erivative of 7*z**3/3 + 21*z**2 - 148*z. Let c be v(-3). Factor 4/5*a**3 + c*a**2 + 0 - 1/5*a**4 + 0*a.
-a**3*(a - 4)/5
Let n(p) = p**3 - 13*p**2 + 13*p - 8. Let c be n(12). Let z = 218 - 218. Factor z + 17/4*a**2 + 4*a**3 - 3/2*a - 7/4*a**c.
-a*(a - 3)*(a + 1)*(7*a - 2)/4
Let p = 16 + 928. Let u be ((-100)/(-350)*1*7)/1. Factor h**4 + p*h**2 + 3*h**3 - 2*h**4 - 940*h**u.
-h**2*(h - 4)*(h + 1)
Let y(m) = 21*m**4 + 605*m**3 + 5328*m**2 + 1296*m. Let h(o) = -10*o**4 - 300*o**3 - 2664*o**2 - 648*o. Let r(z) = 5*h(z) + 2*y(z). Find n such that r(n) = 0.
-18, -1/4, 0
Let c(m) = 46*m**4 - 466*m**3 - 726*m**2 + 644*m - 102. Let g(h) = -h**4 + h**3 + h**2 - 2*h - 1. Let y(a) = -c(a) - 10*g(a). Let y(q) = 0. Calculate q.
-2, 1/3, 14
Let c be 42 - 63 - 216/(-9). Suppose 2/7*o**4 + 0 + 8/7*o + 10/7*o**c + 16/7*o**2 = 0. Calculate o.
-2, -1, 0
Let v(z) be the second derivative of 0*z**3 + 1/2*z**2 - z - 1/12*z**4 - 50. Factor v(i).
-(i - 1)*(i + 1)
Let g(o) be the third derivative of -3/7*o**7 - 1/15*o**5 + 0*o**3 + 67*o - 37/120*o**6 + 2*o**2 + 0 - 27/448*o**8 + 0*o**4. Factor g(d).
-d**2*(d + 4)*(9*d + 2)**2/4
Let q(k) be the first derivative of -k**7/1470 - 19*k**6/420 - 361*k**5/420 - 73*k**2/2 - 57. Let w(p) be the second derivative of q(p). Factor w(c).
-c**2*(c + 19)**2/7
Suppose -4*r = x - 10 + 3, 4*x + r = -17. Let h be 6/30*(-1)/(x/2). Let 2/25*s**2 - 2/25*s**3 - 2/25 + h*s = 0. What is s?
-1, 1
Let j(w) be the second derivative of 0*w**2 - 4/21*w**3 - 2 + 1/70*w**5 + 2/21*w**4 - 1/105*w**6 - 25*w. Factor j(p).
-2*p*(p - 2)*(p - 1)*(p + 2)/7
Let n = 264749 - 1323744/5. Factor -1/5*y**2 + n*y + 0.
-y*(y - 1)/5
Let d(a) be the second derivative of 2/21*a**7 - 11 + 0*a**2 + 4/3*a**4 - 7/15*a**6 + 3/10*a**5 + 4*a - 4/3*a**3. Determine z, given that d(z) = 0.
-1, 0, 1/2, 2
Let o(c) be the second derivative of -329/5*c**4 + 131/25*c**5 - 578/5*c**2 - 2822/15*c**3 + 23 - 8/75*c**6 - c. Find b such that o(b) = 0.
-1, -1/4, 17
Suppose 5*x + 31 - 46 = 0. Suppose 4*s = 4*y, x - 1 = s. Suppose 16*q - 16*q**3 - 6 - 9 - 4*q**4 - 12*q**y + 31 = 0. What is q?
-2, -1, 1
Let o = 120699 - 362096/3. Suppose 0 = -u - 2*u. Factor u + 5/9*a**2 + o*a.
a*(5*a + 3)/9
Let q = -1973 - -1975. Let a(k) be the second derivative of 0 + 1/48*k**4 + k - 1/6*k**3 + 3/8*k**q. Suppose a(o) = 0. Calculate o.
1, 3
Let y = 211 + -213. Let q(s) = -2*s**3 - 53*s**2 - 379*s - 1019. Let n(x) = -x**3 - 26*x**2 - 190*x - 510. Let r(k) = y*q(k) + 5*n(k). Solve r(p) = 0 for p.
-8
Let t be 72/38 + (66/209)/3. Suppose 3*s + 8 = 38. Factor t*l**5 - 15*l**3 + 14*l**2 - 6*l**2 - s*l**4 + 27*l**3 - 16*l.
2*l*(l - 2)**3*(l + 1)
Let l = -64897 - -64899. What is j in 50/3 - 10/3*j + 1/6*j**l = 0?
10
Let n be -25 + 27 + 1*-5. Let o be ((-2)/2)/(n*3/18). Factor 2/13*z**3 - 2/13*z - 8/13*z**o + 8/13.
2*(z - 4)*(z - 1)*(z + 1)/13
What is a in -1355*a**3 + 1840*a**2 + 300*a**4 - 30 - 314*a - 386*a + 110 = 0?
1/4, 4/15, 2
Let q(z) be the first derivative of 13*z**4/4 - 34*z**3 + 70*z**2 + 24*z + 1591. Suppose q(l) = 0. Calculate l.
-2/13, 2, 6
Solve 8/7*r**2 + 60/7*r - 4/7*r**3 - 144/7 = 0 for r.
-4, 3
Let r(b) be the first derivative of 153/16*b**2 + 27/5*b**5 + 27/8*b + 387/32*b**4 + b**6 + 115 + 115/8*b**3. Factor r(z).
3*(z + 1)**3*(4*z + 3)**2/8
Let x = -950 + 950. Let k(o) be the second derivative of -16*o - 9/2*o**2 + x + 1/4*o**4 + o**3. Factor k(c).
3*(c - 1)*(c + 3)
Solve -33 + 1/2*j**3 - 35/2*j + 16*j**2 = 0 for j.
-33, -1, 2
Let v be (-12 - 416/(-13 - 3)) + 553/(-56). Factor -15/4 + v*c - 3/8*c**2.
-3*(c - 10)*(c - 1)/8
Suppose -12*w + 0*w + 60 = 0. Find v, given that v**4 + v - 53882*v**5 - 3*v**3 + v + 4*v**2 + 53883*v**w - 5*v**2 = 0.
-2, -1, 0, 1
Suppose 3*f - 3*y = 0, 4*y = f + 5 + 7. Let q be (-65)/(-39) - ((-5)/(75/20) + 1). What is h in -2/9*h**5 - 2/9*h - 4/9*h**q + 4/9*h**3 + 2/9*h**f + 2/9 = 0?
-1, 1
Suppose 3*p = -x + 5, -2*p - 3*x + 3638 - 3651 = 0. Determine w, given that 9/4*w**3 + 3/4*w**p + 0 + 3/2*w - 3/4*w**5 - 15/4*w**2 = 0.
-2, 0, 1
Find f such that -457/2 - 229*f - 1/2*f**2 = 0.
-457, -1
Suppose u = -3*o + 18, 3*u + 9*o - 11*o + 1 = 0. Suppose -u*l + 40 = 5*l. Determine h, given that 3/2*h**l - 3*h**2 + 0 + 0*h + 15/2*h**3 - 6*h**4 = 0.
0, 1, 2
Factor -3/5*r**3 - 25389/5*r + 111*r**2 - 25947/5.
-3*(r - 93)**2*(r + 1)/5
Suppose 27 = s - 0*s + 4*w, -5*s - w = -59. Solve s*p + 4*p**2 + 15*p - 10*p = 0 for p.
-4, 0
Let p(a) be the second derivative of -a**4/18 - 236*a**3/3 - 707*a**2/3 + 2*a + 455. Suppose p(k) = 0. What is k?
-707, -1
Solve -19*y**2 + 31*y - 266*y**3 + 267*y**3 - 151 + 69*y + 19 = 0 for y.
2, 6, 11
Let 0 - 48/7*j - 20/7*j**2 - 2/7*j**3 = 0. What is j?
-6, -4, 0
Suppose 0*v - 3*n = 3*v - 21, 4*v - 4*n = 12. Find k, given that 21*k**3 - 29 - 3*k**v - 35*k + 5 - k + 6*k**2 = 0.
-2, -1, 2
Factor -37/8*i - 1/8*i**2 + 495/4.
-(i - 18)*(i + 55)/8
Let s(h) = -487*h**2 - 28476*h - 33786774. Let t(q) = 75*q**2 + 4746*q + 5631129. Let r(j) = -6*s(j) - 39*t(j). Factor r(l).
-3*(l + 2373)**2
Let n = -1028 + 92. Let a = 940 + n. Factor 0*c + 0 - 2*c**a - 4/5*c**2 + 22/5*c**3.
-2*c**2*(c - 2)*(5*c - 1)/5
Let o(k) be the first derivative of 2*k**5/15 - 10*k**4 + 1544*k**3/9 + 1280*k**2 + 8192*k/3 + 1829. Factor o(i).
2*(i - 32)**2*(i + 2)**2/3
Let a(r) be the second derivative of r**5/5 - 57*r**4/8 + 7*r**3 - 227*r**2/2 + 2*r + 31. Let i(z) be the first derivative of a(z). Factor i(s).
3*(s - 14)*(4*s - 1)
Let v = 300 - 295. Let x(k) = -80*k + 402. Let w be x(v). Determine y so that -8/9*y - 34/9*y**3 + 0 - 10/9*y**4 - 32/9*y**w = 0.
-2, -1, -2/5, 0
Suppose 2*u + 1 = 5. Let c be 75402/4970 - (-72)/168. Solve -58/5*o + 18/5*o**3 + c*o**2 + u = 0.
-5, 1/3
Let w(z) be the second derivative of -z**7/210 - z**6/40 - z**5/30 - 29*z**2/2 + 27*z. Let h(n) be the first derivative of w(n). Factor h(a).
-a**2*(a + 1)*(a + 2)
Suppose -133 + 23 = -22*p. Factor -2 + p*z - z**2 + 393*z**3 - 394*z**3 - 1.
-(z - 1)**2*(z + 3)
Let w(a) = -570*a - 570. Let r be w(-1). Let u(v) be the third derivative of -8/21*v**3 + 1/21*v**4 + r*v - 1/420*v**6 + 1/105*v**5 + 18*v**2 + 0. Factor u(q).
-2*(q - 2)**2*(q + 2)/7
Let r be 24*14/112*1. Let t(l) be the second derivative of 1/9*l**4 - 13*l + 0*l**2 + 0*l**r + 0 + 1/60*l**5. Factor t(j).
j**2*(j + 4)/3
Let s(i) be the second derivative of i**9/15120 + i**8/1120 + i**7/504 + 37*i**4/4 + 6*i + 9. Let j(m) be the third derivative of s(m). Factor j(n).
n**2*(n + 1)*(n + 5)
Let r(b) be the third derivative of 7*b**5/3 + 425*b**4/24 + 5*b**3/2 + 1184*b**2. Factor r(o).
5*(o + 3)*(28*o + 1)
Let m(d) = -5*d**3 - 344*d**2 + 274*d + 2073. Let b(l) = 4*l**3 + 229*l**2 - 182*l - 1383. Let j(g) = 7*b(g) + 5*m(g). Determine f so that j(f) = 0.
-2, 3, 38
Let s(g) = -g**3 + 9*g**2 + 7. Let y be s(9). Let z = 15 + -8. Let -5 - 2 + y*v + 4 + 5 - z*v**3 - 2*v**2 = 0. What is v?
-1, -2/7, 1
Let c be (-111)/296*(-5032)/333. Factor -c*v + 1/3*v**3 - 5 - 1/3*v**2.
(v - 5)*(v + 1)*(v + 3)/3
Let p(m) = 5*m**2 - m + 3. Let h(y) be the third derivative of 11/60*y**5 + 0 + 7/6*y**3 + 3*y**2 + 0*y - 1/24*y**4. Let u(b) = 3*h(b) - 7*p(b). Factor u(w).
-2*w*(w - 2)
What is w in -1367458 + 164760 - 17725*w**2 - 1077183 - 5*w**3 - 5582699 + 5180*w**2 - 7875120*w = 0?
-1254, -1
Let -2*s**2 - 81 - s**2 + 209*s + 227*s - 543 - 118*s = 0. Calculate s.
2, 104
Suppose -56*v = 153*v. Let j(l) be the first derivative of l**4 - 14/75*l**5 + v*l - 8/5*l**3 - 21 + 8/15*l**2. Factor j(a).
-2*a*(a - 2)**2*(7*a - 2)/15
Let v(h) be the third derivative of h**8/336 + 2*h**7/105 - h**6/24 - h**5/3 + h**4/6 + 8*h**3/3 - 3*h**2 + 74*h - 7. Solve v(g) = 0.
-4, -2, -1, 1, 2
Let o(x) be the first derivative of 146 + 9/28*x**4 + 24/7*x - 27/7*x**2 + x**3. Factor o(a).
3*(a - 1)*(a + 4)*(3*a - 2)/7
Let v(o) be the third derivative of o**5 + 305*o**4/24 + 25*o**3/6 - 10377*o**2. Factor v(y).
5*(y + 5)*(12*y + 1)
Suppose -4*x = 4*y + x + 31, -4*x - 12 = 0. Let m be (((-8)/3)/(-2))/(y/(-12)). Factor -3/4*o**m - 3/8*o**5 - 3/2*o + 3/2*o**2 + 0 + 9/8*o**3.
-3*o*(o - 1)**2*(o + 2)**2/8
Let j(h) be the first derivative of 25*h**4/34 - 3190*h**3/51 + 24624*h**2/17 + 52488*h/17 + 7604. Solve j(b) = 0 for b.
-1, 162/5
Solve 2*q**2 + 179*q - 127*q + q**2 - 64*q - 135 = 0 for q.
-5, 9
Let i(k) be the second derivati