l(b) be the third derivative of -b**8/1848 + 13*b**7/385 - 2*b**2 + 256. Let l(x) = 0. Calculate x.
0, 39
Let u(y) be the third derivative of 0*y**3 - 6/245*y**7 + 9/70*y**6 + 3*y + 0 + 1/105*y**5 - y**2 - 1/14*y**4. Let u(b) = 0. What is b?
-1/3, 0, 1/3, 3
Let m(f) = -f + 5. Let z be m(-18). Let r = 26 - z. Factor -29*q + 24*q**2 - 15*q**r + 3*q**4 + 29*q - 3*q**3.
3*q**2*(q - 4)*(q - 2)
Suppose -20*f = -34*f + 448. Suppose 0*i - 40*i = f*i. Factor 1/3*g - 1/3*g**2 + i.
-g*(g - 1)/3
Factor -296/3*g + 2*g**2 + 10952/9.
2*(3*g - 74)**2/9
Let m(d) = -2*d**3 + 6*d**2 + 26*d - 2. Let r(j) = -j**3 - j**2 - j + 1. Let f = -31 + 28. Let k = f + 4. Let l(i) = k*m(i) + 2*r(i). Find a such that l(a) = 0.
-2, 0, 3
Let f(q) be the second derivative of 5*q**4/12 + 175*q**3 + 1040*q**2 + 6013*q. Suppose f(m) = 0. Calculate m.
-208, -2
Let u(s) be the first derivative of s**5/4 + 25*s**4/12 - 35*s**3/3 + 53*s - 211. Let i(z) be the first derivative of u(z). Find b, given that i(b) = 0.
-7, 0, 2
Let u(p) be the second derivative of p**4/54 + 20*p**3/27 - 1305*p. Find x such that u(x) = 0.
-20, 0
Let f(t) = -9*t + 22. Let v be f(2). What is o in -30*o + 23*o**4 - 5*o**2 + 23*o**4 - 51*o**v + 20*o**3 = 0?
-1, 0, 2, 3
Let v(n) = 94*n**3 + 56*n**2 - 835*n + 4513. Let c(p) = -19*p**3 - p**2 - p - 1. Let g(t) = 5*c(t) + v(t). Factor g(z).
-(z - 23)*(z - 14)**2
Let w be (-330)/(-154) + 2/(-14). Factor 67*y - 5*y**w + 412 + 63*y - 572 - 13*y - 27*y.
-5*(y - 16)*(y - 2)
Suppose -15*f + 408 = 9*f. Let w = 87/5 - f. Suppose 0*s**3 + w*s**4 - 4/5*s + 0 - 6/5*s**2 = 0. What is s?
-1, 0, 2
Let w(o) be the first derivative of 13*o**3/3 - 173*o**2/2 + 52*o + 6809. Factor w(a).
(a - 13)*(13*a - 4)
Let y(g) = 4*g**2 - 25*g + 29. Let o(t) = 2*t**2 - 12*t + 14. Let j be (8/14)/((-88)/(-308)). Let n(d) = j*y(d) - 5*o(d). What is w in n(w) = 0?
2, 3
Let w(u) = 4*u**5 + 100*u**4 - 481*u**3 + 605*u**2. Let p(x) = 22*x**5 + 504*x**4 - 2408*x**3 + 3024*x**2. Let i(f) = -3*p(f) + 16*w(f). Solve i(y) = 0 for y.
0, 2, 4, 38
What is d in 0 + 1/6*d**5 - 2*d + 10/3*d**2 - 1/2*d**3 - d**4 = 0?
-2, 0, 1, 6
Let x(g) = 121*g**3 - 1715*g**2 + 6743*g - 5184. Let s(c) = 2*c**2 + 5*c. Let r(y) = -5*s(y) - x(y). Factor r(m).
-(m - 1)*(11*m - 72)**2
Let c be 17 + (-9 - -6) + (-143)/13. Let j(s) be the second derivative of -2*s**5 + 21*s + c*s**2 - 13/6*s**4 + 0 + 10/3*s**3. Factor j(u).
-2*(u + 1)*(4*u + 1)*(5*u - 3)
Factor -24*t**3 + 3*t**5 - t - 620*t**2 + 18*t**4 + 22*t + 602*t**2.
3*t*(t - 1)**2*(t + 1)*(t + 7)
Let -15*g**4 - 80 + 65*g**3 + 197*g**2 + 130*g + 146*g**2 - 3*g**2 - 35*g**2 + 15*g**3 = 0. Calculate g.
-2, -1, 1/3, 8
Let 3*s**2 + 108/5*s + 0 - 3/5*s**3 = 0. What is s?
-4, 0, 9
Let m(k) be the first derivative of 25 - 9*k + 5*k**2 - 1/3*k**3. Let m(j) = 0. What is j?
1, 9
Factor -85303*h + 8965*h**2 + 88328*h - 329*h**3 + h**4 + 2*h**4.
h*(h - 55)**2*(3*h + 1)
Let p(w) = -5*w**2 + 52*w + 676. Let x(l) = -14*l**2 + 156*l + 2028. Suppose -4 = -4*s - 72. Let h(b) = s*p(b) + 6*x(b). Factor h(m).
(m + 26)**2
Let t = -15349784/23 - -666788. Let k = 594 + t. Factor 2/23*m**2 + 0 - k*m**4 - 2/23*m**5 + 0*m + 2/23*m**3.
-2*m**2*(m - 1)*(m + 1)**2/23
Let y(v) = -v**3 - 67*v**2 + 129*v + 79. Let b be y(-69). Let l be b/150*(-6)/4 + 8. Factor l - 1/2*j**3 + 2*j**2 - 5/2*j.
-(j - 2)*(j - 1)**2/2
Let o(h) be the first derivative of h**6/6 - 14*h**5/5 + 17*h**4/2 - 8*h**3/3 - 35*h**2/2 + 22*h - 1412. Solve o(l) = 0 for l.
-1, 1, 2, 11
Suppose 0 = 5*t + 10*b - 7*b - 30, -2*t = 5*b - 31. Factor 36*h**4 - 174*h**3 + t*h**5 - 64*h - 747*h**2 + 1023*h**2 - 125*h + 48.
3*(h - 1)**4*(h + 16)
Let a(k) be the third derivative of -k**5/510 + 125*k**4/204 + 128*k**3/17 - 518*k**2. Suppose a(v) = 0. What is v?
-3, 128
Let a be 112/(-22) + 0 - (-8)/88. Let h be 1*(a + 13 - 8). What is i in 0 + h*i**2 + 14/5*i**3 - 2/5*i - 12/5*i**4 = 0?
-1/3, 0, 1/2, 1
Suppose 3*k - 113 = 6*h - 10*h, k + 5 = 0. Let x = 67/2 - h. Solve 5/2*w - 3*w**3 + 1/2*w**4 + w**2 - x + 1/2*w**5 = 0 for w.
-3, -1, 1
Factor 17/3*l**3 + 0*l**2 - 6*l**4 + 0 + 1/3*l**5 + 0*l.
l**3*(l - 17)*(l - 1)/3
Let z(t) be the first derivative of 7*t**5/60 + 23*t**4/8 - 187*t**3/36 + 7*t**2/4 + 2231. Determine s so that z(s) = 0.
-21, 0, 2/7, 1
Let j(f) be the second derivative of -f**6/12 - 225*f**5/8 - 745*f**4/8 - 1115*f**3/12 + 1674*f. Determine w so that j(w) = 0.
-223, -1, 0
Let i(a) be the first derivative of -a**5/5 + 55*a**4/12 - 53*a**3/3 + 137*a**2/6 - 10*a - 523. What is m in i(m) = 0?
1/3, 1, 2, 15
Determine g so that 5 + 4*g**2 - 223 - 107*g - 2*g**2 - 3*g**2 + 2*g**2 = 0.
-2, 109
Let o = 38528 + -38526. Determine d so that -4*d - 2/13*d**o + 54/13 = 0.
-27, 1
Let o(l) be the second derivative of 0*l**5 + 0*l**2 - 2/75*l**6 + 2*l + 1/15*l**4 + 1/105*l**7 - 1/15*l**3 + 6. Let o(z) = 0. Calculate z.
-1, 0, 1
Let n(p) be the third derivative of 0*p + 0*p**4 + 0*p**3 - 1/420*p**8 + 41/525*p**7 - 1/15*p**6 + 0*p**5 + 8*p**2 - 1. Factor n(z).
-2*z**3*(z - 20)*(2*z - 1)/5
Let n = 1/8508 - -170147/110604. Factor 2/13*l**2 - 18/13*l - n.
2*(l - 10)*(l + 1)/13
Let y(p) be the second derivative of p**6/15 + 23*p**5/5 + 58*p**4 - 4888*p**3/3 - 10816*p**2 + 6*p + 14. Solve y(a) = 0.
-26, -2, 8
Find c such that -110*c**4 + 450*c**2 - 34*c**5 - 3*c**3 + 8*c**3 + 11035*c + 9*c**5 - 5432*c - 5243*c = 0.
-3, -12/5, -1, 0, 2
Factor 200 - 2/7*w**3 - 610/7*w + 76/7*w**2.
-2*(w - 28)*(w - 5)**2/7
Let t be (-15)/280 + (8 - (-996)/(-126)). Let a(p) be the third derivative of -1/3*p**3 - 1/120*p**6 + 0 + 1/30*p**5 + 0*p + t*p**4 - 19*p**2. Factor a(k).
-(k - 2)*(k - 1)*(k + 1)
Suppose -5*t = 4*p - 33, -30*p - t - 3 = -34*p. Let n(w) be the first derivative of 4/7*w**3 - 16/7*w - 8/7*w**2 - p. Determine b, given that n(b) = 0.
-2/3, 2
Factor 8*c**4 + 15*c**2 - 8*c + 6*c**3 - 10*c**4 - 15*c**2.
-2*c*(c - 2)**2*(c + 1)
Let i(x) be the first derivative of x**7/1120 + x**6/48 + 23*x**5/160 + 7*x**4/16 + 9*x**3 + 122. Let b(p) be the third derivative of i(p). Factor b(l).
3*(l + 1)*(l + 2)*(l + 7)/4
Let s = 5 + -3. Let v = 1011554/3 + -337178. Solve -30 + v*a**s + 5/3*a**3 - 5*a = 0.
-3, 2
Let d(h) = 78*h**4 - 1403*h**3 + 2760*h**2 - 14*h. Let p(x) = -55*x**4 + 935*x**3 - 1840*x**2 + 10*x. Let r(w) = -5*d(w) - 7*p(w). Solve r(o) = 0.
0, 2, 92
Let y = 2300 + -1608. Let d = y + -692. Let d + 2/7*o**2 - 6/7*o = 0. What is o?
0, 3
Let r = 221 - 227. Let l be ((6 + r)/(-1))/(-2). Factor -2/3 + l*k + 2/3*k**2.
2*(k - 1)*(k + 1)/3
Let o(k) be the third derivative of 1/210*k**8 + 0 + 11/75*k**6 - 4/5*k**4 - 39*k**2 + 6/5*k**3 - 26/525*k**7 + 0*k + 4/75*k**5. Find t such that o(t) = 0.
-1, 1/2, 1, 3
Let j be (-6)/513 - 2789720/(-265392). Factor 39/4*n + j - 3/4*n**2.
-3*(n - 14)*(n + 1)/4
Let 105/2*k**2 + 552*k + 3/2*k**3 + 1824 = 0. Calculate k.
-19, -8
Solve -1/2 - 29/4*h**3 + 1/2*h**2 + 29/4*h = 0 for h.
-1, 2/29, 1
Let q(t) be the second derivative of -6 - 9*t**4 + 104/45*t**6 - 73/15*t**5 - 8/3*t**2 - 5*t + 80/9*t**3. Solve q(m) = 0.
-1, 2/13, 1/4, 2
Let v(y) be the first derivative of 0*y**3 - 1/16*y**4 + 15*y + 25 + 3/2*y**2. Let u(m) be the first derivative of v(m). Factor u(p).
-3*(p - 2)*(p + 2)/4
Let n = 40 - 11. Suppose 30*u = n*u + 2. Determine p, given that 4*p - 5*p - p**u + 492 - 491 + p**3 = 0.
-1, 1
Let b(m) be the second derivative of m**7/210 + 3*m**6/50 + 9*m**5/50 - 9*m**4/10 - 81*m**3/10 - 243*m**2/10 - m - 178. Factor b(j).
(j - 3)*(j + 3)**4/5
Let x be (40/96)/(2800/8064). Factor -4/5*r**2 - 2/5*r**4 + 0*r + x*r**3 + 0.
-2*r**2*(r - 2)*(r - 1)/5
Suppose -346*k = -66*k - 560. Let g be (-2)/3 - (-21)/18. What is v in v**k + 0 - 1/2*v - g*v**3 = 0?
0, 1
Determine s, given that 619*s - 10099 + 25465 + 901*s + 4*s**2 + 129034 = 0.
-190
Let t = -334 + 337. Let b be t*1/(165/20). Factor 0 + 2/11*r**4 - 2/11*r**2 - 4/11*r**3 + b*r.
2*r*(r - 2)*(r - 1)*(r + 1)/11
Let m(k) be the first derivative of 2/3*k**2 - 1/45*k**5 - 41*k - 41 + 10/27*k**3 + 1/27*k**4. Let x(w) be the first derivative of m(w). Factor x(f).
-4*(f - 3)*(f + 1)**2/9
Let h(m) = -m**2 + 19*m - 46. Let o be h(16). Suppose -3*d + 16 = -5*t, 0 = -5*d - 0*t + o*t + 14. Solve 3*a + 1/4*a**5 - d + 1/2*a**2 + 0*a**4 - 7/4*a**3 = 0.
-2, 1, 2
Factor 294*r - 85*r**2 + 410*r - 2373 + r**3 + 352*r - 4027 + 28*