derivative of -r**7/84 + r**6/10 + r**5/20 - 3*r**4/2 - r**3/12 + 15*r**2/2 - 1058*r. Let q(l) = 0. What is l?
-2, -1, 1, 3, 5
Let v(n) be the second derivative of -52 + 505/42*n**4 - 5/21*n**6 + 28*n**2 + 23/14*n**5 + 1/147*n**7 + 80/3*n**3 + 2*n. Factor v(u).
2*(u - 14)**2*(u + 1)**3/7
Suppose -5*s - 68 = -9*s. Let m = s - 18. Let u(q) = -2*q**2 - 4*q - 14. Let l(y) = y**2 + 1. Let w(f) = m*u(f) - 6*l(f). Determine x so that w(x) = 0.
-1, 2
Let r be ((-2264)/(-16) - 142) + 0 + 10/4. Factor 3/2*a**r - 6 + 9/2*a.
3*(a - 1)*(a + 4)/2
Let h(l) be the third derivative of 22*l**7/1575 + l**6/900 - 13*l**4/24 - l**3/6 - 115*l**2. Let p(w) be the second derivative of h(w). Factor p(r).
4*r*(44*r + 1)/5
Suppose -16*r = -24*r - 328. Let n = 163 - r. Factor -320*u - n*u**2 + 36*u**3 - 182 + 120 - 50.
4*(u - 7)*(3*u + 2)**2
Let j(d) = -d**2 + 3*d + 72. Let o(a) = 22*a**2 - 13*a + 1. Let x be o(1). Let v be j(x). Solve 1/4*s**v + 5/4 - 3/2*s = 0.
1, 5
Solve 2/9*p**3 - 704/9 + 44/9*p**2 - 32/9*p = 0.
-22, -4, 4
Let s(u) = -6*u**2 - 28*u - 42. Let k = 35 + -31. Let b(h) = -5*h**2 - 26*h - 42. Let n(o) = k*b(o) - 3*s(o). Solve n(g) = 0.
-7, -3
Let q(f) = -4*f**2 - f. Suppose -4*c = 0, -2*c = 3*s - 13 - 5. Let a(n) = -17*n**2 - 3*n. Let t(h) = s*a(h) - 26*q(h). Suppose t(l) = 0. Calculate l.
-4, 0
Let h(a) be the third derivative of a**6/40 + 36*a**5/5 - 145*a**4/8 - 2834*a**2. Suppose h(k) = 0. Calculate k.
-145, 0, 1
Let t(p) = 2*p**2 - p - 2. Let i(z) = -5*z**2 + 95*z + 415. Let x(q) = i(q) + 5*t(q). Let x(j) = 0. Calculate j.
-9
Let m = 221905 - 665555/3. Suppose -m*x**2 - 244/3*x - 56/3 + 28/3*x**3 = 0. Calculate x.
-1, -2/7, 7
Let u = 102 + -98. Determine p so that 883*p**2 + 1452*p - 3*p**u + 437*p**2 + 0*p**4 + 6*p**4 - 63*p**3 - 66*p**3 = 0.
-1, 0, 22
Let l(j) be the second derivative of 0 + 69*j + 0*j**2 + 0*j**3 + 1/4*j**4. Factor l(f).
3*f**2
What is p in -72*p + 305*p - 77*p - 61*p + 96 + p**2 - 73*p = 0?
-16, -6
Factor -12*h + 1/3*h**3 - 16/3*h**2 + 0.
h*(h - 18)*(h + 2)/3
Let q = 143379/179225 - -1/179225. Determine s so that 0*s + 0*s**2 + 0 - 2/5*s**5 - 2/5*s**4 + q*s**3 = 0.
-2, 0, 1
Let -26*y**3 + 5*y**5 - 4 + 6*y**3 + 15*y + 709*y**2 - 6 - 699*y**2 = 0. Calculate y.
-2, -1, 1
Let n(y) = -4*y**2 - 4*y + y + 0*y**2 + 5*y**2. Let m be n(4). Factor -169 - 30*x + x**2 + 4*x**2 - 6*x**2 + m*x.
-(x + 13)**2
Suppose -5*i = 4*f + 2, 0 = 12*i - 8*i - 5*f - 23. Factor -80*y**3 + 256 + 4*y**4 - 416*y + 24*y**3 + 145*y**2 + 95*y**i.
4*(y - 8)*(y - 2)**3
Let l(o) be the second derivative of -o**7/126 - o**6/45 + 17*o**5/30 - 7*o**4/9 - 43*o**3/6 + 21*o**2 - 3*o + 58. What is j in l(j) = 0?
-7, -2, 1, 3
Solve -532/9 - 30*h - 2/9*h**2 = 0.
-133, -2
Solve -57330*p + 3*p**3 + 28673*p - 63 + 28654*p + 63*p**2 = 0 for p.
-21, -1, 1
Let z = 28568 - 84973/3. Let n = -243 + z. Factor -n*w**3 + 4*w**4 + 0 + 0*w**2 + 0*w.
2*w**3*(6*w - 1)/3
Solve 0 + 2/11*a**2 + 1990/11*a = 0.
-995, 0
Factor -186094128/5*v + 47256/5*v**2 - 4/5*v**3 + 244279558688/5.
-4*(v - 3938)**3/5
Let h = -1115915 + 3347782/3. Determine q so that 8*q**2 - 4/3*q - h*q**3 + 0 + 7*q**4 - 4/3*q**5 = 0.
0, 1/4, 1, 2
Let l be 2*(-19)/2 - (-8094)/426. Let -b**3 + 0*b**2 + 0*b + l - 1/4*b**4 = 0. Calculate b.
-4, 0
What is r in 156/5 + 51/5*r + 3/5*r**2 = 0?
-13, -4
Let i(t) = 3*t**2 - 17*t - 118. Let u be i(-8). Let b = 213 - u. Let -2/3 + 0*n**b + 16/9*n + 2/9*n**4 - 4/3*n**2 = 0. What is n?
-3, 1
Let n be (-160)/(-28)*(-21)/(-6). Suppose 0*z + z - n = 0. Determine s so that -z*s**3 + s**2 + 21*s**3 + 8*s**2 + 27 + 27*s = 0.
-3
Let k(v) be the first derivative of -2/15*v**5 - 5/9*v**4 - 2/9*v - 2/3*v**2 - 8/9*v**3 - 44. Suppose k(b) = 0. Calculate b.
-1, -1/3
Let j(y) be the first derivative of 3*y**4/4 + 13*y**3 + 48*y**2 + 60*y + 6055. What is m in j(m) = 0?
-10, -2, -1
Let q be (204/2040)/((-3)/(-225)). Factor -q - 3/2*i**2 - 9*i.
-3*(i + 1)*(i + 5)/2
Let t(b) be the third derivative of b**8/60480 - b**7/5670 - b**6/1296 - 59*b**4/24 - 6*b**2. Let g(d) be the second derivative of t(d). Factor g(w).
w*(w - 5)*(w + 1)/9
Let u(r) be the third derivative of r**6/900 + 7*r**5/150 - 23*r**4/90 + 44*r**2 + 5*r + 3. Factor u(l).
2*l*(l - 2)*(l + 23)/15
Suppose -5*z = 13*z - 90. Suppose 37*c**3 + 12*c**4 - c**2 + c**5 + z*c**2 + 25*c + 9*c**3 + 56*c**2 = 0. Calculate c.
-5, -1, 0
Let l(d) = 19*d - 169. Suppose 0 = -p + 2*n + 19, -3*p - 5*n = -4*p + 34. Let w be l(p). Factor -5/6*a**w + 10/3 + 5/2*a.
-5*(a - 4)*(a + 1)/6
Suppose 11200 = 24*x - 8*x. Let h be x/30*(-7)/(-49). Factor 2/3*f**3 + 16/3*f - 8/3 - h*f**2.
2*(f - 2)**2*(f - 1)/3
Let n be (1/(77/(-22)))/(6/(-42)). Find d such that 0*d - 236/3*d**4 + 0 - 40*d**3 - 30*d**5 - 16/3*d**n = 0.
-2, -2/5, -2/9, 0
Let o(p) be the first derivative of p**6/20 - p**5/60 - 5*p**4/6 - 5*p**3 + 43. Let q(r) be the third derivative of o(r). Suppose q(v) = 0. Calculate v.
-1, 10/9
Let w(z) = 18*z**3 - 41*z**2 - 607*z - 515. Let y(o) = 5*o**3 - 9*o**2 - 152*o - 129. Let g(r) = -6*w(r) + 22*y(r). Factor g(u).
2*(u + 1)*(u + 9)*(u + 14)
Suppose 0 = 25*t - 37*t + 3192. Find n, given that -258 - t - 4*n**4 - 7396*n**2 + 132*n**3 + 524 + 212*n**3 = 0.
0, 43
Let t(v) be the first derivative of -206 + 35*v**4 - 52/5*v**5 - 36*v**3 + 2*v**2 + 16*v. Determine w so that t(w) = 0.
-4/13, 1
Let d = 1490309 + -2980495/2. Solve -3/2*k**3 - d*k + 18 + 23*k**2 = 0.
1/3, 3, 12
Let w(p) = -7*p - 63. Let a be w(-9). Suppose -4*n + 2*y + 60 = a, 3*n - 5*y + 4 = 4*n. Factor n*b**4 + b**3 - 11*b**3 + 18*b**2 - 22*b**2.
2*b**2*(b - 1)*(7*b + 2)
Let i be 626/(-7512) + (2093/132)/7. Let m = 67/187 + 1/187. What is s in i*s**3 + 0 + 2/11*s**4 + 10/11*s**2 - m*s - 8/11*s**5 = 0?
-1, 0, 1/4, 2
Let y(w) = 8*w**2 + 216*w - 720. Let c(h) = 9*h**2 + 214*h - 723. Let x(s) = -6*c(s) + 7*y(s). Factor x(r).
2*(r - 3)*(r + 117)
Let t be (-6)/((-3 - -2)*(-13 - -16)). Let -16 + 10 + x**3 + 5*x**t - 4*x - 10 + x**2 - 2*x**2 = 0. Calculate x.
-4, -2, 2
Let a(p) = -13*p**3 + 3*p**2 + 414*p - 404. Let n(s) = -115*s**3 + 25*s**2 + 3725*s - 3635. Let u(f) = 35*a(f) - 4*n(f). Suppose u(w) = 0. What is w?
-10, 1, 8
Let r be (-10)/(-275) - (-10150)/23375. Determine i so that 0*i + 0 + 10/17*i**4 + 2/17*i**5 + r*i**2 + 16/17*i**3 = 0.
-2, -1, 0
Let f(b) be the first derivative of b**7/840 - b**6/360 - b**5/20 + 2*b**3/3 - 63*b + 139. Let q(n) be the third derivative of f(n). Factor q(p).
p*(p - 3)*(p + 2)
Let q = 32/57 + 2/19. Suppose -j = -6, 4*u + 60*j - 58*j - 12 = 0. Factor -4/3*p**2 + 4/3*p**4 + u*p**3 + q*p**5 + 0 - 2/3*p.
2*p*(p - 1)*(p + 1)**3/3
Let d(l) = -23*l - 163. Let z be d(-8). Determine h, given that 32 - 36*h**2 + 17*h**2 + z*h**2 + 3 - 36*h + 29 = 0.
2, 16
Suppose 981200*l = 981121*l + 158. Let b be (-4)/(-14) - (-3)/(-35). Find y, given that -b*y**l + 0 - 1/5*y = 0.
-1, 0
Let o(q) = -357*q**3 - 11151*q**2 - 20883*q + 3. Let g(n) = n**4 - 1070*n**3 - 33453*n**2 - 62648*n + 10. Let b(k) = 3*g(k) - 10*o(k). Factor b(a).
3*a*(a + 2)*(a + 59)**2
Find s such that -416/7*s - 2/7*s**4 - 144/7*s**3 - 138/7 - 60*s**2 = 0.
-69, -1
Factor 1/2*b**2 - 1397/2 - 698*b.
(b - 1397)*(b + 1)/2
Let p(l) = 2*l**3 - 86*l**2 + 84*l. Let f be p(42). Factor f + 0*q - 1/4*q**3 + 0*q**2 + 1/4*q**4.
q**3*(q - 1)/4
Let q(p) be the first derivative of p**5/10 - 5*p**4 - 3678. Factor q(i).
i**3*(i - 40)/2
Let 5*w**4 + 125*w**2 + 50*w**3 - 281*w**2 - 564*w**2 = 0. Calculate w.
-18, 0, 8
Let l(z) be the third derivative of z**8/336 - z**7/105 - z**6/10 + 19*z**5/30 - 37*z**4/24 + 2*z**3 - 1757*z**2. Factor l(n).
(n - 3)*(n - 1)**3*(n + 4)
Suppose 0 = -2*w + 3*o + 18, -19*o + 12 = 3*w - 16*o. Let -51*t**2 + 31*t + 72 + w*t**3 + 56 + 2*t**4 - 127*t + 8*t**2 + 3*t**2 = 0. Calculate t.
-4, 1, 4
Let t(f) be the second derivative of -f**6/360 - f**5/12 + 11*f**4/24 + 11*f**3/6 + 91*f. Let h(z) be the second derivative of t(z). Find k such that h(k) = 0.
-11, 1
Let g = -35 + 41. Suppose 2*n = n + g*n. Determine o so that n*o**2 + 0*o + o**2 + 2 + 2 + 4*o = 0.
-2
Determine v, given that -11*v + 2*v**3 - 11*v + 0*v**2 - 26*v + v**2 + 19*v**2 = 0.
-12, 0, 2
Let a(i) = -i + 1. Let v(p) = p**2 + 22*p + 13. Let j(s) = -4*a(s) - v(s). Let f be j(-17). Find w such that -3 + 2 + f*w**2 - 3 - 4*w**4 + 8*w**2 = 0.
-1, 1
Suppose -4*y - 9*a + 