 c(p) = -p**3 - 2*p**2 - 7. Let o be c(-3). Let u = 27452/15 + -1830. Factor -2/15*w**o + u*w + 4/15.
-2*(w - 2)*(w + 1)/15
Suppose 2205000/13 + 2/13*i**2 + 4200/13*i = 0. What is i?
-1050
Suppose 43*i = 10 - 2 - 8. Let b(f) be the second derivative of 0*f**2 + 1/15*f**6 + 0*f**3 + i*f**4 + 21*f + 0 + 1/5*f**5. What is q in b(q) = 0?
-2, 0
Let p(s) = -s + 10. Let z = 922 + -914. Let r be p(z). Factor 32/9*k - 2/3 - 10/9*k**r.
-2*(k - 3)*(5*k - 1)/9
Factor -13/2 + 11/6*d**2 + 29/6*d - 1/6*d**3.
-(d - 13)*(d - 1)*(d + 3)/6
Suppose 20*i**3 + 17*i**2 + 1/3*i**4 - 484/3*i - 236 = 0. Calculate i.
-59, -2, 3
Let t(g) = -6*g**3 - 84*g**2 - 556*g + 616. Let f(p) = -7*p**3 - 86*p**2 - 556*p + 616. Let i(d) = -10*f(d) + 11*t(d). Factor i(v).
4*(v - 22)*(v - 1)*(v + 7)
Suppose 5*c = -2*i + 144, 5*c - 33 + 135 = i. Let m = i + -77. Find s such that 53 + 14*s - 13 + 25*s - 9*s + m*s**2 = 0.
-4, -2
Suppose -h - 3*n = -0*n - 17, -25 = -h - 5*n. Suppose -4*j = -18 + 6, -21 = -3*z - h*j. Factor -z + 26*q**3 + 2 - 4*q**4 - 24*q**3 + 2*q**5.
2*q**3*(q - 1)**2
Let w be (1 - 3) + 7 - -7. Find r, given that -42*r**2 + 80*r**2 + 4*r + w*r - 48*r**2 - 2*r**3 + 24 = 0.
-6, -1, 2
Let 462*t**2 + 2/5*t**4 + 490*t - 138/5*t**3 + 0 = 0. Calculate t.
-1, 0, 35
Let g(q) be the second derivative of -9/5*q**5 + 0 - 2/15*q**6 + 5/3*q**4 + 32/3*q**3 - 67*q + 2/21*q**7 - 24*q**2. Solve g(r) = 0 for r.
-2, 1, 3
Suppose 343 = 2*t + 337. Factor -58*c - 57*c**2 + 21*c**3 - 223*c**2 - 70*c**2 - 22*c + 35*c**4 - 256*c**t.
5*c*(c - 8)*(c + 1)*(7*c + 2)
Suppose 5978 = 477*w + 254. Determine u, given that -2/3*u**3 + 22/3*u - w + 16/3*u**2 = 0.
-2, 1, 9
Let s(j) be the third derivative of -8*j**2 + 1/120*j**6 + 0*j**3 - 1/24*j**4 + 0*j + 0*j**5 + 0. Determine u so that s(u) = 0.
-1, 0, 1
Solve 0*p**2 + 0*p - 2/11*p**4 + 0 - 62*p**3 = 0 for p.
-341, 0
Let l(r) be the second derivative of -r**5/170 + r**4/51 + 4*r**3/51 - 8*r**2/17 - 19*r + 23. Factor l(g).
-2*(g - 2)**2*(g + 2)/17
Let g(n) be the third derivative of -n**6/120 + 3*n**5/10 - 4*n**4/3 - 7*n**2 + 36. Factor g(m).
-m*(m - 16)*(m - 2)
Let d be (-10 - (-3 + -1))/((-60)/200*50). Factor -4/5*h**2 + d*h**3 - 16/5*h + 0.
2*h*(h - 4)*(h + 2)/5
Let -272/3*j**3 - 1/3*j**5 - 21/2*j**4 + 48*j**2 - 1152 + 2304*j = 0. What is j?
-12, 1/2, 4
Let k be 2/(-2) + -1 - -6. Let m be ((-5598)/1555)/((-84)/20). Factor -2/7*y**k - 4/7*y**2 + 0*y + m*y**3 + 0.
-2*y**2*(y - 2)*(y - 1)/7
Suppose l + 2 = 0, -21*l - 475 = b - 24*l. Let g = b - -484. Suppose -8/5*z + 2/5*z**5 + 2*z**4 + 6/5*z**g + 0 - 2*z**2 = 0. What is z?
-4, -1, 0, 1
Let n be ((-2)/(-22220))/(73/1462044). Let y = n - 3/1111. Factor -3/5*k + 6/5 - y*k**2 + 3/5*k**3 + 3/5*k**4.
3*(k - 1)**2*(k + 1)*(k + 2)/5
Suppose 3*v + 6 = 12. Suppose 24*d**3 + 96 - 13*d**5 + 17*d**v + 31*d**2 - 144*d + 16*d**5 - 18*d**4 = 0. What is d?
-2, 2
Let r = -219761 - -219765. Find v such that -19/9*v**3 + 0 - 1/9*v**r - 112/9*v**2 - 64/3*v = 0.
-8, -3, 0
Let y(p) be the first derivative of -283 + 4/3*p**3 + 30*p**2 - 64*p. Let y(s) = 0. What is s?
-16, 1
Let r(l) = -2*l**3 + 146*l**2 + 5108*l + 27104. Let b(g) = 3*g**3 - 303*g**2 - 10215*g - 54208. Let m(q) = 4*b(q) + 7*r(q). Factor m(c).
-2*(c + 7)*(c + 44)**2
Let w(x) be the first derivative of -x**6/9 + 4*x**5/5 + 4*x**4/3 - 4*x**3/3 - 7*x**2/3 - 331. Determine v so that w(v) = 0.
-1, 0, 1, 7
Factor -2/13*v**2 + 352/13*v - 1038/13.
-2*(v - 173)*(v - 3)/13
Let q(p) be the first derivative of p**4/24 - 2123*p**3/6 + 4507129*p**2/4 - 9568634867*p/6 + 13855. Factor q(l).
(l - 2123)**3/6
Let s(q) = -23*q**2 - 71*q. Let m(k) = 270*k**2 + 855*k. Let n(c) = 3*m(c) + 35*s(c). Find y, given that n(y) = 0.
-16, 0
Let t = -1372420 + 1372906. Find a, given that -135*a**2 - 1/2*a**4 - 729/2 + t*a + 14*a**3 = 0.
1, 9
Let o(d) = -22*d**3 - d**2 - 3*d - 2. Let n be o(-1). Factor -9*l**2 - 3*l**3 + 12*l + n*l**3 - 25*l**3 + 12 + 3*l**4.
3*(l - 2)**2*(l + 1)**2
Let v(d) = 1081*d - 47559. Let z be v(44). Let -15/4*r**3 - 3/4*r**z + 9/2*r + 15/4*r**4 + 0 - 15/4*r**2 = 0. Calculate r.
-1, 0, 1, 2, 3
What is w in -1/2*w**5 - 98*w**2 - 5/2*w**4 + 33*w**3 + 116*w - 48 = 0?
-12, 1, 2
Let t(j) be the second derivative of -j**6/40 + 9*j**5/20 - j**4 - 150*j**2 + 145*j. Let l(z) be the first derivative of t(z). Solve l(q) = 0.
0, 1, 8
Let q(f) = f**2 + 6*f. Let n be q(-6). Let r(x) be the second derivative of -3/100*x**5 - 1/30*x**3 - 1/20*x**4 + n + 0*x**2 - 11*x - 1/150*x**6. Factor r(g).
-g*(g + 1)**3/5
Let g(o) be the first derivative of o**5/15 - 5*o**4/12 - 19*o**3/9 + 29*o**2/6 + 14*o + 42. Let g(l) = 0. Calculate l.
-3, -1, 2, 7
Let r(z) = -5*z**2 - 14*z + 57. Suppose -480*u - 15 = -477*u. Let h be r(u). Find f such that 1/7*f**h + 25/7 - 10/7*f = 0.
5
Let c(t) be the third derivative of 1/30*t**5 + 1/12*t**4 + 0 - 2*t + 1/9*t**3 + 1/180*t**6 - 159*t**2. Let c(d) = 0. What is d?
-1
Let t be (-124)/(-10) - (-2)/(-5). Suppose -3*k = -4*n - 7*k + t, -5*n + 2*k = -15. Solve 3*d**4 - 8*d**2 + 12 + 15*d**n - 40*d**3 - d**2 + 19*d**3 + 12*d = 0.
-1, 2
Let n be 14/(-7) + (-5 - -10). Let o be (3*(2 - n))/(12/(-16)). Factor 0*c**2 + 0 - 6*c - 3/2*c**o + 9/2*c**3.
-3*c*(c - 2)**2*(c + 1)/2
Let p(s) be the third derivative of 53*s**2 + 0*s**3 + 1/20*s**5 - 13/8*s**4 + 0*s + 0. Determine y so that p(y) = 0.
0, 13
Let k(l) be the first derivative of l**3/2 - 1755*l**2/2 + 1026675*l/2 - 2172. Let k(y) = 0. What is y?
585
Let d = 5/463 - -18505/1389. Factor 4/3*a**2 - d*a + 2/3*a**3 + 16.
2*(a - 2)**2*(a + 6)/3
Let j(o) be the first derivative of -o**5/10 - o**4/8 + 50*o**3/3 + 25*o**2 - 1371. Solve j(p) = 0 for p.
-10, -1, 0, 10
Suppose 1987 - 23395 = -6864*z + 1082*z - 1354*z. What is l in -4/5*l - 6/5*l**z + 0 - 14/5*l**2 + 2*l**5 + 14/5*l**4 = 0?
-1, -2/5, 0, 1
Determine u so that 21*u**2 + 9*u**2 + 160*u + 1365 + 6*u**2 - 41*u**2 = 0.
-7, 39
Let h = -77663/32 + 2427. Let m(b) be the first derivative of -4 - 1/6*b**3 + 0*b - 1/4*b**2 - h*b**4. Factor m(q).
-q*(q + 2)**2/8
Let y(u) be the second derivative of -u**4/72 + 137*u**3/9 - 18769*u**2/3 + 6*u - 46. Factor y(r).
-(r - 274)**2/6
Suppose 0 = -5*p - 4*b + 53 - 35, 3*p = 3*b. Let x(r) be the first derivative of 6*r**p - 8*r - 15 - 4/3*r**3. Let x(o) = 0. What is o?
1, 2
Suppose n = -n - 0*n. Suppose n = 3*g - g - 100. Factor -17*u**2 - 14*u - 43*u**3 + 34*u**3 + g*u**2 - 9 - u.
-3*(u - 3)*(u - 1)*(3*u + 1)
Let u(a) be the first derivative of 0*a**3 - 1/160*a**5 - 21/2*a**2 + 0*a - 1/32*a**4 - 27 + 1/320*a**6. Let c(x) be the second derivative of u(x). Factor c(r).
3*r*(r - 2)*(r + 1)/8
Suppose 16 - 13 = 4*o + 3. Let q(h) be the second derivative of 0 - 1/45*h**6 + 0*h**5 + o*h**3 + 0*h**2 + 1/18*h**4 - 22*h. Factor q(d).
-2*d**2*(d - 1)*(d + 1)/3
Let p = 682 + -679. Let f = 7 - 4. Factor 6*z**2 - 3*z**4 - 8*z**2 + p*z**f + 2*z**2.
-3*z**3*(z - 1)
Let d(m) be the second derivative of -m**6/70 - 3*m**5/5 + 93*m**4/28 + 125*m + 4. Factor d(a).
-3*a**2*(a - 3)*(a + 31)/7
Let k(x) = -x**2 + 77*x - 272. Let f be k(73). Let j be ((-1)/3)/((-15)/f). Factor 4/9*z + 0 - 2/3*z**4 + z**5 + j*z**2 - 11/9*z**3.
z*(z - 1)**2*(3*z + 2)**2/9
Let f = -9/4316 + 272/1079. Let z(t) be the first derivative of -1/5*t**5 + 0*t**2 + 1/6*t**6 + 39 + 0*t + 1/3*t**3 - f*t**4. Let z(k) = 0. What is k?
-1, 0, 1
Let y(f) be the first derivative of -f**4/18 - 7*f**3/9 + 6*f**2 + 26*f - 104. Let u(w) be the first derivative of y(w). Solve u(n) = 0.
-9, 2
Let i(a) be the third derivative of -a**9/12096 - a**8/2240 + a**6/360 - 23*a**3 - 2*a**2 - 20. Let v(l) be the first derivative of i(l). Factor v(b).
-b**2*(b - 1)*(b + 2)**2/4
Suppose -4*c - i = -11, 3*i - 11 + 12 = 5*c. Let o(m) be the second derivative of -7*m + 1/6*m**4 - 2*m**c + 0 + 1/3*m**3. What is b in o(b) = 0?
-2, 1
Let i(o) be the third derivative of 3*o**7/350 - o**6/10 - 7*o**5/150 + 143*o**4/30 - 169*o**3/10 + 286*o**2. Determine b so that i(b) = 0.
-3, 1, 13/3
Let h be (-12)/(-24)*(-12)/(-2). Determine p, given that -3*p**h - 22*p + 47*p**2 + 15*p - 28 - 12*p - 49*p = 0.
-1/3, 2, 14
Suppose 0*m - 16 = m - 4*d, -16 = 5*m - 4*d. Factor m*z**4 - 3*z + 4*z**2 + 6*z**4 - 3*z**4 + 5*z**2 - 9*z**3.
3*z*(z - 1)**3
Suppose -2*q + 25*v + 13 = 28*v, 2 = -5*q + 4*v. Let l = 2 - 2. Factor 5*u**2 + u**2 + l*u**