, -1, -1/8
Let r(b) be the second derivative of -3*b**4 + 0 - 3*b**2 + 72*b + 9/2*b**3 + 3/4*b**5. Solve r(g) = 0.
2/5, 1
Factor 618272/9 - 2224/9*p + 2/9*p**2.
2*(p - 556)**2/9
Suppose 2*y - 170 = -4*p + y, p + 3*y - 37 = 0. Suppose 54*v - 33 = p*v. Factor 0 + c**2 - 1/4*c - 3/4*c**v.
-c*(c - 1)*(3*c - 1)/4
Let f(c) be the second derivative of c**5/5 + 70*c**4/3 + 1250*c**3/3 + 3000*c**2 + 4660*c. Find k, given that f(k) = 0.
-60, -5
Solve -928/3*c - 1/3*c**2 + 929/3 = 0.
-929, 1
Let l(a) be the first derivative of -2*a**3/15 - 163*a**2/15 + 44*a/3 - 87. Factor l(t).
-2*(t + 55)*(3*t - 2)/15
Let d(n) be the second derivative of -n**5/30 + n**4/18 + n**3 - 3*n**2 - 3608*n. Factor d(s).
-2*(s - 3)*(s - 1)*(s + 3)/3
Let d(t) be the third derivative of 0 - 5/6*t**4 + 83*t**2 + 0*t - 1/30*t**5 - 8*t**3. Factor d(v).
-2*(v + 4)*(v + 6)
Let w(h) be the first derivative of 2/45*h**5 - 97 + 5/9*h**4 + 0*h**2 + 0*h - 22/27*h**3. Solve w(l) = 0 for l.
-11, 0, 1
What is f in -18*f**3 + 27*f**3 - 7965 + 29*f**3 - 1620*f**2 + 17766*f - 2619 = 0?
12/19, 21
Let h(o) = -o**3 - 21*o**2 + o + 11. Let s be h(-20). Let a = s + 409. Factor -3/11*n**3 - 3/11*n**2 - 1/11*n + a - 1/11*n**4.
-n*(n + 1)**3/11
Let b(t) be the second derivative of 5*t**4/54 - 17*t**3/27 + 4*t**2/3 + 1281*t. Determine z so that b(z) = 0.
1, 12/5
Let f = -572 + 594. Let u(g) be the first derivative of 33/16*g**4 + 0*g - f - 3/2*g**2 + 27/20*g**5 + 0*g**3 + 1/4*g**6. Determine q, given that u(q) = 0.
-2, -1, 0, 1/2
Let s be 1519/651*-135*30/(-700). Solve -3/2*f**3 - 27/2*f**5 - s*f**2 + 63/2*f**4 + 0 - 3*f = 0.
-1/3, 0, 1, 2
Let t be -20*((-102)/(-30) + -3). Let y(a) = 2*a**2 - 8*a + 3. Let u(w) = -6*w**2 + 24*w - 10. Let m(q) = t*y(q) - 3*u(q). Factor m(d).
2*(d - 3)*(d - 1)
Let u(o) = o**3 + 15*o**2 + 12*o - 26. Let j be u(-14). Let c(h) be the second derivative of -h**3 + 0 - 2*h**j + 7*h - 1/6*h**4. Let c(v) = 0. Calculate v.
-2, -1
Let j = -5488 + 5493. Let u(o) be the third derivative of 0 + 11*o**2 - 1/945*o**7 - 1/54*o**4 + 0*o**3 + 0*o + 0*o**6 + 1/90*o**j. Let u(r) = 0. What is r?
-2, 0, 1
Suppose 0 = 3*g - v - 3, -88*g + 4*v = -64*g - 12. Factor 0*a + 125/4*a**2 + g + 1/4*a**5 + 75/4*a**3 + 15/4*a**4.
a**2*(a + 5)**3/4
Let i(f) = f**3 - f**2 + 9. Let t be i(0). Let s be ((-18)/4)/t - 15/(-6). Find a, given that -30*a**4 - 41*a**4 + 55*a**4 - 10*a**3 - 8*a**5 - 2*a**s = 0.
-1, -1/2, 0
Let y = -48/2345 + 2537/9380. Factor 9/4 + 5/2*l**3 - 2*l**2 - y*l**4 - 5/2*l.
-(l - 9)*(l - 1)**2*(l + 1)/4
Let m(q) = -20*q**2 + 12*q - 12. Let w(g) = -8*g**2 + 5*g - 5. Let d(o) = -37*o - 308. Let n be d(-8). Let t(r) = n*w(r) + 5*m(r). Find u such that t(u) = 0.
0
Solve 1/2*f**5 - 96 + 70*f**2 + 11*f**4 - 38*f + 105/2*f**3 = 0.
-16, -3, -2, 1
Let p be 266/(-63) + (4 - -1) + -16 + 1316/84. Solve p*z**3 + 128/9 + 8*z**2 - 2/9*z**4 + 176/9*z = 0.
-2, 8
Let d(o) be the second derivative of -o**4/12 + 2*o**3/3 + o**2 + 13*o. Let z be d(3). Suppose -6 - 7 - 20*m - 5 + 3 - z*m**2 = 0. Calculate m.
-3, -1
Let v(u) be the second derivative of -8/3*u**3 - 7/5*u**5 + 3 + 80*u**2 - 10*u**4 + 76*u + 2/15*u**6. Determine w so that v(w) = 0.
-2, 1, 10
Suppose -4*p + 343 + 41 = 0. Suppose 0 = 5*r - 3*g - 144, 4*r = -6*g + 2*g + p. Factor m - m**4 + 2*m**4 + 3*m**3 - 27 + r + 3*m**2.
m*(m + 1)**3
Let g(r) = -r - 3. Let z be g(-6). Let y(x) = -58*x**2 - 123*x + 4. Let j be y(0). Factor 2/5*c**j - 6/5*c**z - 6/5*c**2 + 12/5 + 14/5*c.
2*(c - 3)*(c - 2)*(c + 1)**2/5
Let n(a) be the second derivative of -a**4/36 + 3*a**3 + 55*a**2/6 + 88*a + 5. Solve n(f) = 0 for f.
-1, 55
Suppose 1088/15*q**3 - 226*q**4 + 512/15*q**2 + 120*q**5 + 0 + 0*q = 0. What is q?
-1/4, 0, 16/15
Let d(z) be the second derivative of z**4/8 + 840*z**3 + 2116800*z**2 - 5653*z. Factor d(n).
3*(n + 1680)**2/2
Let v(p) = p**3 - p - 1. Let m(q) = 4*q**2 + 6*q - 13. Let n(o) = -m(o) + v(o). Let t be n(5). Suppose 8 - 4*l - l**3 - 16 - 8*l - 6*l**t = 0. Calculate l.
-2
Let t(b) be the first derivative of -3*b**5/25 - 1209*b**4/10 - 161601*b**3/5 + 488436*b**2/5 - 489648*b/5 - 8297. Find o, given that t(o) = 0.
-404, 1
Determine n, given that 12/5 - 34/15*n**3 + 94/15*n - 4/15*n**4 + 28/15*n**2 = 0.
-9, -1, -1/2, 2
Let n(t) = -36*t**3 + 6*t**2 + 189*t + 186. Let z(i) = 47*i**3 - 5*i**2 - 188*i - 188. Let q(h) = 4*n(h) + 3*z(h). Factor q(j).
-3*(j - 10)*(j + 1)*(j + 6)
Let p be (2/30 - (-2)/6)*115. Suppose 120*i - 172*i**2 - 36*i**4 - 309*i**5 + 313*i**5 - 32 - p*i**3 + 162*i**3 = 0. Calculate i.
1, 2, 4
Let m be ((-5)/3)/((-55)/66). Let 230*j**m - 115*j**2 - 120*j**2 - 30*j = 0. Calculate j.
-6, 0
Let r(s) = -2*s - 11. Let c be r(-8). Let t be (-40)/(-24)*18/c. Solve 2*p**3 + t*p - 12*p**2 - 1195*p**4 + 7*p**3 - 3*p**5 - 2*p + 1197*p**4 = 0 for p.
-2, 0, 2/3, 1
Suppose -5*o + 40 = 3*m, 8 = -11*m - o + 16. Find h, given that -6/11*h + m + 5/11*h**2 + 1/11*h**3 = 0.
-6, 0, 1
Let t = 786344/3 - 262114. Find y such that -18*y + 52/3 + t*y**2 = 0.
1, 26
Let q(w) be the first derivative of 0*w**2 - 10 - w**3 - 1/4*w**4 - 26*w. Let h(o) be the first derivative of q(o). Solve h(a) = 0 for a.
-2, 0
Let n(p) = 4*p + 1. Let x be n(1). Suppose 2*l = -3*v - x + 22, 5*l = v + 51. Factor -l*y**4 - 18*y**3 + 14*y - 14*y**2 - 38*y + 20*y - 2*y**5.
-2*y*(y + 1)**3*(y + 2)
Solve -728/9*y**2 + 124/3*y**3 - 496/3*y - 2/9*y**4 + 2944/9 = 0.
-2, 2, 184
Let a be (2/(-8))/(-65 - 1085122/(-16704)). Factor -32/11*b - a + 2/11*b**2.
2*(b - 18)*(b + 2)/11
Let u(f) be the second derivative of f**5/230 - f**4/46 - 143*f**3/23 - 3025*f**2/23 + 2*f + 275. Determine y, given that u(y) = 0.
-11, 25
Let d(h) = 10*h**2 - 72*h + 16. Suppose 3*x - 6 = 3*g, x - 6*x = -2*g - 25. Let z be d(x). Factor -1/5 + 2/5*q - 1/5*q**z.
-(q - 1)**2/5
Let l(q) be the third derivative of -q**5/60 + 2*q**4 + 8*q**2 - 2*q. Factor l(h).
-h*(h - 48)
Suppose 236*z + 4004 = 1237*z. Factor -24/11*k + 0*k**3 + 0 + 2/11*k**z - 26/11*k**2.
2*k*(k - 4)*(k + 1)*(k + 3)/11
Let v(b) = b**3 - b**2 - 19*b + 13. Let s(m) = -6*m**3 + 6*m**2 + 94*m - 66. Let o(g) = -g - 37. Let f be o(-23). Let w(q) = f*v(q) - 3*s(q). Factor w(p).
4*(p - 2)*(p - 1)*(p + 2)
Let z(c) be the second derivative of -c**4/108 + 23*c**3/27 - 152*c**2/9 + 1726*c. Factor z(w).
-(w - 38)*(w - 8)/9
Find y such that 3/8*y**3 + 45/4*y**2 + 108 - 78*y = 0.
-36, 2, 4
Let r(b) = -b - 1. Let k(p) be the third derivative of 7*p**2 - 1/60*p**5 - 16/3*p**3 + 0 + 1/8*p**4 + 0*p. Let h(d) = -4*k(d) + 28*r(d). Factor h(i).
4*(i - 5)**2
Suppose 0 - 23/7*f**4 + 1/7*f**5 - 256/7*f + 120/7*f**3 - 16*f**2 = 0. What is f?
-1, 0, 4, 16
Suppose 84*m = 79*m - 4*l + 23, -10 = -5*l. Let i(g) be the second derivative of -5/3*g**m + 0 - 2*g**2 - 9*g - 2/3*g**4 - 1/10*g**5. Find h such that i(h) = 0.
-2, -1
Factor 540/7 + 2/7*q**2 - 78/7*q.
2*(q - 30)*(q - 9)/7
Let u(a) be the second derivative of 3/20*a**5 - 2*a + 30 + a**4 + 0*a**2 - 1/6*a**6 + 2/3*a**3. Factor u(d).
-d*(d - 2)*(d + 1)*(5*d + 2)
Suppose 7*s - 315 = -38*s. Let i be 22/165*5/s. Determine c, given that 2/21*c + 0 + i*c**2 = 0.
-1, 0
Let j(m) be the second derivative of 37/6*m**4 + 1/30*m**6 + 39*m + 28/3*m**3 + 4/5*m**5 - 147/2*m**2 + 3. Suppose j(l) = 0. Calculate l.
-7, -3, 1
Let l(o) be the first derivative of -3*o**4/28 + 142*o**3/7 + 3*o**2/14 - 426*o/7 + 10071. Find w, given that l(w) = 0.
-1, 1, 142
Let l(s) be the first derivative of 29/7*s**2 - 136 + 3/28*s**4 - 31/21*s**3 - 16/7*s. Factor l(b).
(b - 8)*(b - 2)*(3*b - 1)/7
Let t = 1318 + -1305. Let n(i) be the first derivative of -1/10*i**4 + 13/5*i**2 - 2/3*i**3 - 14/5*i - t. Let n(x) = 0. Calculate x.
-7, 1
Let q(v) be the second derivative of 7*v**7/6 + 1981*v**6/30 + 2727*v**5/20 - 137*v**4/12 - 388*v**3/3 + 78*v**2 - 3*v - 225. Solve q(w) = 0 for w.
-39, -1, 2/7
Let w be (2 - (-5 - -4)*1)/(-3). Let h be ((-36)/27 - -4) + w. Let -4/3 - 8/3*d - 1/3*d**3 - h*d**2 = 0. What is d?
-2, -1
Let g(b) = b**3 - 10*b**2 + 3. Let x be g(10). Factor 10*r**4 - 7*r**2 - 27*r**2 + 2*r**2 + 2*r**2 + 10 - 5*r - 5*r**x.
5*(r - 2)*(r + 1)**2*(2*r - 1)
Let u be (-874)/(-161)*3/((-162)/14). Let k = u - -164/27. Factor 2/3*j**3 - k*j**2 + 10*j - 6.
2*(j - 3)**2*(j - 1)/3
Let b(w) be the first derivative of -w**3/12 - 39*w**2/8 + 161*w/2 + 572. Find z, given that b(z) = 