6*a**2 - a + 11. Determine c, given that f(c) = 0.
1, 8, 42
Let l(f) be the third derivative of f**5/5 - 3311*f**4/6 - 736*f**3 + 5262*f**2. Solve l(b) = 0 for b.
-1/3, 1104
Let l = -121 - -123. Factor 6*p**3 - 5*p**3 - 4*p**4 + l + 9*p**4 - 15*p**2 + 7*p.
(p - 1)**2*(p + 2)*(5*p + 1)
Let u be 10 + 0 + (5/(-5) - 1). Suppose -u - 100 = -27*i. Solve 2*a**3 - 6/7*a**i - 4/7*a**2 + 0*a + 0 = 0.
0, 1/3, 2
Determine c so that 8224*c**3 + 4850259*c**2 - 71*c**4 + 2047713*c**2 + 279198105664 + 2172747904*c + 75*c**4 + 1760203*c**2 - 2317471*c**2 = 0.
-514
Determine c so that -78*c**4 + 404*c**2 + 15*c**5 + 350*c**3 - 542*c - 5*c**5 + 400 - 6*c**5 - 653*c + 115*c = 0.
-2, 1/2, 1, 10
Let y = 48915 + -1467449/30. Let v(h) be the second derivative of 0*h**2 + 1/60*h**4 - y*h**3 + 1/50*h**5 + 6*h - 1. Factor v(l).
l*(l + 1)*(2*l - 1)/5
Let r(t) be the third derivative of 1/10*t**7 - 12*t**2 + 11/10*t**5 + 2*t + 13/8*t**4 + 9/20*t**6 + 3/2*t**3 + 0 + 1/112*t**8. Solve r(v) = 0 for v.
-3, -1
Suppose 4*f = 3*i - 6165, -5*i = 3*f - 2*f - 10275. Let k be (2/(-15)*-3)/(3/i). Find q such that -k*q + 16*q**3 - 4*q**4 - 20*q**2 + 282*q + 0 + 0 = 0.
0, 1, 2
Determine k, given that -341172*k**4 + 867300*k - 1442037 + 893130*k**2 + 98739*k**3 - 59049*k**5 + 413037 - 313181*k**3 - 116767*k**3 = 0.
-70/27, 1
Let p be ((-8)/16)/((-2)/(-4)). Let m be (8 + (-2 - 6))/p. What is d in m*d - 1/3*d**2 + 0 = 0?
0
Let a(b) be the second derivative of 3*b**2 + 0 - 1/36*b**4 - 16*b - 1/6*b**3. Suppose a(s) = 0. Calculate s.
-6, 3
Let f(c) = -3*c**4 - 21*c**3 + 198*c**2 + 1092*c - 2688. Let a(p) = -6*p. Let d(o) = 6*a(o) + f(o). Factor d(h).
-3*(h - 7)*(h - 2)*(h + 8)**2
What is g in 200/9*g**2 + 40/9*g**4 + 32/9 - 130/9*g - 2/9*g**5 - 140/9*g**3 = 0?
1, 16
Let y(b) = -b**2 + 10*b - 11. Let u be y(8). What is k in -92*k**2 - 42 - 10*k**5 + 54 - 80*k**4 - 4*k**u - 2*k - 144*k**3 = 0?
-3, -1, 2/7
Let d(o) be the first derivative of 31 + 25/24*o**4 + 19*o**2 + 0*o + 1/24*o**6 - 1/3*o**5 - 5/3*o**3. Let g(h) be the second derivative of d(h). Factor g(w).
5*(w - 2)*(w - 1)**2
Let z(l) be the second derivative of 4*l**3 + 3/4*l**4 + 0 + 94*l - 1/10*l**6 - 3/10*l**5 + 6*l**2. Find y, given that z(y) = 0.
-2, -1, 2
Suppose b + 10 - 12 = 0. Let z be 11/((-33)/(-45)) + 4/b. Determine p so that -13*p + z*p - 24 + 23*p - 3*p**2 = 0.
1, 8
Let p(z) = 13*z - 12. Let y be p(-5). Let n be y/35 - (-3 - 2 - -1). Suppose 0 + 36/5*k**4 + 23/5*k**3 + n*k**5 - 16/5*k**2 - 12/5*k = 0. Calculate k.
-3, -1, -2/3, 0, 2/3
Let r(p) be the second derivative of -27/40*p**5 + 0*p**3 - 57*p + 7/4*p**4 + 1/20*p**6 - 2 + 0*p**2. Factor r(b).
3*b**2*(b - 7)*(b - 2)/2
Let p be (126/(-15))/((-76)/380). Let t(d) be the first derivative of 0*d**2 + p - 15/4*d**4 + d**5 + 0*d + 10/3*d**3. Solve t(i) = 0.
0, 1, 2
Let p = 6 - 7. Let o(b) = -3*b**3 + 15*b**2 - 24*b. Let t(j) = 18 - j - 13 - 3 - 2. Let a(x) = p*o(x) + 12*t(x). Factor a(s).
3*s*(s - 4)*(s - 1)
Solve 72*a**4 - 6/5*a**5 + 5832*a**2 - 39366/5*a - 6372/5*a**3 + 0 = 0.
0, 3, 27
Let p(w) be the second derivative of -w**5/20 - 9*w**4/2 - 53*w**3/6 + 1775*w. Let p(j) = 0. What is j?
-53, -1, 0
Let k(a) be the first derivative of -5/4*a**4 - 164 - 15/2*a**2 - 20/3*a**3 + 0*a. Solve k(g) = 0.
-3, -1, 0
Let c = -141355 - -141358. Suppose -62500/3 - 4/3*i**c - 2500*i - 100*i**2 = 0. Calculate i.
-25
Let i(x) be the second derivative of x**5/50 - 18*x**4/5 + 187*x**3 + 1210*x**2 + 720*x. Factor i(p).
2*(p - 55)**2*(p + 2)/5
Suppose -6*l - 330 + 450 = 0. Determine i so that 44*i**2 + 5*i**4 - l*i + 5*i**3 - 33*i**2 - 31*i**2 = 0.
-2, -1, 0, 2
Let a(m) be the first derivative of m**6/21 - 754*m**5/35 + 16901*m**4/7 + 216564*m**3/7 + 995301*m**2/7 + 2011446*m/7 - 3935. Factor a(j).
2*(j - 193)**2*(j + 3)**3/7
Let h(b) = b**2 - 11*b + 12. Let p be h(10). What is o in 3*o**p - 22 + 2*o**2 - 20*o - 3 + 0*o**2 = 0?
-1, 5
Let c(h) be the first derivative of 32/7*h - 2/21*h**3 - 82 + 15/7*h**2. Let c(n) = 0. Calculate n.
-1, 16
Solve 68/5*y**3 - 9/5*y - 34/5*y**4 + 0 + y**5 - 6*y**2 = 0 for y.
-1/5, 0, 1, 3
Let d(l) = 2*l**2 - 130 - l - 5*l**2 + 143 - 7*l. Let a(p) = p**2 + 3*p - 4. Let r(x) = -17*a(x) - 6*d(x). Find c such that r(c) = 0.
-2, 5
Let s(p) be the first derivative of p**3/9 - 53*p**2/6 + 132*p - 465. Factor s(i).
(i - 44)*(i - 9)/3
Suppose -2*v = 2*v + 3*d - 8, 3*d + 4 = 2*v. Find b, given that -26*b**3 - 59360*b + 59372*b + 2*b**v - 4*b**3 = 0.
-3/5, 0, 2/3
Let m be -19*((-1275)/(-323) + -4). Determine s so that 9/2*s + m - 11/2*s**2 = 0.
-2/11, 1
Let d = -924026/7 + 132004. Let 0*h + 40/7*h**3 + 200/7*h**2 + 0 + d*h**4 = 0. What is h?
-10, 0
Let c(f) be the second derivative of 1/5*f**6 - 8/21*f**3 + 0 + 22/21*f**4 + 0*f**2 - 31/35*f**5 + 249*f. Find k such that c(k) = 0.
0, 2/7, 2/3, 2
Suppose -3*l = -p + 4, 4*l + 4*p + 1143 - 1191 = 0. Solve -1/5*w**3 + 1/5*w - 19/5 + 19/5*w**l = 0 for w.
-1, 1, 19
Suppose 209/5*l**4 + 4899/5*l**3 + 3/5*l**5 + 24334/5*l + 7935*l**2 + 0 = 0. Calculate l.
-23, -2/3, 0
Let y(d) be the second derivative of -d**6/105 + 11*d**5/70 + 8*d**4/21 - 44*d**3/21 - 48*d**2/7 - 69*d + 5. Suppose y(p) = 0. What is p?
-2, -1, 2, 12
Let q(w) = 58*w - 5796. Let l be q(100). Let f(z) be the second derivative of -6*z - 1/8*z**4 - l*z**3 - 48*z**2 + 0. Factor f(o).
-3*(o + 8)**2/2
Let i be -27 - (36 - 70) - (-42)/(-38). Factor -i*b**2 + 50/19*b + 32/19*b**3 - 6/19.
2*(b - 3)*(4*b - 1)**2/19
Suppose 6 - 10 = -2*w. Suppose -w*a + 6 + 14 = 0. Let -18*i**3 - 4*i**5 + 2*i**5 + a*i**4 + i**2 - 4*i + 13*i**2 = 0. Calculate i.
0, 1, 2
Let y(h) be the first derivative of -3*h**4/22 + 2*h**3/11 + 27*h**2/11 - 54*h/11 - 1563. Factor y(f).
-6*(f - 3)*(f - 1)*(f + 3)/11
Let v = 2255 - 2243. Let w be (-4 - (-1251)/252)/(9/v). Factor -w + 3/7*p**2 + 6/7*p.
3*(p - 1)*(p + 3)/7
Suppose 33*b + 1823 - 1823 = 0. Factor b + 3/2*j - 1/2*j**2.
-j*(j - 3)/2
Let u(p) = -756*p**2 + 1028*p + 248. Let i(t) = -59*t**2 + 79*t + 19. Let g(h) = -40*i(h) + 3*u(h). Find l such that g(l) = 0.
-4/23, 1
Factor -155*o**4 + 4*o**5 - o**5 + 34790*o + 269053*o**3 + 2*o**5 - 41160 - 267148*o**3 - 11585*o**2.
5*(o - 7)**3*(o - 6)*(o - 4)
Let h = 61162 + -61159. Factor 1/3*s**2 + 1/6*s**5 + 0*s + 0 - 1/3*s**4 - 1/6*s**h.
s**2*(s - 2)*(s - 1)*(s + 1)/6
Let m = -718745/2 - -359373. Suppose -1/2*i**5 + 3/2*i**4 + 3/2 - 3*i**2 + i**3 - m*i = 0. Calculate i.
-1, 1, 3
Suppose 5*p = -4*i - 692, 395 = -4*i + 4*p - 261. Let n be 7 + 1122/i + 6/14. Suppose -3/8*d**2 - n*d + 0 = 0. Calculate d.
-2, 0
Let j(x) = -x**2 + 2*x - 2. Let g(h) be the first derivative of h**3/3 - 9*h**2 + 30*h + 63. Let d(p) = -g(p) + 3*j(p). Factor d(o).
-4*(o - 3)**2
Let n(f) be the third derivative of -17*f**6/160 + f**5/30 + f**4/32 - 3*f**2 - 150. Suppose n(p) = 0. What is p?
-3/17, 0, 1/3
Find k, given that 1544*k**2 - 50/3*k**4 + 640/3 - 3328/3*k - 760/3*k**3 = 0.
-20, 2/5, 4
Let h(u) be the first derivative of -u**7/2205 - 2*u**6/315 - 13*u**5/630 - u**4/42 - u**2 + 4*u + 100. Let o(m) be the second derivative of h(m). Factor o(a).
-2*a*(a + 1)**2*(a + 6)/21
Let m = -3839 - -3842. Let j be (-8)/(-6) - 2/(-3). Factor -l**m - l**2 + j*l - 2*l + 0*l + l + 1.
-(l - 1)*(l + 1)**2
Let g be 116/22 - (10/50 - (-4)/55). Let l(n) be the first derivative of 26 - 5*n**2 + 0*n + n**5 - g*n**4 + 25/3*n**3. Find r such that l(r) = 0.
0, 1, 2
Let l(t) be the second derivative of t**7/21 + t**6/15 - t**5/2 - 5*t**4/6 + 4*t**3/3 + 4*t**2 + 774*t. What is a in l(a) = 0?
-2, -1, 1, 2
Let a(j) be the third derivative of j**5/30 - 2*j**4 + 1578*j**2. Determine q so that a(q) = 0.
0, 24
Let t(r) be the second derivative of -r**7/14 + 22*r**6/5 - 309*r**5/10 - 1595*r**4 - 11961*r**3/2 - 8748*r**2 - 3561*r. Let t(l) = 0. Calculate l.
-8, -1, 27
Let s be 2/14*70/30*(-6 + 12). Let t(l) be the first derivative of 12 + 68/3*l**3 - 16*l + 92/5*l**5 + 35*l**4 + 10/3*l**6 - 8*l**s. Solve t(p) = 0 for p.
-2, -1, 2/5
Let y(l) be the second derivative of l**6/120 + l**5/12 + l**4/3 + 2*l**3/3 - 32*l**2 - 3*l + 1. Let r(c) be the first derivative of y(c). Factor r(m).
(m + 1)*(m + 2)**2
Let z be ((-64)/(-20) - 2) + 7601/(-24255). Let v = 1/441 + z. Find x such that 16/9 - 20/9*x + v*x**3 + 2/9*x**4 - 2/3*x**2 = 0.
-4, -2, 1
Let x(w) = w**3 + w**2 + 2*w + 