.
2*(i + 1)*(i + 6)/9
Let l = -74200 + 74202. Solve 486 + 54*m + 3/2*m**l = 0 for m.
-18
Let s(w) be the third derivative of w**8/1176 - w**7/735 - w**6/42 - 4*w**5/105 + 1212*w**2. Determine v, given that s(v) = 0.
-2, -1, 0, 4
Solve 486*s**4 + 0 + 2/3*s + 450*s**3 - 106/3*s**2 = 0.
-1, 0, 1/27
Factor -27*m**2 + 164/3 + 28*m - 1/3*m**3.
-(m - 2)*(m + 1)*(m + 82)/3
Let s(v) be the second derivative of -1/189*v**7 - 1/27*v**4 - 1/9*v**2 + 0 + 1/9*v**3 + 1/45*v**6 - 1/45*v**5 + 42*v. Factor s(b).
-2*(b - 1)**4*(b + 1)/9
Let i(l) be the first derivative of l**5/20 - 45*l**4/16 - 99*l**3/4 - 455*l**2/8 - 51*l - 3130. Suppose i(u) = 0. What is u?
-4, -1, 51
Determine i so that 36 - 3*i**4 + 42*i - 1088164*i**3 + 27*i**2 + 27*i + 1088155*i**3 = 0.
-4, -1, 3
Factor 16 - 5*k + 53*k - 30*k**4 + 25*k**4 - 12*k**3 + 16*k**2.
-(k - 2)*(k + 2)**2*(5*k + 2)
Let l(j) be the second derivative of -2*j**6/135 - j**5/9 + 127*j**4/9 - 1486*j**3/27 + 736*j**2/9 - 678*j - 1. Find a, given that l(a) = 0.
-23, 1, 16
Let m(w) be the second derivative of 4*w**7/21 + 2*w**6/15 - 17*w**5/5 + 14*w**4/3 - 10*w. What is c in m(c) = 0?
-7/2, 0, 1, 2
Let r(f) = -117*f**3 - 4*f**2 - 8*f - 2. Let g be r(-2). Let q = g + -4667/5. Let -18/5*k**2 + 0*k**3 + 24/5*k - 9/5 + q*k**4 = 0. Calculate k.
-3, 1
Let h(p) = -15*p**2 + 15*p + 48. Let d be 4 + (-8)/4*32/4. Let l(q) = q**2 - q - 1. Let k(b) = d*l(b) - h(b). Solve k(a) = 0 for a.
-3, 4
Let z(n) be the second derivative of n**7/4200 + 11*n**6/1200 + 3*n**5/20 - 3*n**4/4 - n**3/6 + 108*n. Let f(w) be the third derivative of z(w). Factor f(g).
3*(g + 5)*(g + 6)/5
Let s = 75/46 + 20/23. Let u(k) be the first derivative of -3*k - 4 - 1/4*k**4 - 1/3*k**3 + s*k**2. Factor u(j).
-(j - 1)**2*(j + 3)
Let i(c) be the first derivative of -2*c**5 + 19*c**4/3 + 8*c**3/3 - 8*c**2 + 78*c - 47. Let k(p) be the first derivative of i(p). Find t, given that k(t) = 0.
-1/2, 2/5, 2
Let q(k) = 2*k**3 + 2618*k**2 + 5237*k + 2622. Let p(i) = 4*i**3 + 2*i**2 - i + 2. Let u(n) = -2*p(n) + 2*q(n). Let u(f) = 0. What is f?
-1, 1310
Let p(b) = b**2 + 10*b + 11. Let y be p(-1). What is s in 2*s**2 - 282 - 34*s - 7 - 3*s**y = 0?
-17
Let k = 1506 + -979. What is q in 5*q**4 + 15*q**2 + 268*q**5 - 25*q**3 + 264*q**5 - k*q**5 = 0?
-3, 0, 1
Let y = 71 + 63. Let o = 146 - y. What is n in 17*n**3 + 14*n**5 + o*n**3 - 213*n**4 + 49*n**5 + 31*n**3 + 36*n**2 = 0?
-2/7, 0, 2/3, 3
Let o(d) = 37*d + 8. Let g be o(0). Let v be -1 + g + (-3854)/574. Factor 6/7*b**2 - 6/7 + v*b**3 - 2/7*b.
2*(b - 1)*(b + 1)*(b + 3)/7
Suppose 5*f = -j - 1 + 16, -5*j - 33 = -2*f. Let o be (f + -2)*(-2)/(-1). Suppose -19*q**2 + 49 - q - 13 - o*q**3 - q**2 - 11*q = 0. Calculate q.
-3, 1
Suppose 10251/2*z**2 + 11675889*z + 3/4*z**3 + 8865891714 = 0. What is z?
-2278
Let m(s) be the second derivative of -s**7/4200 + s**6/360 - s**3/3 - 11*s**2 - 88*s. Let g(x) be the second derivative of m(x). Solve g(n) = 0.
0, 5
Let v(l) be the third derivative of l**6/840 + l**5/14 - 3*l**4/8 - 11*l**3 - l**2 - 16. Let h(g) be the first derivative of v(g). Factor h(p).
3*(p - 1)*(p + 21)/7
Let g(w) be the third derivative of 0 + 0*w**3 - 1/8*w**4 - 1/80*w**6 + 21*w**2 - 3/40*w**5 - 4*w. Solve g(k) = 0.
-2, -1, 0
Let f(k) be the second derivative of 25/42*k**4 + 4/7*k**2 - 7*k - 16/21*k**3 + 1/15*k**6 - 19/70*k**5 + 8 - 1/147*k**7. Suppose f(s) = 0. Calculate s.
1, 2
Let p be 6/52*1313/606. Find v such that 1587/4*v + 69/4*v**4 - 12167/4 - 793/2*v**3 + 6049/2*v**2 - p*v**5 = 0.
-1, 1, 23
Suppose 2*p = 4*k + p - 150, k = 5*p + 47. Let m = k - 35. Factor 12*c**m + 14*c**3 + 0*c**2 - 2*c**3 + 16*c - 4*c**4 - 44*c - 24.
-4*(c - 3)*(c - 2)*(c + 1)**2
Let g(l) = 9*l**2 - 2429*l - 4320. Let u(d) = 6*d**2 - 1633*d - 2880. Let k(i) = 5*g(i) - 7*u(i). Let k(m) = 0. What is m?
-2, 240
Let m be (-2)/4*-2 - (4 + -5). Factor -53*i**m - 337 + 37 + 30*i**2 + i**3 + 160*i.
(i - 10)**2*(i - 3)
Let a(v) be the first derivative of 3*v**4/20 + 2*v**3/5 - 87*v**2/10 - 18*v + 8703. Determine r so that a(r) = 0.
-6, -1, 5
Let s(c) = 575 + 111 - 892*c - 8*c**3 - 132*c**2 + 334. Let x(h) = -7*h**3 - 130*h**2 - 893*h + 1021. Let k(p) = -3*s(p) + 4*x(p). Find l such that k(l) = 0.
-16, 1
Let p(c) be the first derivative of -2*c**3/27 - 524*c**2/9 + 350*c/3 - 10077. Find k such that p(k) = 0.
-525, 1
Let s(x) be the third derivative of -5 + 1/48*x**3 + 0*x - 1/96*x**4 + 1/480*x**5 - 13*x**2. Factor s(g).
(g - 1)**2/8
Factor 0 - 2/5*h**3 - 164/5*h - 86/5*h**2.
-2*h*(h + 2)*(h + 41)/5
Let t(g) = -4*g**2 + 1. Let m(i) = 7*i**2 + 102*i + 101. Let c(l) = -3*m(l) - 6*t(l). Suppose c(u) = 0. Calculate u.
-1, 103
Suppose 6253 - 6198 = 11*d. Let y(b) be the first derivative of -b**d + 0*b**2 + 18 + 0*b - 5/3*b**3 + 5/2*b**4. Suppose y(o) = 0. What is o?
0, 1
Let b(q) be the second derivative of 0 - 30*q + 1/42*q**7 + 16/3*q**4 + 1/3*q**6 + 37/20*q**5 + 8*q**2 + 26/3*q**3. Find i, given that b(i) = 0.
-4, -2, -1
Let o(g) be the third derivative of 1/180*g**6 + 64*g**2 + 2/9*g**4 - 7/90*g**5 + 1/1260*g**7 + 0*g**3 + 0 + 0*g. Factor o(b).
b*(b - 2)**2*(b + 8)/6
Find o, given that -64/3 + 32*o - 4/3*o**4 - 4/3*o**2 - 8*o**3 = 0.
-4, 1
Suppose 736/5 - 364/5*b - 74*b**2 - 2/5*b**3 = 0. What is b?
-184, -2, 1
Let u(d) be the second derivative of -d**4/36 - 23*d**3/18 + 35*d**2 + 4*d - 229. Suppose u(j) = 0. Calculate j.
-30, 7
Let a(y) be the first derivative of -1/6*y**4 + 8 + 0*y - 1/15*y**5 + 4/3*y**3 + 1/2*y**2. Let u(z) be the second derivative of a(z). Solve u(r) = 0 for r.
-2, 1
Let v(m) = -39*m**3 - 504*m**2 + 10629*m + 141142. Let g(q) = 7*q**3 + 101*q**2 - 2126*q - 28228. Let l(n) = -11*g(n) - 2*v(n). Solve l(w) = 0 for w.
-9, 56
Let m(v) be the third derivative of -v**5/75 - 29*v**4/15 - 22*v**3 + 10*v**2 + 8*v. Factor m(t).
-4*(t + 3)*(t + 55)/5
Let t(z) be the first derivative of z**5/24 + 25*z**4/48 - 5*z**3/2 - 45*z**2 + 83. Let q(o) be the second derivative of t(o). Factor q(d).
5*(d - 1)*(d + 6)/2
Suppose -8*d + 252 = 132. Suppose -6*n = -3*n + d*n. Suppose n + 9/8*u**2 - 3/8*u - 3/4*u**3 = 0. Calculate u.
0, 1/2, 1
Let d(h) = 11*h + 276. Let t be d(-15). Let u be (-74)/t*3/(-5). Let 24/5*p - 26/5*p**2 - u*p**4 + 12/5*p**3 - 8/5 = 0. Calculate p.
1, 2
Let p(a) be the third derivative of -a**7/1260 + 7*a**6/720 + a**5/36 - a**4/9 + 7*a**2. Determine h so that p(h) = 0.
-2, 0, 1, 8
Let r = -55 + 40. Let x = r - -20. Determine z so that 2*z**3 + 4*z + 3*z**2 + x*z**2 + 2*z**3 = 0.
-1, 0
Let l(f) be the first derivative of -5/16*f**2 + 0*f - 1/32*f**4 - 70 - 1/4*f**3. Suppose l(r) = 0. Calculate r.
-5, -1, 0
Factor -178/13*s + 0 - 2/13*s**2.
-2*s*(s + 89)/13
Let i be 14200/7810 + (-4)/(-22). Factor -1/4*a**i - 6*a + 25/4.
-(a - 1)*(a + 25)/4
Let f(k) be the third derivative of 5*k**8/336 + 151*k**7/42 + 740*k**6/3 + 1369*k**5 - 11*k**2 + 7*k + 2. Factor f(z).
5*z**2*(z + 3)*(z + 74)**2
Let v(p) be the second derivative of -p**5/140 - 3*p**4/28 + 27*p**3/14 + 39*p**2/2 + p + 15. Let o(n) be the first derivative of v(n). Factor o(j).
-3*(j - 3)*(j + 9)/7
Let d(g) be the first derivative of -1/15*g**3 + g - 19 - 2/5*g**2. What is v in d(v) = 0?
-5, 1
Let c = -17309/6 + 225053/78. Factor 0*o - 4/13*o**2 + 14/13*o**5 + 0 + 24/13*o**4 + c*o**3.
2*o**2*(o + 1)**2*(7*o - 2)/13
Let m(l) be the first derivative of -l**4/2 + 416*l**3/3 - 412*l**2 + 1607. Factor m(v).
-2*v*(v - 206)*(v - 2)
Let j(y) = -6*y**2 - 9*y + 426. Let n(v) = -5*v**2 - 8*v + 427. Let w(o) = -2*j(o) + 3*n(o). Factor w(h).
-3*(h - 11)*(h + 13)
What is i in -2*i**2 + 12/13*i + 0 + 4/13*i**4 + 2/13*i**3 = 0?
-3, 0, 1/2, 2
Let n = 580/17 - 4623/136. Let g(q) be the second derivative of -n*q**4 + 0 - 1/2*q**3 - 9*q - 3/4*q**2. Determine f, given that g(f) = 0.
-1
Suppose 64*f**3 - 216*f - 60*f + 58*f**3 - 209*f**2 - 126*f**3 - 136 + 65*f**2 = 0. What is f?
-34, -1
Determine v, given that 4/7*v**2 + 96/7*v - 580/7 = 0.
-29, 5
Let k(l) be the second derivative of -l**8/2240 + l**6/160 + l**5/80 - 28*l**3/3 + 12*l. Let w(v) be the second derivative of k(v). Find u such that w(u) = 0.
-1, 0, 2
Let h = 46 + -42. Suppose 2*v = -h*v + 30. What is g in 6*g**3 - 7*g**5 + 4*g**v - 2*g - g = 0?
-1, 0, 1
Let p be ((-24)/10 - -3)*10/3. Suppose -179*c**2 + 177*c**2 - c + p*c**3 + 8 - 7*c = 0. Wha