2*n**4 + 1/40*n**6 + 0. Solve z(d) = 0.
-2
Let q(o) be the first derivative of 4*o**5/5 + 61*o**4 - 340*o**3 + 646*o**2 - 520*o + 7087. Let q(j) = 0. What is j?
-65, 1, 2
Suppose -5*j = 5*d - 490, -2*j - d + 166 = -5*d. Suppose 94*u - 33 + j*u - 217*u + 3*u**2 = 0. Calculate u.
-1, 11
Suppose r = 2*j + 9, j = 5*r - 0*r - 27. Let c = 5 - r. Find m such that -1 + c*m + 9 - 3*m**2 + 4*m - m**2 = 0.
-1, 2
Let t be (4 - 8)/(-60) + (12 - ((-104368)/1155 + 6)). Factor 729/7 - 53/7*o**2 + 1/7*o**3 + t*o.
(o - 27)**2*(o + 1)/7
Let y be 19 - 25/((-450)/(-344)) - 25/(-9). Factor -y + 3*h**3 + 44/3*h - 38/3*h**2.
(h - 2)**2*(9*h - 2)/3
Factor 273*t**3 + 15*t + 25*t**4 + 33*t**2 - 252*t**3 - 22*t**4.
3*t*(t + 1)**2*(t + 5)
Factor 7/2 + 143/4*u**2 - 1003/4*u.
(u - 7)*(143*u - 2)/4
Let y = -1764 - -1767. Let z(d) be the second derivative of -1/25*d**5 - 1/30*d**y + 0 - 1/15*d**4 + 0*d**2 - 3*d. Factor z(r).
-r*(2*r + 1)**2/5
Let v(a) be the second derivative of 1/80*a**5 + 3/8*a**2 - 1/24*a**3 - 118*a - 1/16*a**4 + 1. Factor v(w).
(w - 3)*(w - 1)*(w + 1)/4
Let s(h) be the first derivative of 14*h**5/15 + 22*h**4 + 214*h**3/9 - 6*h**2 + 2364. Determine o so that s(o) = 0.
-18, -1, 0, 1/7
Let t = -16 - -112. Suppose -t = -o - 23*o. Let 1/4*s + 0 - 1/2*s**o + 3/4*s**5 + 1/2*s**2 - s**3 = 0. Calculate s.
-1, -1/3, 0, 1
Solve 4014/11*m + 2006/11 + 4/11*m**2 = 0 for m.
-1003, -1/2
Let i be 4/4 + (5 + 2 - -2). Suppose i*y + 2 = 11*y. Let -6 - 5*h + 19*h - 2*h**2 - y*h**3 - 4*h = 0. What is h?
-3, 1
Factor -473 + 3*u**2 + 79496*u - 517 - 79439*u.
3*(u - 11)*(u + 30)
Let u(o) be the first derivative of -o**6/10 - 136*o**5/25 - 35*o**4/4 + 46*o**3/15 + 44*o**2/5 - 3046. Find t such that u(t) = 0.
-44, -1, 0, 2/3
Let z(p) be the third derivative of -p**6/120 - 373*p**5/60 - 4180*p**4/3 + 126350*p**3/3 - 599*p**2. Solve z(f) = 0 for f.
-190, 7
Let q = 347 - 337. Solve 55 + 2*p**2 - 6*p - 12 - q + p**2 + 42*p = 0 for p.
-11, -1
Find q such that 192/5*q + 0 + 3/5*q**3 + 102/5*q**2 = 0.
-32, -2, 0
Let v(o) be the second derivative of o**5/5 + o**4/2 - 8*o**3/3 + 3*o**2 + 7*o + 4. Find w such that v(w) = 0.
-3, 1/2, 1
Let -4*q**2 - 31348*q - 57600 + 15289*q + 15099*q = 0. Calculate q.
-120
Suppose -84 = -3*w - 6*r, -34*w + 30*w + r = -4. Suppose 1/4*c**2 + 1/4*c**5 + 0 + 1/2*c - 3/4*c**3 - 1/4*c**w = 0. Calculate c.
-1, 0, 1, 2
Let y(j) be the second derivative of 4*j**7/483 + 3*j**6/115 - 5*j**5/46 - 6*j**4/23 + 12*j**3/23 + 5362*j. Find f such that y(f) = 0.
-3, -2, 0, 3/4, 2
Let k(d) = 5*d**5 - 3*d**4 - 5*d**3 - 5*d**2 + 68*d + 8. Let n(s) = s**5 - 2*s**4 - s**3 + 17*s + 2. Let u(z) = k(z) - 4*n(z). Factor u(f).
f**2*(f - 1)*(f + 1)*(f + 5)
Let d(k) be the second derivative of 26 + 1/3*k**3 + 13*k**2 - 13/6*k**4 + 5*k - 1/10*k**5. What is a in d(a) = 0?
-13, -1, 1
Suppose -6881*p**4 - 48372*p**2 - 10487 - 722*p**5 - 17278*p**3 - 22310*p**3 - 1175*p**4 - 37080*p + 10162*p**3 - 313 = 0. Calculate p.
-6, -30/19, -1
Let c = 484128/7 - 69159. Suppose -33/7*t**3 + 0*t - 3/7*t**5 - c*t**2 - 3*t**4 + 0 = 0. What is t?
-5, -1, 0
Let i(m) be the first derivative of 4*m**3/3 + 56*m**2 + 460*m - 408. Factor i(p).
4*(p + 5)*(p + 23)
Let x(b) = 181*b - 178. Let j be x(1). Suppose -37*l = -38*l + j. Suppose 36/7*z**4 - 24/7 + 75/7*z**3 - 66/7*z**2 - 108/7*z - l*z**5 = 0. What is z?
-1, -2/7, 2
Let w(d) = -d**2 + 9*d - 5. Let j be w(8). Let b be j + 1 - 0/((-4)/2). Factor 1602 + 10*x**3 - 1602 - 15*x**2 + 5*x**b.
5*x**2*(x - 1)*(x + 3)
Let o(k) be the first derivative of 41 + 1/15*k**3 + 3/10*k**2 + 2/5*k. Find d such that o(d) = 0.
-2, -1
Let g = -57330 + 57334. Solve -2/9*p**5 - 26/9*p - 2/3 - g*p**3 - 44/9*p**2 - 14/9*p**4 = 0.
-3, -1
Let u(y) be the second derivative of -y**5/420 + y**4/24 + 3*y**3/7 + 109*y**2/2 + 60*y. Let h(o) be the first derivative of u(o). Factor h(d).
-(d - 9)*(d + 2)/7
Let f(t) = 3*t**4 - 356*t**3 + 11287*t**2 - 20882*t. Let o(h) = -3*h**4 + 355*h**3 - 11321*h**2 + 20881*h. Let c(q) = 5*f(q) + 4*o(q). What is y in c(y) = 0?
0, 2, 59
Factor 3195/4 + 5/4*t**2 + 270*t.
5*(t + 3)*(t + 213)/4
Let t = 47613 + -238059/5. Factor -t*r**4 - 4/5*r - 16/5*r**3 + 0 - 14/5*r**2.
-2*r*(r + 1)**2*(3*r + 2)/5
Let x = 63395 - 63394. Determine r, given that -x + 9/8*r - 1/8*r**2 = 0.
1, 8
Suppose 4*r - 21 = -5*c, 12*r - 13*r + 14 = 3*c. Factor c - 88*j + 405*j**2 - 19*j**2 + 114*j**2 + 25*j - 37*j.
5*(10*j - 1)**2
Factor 10/7*l**2 + 8*l + 64/7.
2*(l + 4)*(5*l + 8)/7
Let w be (-2)/(-5) + ((-980)/(-50) - 0 - -8). Let m(z) be the second derivative of 0*z**3 - 1/5*z**5 + w*z - 1/12*z**4 + 0*z**2 + 0. Find v such that m(v) = 0.
-1/4, 0
Let d(p) be the second derivative of -p**6/33 + 91*p**5/110 - 53*p**4/11 + 340*p**3/33 - 56*p**2/11 + 13*p + 84. What is k in d(k) = 0?
1/5, 2, 14
Let t(z) be the first derivative of -z**3/6 + 57*z**2/2 - 545*z/2 - 2165. Solve t(y) = 0.
5, 109
Suppose 105*t - 117*t - 96 = 0. Let z(i) = 17*i**2 + 1188*i + 39196. Let m(w) = 11*w**2 + 792*w + 26131. Let x(s) = t*m(s) + 5*z(s). Factor x(y).
-3*(y + 66)**2
Let i(j) = 235*j**2 - 4*j - 1. Let v be i(-1). Suppose v = 6*f + 58. Let -5*m**3 + 23*m + f*m**2 + 29*m - 97*m = 0. Calculate m.
0, 3
Let y(o) be the third derivative of 0*o + 2 + 1/5*o**3 + 3/40*o**4 + 1/100*o**5 + 8*o**2. Find t, given that y(t) = 0.
-2, -1
Let v(z) = -z**2 + 41*z. Let c(q) = -4*q**2 + 164*q. Let j(b) = 6*c(b) - 23*v(b). Let j(a) = 0. Calculate a.
0, 41
Let v(b) = 17*b - 74. Let k be v(6). Factor 3*m**4 + 36*m**2 + k*m**2 - 13*m**2 + 0*m**4 + 9*m - 24*m**3 - 39*m.
3*m*(m - 5)*(m - 2)*(m - 1)
Let b(l) be the third derivative of 0*l + 21/32*l**4 + 6*l**2 - 1/480*l**6 + 1/8*l**5 + 4/3*l**3 + 0. Suppose b(p) = 0. Calculate p.
-1, 32
Suppose 16*n - 14*n = -3*m + 1, -3*n + 6 = 0. Let w be 6*(5/585)/(m/(-3)). Solve 4/13*o - w*o**2 - 2/13 = 0 for o.
1
Let m = -643 + 631. Let n be -9 + (-140)/m - 0. Find b such that -16/3*b**2 + 8/3*b**4 + 4/3*b + n + 4/3*b**5 - 8/3*b**3 = 0.
-2, -1, 1
Let c be ((-1680)/25620)/((-4)/122). Factor 4*t**2 - 13/3*t**3 - 4/3*t + 0 + c*t**4 - 1/3*t**5.
-t*(t - 2)**2*(t - 1)**2/3
Let b(r) = -2*r**2 + 17*r + 120. Let o be b(13). Factor -3*t**2 - 6*t**2 + 13*t**2 + 17*t**o - 27*t + 3*t + 4*t**4 - t**3.
4*t*(t - 1)*(t + 2)*(t + 3)
Let q(m) = -4*m - 52. Let b be q(-13). Factor -2*u**2 + b*u**2 - 7*u**2 - 7 + 8*u + u**2 + 7*u**2.
-(u - 7)*(u - 1)
Let g(k) = -k**2 + 12*k - 26. Let a be g(5). Let t be (6/(-45))/(a/(-45)). Determine q so that -2*q + 4/3*q**3 + t*q**5 + 4/3*q**2 + 2/3 - 2*q**4 = 0.
-1, 1
Let -2/17*u**3 + 288/17*u - 50/17*u**2 - 360/17 = 0. What is u?
-30, 2, 3
Suppose -3*u - 4*y - 9572 = 0, -4*u - 4*y - 5221 = 7543. Let f be (0 + (-7)/4)*456/u. Let -8*s - f*s**3 - 8 - 5/2*s**2 = 0. Calculate s.
-4, -2
Let l = -2069 + 2072. Let x(z) be the second derivative of -7*z + 1/18*z**l + 1/270*z**6 + 0*z**2 + 0 - 1/60*z**5 - 1/108*z**4. Solve x(t) = 0 for t.
-1, 0, 1, 3
Let t be 579/378 - 1352/42588. Find i such that 15/4 + t*i - 21/4*i**2 = 0.
-5/7, 1
Let r(s) be the third derivative of s**6/24 - 107*s**5/12 - 1105*s**4/24 + 545*s**3/2 + 161*s**2. Determine c so that r(c) = 0.
-3, 1, 109
Let d(r) be the second derivative of -r**5/120 + 7*r**4/36 + 17*r**3/9 + 6*r**2 + 99*r + 5. Suppose d(y) = 0. Calculate y.
-2, 18
Let u(z) = 179*z**2 - 10*z + 204 + 123 + 170 - 30 + 10*z**3 - 639*z**2. Let f(t) = 5*t**3 - 230*t**2 - 5*t + 233. Let n(j) = 7*f(j) - 3*u(j). Factor n(l).
5*(l - 46)*(l - 1)*(l + 1)
Let c = 41 + -41. Suppose 4*f - 12 + 0 = c. Factor -5*m**4 - 77*m**2 + 60*m - 70 + 50 + 30*m**f + 12*m**2.
-5*(m - 2)**2*(m - 1)**2
Factor 65675250*w + 2*w**2 - 5*w**2 - 65670633*w.
-3*w*(w - 1539)
Let p = 181434 - 181431. Factor 1/2*s**4 + 3/2*s**p + 0 + s**2 + 0*s.
s**2*(s + 1)*(s + 2)/2
Let n be (-6 - 6) + ((-156)/(-819))/(8/510). What is f in -n*f**2 + 1/7*f**4 + 15/7*f**3 + 0 - 15/7*f = 0?
-15, -1, 0, 1
Let q(p) = -49*p - 94. Let d = 362 + -364. Let y be q(d). Suppose -16/5*k**3 - 2/5*k - 7/5*k**y - 11/5*k**2 + 0 = 0. Calculate k.
-1, -2/7, 0
Let p = 18/12307 + 147558/86149. Determine r, given that -2/7*r**2 - 16/7 + p*r = 0.
2, 4
Let k(h) be the first derivative of -5*h**4/12 + 5*h**2/2 - 24*h - 12. Let r(a) be the first derivative of k(a). Determine c so that r(c) = 0.
-1, 1
Let h = 61 + -54. Suppose -61 + 166 = h*f.