. Find r such that n(r) = 0.
-674, 1
Let s = 1273 - 11456/9. Let g(v) be the first derivative of -1/36*v**4 - 1/9*v**2 - 22 - s*v**3 + 0*v. What is t in g(t) = 0?
-2, -1, 0
Let y(d) be the second derivative of 5/6*d**3 - 2 - 15/2*d**2 + 10*d - 1/4*d**5 + 5/4*d**4. What is k in y(k) = 0?
-1, 1, 3
Let g(m) be the third derivative of -1/6*m**4 - 13/120*m**5 - 1/672*m**8 + 1/420*m**7 + 5*m + 0 + 3/80*m**6 + m**2 + m**3. Determine t, given that g(t) = 0.
-3, -1, 1, 2
Find k, given that -37*k + 288*k + 73*k - 14*k - 5*k**3 + 285*k - 590*k**2 = 0.
-119, 0, 1
Let c(o) be the second derivative of 1/96*o**4 + 2*o - 7 + 7/24*o**3 + 0*o**2. Factor c(i).
i*(i + 14)/8
Let l(u) be the first derivative of u**4/14 + 92*u**3/7 + 536*u**2/7 + 2404. Determine s, given that l(s) = 0.
-134, -4, 0
Let i be (-58)/(-12)*(-120780)/(-79605). Suppose i*o + 19/3*o**2 + 1 = 0. Calculate o.
-1, -3/19
Let r(t) be the third derivative of -1/1008*t**8 + 7/180*t**5 + 0*t**3 - 1/40*t**6 + 21*t**2 + 2*t - 1/36*t**4 + 0 + 1/126*t**7. Solve r(m) = 0 for m.
0, 1, 2
Determine b so that 5*b**2 + 4228*b - 2660 - 2658*b - 2215*b = 0.
-4, 133
Let c be (-9)/((-36)/16)*2. Factor -3*i**2 + 2*i**2 + c*i + 5*i**2 - 2*i**2.
2*i*(i + 4)
Suppose 5*q + 2*u = 3*u + 117, 109 = 5*q + 3*u. Factor q*y - 24 - 16*y - 11*y + 4*y**2.
4*(y - 3)*(y + 2)
Let -8737758 + 76*t**3 - 49*t + 4*t**4 + 8737606 - 12*t**2 - 187*t = 0. Calculate t.
-19, -1, 2
Let v(q) be the third derivative of -q**5/210 + q**4/42 + 80*q**3/21 + 16*q**2 + 17*q. Suppose v(k) = 0. Calculate k.
-8, 10
Let y = 544595 + -544590. Factor -16*v - 1/2*v**3 - 16 - y*v**2.
-(v + 2)*(v + 4)**2/2
Suppose -3 + 6 - 3 = -56*a. Let s(m) be the first derivative of 8/15*m + a*m**2 + 13 - 1/30*m**4 - 2/15*m**3. Factor s(t).
-2*(t - 1)*(t + 2)**2/15
Let m(h) be the first derivative of -4*h**3/21 - 168*h**2 - 7020*h/7 - 5017. Find o such that m(o) = 0.
-585, -3
Let f be (-1*1)/((-24)/1032). Factor -5 - 8*b**2 - 3*b**3 + 4*b**5 + f*b**3 + 28*b**4 - 15 - 44*b + 0*b**5.
4*(b - 1)*(b + 1)**3*(b + 5)
Let y(q) be the first derivative of 134 + 3/8*q**2 + 1/2*q + 1/12*q**3. Factor y(h).
(h + 1)*(h + 2)/4
Let w(q) be the third derivative of q**5/240 - 5*q**4/6 - 41*q**3/6 + 631*q**2. Solve w(s) = 0.
-2, 82
Let v = 184 - -1096. Solve -1245*t + 2590*t + 150 - 5*t**2 - v*t = 0 for t.
-2, 15
Let n = 2/9 - -4/9. Let p(m) be the first derivative of n*m**2 - 1/9*m**4 + 8/9*m + 0*m**3 + 13. Solve p(o) = 0.
-1, 2
Let y(b) be the second derivative of 17*b**5/12 - 265*b**4/24 + 5*b**3 + 31*b**2 + 22*b - 2. Let f(h) be the first derivative of y(h). Factor f(d).
5*(d - 3)*(17*d - 2)
Let s be 5 + (-6 - (0 - 2))/2. Determine c, given that -3 + 7*c**2 + 127*c**4 - c**5 - 9*c**3 + s - 2*c - 122*c**4 = 0.
0, 1, 2
Let n(c) = c + 3. Let j(b) = 4*b**2 + 8400*b - 8436. Let m(p) = j(p) + 8*n(p). Factor m(x).
4*(x - 1)*(x + 2103)
Factor -312575*d**2 + 311969*d**2 - 3*d**3 - 324900 - 14992*d - 18923*d.
-3*(d + 12)*(d + 95)**2
Let t = 480 + -479. Let w be ((2*t)/(-12))/((-20)/30). Factor 1/2 + 1/4*c**3 + w*c**4 - 3/4*c**2 - 1/4*c.
(c - 1)**2*(c + 1)*(c + 2)/4
Suppose 45 = 5*a - 5*i, -4*a - 5*i = -6 - 12. Let v be 2/a + 57/21 + 0. Determine g so that 8*g + 4*g**2 + 0*g**v + 2*g**3 - 6*g = 0.
-1, 0
Let r be (198/264)/(7932/768 + -10). What is g in 2/7 + r*g**5 - 8/7*g**4 - 47/7*g**3 - 19/7*g + 8*g**2 = 0?
-2, 1/4, 1
Let d(v) = 6*v**2 + 68*v + 2. Let l be d(0). What is c in -3 - 27/8*c - 3/8*c**l = 0?
-8, -1
Let u(l) be the first derivative of -9*l**4/20 - 47*l**3/15 - 23*l**2/5 - 8*l/5 + 1764. Let u(x) = 0. Calculate x.
-4, -1, -2/9
Let o(c) be the first derivative of 1/48*c**4 + 0*c + 0*c**3 + 5*c**2 - 1/120*c**5 + 6. Let x(i) be the second derivative of o(i). Factor x(q).
-q*(q - 1)/2
Suppose 50*q - 51*q = -h + 38, -5*h - 2*q + 169 = 0. Let l be (0 + (126/h - 4))*-1. Suppose 0*u + l - 2/5*u**2 = 0. What is u?
-1, 1
Suppose -4*z = -4*u - 16, 2 = 3*z - u - 0. Let h be z/2*6/(-12). Factor -h*c - 1/4*c**2 + 0.
-c*(c + 1)/4
Let y(p) be the first derivative of -p**5/20 - p**4 + 11*p**3/2 + 130*p**2 - 4225*p/4 + 909. Factor y(g).
-(g - 5)**2*(g + 13)**2/4
Let f(r) = -2*r**4 + 10*r**3 + 8*r**2. Let o(l) = -2*l**4 + l**3. Let k = 198 + -199. Let v(m) = k*f(m) + 2*o(m). Find u such that v(u) = 0.
-2, 0
Let i = -793/24 - -809/24. Determine p so that 2/3*p**3 - 4*p + 0 + i*p**2 = 0.
-3, 0, 2
Let a(c) be the second derivative of c**7/168 + c**6/12 + 7*c**5/20 - c**4/6 - 16*c**3/3 - 16*c**2 - 3*c + 274. Find k, given that a(k) = 0.
-4, -2, 2
Let j = -82 + -77. Let b = 796/5 + j. Determine k so that 0*k + 0*k**2 + b*k**4 + 0*k**3 + 0 = 0.
0
Let p = -836 - -771. Let t = p - -139/2. Determine h so that -1/2*h**3 - 27/2*h + t*h**2 + 27/2 = 0.
3
Let m(a) be the first derivative of a**6/120 + a**5/20 - a**4 - 14*a**3/3 + 6. Let q(v) be the third derivative of m(v). Find t, given that q(t) = 0.
-4, 2
Solve 2088/7*f - 162/7*f**2 - 6728/7 = 0.
58/9
Let k(c) be the first derivative of -2/21*c**3 - 10/7*c + 6/7*c**2 + 166. Suppose k(p) = 0. What is p?
1, 5
Suppose -x - 9*g = -4*g - 567, 1125 = 2*x + g. Suppose 5*r + x = 577. Suppose -6/5*m**r + 8/5*m - 24/5*m**2 + 16/5*m**4 + 6/5*m**5 + 0 = 0. Calculate m.
-2, 0, 1/3, 1
Let x be (2 - 1461/11)/(1242/(-552)). Let d = 642/11 - x. Factor d*p**2 - 8/9 + 2/3*p.
2*(p - 1)*(p + 4)/9
Let s be (-2)/(64/(-72)) - 18/72. Let -3/7*i**3 + 1/7*i**s - 1/7*i**5 + 0*i + 0 + 3/7*i**4 = 0. Calculate i.
0, 1
Suppose 3*s - 4 = 74. Suppose -11 - 5*r**2 - 10 + 0*r**3 + r - r**3 + s = 0. What is r?
-5, -1, 1
Let i(m) = 5*m - 35 + 15*m - 59 - 46. Let f be i(7). Factor 32/3*b**5 - 44*b**2 + 194/3*b**3 + 6*b + 176/3*b**4 + f.
2*b*(b + 3)**2*(4*b - 1)**2/3
Let j(m) = m**2 - 70*m + 1224. Let h be j(39). Let g(o) be the second derivative of -17/2*o**3 - 9*o**2 + h*o - 5/4*o**4 + 0. Factor g(v).
-3*(v + 3)*(5*v + 2)
Let p(o) be the second derivative of -o**6/1080 + o**5/60 - o**4/8 - 16*o**3/3 + 3*o + 14. Let t(f) be the second derivative of p(f). Solve t(j) = 0 for j.
3
Let z = 141 + -139. Suppose -5*q - 2*u = -80 - 5, u = 2*q - 25. Find d such that -3*d**2 + q*d + 2*d**2 + 10 + 6*d**z = 0.
-2, -1
Let n(q) be the first derivative of -q**4 - 6476*q**3/3 - 1308960*q**2 + 2624400*q - 1656. Suppose n(w) = 0. Calculate w.
-810, 1
Let o(k) be the third derivative of 0*k + 0 - 1/840*k**6 + 1/105*k**5 + 20*k**2 + 1/168*k**4 - 2/21*k**3. Find j such that o(j) = 0.
-1, 1, 4
Let x(n) = -n + 2. Let o be x(-2). Let u = 2031/7 + -2013/7. Factor 2/7*v + 10/7*v**o - 26/7*v**3 + u*v**2 - 4/7.
2*(v - 1)**3*(5*v + 2)/7
Suppose -59 = -2*c + z, -2*z - 1 = -3*z. Suppose 56 = 58*q - c*q. Solve -1/4 - 1/2*u - 1/4*u**q = 0.
-1
Suppose -4*z - 15 - 1 = 0. Let n(p) = p**2 + 5. Let v be n(z). Determine i, given that -27*i**2 - 6*i - 2*i**3 - v*i**3 + 2*i**3 = 0.
-1, -2/7, 0
Suppose 76*o = 36*o + 40. Let v be (-15)/27 + o - (-266)/171. Factor 8/3*a - 5/3*a**v + 4/3.
-(a - 2)*(5*a + 2)/3
Let o(u) be the second derivative of u**7/126 + u**6/15 + 13*u**5/60 + u**4/3 + 2*u**3/9 + 2164*u. Factor o(t).
t*(t + 1)**2*(t + 2)**2/3
Suppose 14 + 8 = 6*z + 5*n, 0 = -4*n + 8. Suppose 27*y = 31*y + 5*p - 7, y + 5*p + z = 0. Determine t so that -8/3 - 13/3*t**y - 18*t**2 - 20*t = 0.
-2, -2/13
Let k(f) = -f**3 - 9*f**2 + f + 8. Let h be k(-9). Let i be h/(((-4)/12*1)/1). Solve 4*w**i - 2006 - 4*w**2 + 2006 - 8*w = 0.
-1, 0, 2
Factor -189*g**2 + 146*g**3 - 143*g**3 - 703*g - 7203 + 2908*g.
3*(g - 49)*(g - 7)**2
Let i(u) be the first derivative of -u**4/30 - u**3/3 - 82*u - 63. Let m(s) be the first derivative of i(s). Factor m(n).
-2*n*(n + 5)/5
Let w(m) be the second derivative of 2*m**7/21 + 542*m**6/15 - 547*m**5/5 - 271*m**4/3 + 364*m**3 + 4689*m - 3. What is q in w(q) = 0?
-273, -1, 0, 1, 2
Let v = -715963/5 + 143193. Let 0 + 4/5*l - v*l**2 = 0. What is l?
0, 2
Let 0 - 485/2*n**2 + n = 0. Calculate n.
0, 2/485
Let c(t) be the first derivative of -3*t**5/20 + 9*t**4/8 + 38*t**3 + 855*t**2/4 + 1275*t/4 - 992. Suppose c(q) = 0. Calculate q.
-5, -1, 17
Determine c so that c**2 + 1233859 + 1419782 - 2943*c - 305*c - 10*c = 0.
1629
Determine a, given that 989*a**2 + 1161*a - 65*a + 2*a**3 + 386*a**2 - 277*a**2 = 0.
-548, -1, 0
Let z(t) be the first derivative of -162*t**6/5 - 6588*t**5/5 - 277239*t**4/20 + 2074*t**3 - 867*t**2/10 - 1336. F