e the first derivative of 5*q**6/3 + 2224*q**5/5 - 4061*q**4/2 + 3176*q**3/3 + 1356*q**2 + 11245. Let w(x) = 0. What is x?
-226, -2/5, 0, 1, 3
Let v(z) be the first derivative of -z**4/12 - 230*z**3/9 + 77*z**2/2 - 4239. Factor v(s).
-s*(s - 1)*(s + 231)/3
Let r(m) be the first derivative of m**5 + 145*m**4/2 + 1685*m**3/3 - 36540*m**2 + 317520*m + 2020. Determine g so that r(g) = 0.
-36, 7
Let q be ((-405)/(-75) - 6 - 36/(-90))*(-10 + -2). Factor -32/5*h + 0*h**3 - 24/5*h**2 + 4/5*h**4 - q.
4*(h - 3)*(h + 1)**3/5
Factor -202/11*u**2 + 624/11*u + 0 - 2/11*u**3.
-2*u*(u - 3)*(u + 104)/11
Let b(p) = -4*p**2 + 408*p + 10396. Let u(q) = -q**2 - 1. Suppose -24 = 3*h - 0. Let j(t) = h*u(t) + b(t). Solve j(c) = 0 for c.
-51
Let t(y) be the third derivative of 17*y**2 + 1/3*y**4 - 2*y + 0 + 4/3*y**3 + 1/30*y**5. Factor t(n).
2*(n + 2)**2
Let w = 304 - 291. Determine o, given that 20*o**2 + 28*o**3 - w*o**2 + 18*o - 26*o**3 - 19*o**2 = 0.
0, 3
Let b be -13 - -2 - (5 - 20). Let n(g) be the second derivative of 0 - 48*g**2 + 8/3*g**3 - 1/18*g**b + 26*g. Factor n(u).
-2*(u - 12)**2/3
Let y(a) = 3*a**2 - 2*a - 11. Let q(h) = -8*h**2 + 4*h + 32. Let w = 603 + -608. Let b(x) = w*q(x) - 14*y(x). Factor b(c).
-2*(c - 3)*(c - 1)
Suppose 3*r - 4*w = 32, 28 = -4*r + 3*w + 59. Let m(u) be the third derivative of 1/40*u**5 + 0*u + 0 + 0*u**3 + 1/16*u**r - 21*u**2. Find i such that m(i) = 0.
-1, 0
Let a(b) be the third derivative of b**6/540 + 1381*b**5/270 - 2013*b**2. Suppose a(o) = 0. Calculate o.
-1381, 0
Let m = 106223 - 106220. Let 361/8*k**2 + 25/2 + 163/8*k**m + 40*k + 1/8*k**5 + 23/8*k**4 = 0. Calculate k.
-10, -1
Let k(j) be the second derivative of -j**10/7200 - j**9/2800 - j**8/5600 + 11*j**4/4 + 67*j. Let q(n) be the third derivative of k(n). Solve q(t) = 0.
-1, -2/7, 0
Suppose 20 = -6*l + l, -3*f - 5*l + 340 = 0. Suppose -15*m + f = -3*m. Factor -7*d**2 - 9*d + 4*d**2 - m + 18 + 4.
-3*(d - 1)*(d + 4)
Suppose 0 = -3*u + 2*w + 3*w - 9, 4*u - 20 = -4*w. Let b = -1018806/5 - -203762. Factor 26/5*h - b + 6*h**u.
2*(h + 1)*(15*h - 2)/5
Let p(g) = -g**3 - 37*g**2 - 82*g - 44. Let w be p(-1). Determine l so that -28/5*l + 98/5 + 2/5*l**w = 0.
7
What is p in -4083/2*p + 87 - 141/2*p**2 = 0?
-29, 2/47
Find p, given that 57/5*p + 54/5 + 3/5*p**2 = 0.
-18, -1
Suppose -5*v = -2*h + 5, -h + 5*v = 2*h - 5. Suppose 4*o - 9*o + 4*u + 14 = h, 4*o - 5 = -3*u. Suppose 6/5*l**o + 2/5*l**3 - 6/5 - 2/5*l = 0. What is l?
-3, -1, 1
Let b(c) be the first derivative of -1/6*c**4 + 8*c - 99 + 4/3*c**2 - 2/3*c**3. Find t such that b(t) = 0.
-3, -2, 2
Suppose 16*x = 32*x - 48. Let h(u) be the second derivative of -1/4*u**4 + u + 0 + 9/100*u**5 - 1/10*u**2 + 7/30*u**x. Let h(b) = 0. Calculate b.
1/3, 1
Let h(n) = 2*n**3 - 35*n**2 + 70*n - 37. Let q(y) = 4*y**3 - 69*y**2 + 140*y - 75. Let r(z) = -7*h(z) + 3*q(z). Factor r(i).
-2*(i - 17)*(i - 1)**2
Let f(j) = -6124*j + 24498. Let b be f(4). Factor 384*q + 208/5*q**b - 16*q**3 + 2304/5 + 4/5*q**4.
4*(q - 12)**2*(q + 2)**2/5
Let i(v) be the first derivative of v**6/2 + v**5 - 65*v**4/12 + 5*v**3 - 92*v - 102. Let h(f) be the first derivative of i(f). Factor h(z).
5*z*(z - 1)*(z + 3)*(3*z - 2)
Determine l, given that -4*l**2 - 591*l + 18*l + 3*l**2 - 49*l + 314*l = 0.
-308, 0
Let h(t) be the first derivative of -1/4*t**3 - 80 + 75/4*t - 9*t**2. What is a in h(a) = 0?
-25, 1
Let u(h) be the first derivative of h**4/8 - 15*h**3/8 - 3*h**2 - 42*h + 121. Let x(s) be the first derivative of u(s). Solve x(z) = 0.
-1/2, 8
Let -27/4*q**3 - 1/2*q**4 - 22*q**2 + 27/2 - 57/4*q = 0. Calculate q.
-9, -3, -2, 1/2
Let r(b) = 2*b**4 - 8*b**3 - 10*b**2 + 11*b. Let h(f) = -f**4 + 4*f**3 + 5*f**2 - 6*f. Let i = -102 - -113. Let u(x) = i*h(x) + 6*r(x). Factor u(d).
d**2*(d - 5)*(d + 1)
Let b(s) be the first derivative of 3*s**5/5 - 3*s**4/4 - 26*s**3 + 126*s**2 - 216*s - 1736. Factor b(h).
3*(h - 3)*(h - 2)**2*(h + 6)
Let o(h) be the second derivative of 22/9*h**3 + 2*h + 0*h**2 - 1/30*h**5 - 7/6*h**4 + 56. Factor o(j).
-2*j*(j - 1)*(j + 22)/3
Let i(d) = -d. Let y(w) = -w**2 + 39*w + 390. Let h(z) = 5*i(z) + y(z). Let q be h(43). Let 1/5*m + 0 - 1/10*m**q - 1/10*m**2 = 0. What is m?
-2, 0, 1
Let n(t) be the second derivative of 2*t**6/5 - 2*t**5/5 - 7*t**4/3 - 4*t**3/3 - 1571*t. Suppose n(l) = 0. Calculate l.
-1, -1/3, 0, 2
Let l = 125/612 + -19/204. Let h(p) be the second derivative of -l*p**2 + 1/45*p**6 - 1/27*p**4 + 1/45*p**5 + 0 - 1/9*p**3 + 1/189*p**7 - 13*p. Factor h(q).
2*(q - 1)*(q + 1)**4/9
Let l be (909/(-12))/((-39)/260). Suppose -477 = 14*z - l. Factor -8/5*s + 4/5*s**3 + 0 + 4/5*s**z.
4*s*(s - 1)*(s + 2)/5
Factor -106*o**2 - 363/2 - 1/2*o**4 - 13*o**3 - 275*o.
-(o + 1)*(o + 3)*(o + 11)**2/2
Let q(w) = w**3 + w + 1. Let i(a) = -2*a**3 - 60*a**2 - 138*a - 74. Let o(b) = i(b) + 6*q(b). What is n in o(n) = 0?
-1, 17
Factor 0*l - 1/4*l**4 + 0 - 45/4*l**2 - 23/2*l**3.
-l**2*(l + 1)*(l + 45)/4
Let h = -798 - -808. Let t be (3813/(-18))/31 + (h - 3). What is v in 0 - t*v**2 + 1/6*v = 0?
0, 1
Let y be 378/35*(-755)/(-1208). Factor -y*b - 33/2 + 3/4*b**2.
3*(b - 11)*(b + 2)/4
Let z(a) = -a**2 - 5*a - 4. Let o be z(-3). Let t(f) = -9*f - 196. Let l be t(-22). Factor 3*w**o + 4*w**l - 6*w + 12*w - 4*w**2.
3*w*(w + 2)
Suppose -5*n = -3*n - 3*r + 8, -5*n + 2*r + 2 = 0. Factor -6*w**n + 5*w**2 - 8*w**3 - 5*w**2 + 23*w**3 - 9*w**4.
-3*w**2*(w - 1)*(3*w - 2)
Solve -2/17*i**2 + 3596/17*i - 1616402/17 = 0 for i.
899
What is c in -14*c**3 + 3888/5 + 2/15*c**4 + 5688/5*c + 5188/15*c**2 = 0?
-2, -1, 54
Let k(a) be the third derivative of -34/45*a**3 + 1/450*a**5 + 1/12*a**4 + 0 + 172*a**2 + 0*a. Solve k(z) = 0 for z.
-17, 2
Let f be (136/16 - ((-99)/18 + 4)) + -6. Solve -6/13*s**f + 8/13*s**2 - 32/13*s + 16/13*s**3 + 0 = 0.
-4/3, 0, 2
Let v(k) be the first derivative of -86 - 34/5*k**2 - 578/5*k - 2/15*k**3. Let v(x) = 0. What is x?
-17
Let c(i) be the second derivative of 363/20*i**4 + 1/150*i**6 + 0*i**3 + 61*i + 0*i**2 + 0 + 33/50*i**5. What is a in c(a) = 0?
-33, 0
Let w(s) be the first derivative of 75 + 196/3*s + 14/3*s**2 + 1/9*s**3. Factor w(q).
(q + 14)**2/3
Let f(w) be the first derivative of w**4/5 - 46*w**3/15 + 28*w**2/5 + 8*w - 1936. Let f(d) = 0. Calculate d.
-1/2, 2, 10
Let d(w) be the third derivative of -w**5/5 - 43*w**4/3 - 112*w**3/3 - 807*w**2. Let d(n) = 0. What is n?
-28, -2/3
Suppose 73*g + 5*g = 264*g. Find v such that 60/7*v + 2/7*v**5 - 38/7*v**3 + 2/7*v**4 + 22/7*v**2 + g = 0.
-5, -1, 0, 2, 3
Determine k, given that -195*k - 4*k**2 - 344 + 9*k**2 + 516 + 198 = 0.
2, 37
Let x(b) be the second derivative of 5*b**7/42 + 2*b**6 + 21*b**5/4 - 245*b**4/6 - 2*b + 105. Solve x(j) = 0 for j.
-7, 0, 2
Let h(z) = 5*z**2 - 190*z - 12237. Let d be h(72). What is m in 0 + d*m + 3/4*m**5 - 9/4*m**3 + 3*m**2 - 3/2*m**4 = 0?
-1, 0, 2
Let w(m) be the first derivative of -26 + 1/4*m**4 - 3/2*m**3 + 3*m**2 - 14*m. Let t(l) be the first derivative of w(l). Find p, given that t(p) = 0.
1, 2
Let m(h) be the third derivative of h**5/20 + 153*h**4/8 + 76*h**3 - 2*h**2 + 789*h. Find u such that m(u) = 0.
-152, -1
Find r, given that -1548/5*r**2 - 201/5*r**3 - 6*r**5 + 2223/5*r**4 + 0 - 444/5*r = 0.
-1/2, -2/5, 0, 1, 74
Let y(c) = c**2 - c - 12. Suppose 4*q + 22 = 2*h, 5*q - 8*q = 2*h - 1. Let d be y(q). Factor 4/5*r**4 + 0*r**3 + d - 4/5*r**2 + 0*r.
4*r**2*(r - 1)*(r + 1)/5
Let v(p) be the first derivative of 7/6*p**3 - 5/16*p**4 + 0*p - 135 - 1/20*p**5 + 0*p**2. What is n in v(n) = 0?
-7, 0, 2
Let u be 3/((-62)/(-28) - 2). Let s(j) = 190*j - 546. Let o be s(3). Factor -u*r**2 + 34*r**2 + o*r - 72 - 22*r**2.
-2*(r - 6)**2
Solve 54 + 2/13*b**2 + 240/13*b = 0.
-117, -3
Let f(s) be the third derivative of -s**5/120 - 13*s**4/48 + 33*s**3/2 - 72*s**2. Factor f(z).
-(z - 9)*(z + 22)/2
Suppose 35*d - 36*d + 93 = 4*h, -147 = -2*d + 5*h. Suppose 83*t = d*t. Factor 8/7*s**2 + 8/7*s + 2/7*s**3 + t.
2*s*(s + 2)**2/7
Suppose 18/7 + 24/7*s - 10/7*s**2 = 0. What is s?
-3/5, 3
Let u = -429 - -432. Factor -17*t**4 - 4*t**4 - 12*t**2 - 23*t**4 + 54*t**3 - 10*t**3 + 12*t**u.
-4*t**2*(t - 1)*(11*t - 3)
Suppose 0 = -z + 2*w, 10*w - 6 = 7*w. Let r(j) be the first derivative of -1/6*j**6 - 2/5*j**5 + 2/3*j**3 + 0*j + 16 + 0*j**z + 1/2*j**2. Factor r(u).
-u*(u - 1)*(u + 1)**3
Let