 + 4*o - 2*o + 3 - h*o.
-(o - 1)*(o + 3)
Factor 219*t**2 + 0 - 1/2*t**4 + 0*t + 437/2*t**3.
-t**2*(t - 438)*(t + 1)/2
Let i(k) be the second derivative of k**4/72 + 25*k**3/36 + 23*k**2/6 - 34*k - 2. Suppose i(v) = 0. Calculate v.
-23, -2
Let u be -2 + (2 - 5) - 1414/(-280). Let y(a) be the third derivative of 0*a**3 - 1/70*a**7 + 0*a + 0*a**4 + u*a**5 + 0*a**6 + 0 + 12*a**2. Factor y(x).
-3*x**2*(x - 1)*(x + 1)
Let w = 10586/25 - 29669/100. Factor -39/2*j**3 + w*j**2 + 0*j + 0 + 3/4*j**4.
3*j**2*(j - 13)**2/4
Let s = -18970/13 + 58571/26. Find o, given that 69*o - s - 3/2*o**2 = 0.
23
Let v(p) = -6185*p - 18555. Let u be v(-3). Factor -2/3*k**3 - 8/3*k**2 - 8/3*k + u.
-2*k*(k + 2)**2/3
Let l(g) = -3*g**2 - 62 + 2*g**2 - 4*g**2 + 10*g**2 - 8*g**2 - 33*g. Let o(u) = -8*u**2 - 98*u - 187. Let v(a) = -7*l(a) + 2*o(a). Factor v(j).
5*(j + 3)*(j + 4)
Let o = 769/2644 - 27/661. Let p be (-66)/(-8) - 14/7. Factor -o*v**2 - p - 5/2*v.
-(v + 5)**2/4
Let n(r) = -10*r**4 - 70*r**3 + 80*r**2. Let s(o) = o**4 + 8*o**3 - 9*o**2. Let c = 171 - 206. Let u(b) = c*s(b) - 4*n(b). Solve u(x) = 0 for x.
-1, 0, 1
Let c be (10 - 7)/((2 - 70/10) + 26). Find x such that -3/7*x**2 + 3/7*x**3 + 1/7*x + 0 - c*x**4 = 0.
0, 1
Factor 9843599 - 16194*p + 2*p**2 + 12010204 + p**2.
3*(p - 2699)**2
Let 570*t + 3*t**4 - 658*t - 7*t**4 + 4*t**2 + 88*t**3 = 0. What is t?
-1, 0, 1, 22
Let 435*z**3 - 5/2*z**4 - 435*z + 1765/2*z**2 - 880 = 0. Calculate z.
-2, -1, 1, 176
Let f(t) = -5*t**3 + 18*t + 17. Let j be f(-1). Suppose -3*p = -5*a - 30, -34*p + 33*p = 3*a + j. Factor 0*c**3 + 0*c**2 + 0 + 4/3*c**4 + 0*c - 4/3*c**p.
-4*c**4*(c - 1)/3
Suppose -23*y + 39 + 30 = 0. Factor 78 - y - 4 + 69 + 116 + 32*z + z**2.
(z + 16)**2
Suppose 5*g = -3*s + 3, 2*g - 8*s - 2 = -10*s. Let i be -1 + (-3 - (g + -4)). Suppose 5*h**3 + i*h**3 - 20*h**2 + 0*h**3 + 0*h**3 + 15*h = 0. What is h?
0, 1, 3
Suppose 8 = -t + 84*a - 85*a, -8*t + 3*a = -24. Factor 1/6*w**2 + 1/6*w + t.
w*(w + 1)/6
Let m(w) = w**2 + 6*w - 108. Let d be m(-14). Factor -21 - 19*y**2 + 10*y**3 + 4*y**2 + 6 + 15 + 5*y**d.
5*y**2*(y - 1)*(y + 3)
Let o(j) = 7*j**3 - 269*j**2 + 7290*j - 56320. Let m(c) = 240*c**3 - 9147*c**2 + 247857*c - 1914882. Let b(f) = 2*m(f) - 69*o(f). Factor b(p).
-3*(p - 38)**2*(p - 13)
Solve -30575*r + 42793*r**3 - 141610 + 1180*r**2 - 42798*r**3 - 37850*r = 0.
-2, 119
Let s(a) be the third derivative of 2/9*a**3 - 66*a**2 + 0*a + 1/9*a**4 + 0 + 1/1008*a**8 + 1/180*a**5 - 1/630*a**7 - 1/72*a**6. Factor s(b).
(b - 2)**2*(b + 1)**3/3
Factor -494/7*f - 1/7*f**3 + 64 + 47/7*f**2.
-(f - 32)*(f - 14)*(f - 1)/7
Let u be (70/30*12/49)/(2/14). Factor 0*b**2 + 0 - 3/2*b**u + 0*b + 33/2*b**3.
-3*b**3*(b - 11)/2
Let a(v) be the third derivative of v**6/15 - 2069*v**5/15 + 267806*v**4/3 - 534578*v**3/3 + 5*v**2 - 72. Solve a(t) = 0 for t.
1/2, 517
Let o(d) be the first derivative of d**5/4 + 5*d**4/4 - 15*d**3/2 + 25*d**2/2 + 125*d - 87. Let p(h) be the first derivative of o(h). What is s in p(s) = 0?
-5, 1
Let y = -6769 + 40619/6. Let u(m) be the second derivative of 0 - 5/6*m**6 + 5/12*m**4 + 0*m**2 - m + 5/21*m**7 + 3/4*m**5 - y*m**3. Let u(s) = 0. Calculate s.
-1/2, 0, 1
Let r(a) = -16*a + 163. Let u = -462 + 472. Let q be r(u). Find x such that -8/5 + 0*x**2 + 4/5*x**q - 12/5*x = 0.
-1, 2
Let h(i) = -i - 17. Let m be (84/(-8) + -2)*(-16)/(-10). Let j be h(m). Factor 5/3*a + 0 + 5/6*a**4 - 5/3*a**j - 5/6*a**2.
5*a*(a - 2)*(a - 1)*(a + 1)/6
Suppose 0 = 14*b - 4145 + 1009. Find h, given that 218*h**2 - 112*h**2 - 220*h + b - 110*h**2 = 0.
-56, 1
Suppose -43*r + 44 = -21*r. Factor 0 + 42*d**r - 27*d**2 - 27*d**2 + 12 + 4*d**3 - 4*d.
4*(d - 3)*(d - 1)*(d + 1)
Let n(w) = -w**2 + 14*w + 4. Let l be n(14). Suppose -10*i + l*i = -1740. Solve -8*c - 12*c**2 - 290 + i + 4*c**4 = 0 for c.
-1, 0, 2
Let u(q) be the second derivative of -8/15*q**3 - 8/105*q**7 + 2/75*q**6 + 3*q + 3 + 2/5*q**2 - 2/15*q**4 + 8/25*q**5. Determine g so that u(g) = 0.
-1, 1/4, 1
Let h(w) = 620*w**3 + 52268*w**2 + 561602*w + 1620002. Let l(n) = n**4 + 2*n**3 + 2*n**2 - n - 1. Let g(c) = h(c) + 2*l(c). Let g(r) = 0. Calculate r.
-150, -6
Find l such that 1/3*l**4 + 120*l - 189 - 8/3*l**3 - 14*l**2 = 0.
-7, 3, 9
Let w(v) be the second derivative of -4*v**7/147 - 29*v**6/105 - 71*v**5/70 - 32*v**4/21 - 4*v**3/7 + 603*v + 1. Find x, given that w(x) = 0.
-3, -2, -1/4, 0
Let i(r) be the third derivative of r**5/10 + 15*r**4/4 + 5*r**3/6 + 119*r**2. Let y(x) = 3*x**2 + 45*x + 3. Let p(u) = 3*i(u) - 5*y(u). Factor p(b).
3*b*(b + 15)
Let a(i) be the third derivative of -37*i**5/12 + 25*i**4/12 + 140*i**3 + 5*i**2 - 513*i. Solve a(r) = 0 for r.
-2, 84/37
Let f(m) = 6*m**2 + 9*m - 9. Let y be f(1). Factor -y*c**3 - 9*c - 4*c**3 - 2*c**4 + 41*c**2 - 5*c - 15*c**2.
-2*c*(c - 1)**2*(c + 7)
Let m(q) = 16*q**3 + 82*q**2 - 404*q + 512. Let h(f) = 2*f**3 + f**2 - 2*f. Let k(o) = -10*h(o) + m(o). What is a in k(a) = 0?
2, 8
Let k(z) be the second derivative of -z**4/28 + 337*z**3/14 - 72*z**2 - 268*z + 1. Factor k(r).
-3*(r - 336)*(r - 1)/7
Let -28/3 + 4/3*i**2 + 2/9*i**3 - 26/9*i = 0. What is i?
-7, -2, 3
Let y(t) = -13*t**2 + 939*t + 959. Let n(i) = -7*i**2 + 468*i + 479. Let u(f) = -7*n(f) + 4*y(f). Factor u(x).
-3*(x - 161)*(x + 1)
Factor 55*d**2 + 349/5*d - 4/5*d**3 + 14.
-(d - 70)*(d + 1)*(4*d + 1)/5
Let o be 6 + -4 - 2 - -4. Factor 34*m**3 - 16*m**4 + 154*m**2 - 81*m**2 - 6*m**o - 85*m**2.
-2*m**2*(m - 1)*(11*m - 6)
Let z be 1370/30 + 4/(-6). Let p**2 - 6*p**2 - z + 3*p**3 - 50*p + 5 + 2*p**3 = 0. What is p?
-2, -1, 4
Let g be 3*91 - -3 - (5 + -6). Suppose 0*s - 4*s = 4*v - 364, 4*s = -3*v + g. Solve -84*y**3 + 169*y**3 + 32*y**2 - v*y**3 - 128*y = 0 for y.
0, 8
Suppose 11*b + z + 13 = 6*b, 4*b + z = -11. Let x(p) = -p**3 + 3*p**2 - 2. Let w be x(b). Factor -w + 8 - 14*g - 2 + 2*g**3.
2*(g - 3)*(g + 1)*(g + 2)
Let i = -99/4 + 105/4. Let w(s) = 14*s**2 - 70*s + 87. Let q be w(3). Determine b so that 0*b - 3/2*b**4 + 0 - i*b**2 - 3*b**q = 0.
-1, 0
Suppose -21 + 1 = -5*u. Let b be ((-64)/80)/((-7)/(140/8)). Find p, given that -100*p + 15*p**2 - 34*p**b - 35*p**3 + 14*p**4 - 19*p**u - 40 - 71*p**2 = 0.
-2, -1
Factor 0 + 10/9*g**2 - 28/9*g + 2/9*g**3.
2*g*(g - 2)*(g + 7)/9
Let s(r) = 3*r**5 + r**4 + r**3 + r**2 - 2. Let j(g) = -4*g**5 - 22*g**4 + 64*g**3 - 10*g**2 - 16*g - 4. Let m(u) = -j(u) + 2*s(u). Suppose m(d) = 0. What is d?
-4, -2/5, 0, 1
Let g = -297 - -550. Let p be g/88 + (15/24)/5. Factor 20*v**3 - 8*v**4 - 15*v**3 - 16*v**p - 5*v**3 + 4*v**5 + 12*v + 8*v**2.
4*v*(v - 3)*(v - 1)*(v + 1)**2
Let t(g) = 1. Let p(z) = z**3 - 12*z - 21. Let w be p(5). Let c(m) = m**2 + 34*m + 300. Let l(i) = w*t(i) - 4*c(i). Factor l(r).
-4*(r + 17)**2
Solve 600 + 2400 - 456*l + 2400 + 4*l**2 - 228 - 640 = 0.
11, 103
Solve -64/3 - 224/3*t - 44/3*t**4 - 4/3*t**5 - 292/3*t**2 - 172/3*t**3 = 0 for t.
-4, -1
Let d(y) = 6*y**2 - 3*y - 2. Let v(x) = -56*x**2 + 3071*x - 1158224. Let n(w) = -18*d(w) - 2*v(w). Find k such that n(k) = 0.
761
Let v(y) = -y**3 - y**2 - 2*y + 1. Let f(l) = -2*l**3 + 1599*l**2 + 3195*l + 1603. Let b(n) = -5*f(n) + 15*v(n). Solve b(g) = 0 for g.
-1600, -1
Suppose -493*d + 2528 = 404*d - 265*d. Let d - 18/7*a + 2/7*a**2 = 0. What is a?
2, 7
Let r(d) be the second derivative of d**6/10 + 7*d**5/20 - 31*d**4/12 - 47*d**3/6 - 6*d**2 - 5*d - 147. Let r(m) = 0. Calculate m.
-4, -1, -1/3, 3
Let c(p) = -p**2 - 2105*p - 2020. Let r(n) = 3*n**2 + 4207*n + 4008. Let z(d) = -7*c(d) - 3*r(d). Factor z(i).
-2*(i - 1058)*(i + 1)
Let b(q) be the third derivative of -q**5/240 + 203*q**4/96 + 32*q**2 + 15. Suppose b(t) = 0. What is t?
0, 203
Let b = 244370/3 - 81446. Let k be (6/15)/(2/10). Factor -10/3*d**k + 50/3*d**3 - 8/3 - b*d.
2*(d - 1)*(5*d + 2)**2/3
Suppose 0*c - 28/3*c**2 + 5/6*c**4 + 0 - 1/6*c**5 + 11/3*c**3 = 0. Calculate c.
-4, 0, 2, 7
Let z(d) be the second derivative of -1 - 1/80*d**5 + 2*d**2 - d - 5/6*d**3 + 1/6*d**4. Factor z(v).
-(v - 4)*(v - 2)**2/4
Factor -8377*m + 5*m**3 + 16585*m - 780 - 105*m**2 - 8828*m.
5*(m - 26)*(m + 2)*(m + 3)
Let r be (62976/288)/41*(-2)/(-24). Find i such that 2/9*i - 2/9*i**2 + r = 0.
-1, 2
Let d(x) = x**3 - x + 2. Let c(r) = 30*r**3 - 1410*r**2 - 1030*r + 400. Let n(s) = -c(s) - 5*d(s). Solve n(l) = 0.
-1, 2/7, 41
Let d(b) be the t