639*p**4/20 - 314*p**3/5 - 202*p**2/5 - 8*p - 13106. What is k in m(k) = 0?
-2/3, -10/71
Let j = -7097/15 - -544/3. Let l = j + 293. Factor -l*y**3 - 2/5*y**4 + 0 - 4/5*y**2 + 0*y.
-2*y**2*(y + 1)*(y + 2)/5
Let v(h) = 15*h**3 + 25*h**2 - 25*h - 10. Let j be 8/12 + (-26)/(-6). Let m(r) = -r**3 + 2*r. Let f(y) = j*m(y) - v(y). Let f(x) = 0. Calculate x.
-2, -1/4, 1
Let c(n) be the first derivative of -n**4/14 + 2*n**3/7 + 9*n**2/7 + 10*n/7 + 2598. Factor c(a).
-2*(a - 5)*(a + 1)**2/7
Suppose d = 4*t - 59, 5 = -3*t + 4*t + 3*d. Suppose t = 11*a - 19. Factor 36*h**2 - 76*h**2 - a*h**5 + 40*h**2 + 12*h**4.
-3*h**4*(h - 4)
Let v(y) be the second derivative of -1/10*y**5 - 2/21*y**7 + 0 + 1/12*y**4 + 91*y + 0*y**2 + 0*y**3 - 7/30*y**6. Factor v(n).
-n**2*(n + 1)**2*(4*n - 1)
Let w = -252 + 291. Let -175*q**2 - 5*q**3 - 1615*q - 1357 - 49 - w = 0. What is q?
-17, -1
Let n(w) be the second derivative of -w**7/168 + 2*w**6/15 - 37*w**5/80 - 19*w**4/24 + 41*w**3/6 - 13*w**2 + 3*w - 764. Let n(k) = 0. What is k?
-2, 1, 2, 13
Let k(t) = -84*t**3 - 616*t**2 - 788*t + 272. Let n(l) = 84*l**3 + 613*l**2 + 790*l - 273. Let s(d) = -7*k(d) - 8*n(d). Find g, given that s(g) = 0.
-5, -7/3, 2/7
Let w = 135 - 4. Determine c so that -w*c**2 + 39*c**2 + 50*c**3 + 88*c - 16 - 8*c**4 - 16*c**2 = 0.
1/4, 2
Let b(t) = -9*t + 219. Let i be b(24). Let n(j) be the second derivative of 21*j + 0 + 5/3*j**4 + 8*j**2 - 17/3*j**i - 1/10*j**5. Find v such that n(v) = 0.
1, 8
Let p be (-40)/18 - 144/(-648). Let h be (78/507)/(p/(-26)). Factor h*o + 3/2 + 1/2*o**2.
(o + 1)*(o + 3)/2
Let u(l) be the first derivative of -l**4/108 + l**3/27 - l**2/18 - 65*l + 62. Let m(w) be the first derivative of u(w). Factor m(p).
-(p - 1)**2/9
Let f(y) be the first derivative of -69/14*y**4 + 27/5*y**5 - 27/7*y**3 + 15/7*y**2 + 0*y - 347. Solve f(n) = 0 for n.
-5/9, 0, 2/7, 1
Let b = 14 - -18. Suppose -b = -4*y - 4*c, -4*c - 14 = 5*y - 51. Factor 3 - 10*o**3 + 2*o**4 - 3 - 10*o**2 - 5 - 5*o**y + 13*o**4 + 15*o.
-5*(o - 1)**4*(o + 1)
Let v(u) be the first derivative of -2*u**5/25 + u**4/5 - 2*u**2/5 + 58*u - 28. Let y(p) be the first derivative of v(p). Factor y(i).
-4*(i - 1)**2*(2*i + 1)/5
Solve 3713730 - 220*h**2 + 2*h**5 + 72*h**4 - 144*h - 6*h**3 - 3713730 = 0 for h.
-36, -1, 0, 2
Let k(h) be the first derivative of 16/9*h**3 - 4/3*h + 1/2*h**4 + 47 + h**2. Factor k(o).
2*(o + 1)*(o + 2)*(3*o - 1)/3
Let i(y) be the first derivative of -y**3/9 - 9*y**2/2 - 54*y + 4991. Factor i(g).
-(g + 9)*(g + 18)/3
Suppose 17*a = 26*a - 7056. Let z be 7/(-4)*(-336)/a. What is t in -1/8*t**3 - 13/8*t + z + t**2 = 0?
1, 6
Let n(f) be the first derivative of f**4/16 - 9*f**3/8 - 15*f**2/4 + 118*f + 38. Let y(t) be the first derivative of n(t). Let y(v) = 0. What is v?
-1, 10
Let i(h) = 26*h - 107. Let k be i(4). Let m be (k - -4)*(-3 - (-21)/7). Factor 0*r - 2/15*r**4 + m + 2/15*r**3 + 0*r**2.
-2*r**3*(r - 1)/15
Let n be 2/7 - 1/(21/(-162)). Suppose -11*y + n*y + 30 = 0. Solve -y + 5*f**3 - 50*f - 5 - 25*f**2 + 85*f = 0 for f.
1, 3
Let g(r) = -1030*r**2 + 28420*r + 56615. Let k(s) = 75*s**2 - 2030*s - 4044. Let j(h) = -4*g(h) - 55*k(h). Determine a so that j(a) = 0.
-404, -2
Factor -92*x + 87*x**2 + 192 - 36*x**2 - 53*x**2.
-2*(x - 2)*(x + 48)
Let i(a) be the second derivative of a**7/735 + a**6/210 - a**5/210 - a**4/42 - 13*a**2 + 25*a. Let q(o) be the first derivative of i(o). Factor q(w).
2*w*(w - 1)*(w + 1)*(w + 2)/7
Determine r, given that -693*r**3 - 45*r**5 + 1659*r**4 - 216 - 1443*r**2 + 356*r**3 - 1028*r**3 + 1410*r = 0.
-1, 1/5, 2/3, 1, 36
Let h(u) be the first derivative of 6*u - 3*u**2 - 5/3*u**3 - 1/6*u**4 - 9 + 1/10*u**5. Let j(n) be the first derivative of h(n). What is z in j(z) = 0?
-1, 3
Suppose -3*y + t + 5 = -4, 5 = 5*y - 5*t. Let m be 20/(y - 0) - 3. Find f such that -2/5*f**m - 6/5 - 8/5*f = 0.
-3, -1
Determine n, given that 6276*n - 136 - 25*n**2 - 5906*n + 16 - 15*n**3 = 0.
-6, 1/3, 4
Let u(s) be the second derivative of -s**5/80 - 689*s**4/48 - 39445*s**3/8 + 119025*s**2/8 + 39*s + 33. Factor u(w).
-(w - 1)*(w + 345)**2/4
Let t(n) = 20*n**3 - 148*n**2 - 836*n + 4. Let x(o) = -o**4 - 2*o**3 - o**2 + 2*o + 2. Let v(j) = -2*t(j) + 4*x(j). Find k such that v(k) = 0.
-15, -4, 0, 7
Let a be (0 - 8/(-10)) + (11 - 413/35). Let l(z) be the third derivative of 0 - 25*z**2 - 5/2*z**3 - 1/20*z**5 + 3/4*z**4 + a*z. Factor l(t).
-3*(t - 5)*(t - 1)
Suppose -3*d = 4*w + w + 1, 2*d = -4*w - 2. Suppose -p + d = -4*f, 0 = 4*f + 2*p + 2*p - 12. What is c in -1/4*c**4 - 1/2*c + 3/4*c**2 + 0 + f*c**3 = 0?
-2, 0, 1
Let o(n) be the first derivative of -13 + 34/3*n**3 - n**2 + 0*n. Factor o(i).
2*i*(17*i - 1)
Let r(h) = 8*h**4 - 53*h**3 - 48*h**2 + 48*h. Let n(s) = 33*s**4 - 222*s**3 - 192*s**2 + 192*s. Let k(j) = -5*n(j) + 21*r(j). Factor k(z).
3*z*(z - 4)*(z - 1)*(z + 4)
Let u(v) be the second derivative of 4/17*v**2 + 0 + 5/102*v**4 - 7/170*v**5 + 16/51*v**3 + 6*v. Let u(f) = 0. What is f?
-1, -2/7, 2
Let f(a) = -6*a**2 - 12*a + 13. Let w be f(1). Let c(h) = -h**3 - 6*h**2 - 14*h - 43. Let u be c(w). Factor -32/11*b + 2/11*b**u + 128/11.
2*(b - 8)**2/11
Let d(k) be the first derivative of -4*k**5/5 + 21*k**4 + 92*k**3/3 - 42*k**2 - 88*k - 60. Determine n, given that d(n) = 0.
-1, 1, 22
Let n(i) be the first derivative of -i**5/45 + 5*i**4/4 - 40*i**3/27 - 10*i**2 + 176*i/9 - 6502. Find k, given that n(k) = 0.
-2, 1, 2, 44
Let m be (66/(-88))/((-17)/((-10608)/(-90))). Suppose -67/5*a - m - a**2 = 0. Calculate a.
-13, -2/5
Let a(c) be the second derivative of -c**5/5 + 67*c**4/6 - 608*c**3/3 + 768*c**2 - 6*c - 14. Factor a(v).
-2*(v - 16)**2*(2*v - 3)
Let h(a) = 2*a**2 - 423*a - 759. Let m(z) = -6*z**2 + 1260*z + 2278. Let r(v) = -14*h(v) - 5*m(v). Factor r(y).
2*(y - 191)*(y + 2)
Let o(h) = -271*h - 65. Let b be o(1). Let f = b - -384. Find j, given that -f*j**2 - 1/3 + 8*j = 0.
1/12
Let a(c) = 27*c**5 + 357*c**4 - 223*c**3 + 39*c**2. Let p(g) = -9*g**5 - 120*g**4 + 74*g**3 - 13*g**2. Let w(d) = -3*a(d) - 8*p(d). Find n such that w(n) = 0.
-13, 0, 1/3
Factor -2*m**3 + 7*m**3 + 623*m**2 + 16*m - 83*m**2 - 16*m.
5*m**2*(m + 108)
Let s(g) = -6*g**3 + 285*g**2 - 741*g + 492. Let u(t) = 11*t**3 - 560*t**2 + 1483*t - 984. Let k(y) = -5*s(y) - 3*u(y). Find m such that k(m) = 0.
1, 2, 82
Let f be 11/1 - 18395/283*(-2)/(-14). Factor f*r - 15/7*r**2 + 36/7.
-3*(r - 2)*(5*r + 6)/7
Let h be (-6)/9 - 284674/(-78). Determine w so that 423*w + 145*w - 5*w**2 - 222 - 108*w - h - 6709 = 0.
46
Let l(s) be the second derivative of 2 - 8*s + 9/5*s**5 + 6*s**4 - 8/3*s**3 - 48*s**2 + 2/15*s**6. Factor l(k).
4*(k - 1)*(k + 2)**2*(k + 6)
Let v = 71590 - 286349/4. Factor 0 + 3/4*w - w**3 - v*w**2.
-w*(w + 3)*(4*w - 1)/4
Let t(x) = x**2 + 22*x + 119. Let a be t(-13). Suppose -5*d**2 + d**2 - 37*d + 3*d**2 + 2*d**a = 0. Calculate d.
0, 37
Let d(c) be the first derivative of -c**5/5 - 17*c**4/4 - 62. Let d(w) = 0. What is w?
-17, 0
Factor 2/11*c**2 - 312/11 + 40/11*c.
2*(c - 6)*(c + 26)/11
Let k(o) = o**3 + 24*o**2 - 2*o - 45. Let h be k(-24). Find w, given that -20*w**h + 10*w**4 + 20*w**2 + 18*w + 35*w**5 + 2 - 28*w - 37*w**5 = 0.
1
Let m = 677 + -433. Let d = m - 167. Factor -30*z - 93*z - 50*z**3 + 165*z**2 - d*z + 5*z**4 + 80.
5*(z - 4)**2*(z - 1)**2
Suppose 3*y + 6*y = 12*y. Let c(f) be the third derivative of -1/24*f**4 + 0*f + 12*f**2 + 1/120*f**5 - 1/4*f**3 + y. Factor c(q).
(q - 3)*(q + 1)/2
Find u, given that -1340 + 5*u**2 - 1356 + 2707 + 34*u - 2*u**2 = 0.
-11, -1/3
Factor -1546*r**3 - 31897 - 134*r**3 - 220*r**4 - 5*r**5 + 30847 - 3355*r - 3770*r**2.
-5*(r + 1)**3*(r + 6)*(r + 35)
Let t be (113 + -111)/((-1)/(-2))*1. Factor 0 + 2/3*y**t + 0*y + 4/9*y**3 + 0*y**2.
2*y**3*(3*y + 2)/9
Let p(n) = 75*n**2 - 153*n - 309. Let l(v) be the second derivative of 11*v**4/12 - 11*v**3/3 - 22*v**2 - v + 90. Let o(u) = 27*l(u) - 4*p(u). Factor o(g).
-3*(g - 8)*(g + 2)
Let a(w) = w**2 - 1. Let x(b) = -b**3 - 6*b**2 + b + 6. Let h = 329 - 349. Let n(d) = h*a(d) - 4*x(d). Factor n(y).
4*(y - 1)*(y + 1)**2
Factor -6813*g + 4*g**4 + 12426*g - 6373*g + 376*g**3 - 388*g**2.
4*g*(g - 2)*(g + 1)*(g + 95)
Suppose 11 = 2*g - 21. Suppose g + 0 = -4*m. Let v(o) = -3*o**2 + 2*o + 1. Let u(l) = -l**2 + 1. Let r(t) = m*u(t) + v(t). Factor r(y).
(y -