((-1)/(5/2))/(4/(-20)). Factor 49*g**2 + 0*g - 48*g**d + 4*g + 2*g.
g*(g + 6)
Let m(l) be the third derivative of -l**5/20 - 83*l**4/24 + 5*l**3 - 173*l**2. Let g be m(-28). Find p such that 21/8*p - 3/8*p**g + 0 = 0.
0, 7
Suppose -4*q - 5*s + 9275 = 0, 11598 = 3*q + 2*q + 2*s. Factor -5*t**3 + 235*t**2 + 1563*t - q*t + 560 - 2118*t + 2085.
-5*(t - 23)**2*(t - 1)
Determine k so that -8*k - 2/7*k**2 + 120/7 = 0.
-30, 2
Let a(n) be the first derivative of 2*n**6/3 + 184*n**5/5 - 147*n**4 + 16*n**3/3 + 392*n**2 + 1275. Find j such that a(j) = 0.
-49, -1, 0, 2
Let b(y) be the third derivative of y**8/784 - 2*y**7/245 + 4*y**5/35 - 2*y**4/7 - 100*y**2. Suppose b(t) = 0. What is t?
-2, 0, 2
Let v(l) be the first derivative of 9*l + 1/18*l**3 + 1/30*l**5 + 5/72*l**4 - 7 + 0*l**2 + 1/180*l**6. Let n(q) be the first derivative of v(q). Solve n(t) = 0.
-2, -1, 0
Suppose 9/2 + 9/8*t**2 - 6*t + 3/8*t**3 = 0. Calculate t.
-6, 1, 2
Let p(a) be the third derivative of a**8/504 + a**7/126 - 11*a**6/120 + 49*a**5/180 - 29*a**4/72 + a**3/3 - 167*a**2 + 1. Find t, given that p(t) = 0.
-6, 1/2, 1
Let c be ((-657)/36)/73*-16. Determine q so that -64/11*q**c - 6/11 + 168/11*q**3 + 52/11*q - 150/11*q**2 = 0.
1/4, 3/8, 1
Let z be (-5046)/464 - (-1 + -10). Let l(g) be the second derivative of -18*g - z*g**4 + 0 - 12*g**2 + 2*g**3. Factor l(n).
-3*(n - 4)**2/2
Suppose -3*o - 128 = -11*o. Suppose 12*q = -2*n + 7*q + o, 0 = -n + 3*q - 3. Factor -8/3*y + 1 + 13/9*y**2 - 2/9*y**n.
-(y - 3)**2*(2*y - 1)/9
Let o(c) be the first derivative of -c**6/120 + c**5/8 + 3*c**4/4 - 122*c**3/3 - 100. Let q(h) be the third derivative of o(h). Factor q(i).
-3*(i - 6)*(i + 1)
Suppose -13*g - 372 + 424 = 0. Let v(a) be the first derivative of -36/7*a**3 - 4/7*a**g - 28 + 24/7*a - 34/7*a**2. Factor v(y).
-4*(y + 1)*(y + 6)*(4*y - 1)/7
Let c(r) be the second derivative of r**6/90 - 2*r**4/3 + 133*r**3/6 + r**2 + 2*r + 5. Let y(q) be the second derivative of c(q). Factor y(h).
4*(h - 2)*(h + 2)
Let g(n) = 9*n**2. Let q be ((-144)/10)/6 + 4/10. Let m be g(q). Factor 2*d**2 + m*d - 39*d - 5*d**2.
-3*d*(d + 1)
Let b be (-1520)/140 - 252/27*(-27)/18. Factor -40/7 + 2/7*i**3 + 16/7*i**2 + b*i.
2*(i - 1)*(i + 4)*(i + 5)/7
Let f(g) = -g**2 - 29*g - 91. Let j be f(-25). Let 5*h**4 + 2*h**5 - j*h**3 - h**2 - 6 - 12*h**2 - h**5 - 6 + 28*h = 0. Calculate h.
-6, -2, 1
Let c(z) be the third derivative of z**5/180 + 302*z**4/3 + 729632*z**3 - 12*z**2 + 24*z. Factor c(i).
(i + 3624)**2/3
Let c = 3186627/8 + -398328. Let -7*p**4