c**2/2 + 8*c + 127. Let g(r) = -r**3 + r**2. Let k(l) = -3*g(l) - j(l). Factor k(h).
(h + 1)*(h + 8)*(4*h - 1)
Let l(m) be the first derivative of 5*m**4/4 - 190*m**3/3 + 1375*m**2/2 - 2030*m + 4989. Determine f so that l(f) = 0.
2, 7, 29
Suppose -55 = -2*b - 5*h, -872*h + 868*h = -28. Factor -b*k + 2/5*k**2 + 48/5.
2*(k - 24)*(k - 1)/5
Let h be (2/(-24)*30)/(25/(-20)). Let i(t) be the second derivative of t + 5/6*t**3 + 0 + 1/12*t**4 - 3*t**h. What is c in i(c) = 0?
-6, 1
Let d be -40 - 1 - 54766/(-788). Let -3*r**2 + d - 111/2*r = 0. What is r?
-19, 1/2
Let 10609/2 + 1/4*c**3 + 11021/4*c + 52*c**2 = 0. What is c?
-103, -2
Suppose 17*t = -7*t + 13032. Let v = t + -541. Factor 0*b + 3/5*b**3 + 0*b**v + 0.
3*b**3/5
Let j(k) be the first derivative of 110 + 5/6*k**3 - 1/8*k**4 + 0*k - k**2. Let j(v) = 0. What is v?
0, 1, 4
Let n(d) = 15*d**4 + 8*d**3 - 37*d**2 - 182*d + 252. Let t(x) = 2*x**4 - x**2 + 6*x + 1. Let c(y) = -3*n(y) + 21*t(y). Determine o so that c(o) = 0.
-7, 1, 5
Solve 87*k - 1445 + 141*k - 4*k**2 + 1221 = 0 for k.
1, 56
Let d = -235 + 238. Factor d*i**3 - 14 - 15*i**4 - 66*i + 4*i**5 + 18 + 51*i**2 - i**5 + 20.
3*(i - 4)*(i - 1)**3*(i + 2)
Let b(i) be the first derivative of -i**2/2 - i + 24. Let v(r) = -r**2 - 2*r - 1. Let k(c) = -30*b(c) - 5*v(c). Factor k(l).
5*(l + 1)*(l + 7)
Factor -2/3*t**3 + 0 + 166/3*t - 164/3*t**2.
-2*t*(t - 1)*(t + 83)/3
Let g(a) be the second derivative of -2*a**7/21 - 4*a**6/15 + a**5/5 + 2*a**4/3 - 467*a. Determine b, given that g(b) = 0.
-2, -1, 0, 1
Suppose -95/2 - 51/4*i**2 - 257/4*i + 17/4*i**3 + 1/4*i**4 = 0. Calculate i.
-19, -2, -1, 5
Let p(s) = s - 12. Let c be p(0). Let b = 15 + c. Find n such that 17*n**2 + 4*n - 3 + 33*n**3 + b*n**4 - n + 9*n**4 + 10*n**2 = 0.
-1, 1/4
Factor 160/19 + 2/19*g**2 - 36/19*g.
2*(g - 10)*(g - 8)/19
Let x(c) be the second derivative of -c**8/3360 - c**7/252 + c**6/45 + 4*c**5/5 + 13*c**4/12 + 54*c. Let a(l) be the third derivative of x(l). Factor a(u).
-2*(u - 3)*(u + 4)**2
Suppose -3*s = -2*b + 29, 2*s - 3*s - 33 = -3*b. Factor -981*r + 480*r + b*r**2 + 487*r + 4.
2*(r - 1)*(5*r - 2)
Let a be (1 + 0)/((-4)/(-16)). Find g such that 15*g**4 + 21*g**4 - 8*g - 10*g**3 + 16*g**2 - 34*g**a = 0.
0, 1, 2
Solve -110/9*j**5 + 52/3*j**4 - 16/3*j**2 + 10/9*j**3 - 8/9*j + 0 = 0 for j.
-2/5, -2/11, 0, 1
What is l in 274/5*l + 0 - 272/5*l**2 - 2/5*l**3 = 0?
-137, 0, 1
Let n(t) = 6*t**3 + 324*t**2 + 1278*t + 1251. Let k(g) = -7*g**3 - 323*g**2 - 1280*g - 1248. Let h(y) = -3*k(y) - 4*n(y). Factor h(b).
-3*(b + 2)**2*(b + 105)
Factor -3338*b - 6012*b - 3*b**4 - 14*b**3 - 2*b**4 + 202*b**3 - 38*b**3 + 30345 - 660*b**2.
-5*(b - 17)**2*(b - 3)*(b + 7)
Let j(g) = -191*g**3 - 195*g**2 + 1009*g. Let r(w) = 69*w**3 + 65*w**2 - 336*w. Let b(i) = -4*j(i) - 11*r(i). Let b(t) = 0. Calculate t.
-17, 0, 4
Let w be ((-3)/5)/(((-3054)/(-30))/(-1)). Let r = 6093/2545 + w. Factor 16/5 + 2/5*c**2 - r*c.
2*(c - 4)*(c - 2)/5
Let f(o) be the second derivative of o**6/135 + 13*o**5/90 + 29*o**4/27 + 4*o**3 + 8*o**2 - 895*o. Factor f(i).
2*(i + 2)**2*(i + 3)*(i + 6)/9
Let y(t) be the first derivative of -t**3/9 + 35*t**2/3 - 247*t + 1557. Let y(g) = 0. What is g?
13, 57
Let b(p) be the first derivative of -2*p**7/315 + 13*p**6/540 - p**5/135 + 48*p**2 + 154. Let l(k) be the second derivative of b(k). Factor l(g).
-2*g**2*(g - 2)*(6*g - 1)/9
Let y(x) be the second derivative of x**3/3 + 15*x**2/2 + 21*x. Let v be y(-6). Let -6*j - 3 - v - 3*j**2 + 6 + 9 = 0. What is j?
-3, 1
Let -75*h + 2*h**3 + 0 - 599/2*h**2 = 0. What is h?
-1/4, 0, 150
Suppose -9 + 7 = 2*c + 3*h, -4*h = 5*c - 2. Factor 28*i**3 + 31*i**3 - 650*i**c + 17*i**3 + 33*i**3 + 645*i - 180 + 16*i**3.
5*(i - 4)*(5*i - 3)**2
Determine k, given that -29205536/3 - 115240/3*k**3 - 7755344/3*k**2 - 1/3*k**5 - 586/3*k**4 - 29657168/3*k = 0.
-194, -2
Let l(x) be the third derivative of -x**8/2016 - 2*x**7/45 - 121*x**6/120 + 203*x**5/45 - 841*x**4/144 - 303*x**2. Factor l(u).
-u*(u - 1)**2*(u + 29)**2/6
Let c = -7661 + 7661. Let l(w) be the third derivative of 0*w + 1/40*w**6 + 0*w**3 + 1/140*w**7 + 0*w**4 + c*w**5 + 0 + w**2. Factor l(s).
3*s**3*(s + 2)/2
Suppose 597 = 686*y - 775. Factor 4/3 + 1/6*i**3 + i**y - 5/2*i.
(i - 1)**2*(i + 8)/6
Let z(d) be the second derivative of d**6/50 - 61*d**5/100 + 19*d**4/15 - 3*d - 64. Factor z(k).
k**2*(k - 19)*(3*k - 4)/5
Suppose 4*s + 3*w = 8*s, 4*w = 5*s + 1. Factor 22*a + 22*a + 26*a + 6*a**2 + s*a**3 - 67*a.
3*a*(a + 1)**2
Let w(x) be the first derivative of -4*x**3/15 + 346*x**2/5 - 1368*x/5 - 1838. Solve w(b) = 0 for b.
2, 171
Let p(a) = -a**2 + 3*a + 74. Let m be p(8). Determine o, given that 72 + 74*o + 124*o + 104*o - 118*o**2 + m*o + 10*o**3 = 0.
-1/5, 6
Let b(n) be the first derivative of n**4/2 - 448*n**3/3 - 908*n**2 - 1824*n + 2751. Factor b(o).
2*(o - 228)*(o + 2)**2
Suppose -346*v + 306*v + 120 = 0. Let b(t) be the second derivative of -31*t + 0*t**v + 0*t**2 - 2/3*t**4 + 1/5*t**5 + 0. Find d such that b(d) = 0.
0, 2
Let k = -19 + 79. Suppose 0 = -3*i - 2*i + k. Find t, given that -22*t + i + 2 + 10 + 4*t**2 - 6*t = 0.
1, 6
What is u in -7*u**2 + 221/4*u + 1/4*u**3 - 169/2 = 0?
2, 13
Let r(c) be the first derivative of -80/21*c**3 + 4/7*c**2 + 117/14*c**4 - 162/35*c**5 + 34 + 0*c. Factor r(p).
-2*p*(p - 1)*(9*p - 2)**2/7
Let p(q) = -q**2 - 33*q - 356. Let g(b) = -b**2 - 34*b - 357. Let j be (4 + -7 - -5)*5/(-2). Let d(n) = j*g(n) + 4*p(n). Determine a so that d(a) = 0.
-19
Let h be (196/35 - 5)*(-244)/(-366). What is s in 10 - 4*s + h*s**2 = 0?
5
Let z(c) = -c**2 - 4*c + 2. Let i be z(-4). Let v be i/(32/12 + -2). Factor -d**v + 3*d**3 - 2*d**3 - d**3 + d.
-d*(d - 1)*(d + 1)
Suppose 31*x = 28*x - 441. Let f be -3 + (-448)/x + (-2)/(-7). Suppose f + s + s**2 + 1/3*s**3 = 0. Calculate s.
-1
Let h(u) be the first derivative of 0*u - 115/4*u**4 - 10/3*u**3 + 0*u**2 + 25*u**5 - 190. Factor h(t).
5*t**2*(t - 1)*(25*t + 2)
Let u(c) be the first derivative of -c**4/24 + c**3/6 + 25*c**2/3 - 50*c - 1699. Factor u(o).
-(o - 10)*(o - 3)*(o + 10)/6
Let f(c) be the second derivative of -3/20*c**5 + 0*c**2 - 12*c**4 + 0*c**3 + 0 - 198*c. Factor f(l).
-3*l**2*(l + 48)
Let x = -1945 - -15563/8. Let a(k) be the third derivative of 0*k + 0 + x*k**4 + k**3 + 1/20*k**5 + 8*k**2. Factor a(s).
3*(s + 1)*(s + 2)
Let r(m) = 2*m**3 + 38*m**2 + 958*m + 868. Let d(l) = l**3 + 39*l**2 + 953*l + 870. Let z(a) = -6*d(a) + 5*r(a). Factor z(j).
4*(j - 22)*(j + 1)*(j + 10)
Let t(w) be the first derivative of 93 - 2/5*w**2 - 1/3*w**3 + 1/20*w**4 + 4*w. Factor t(d).
(d - 5)*(d - 2)*(d + 2)/5
Let t(a) = -a**2 + 324*a + 319. Let y(p) = -2*p**2 + 651*p + 640. Let b(s) = 13*t(s) - 6*y(s). Factor b(i).
-(i - 307)*(i + 1)
Let i = 419/1945 - 6/389. Let p(f) be the third derivative of i*f**4 - 17*f**2 - 4/15*f**3 + 0*f + 7/150*f**5 + 0. Factor p(l).
2*(l + 2)*(7*l - 2)/5
What is c in 21*c**4 - 1/7*c**5 + 0 - 145/7*c**3 - 21*c**2 + 146/7*c = 0?
-1, 0, 1, 146
Let q(c) be the third derivative of -c**7/525 + c**6/150 - c**4/30 + c**3/15 - 28*c**2 - 17*c + 2. Factor q(w).
-2*(w - 1)**3*(w + 1)/5
Let p be 309/3*1/1. Suppose 2*j + 48 = x, 2*x - 3*j + 3 = p. Factor -o - x*o + 9*o**2 + 24*o + 18.
3*(o - 3)*(3*o - 2)
Let n(h) be the first derivative of -4*h**5/35 - 16*h**4/7 - 8*h**3 - 80*h**2/7 - 52*h/7 - 1806. Factor n(f).
-4*(f + 1)**3*(f + 13)/7
Factor -4/3*j**3 - 8*j**2 + 0 - 32/3*j.
-4*j*(j + 2)*(j + 4)/3
Let x(p) = -p**3 + 36*p**2 + 117*p + 27. Let t be x(39). Let z = 7 - 4. Find v such that -9*v + 44*v**3 + 0*v + 47*v**z - 94*v**3 + 15*v**2 - t = 0.
-1, 3
Let m(i) be the first derivative of i**4/2 - 2*i**3/3 - 86*i**2 - 528*i + 7228. Factor m(w).
2*(w - 11)*(w + 4)*(w + 6)
Let l be 2/(3 - 23) - 3/(-5). Let a = -20048 - -20050. Factor 3/2 - l*k**a + k.
-(k - 3)*(k + 1)/2
Let u(m) be the first derivative of -m**6/30 - 2*m**5/5 - 3*m**4/2 - 22*m**2 - 63. Let q(w) be the second derivative of u(w). Find k such that q(k) = 0.
-3, 0
Suppose 2*d = -u - 163, -131 = 2*d + 2*u + 35. Let l be (81 + d)*6/2. Let 4/3*m + 20/3*m**2 - 70/3*m**4 - m**l + 49/3*m**5 + 0 = 0. Calculate m.
-2/7, 0, 1
Let z be 6/(-10) + -8 + 4347/495. Suppose -5*i = -3*o - 14, -o = -3*o + 5*i - 16. Factor -z + 4/11*h**o + 0*h - 2/11*h**4 + 0*h**3.
-2*(h - 1)**2*(h + 1)**2/1