+ m*o**2 = 0.
-4, 1
Let d(a) be the second derivative of -a**5/80 - 31*a**4/48 - 53*a**3/8 - 225*a**2/8 - 3*a + 104. Determine i so that d(i) = 0.
-25, -3
Let n(r) be the second derivative of -3721/4*r**4 + 0 + 122*r**3 - 6*r**2 - 3*r. Factor n(a).
-3*(61*a - 2)**2
Let z(m) be the first derivative of m**4/12 + 34*m**3/9 - 37*m**2/2 + 2717. Find s, given that z(s) = 0.
-37, 0, 3
Let u(w) be the first derivative of 2*w**5/15 - 74*w**4/3 + 1564*w**3 - 31212*w**2 - 442170*w - 326. What is t in u(t) = 0?
-5, 51
Let n(r) be the first derivative of 32*r**5/75 - 132*r**4/5 - 266*r**3/15 - 10*r**2/3 - 897. Factor n(x).
2*x*(x - 50)*(4*x + 1)**2/15
Let f(m) = -2*m**2 + 6*m + 3. Let i be f(3). Suppose 12 = 3*q + i*k, 12 + 8 = 4*q + 5*k. Solve 0 + 0*z**2 + 0*z + 3/4*z**5 + q*z**3 - 3/4*z**4 = 0 for z.
0, 1
Let n(v) be the first derivative of -v**4/2 + 2988*v**3 - 6696108*v**2 + 6669323568*v - 1552. Factor n(b).
-2*(b - 1494)**3
Let y(r) be the first derivative of 22*r**3/27 - 86*r**2/3 + 6734. Determine q, given that y(q) = 0.
0, 258/11
Factor 516*t**3 - 464*t**2 + 11*t**3 - 36*t**4 - 27*t**3.
-4*t**2*(t - 1)*(9*t - 116)
Let b be (-3)/(-27) + (-4225)/(-45). Let p = b + -90. Factor -53*y**3 + 38*y**3 + 20*y**2 - 20 + 15*y - 5*y**p + 5*y**2.
-5*(y - 1)**2*(y + 1)*(y + 4)
Let o be ((-15)/27)/(9*(-285)/925748514). Find t, given that 8978*t + 2/3*t**3 + o + 134*t**2 = 0.
-67
Let a = -1037/4 - -260. Suppose -k - p - 37 + 38 = 0, 2*k - 4*p - 14 = 0. Let -3*z**k - 3/2*z - a*z**4 + 0 - 15/4*z**2 = 0. What is z?
-2, -1, 0
Factor 133 - 2259/2*z - 17/2*z**2.
-(z + 133)*(17*z - 2)/2
Let k(v) be the third derivative of v**7/280 + 33*v**6/16 - 663*v**5/80 + 83*v**4/8 + 1409*v**2. Factor k(h).
3*h*(h - 1)**2*(h + 332)/4
Let z be 1*4 - (-55 + 24 - -33). Factor 0 + 2/15*t**3 + 0*t - 2/15*t**4 + 0*t**z.
-2*t**3*(t - 1)/15
Let l(i) be the second derivative of 4*i**2 + 1/8*i**4 + 0*i**3 + 20*i + 1/100*i**5 + 0. Let a(t) be the first derivative of l(t). Factor a(z).
3*z*(z + 5)/5
Let a(d) = -192*d + 522*d - 183*d - 199*d - 110 + 2*d**2. Let s be a(-2). Let s*x**3 + 0 - 2/3*x**2 + 2/3*x**4 - 2*x = 0. What is x?
-3, -1, 0, 1
Let n(w) be the third derivative of -5*w**8/336 - w**7/21 + w**6/6 + w**5/6 - 5*w**4/8 + 490*w**2 + w. Find v, given that n(v) = 0.
-3, -1, 0, 1
Let l(r) be the second derivative of 0*r**2 - 3/5*r**4 + 1/50*r**5 + 0 - 19/15*r**3 + 192*r. Let l(g) = 0. What is g?
-1, 0, 19
Let g = -15336934 + 41010962613/2674. Let m = g - -7/382. Let m*r**2 + 6/7 - 9/7*r = 0. What is r?
1, 2
Suppose -2*y = 3*a + 2, 3*a - 23 = -35. Let g(f) be the first derivative of -4*f + 38 - 5/2*f**4 - 6*f**3 - 2/5*f**y - 7*f**2. Find q, given that g(q) = 0.
-2, -1
Let r(k) be the second derivative of -k**4/9 - 569*k**3/18 + 168*k**2 + 6*k + 85. Factor r(i).
-(i + 144)*(4*i - 7)/3
Let f(g) = -g**2 - 32*g - 190. Let w be f(-24). Let i(u) be the first derivative of -1 + 0*u**w + 5/3*u**3 + 0*u. Factor i(v).
5*v**2
Suppose 4*j + 0 = -20, 5*a = -3*j - 5. Suppose 4*m - 3*y - 15 = 0, a*m - 6*m - 5*y + 7 = 0. Let 0 + 1/7*h - 2/7*h**2 + 1/7*h**m = 0. What is h?
0, 1
Let i(q) = -64*q - 179. Let z be i(-3). Factor 409*v**4 - 139*v**4 + z*v**2 - 69*v**3 + 3*v**5 + 23*v**2 - 116*v**4 - 124*v**4.
3*v**2*(v - 1)**2*(v + 12)
Let x be (-110)/(-4 + (2 - 0)). Let n = x + -53. What is l in 75*l**4 + 90*l**2 + 38*l + 2*l + 20*l - 153*l**n - 12 - 60*l**3 = 0?
-1, 2/5, 1
Let k(x) be the third derivative of x**6/360 + 337*x**5/10 + 340707*x**4/2 + 459273036*x**3 + 2622*x**2. Factor k(q).
(q + 2022)**3/3
Let a(p) be the first derivative of p**4/10 - 22*p**3/15 + 2*p**2 + 7678. Solve a(s) = 0.
0, 1, 10
Suppose -1 = 6*u + 3*q + 11, 59 = 3*u - 5*q. Find z such that 0*z + 3/5*z**2 - 1/5*z**u + 0 = 0.
0, 3
Let v(f) be the second derivative of f**5/55 + f**4/22 - f**2/11 - 74*f - 1. Factor v(m).
2*(m + 1)**2*(2*m - 1)/11
Let i(u) = -113*u + 224. Let k be i(-8). Suppose -k*t + 75 = -1113*t. Find a, given that -32/13*a**2 - 32/13*a + 4/13*a**4 - 2/13*a**t + 16/13*a**3 + 64/13 = 0.
-2, 2
Let c(i) be the first derivative of i**7/1785 + 7*i**6/1020 - i**5/30 + 3*i**4/68 - i**2/2 + 4*i + 38. Let n(o) be the second derivative of c(o). Factor n(r).
2*r*(r - 1)**2*(r + 9)/17
Let k(x) be the second derivative of -1/35*x**5 + 12/7*x**2 + 8/21*x**4 + 2*x - 15 - 26/21*x**3. Suppose k(w) = 0. Calculate w.
1, 6
Let s(t) = 3*t**2 + 21*t - 27. Let m(j) = -4*j**2 - 41*j + 54. Let i be 5/(-20)*(-12)/1. Let r(v) = i*m(v) + 5*s(v). Let r(f) = 0. Calculate f.
3
Suppose -369664 - 640*c - 311*c**2 + 630*c**2 - 320*c**2 - 576*c = 0. Calculate c.
-608
Let c = 879 + -4413/5. Let h = c - -4. Determine t, given that 2/5*t**5 - h - 2/5*t**4 - 4/5*t**3 + 4/5*t**2 + 2/5*t = 0.
-1, 1
Let b = 617 - 615. Suppose -176*o + 9*o + 6*o**b + 21125 - 483*o - o**2 = 0. What is o?
65
Let k = -52321 - -52325. Solve -6 - 5/4*f**k + 33/4*f**3 - 3/2*f**2 - 17*f = 0.
-1, -2/5, 2, 6
Suppose 68921/2 - 132799/2*f + 121/2*f**4 + 2399*f**3 + 29479*f**2 + 1/2*f**5 = 0. Calculate f.
-41, 1
Let 19208 + 34896*h**2 + 1532*h**3 - 4*h**4 + 11*h**4 - 48059*h - 37593*h + 3*h**4 + 6*h**4 = 0. Calculate h.
-49, 1/4, 2
Let u(p) be the third derivative of -19*p**5/120 + 113*p**4/144 + p**3/18 + 411*p**2 + p. Factor u(a).
-(a - 2)*(57*a + 1)/6
Suppose -4*x - 23 = -w, -5*x = -11*w + 9*w + 31. Determine t so that 28*t**w - 6*t**2 - 26*t**2 - 4*t**4 + 12*t**5 + 0*t**3 + 12*t**3 - 16*t**5 = 0.
-4, 0, 1, 2
Factor -6703*g + 414720 + 3823*g + 3*g**2 + 2*g**2.
5*(g - 288)**2
Solve -18 - 33/2*g**2 + 7/6*g**4 - 36*g - 1/6*g**5 + 17/6*g**3 = 0 for g.
-3, -1, 6
Let j(r) be the second derivative of r**3/6 - r**2 - 2*r. Let l be j(4). Factor 6*z + 6*z - 6*z**2 + 11*z**2 - 12 - 8*z**l.
-3*(z - 2)**2
Let t(p) be the first derivative of -1/54*p**4 + 7/54*p**3 - 25 - 2/9*p**2 - 1/180*p**5 + 12*p. Let o(l) be the first derivative of t(l). What is q in o(q) = 0?
-4, 1
Let k be (-2)/7 - 270/(-63). Let o(l) = 2*l + 10. Let r be o(10). Let r*f**3 + 45*f**2 + 0*f**4 - 2*f**4 + 8*f**4 - f**k = 0. Calculate f.
-3, 0
Let f(v) be the first derivative of -119 + 2/57*v**3 + 0*v - 10/19*v**2. Factor f(w).
2*w*(w - 10)/19
Let l be (1*-2)/(1662 + -1663). Factor 2/13 + 114/13*q**l - 116/13*q.
2*(q - 1)*(57*q - 1)/13
Let a(m) be the first derivative of m**5/5 - 2*m**4 - 4*m**3/3 + 16*m**2 - 1298. Suppose a(j) = 0. What is j?
-2, 0, 2, 8
Let w(s) = 55*s**2 - 12725*s + 23475. Let k(g) = -5*g**2 + 1155*g - 2134. Let f(a) = 45*k(a) + 4*w(a). Factor f(c).
-5*(c - 213)*(c - 2)
Suppose 107*k = 222*k. Let q(r) be the first derivative of -2/15*r**5 + k*r + 0*r**4 + 1/27*r**6 - 21 + 8/27*r**3 + 0*r**2. Factor q(v).
2*v**2*(v - 2)**2*(v + 1)/9
Suppose 27*l + 36*l**2 + 4*l**4 + 0 + 18*l**3 + 1/3*l**5 = 0. What is l?
-3, 0
Let d = 1173/310 - -7569/310. Find u such that -273/5*u**3 - 27/5*u**5 - 96/5*u - 12/5 - 243/5*u**2 - d*u**4 = 0.
-2, -1, -2/9
Let b be (-101)/(-2) - ((-15)/6)/5. Suppose v - 33 - b = 4*z, -3*z = 4*v - 374. Factor -17*x + 6 + v + 2*x**2 - 11*x.
2*(x - 7)**2
Let g(o) = -51*o**3 + 39*o**2 - 9*o - 51. Let f(h) = 4*h**3 + h**2 + h. Let k(b) = 12*f(b) + g(b). Factor k(a).
-3*(a - 17)*(a - 1)*(a + 1)
Suppose 4*v + 4*m = -4, v - 3*v + 3*m = -18. What is o in -326*o**v + 30*o**2 + 634*o**3 - 333*o**3 + 5*o**5 - 10*o**4 = 0?
-2, 0, 1, 3
Let w(s) be the first derivative of -s**6/120 + 3*s**5/4 + 4*s**3 - 7*s - 145. Let q(j) be the third derivative of w(j). Factor q(m).
-3*m*(m - 30)
Let l(n) be the third derivative of -n**6/320 - 233*n**5/160 - 463*n**4/64 - 231*n**3/16 - 2*n**2 - 1263*n - 1. Factor l(t).
-3*(t + 1)**2*(t + 231)/8
Let j(b) be the first derivative of 0*b + 4/7*b**2 - 59/14*b**4 - 68 + 54/35*b**5 + 4/3*b**6 + 0*b**3. Determine t so that j(t) = 0.
-2, -1/4, 0, 2/7, 1
Let l = -550871/24 + 22953. Let x(q) be the second derivative of -9/8*q**2 + l*q**4 + 0 - 26*q - 1/120*q**6 - 1/20*q**5 + 1/2*q**3. Find w such that x(w) = 0.
-3, 1
Suppose 3*q = 4*v + 132, 3*q + 2*v + 77 - 209 = 0. Determine k, given that -21*k - 71*k + q*k + 3*k**3 = 0.
-4, 0, 4
Let t(b) = -7*b**3 + b**2 + 6. Let z(k) = 4*k**3 - 3. Let w(l) = 3*t(l) + 5*z(l). Let n(x) be the first derivative of w(x). Let n(p) = 0. Calculate p.
0, 2
Let q be (-12)/(-22) - ((-197498)/6930 + 29). Let z(w) be the first derivative of -8/9*w + 2/9*w**3 + 1/9*w**4