*6/540 + 2*r**5/45 - 5*r**4/12 + r**3 + r**2/2 + 36*r + 1. Let w(i) be the second derivative of k(i). Factor w(p).
-2*(p - 5)*(p - 3)/3
Suppose -55 = -21*k + 50. Suppose 62*t - 3*t**2 + 38*t + 46*t**2 + 7*t**2 - 25*t**3 - 116 - k*t**4 - 4 = 0. Calculate t.
-6, -2, 1, 2
Determine i so that -187 - 38 - 19*i**2 + i**3 - 424*i + 140*i + 208*i + 191*i = 0.
5, 9
Let f = -69255 - -484789/7. Let y be 3 - (-2 + 3) - -1. Factor -2/7*i**y + 8/7*i + f*i**2 - 16/7.
-2*(i - 2)**2*(i + 2)/7
Let u(c) be the first derivative of 20/9*c + 14 - 1/6*c**4 + 7/9*c**2 - 28/27*c**3. What is z in u(z) = 0?
-5, -2/3, 1
Let h(s) be the third derivative of 7*s**6/180 + 10*s**5/9 - 77*s**4/36 - 10*s**3/3 - 1539*s**2. Factor h(m).
2*(m - 1)*(m + 15)*(7*m + 2)/3
Let q be ((-8)/1144)/((-54)/1188). Factor -q*z + 4/13 - 2/13*z**2.
-2*(z - 1)*(z + 2)/13
Factor -4/9*x**2 - 32/3 + 56/9*x.
-4*(x - 12)*(x - 2)/9
Solve 0 + 168/13*q**2 - 18/13*q**4 + 4/13*q**3 + 2/13*q**5 + 144/13*q = 0 for q.
-2, -1, 0, 6
Suppose 1/6*l**5 + 0*l + 0 - 26/3*l**3 + 6*l**2 + 5/2*l**4 = 0. What is l?
-18, 0, 1, 2
Let u(m) be the third derivative of -3*m**8/28 - 64*m**7/15 - 631*m**6/15 + 1664*m**5/15 - 169*m**4/6 - 40*m**2 + 20. Determine t, given that u(t) = 0.
-13, 0, 1/9, 1
Let a(z) = -40*z**2 + 6570*z - 289000. Let d(t) = 5*t**2 - 820*t + 36125. Let c(f) = 3*a(f) + 23*d(f). Factor c(r).
-5*(r - 85)**2
Suppose 15*a = -59 - 31. Let l be (-1)/5*(-1)/a*-3. Determine c, given that -1/10*c**2 + 0 + l*c = 0.
0, 1
Let a be ((48 - 40)/2)/2. Factor -5/2*w**a - w - 1/2*w**4 - 2*w**3 + 0.
-w*(w + 1)**2*(w + 2)/2
Let v(i) = -4*i**2 - 520*i + 1080. Let m(l) = l**3 - l**2 - 1559*l + 3240. Let r(c) = 4*m(c) - 11*v(c). Suppose r(y) = 0. Calculate y.
-18, 3, 5
Let n be 6/(-11) - (24242/(-682) - -33). Determine c, given that 162*c + 18*c**n + 2/3*c**3 + 486 = 0.
-9
Suppose 2268*k = 175*k - 3396 + 9675. Factor -1/2*a**k + 0 + 19*a - 37/2*a**2.
-a*(a - 1)*(a + 38)/2
Let 44*t**4 + 25*t**3 + 11*t**5 + 11*t**3 - 12 - 46*t - 32*t**2 + 4*t**5 - 2*t**5 - 3*t**5 = 0. Calculate t.
-3, -1, -2/5, 1
Let j(c) be the second derivative of -c**5/70 + 127*c**4/42 - 496*c**3/21 + 492*c**2/7 + 4*c + 264. Suppose j(r) = 0. What is r?
2, 123
Let x(d) be the second derivative of -d**4/24 - 19*d**3/3 - 75*d**2/4 + 631*d - 1. Find y such that x(y) = 0.
-75, -1
Let q(x) = 13*x**2 - 948*x - 67. Let r be q(73). Let j(i) be the second derivative of 39*i + 0 + 2/15*i**6 - i**4 + 13/3*i**3 - 3/10*i**5 - r*i**2. Factor j(s).
2*(s - 1)**2*(s + 2)*(2*s - 3)
Let p(z) = -4*z**2 + 5*z**2 - 7*z**2 - z**2 + 39*z. Let v(w) = -100*w**2 + 545*w. Let x(j) = 85*p(j) - 6*v(j). Determine c, given that x(c) = 0.
-9, 0
Let i(b) = 5*b**4 - b**3 + b + 3. Let h(k) = -10*k**4 + 26*k**3 + 60*k**2 - 181*k - 3. Let z(d) = h(d) + i(d). Factor z(w).
-5*w*(w - 6)*(w - 2)*(w + 3)
Let k(a) be the second derivative of a**7/2940 + 4*a**6/315 + a**3/3 + 6*a**2 - 94*a. Let q(h) be the second derivative of k(h). Factor q(n).
2*n**2*(n + 16)/7
Determine s, given that -1/4*s**3 + 11/2*s**2 + 75/2 - 115/4*s = 0.
2, 5, 15
Let f(y) be the second derivative of -3*y**5/20 - 59*y**4/2 + 119*y**3/2 - 3709*y. Factor f(x).
-3*x*(x - 1)*(x + 119)
Let c(f) be the first derivative of -f**4/2 - 226*f**3/3 - 3135*f**2 + 6498*f - 5167. Factor c(a).
-2*(a - 1)*(a + 57)**2
Let t(n) be the third derivative of -n**6/180 - 7*n**5/60 - n**4/2 + 2*n**3 + n**2 - 18. Let b(y) be the first derivative of t(y). Factor b(u).
-2*(u + 1)*(u + 6)
Let u be 2601/27 - 3/9. Let f be u/(-17) - (-59 + 53). Determine d so that 8/17*d - 14/17*d**3 - 8/17 - 10/17*d**4 + 18/17*d**2 + f*d**5 = 0.
-1, 2/3, 1, 2
Let w(o) be the third derivative of -o**7/840 + o**6/32 - 23*o**5/240 - 105*o**4/32 + 27*o**3/2 - 936*o**2. Let w(g) = 0. What is g?
-4, 1, 9
Let b(x) be the third derivative of -1/32*x**4 - 7/16*x**3 + 0 + 1/32*x**5 + 110*x**2 + 0*x. Factor b(r).
3*(r + 1)*(5*r - 7)/8
Let x be (-8*(-21)/441)/((-60)/(-14)). Let b(w) be the third derivative of 0*w + 7/900*w**6 - x*w**3 + 4*w**2 + 0 - 23/450*w**5 + 1/9*w**4. Solve b(u) = 0.
2/7, 1, 2
Let i be (-10)/114*744/(-620). Let x(j) be the first derivative of 9/38*j**4 + i*j**2 + 1/57*j**6 + 0*j + 2/19*j**5 - 5 + 14/57*j**3. What is l in x(l) = 0?
-2, -1, 0
Let d(w) be the second derivative of 0 + 1/4*w**4 + 34*w + 11/2*w**2 + 1/60*w**5 + 0*w**3. Let z(k) be the first derivative of d(k). Factor z(f).
f*(f + 6)
Suppose 5624 = -3*l - 1828. Let x be (-5152)/l - (-4)/(-54). Find p, given that -2/15 + 8/15*p**3 - 6/5*p**x + 4/5*p = 0.
1/4, 1
Let d(u) be the second derivative of u**5/90 - 5*u**4/54 - 14*u**3/27 + 2975*u. Determine r, given that d(r) = 0.
-2, 0, 7
Factor 2/5*o**3 + 5166/5*o + 78*o**2 + 17738/5.
2*(o + 7)**2*(o + 181)/5
Let d(n) = -n**3 - 7*n**2 - 9*n - 10. Let a be d(-6). Suppose -a = 5*b - 18. Determine v so that -2 - 6*v - 5/2*v**b = 0.
-2, -2/5
Determine a so that -170/19*a + 348/19 - 2/19*a**2 = 0.
-87, 2
Let p(r) be the third derivative of -r**8/1008 - r**7/18 - 209*r**6/180 - 152*r**5/15 - 20*r**4 + 1660*r**2 + 2*r. Let p(b) = 0. Calculate b.
-12, -10, -1, 0
Let z(h) be the second derivative of 3/10*h**6 - 1 - 27/2*h**2 + 9/20*h**5 - 39/4*h**3 - 5/2*h**4 + 1/28*h**7 - 2*h. What is j in z(j) = 0?
-3, -1, 2
Let n = 146 - 184. Let c be -1 + (-261)/(-51) + n/323. Determine d, given that 384/7*d - 36/7*d**c - 480/7*d**2 - 64/7 + 32*d**3 = 0.
2/9, 2
Let j be (-43)/(-15) + (-54)/(-405). Factor -13*y**3 + 0*y**3 - 2*y**4 + 20*y**j + 19*y**3.
-2*y**3*(y - 13)
Let g = -38163 + 114524/3. What is q in 16/3*q**2 - g*q + 6 + 1/3*q**3 = 0?
-18, 1
Let n(w) be the third derivative of -1/420*w**7 + 0*w**6 + 0*w + 1/24*w**5 + 0 - 59*w**2 - 1/3*w**3 + 0*w**4. Suppose n(c) = 0. Calculate c.
-2, -1, 1, 2
Let m(r) be the third derivative of 1/120*r**5 + 3/4*r**3 + 0*r + 5/24*r**4 + 52*r**2 + 0. Factor m(z).
(z + 1)*(z + 9)/2
Let y(a) = 3*a**5 - a**4 - a**3 + 1. Let i(l) = 40*l**5 - 68*l**4 - 274*l**3 - 156*l**2 + 262*l + 224. Let w(v) = 2*i(v) - 28*y(v). Solve w(r) = 0 for r.
-21, -5, -1, 1
Let t(j) be the first derivative of -j**6/2 + 9*j**5/5 + 27*j**4/4 + 5*j**3 - 1462. What is z in t(z) = 0?
-1, 0, 5
Let m = 3 + 0. Suppose -n + 53 = 2*w, -m*n = -n + 2*w - 100. Solve 0*j**2 - 4*j**2 - j**2 - 7 + n + 10*j = 0.
-2, 4
Let l(d) = -50*d - 49. Let o be l(-1). Let v(y) = -98*y + 100. Let i be v(o). Let 4/3*p + 4/3 + 1/3*p**i = 0. What is p?
-2
Suppose 0 = -12*f + 557032 - 557008. Solve -1/2*a + 1 - 1/2*a**f = 0 for a.
-2, 1
Let v(b) be the third derivative of 0*b**3 - 1/784*b**8 + 1024/35*b**5 + 24/245*b**7 + 0*b + 1 - 96/35*b**6 + 0*b**4 - 25*b**2. What is k in v(k) = 0?
0, 16
Let z = 9157/36580 + -3/9145. Factor -z*g**3 - 3/4*g**2 + g + 0.
-g*(g - 1)*(g + 4)/4
Find d, given that 155/2*d + 5/4*d**2 - 3195/4 = 0.
-71, 9
Let o be 2/7*(-26 + 9*116/36). Factor 0 - 18/7*k + 10/7*k**3 - 2/7*k**4 - o*k**2.
-2*k*(k - 3)**2*(k + 1)/7
Determine f so that -46/3*f - 44 - 2/9*f**2 = 0.
-66, -3
Let l = 418 + -362. Solve 14*x**3 - 1418*x**4 - 10*x**2 + 2842*x**4 - 1420*x**4 - l*x - 24 = 0 for x.
-3, -2, -1/2, 2
Let q(k) be the first derivative of -4*k**3 + 501*k**2/2 + 126*k - 1803. Determine l so that q(l) = 0.
-1/4, 42
Let p = -24494 + 24497. Let j(c) be the first derivative of -13/4*c**p + 0*c - 1/8*c**2 - 2197/20*c**5 - 41 - 507/16*c**4. Solve j(t) = 0 for t.
-1/13, 0
Let p(x) be the first derivative of x**5/10 - 83*x**4/8 + 160*x**3/3 - 79*x**2 - 4622. Find o such that p(o) = 0.
0, 2, 79
Let d = -654 + 604. Let q = 52 + d. Find i such that -1 - 1/3*i**q + 4/3*i = 0.
1, 3
Let y(x) be the second derivative of -x**6/150 - x**5/100 + 5*x**4/6 - 8*x**3/5 + 1405*x + 2. Let y(i) = 0. What is i?
-8, 0, 1, 6
Let m(y) be the second derivative of -y**4/14 + 416*y**3/63 - 92*y**2/21 + 4352*y. Find w such that m(w) = 0.
2/9, 46
Let r(c) be the second derivative of 2*c**7/147 + 2*c**6/35 - 5*c**5/7 - 25*c**4/7 + 4079*c. Find a such that r(a) = 0.
-5, -3, 0, 5
Let s(z) be the second derivative of -z**6/180 - 149*z**5/60 - 37*z**4/3 - 443*z**3/18 - 295*z**2/12 + 681*z. Factor s(k).
-(k + 1)**3*(k + 295)/6
Let j(v) be the first derivative of v**3/3 + 265*v**2/2 - 266*v + 1783. Let j(i) = 0. What is i?
-266, 1
Let h(r) = -r**2 - 3*r + 2. Suppose -u = d, 0 = -3*d - 0*d - 2*u. Let n be h(d). Factor -n*v - 56*v**2 + 2