. Let q(a) be the first derivative of b*a + 1/24*a**6 + 5 + 3/20*a**5 - 3/16*a**4 + 3/4*a**2 - 7/12*a**3. Solve q(c) = 0.
-3, -2, 0, 1
Determine c so that -420*c**4 - 8954/13*c**3 + 0 - 120*c**2 - 882/13*c**5 - 72/13*c = 0.
-3, -2/21, 0
Let l be (-221)/(-39) + (-2)/(-6). Let d be l/(-24) - 210/(-8). Find w such that 16*w - d + 26 - 4*w**3 + 12*w**2 = 0.
-1, 0, 4
Let s = 3202358/11 + -291122. Factor 0*a + 24/11*a**2 - 2/11*a**4 - 2/11*a**5 + 0 + s*a**3.
-2*a**2*(a - 3)*(a + 2)**2/11
Let j be 3/4 + 1182/24. Let x = 61 - j. Factor -x*i + 3*i**2 - 3 + 1 + 182*i**3 - i**2 - 171*i**3.
(i - 1)*(i + 1)*(11*i + 2)
Let y(x) be the third derivative of x**8/112 - 5*x**7/14 + 201*x**6/40 - 127*x**5/4 + 325*x**4/4 - 4688*x**2. Suppose y(r) = 0. Calculate r.
0, 2, 5, 13
Let s(l) be the third derivative of -l**6/720 - 17*l**5/60 - 289*l**4/12 - 197*l**3/6 - 75*l**2. Let z(m) be the first derivative of s(m). Factor z(u).
-(u + 34)**2/2
Find j such that -639*j**2 + 209*j**2 + 5*j**4 - 988*j**2 - 1660*j**3 - 620*j**2 + 373*j**2 = 0.
-1, 0, 333
Let y = -185585/6 - -30932. Solve -2/3*t**2 + 10/3*t**3 - 23/6*t**4 + 0 + y*t**5 + 0*t = 0.
0, 2/7, 1, 2
Let k(g) = -20 + g**2 + 7 + 1 + 72*g + 9. Let x(u) = 2*u**2 + 72*u - 2. Let s(w) = -2*k(w) + 3*x(w). Factor s(c).
4*c*(c + 18)
What is p in 1/4*p**3 + 87/4*p - 11/2*p**2 + 135/2 = 0?
-2, 9, 15
Find q such that 155520 + 588/5*q**3 + 18726/5*q**2 + 42336*q + 6/5*q**4 = 0.
-40, -9
Let m(q) be the second derivative of -q**6/105 - 20*q**5/7 - 2211*q**4/7 - 287296*q**3/21 + 300763*q**2/7 - 3037*q. Factor m(y).
-2*(y - 1)*(y + 67)**3/7
Let i(r) be the second derivative of 13 + 1/10*r**5 - 17*r**2 - 2*r + 35/3*r**3 - 19/6*r**4. Solve i(z) = 0 for z.
1, 17
Let h(y) be the second derivative of y**5/10 + y**4/4 - y**3/2 - y**2 + 1628*y. Determine v so that h(v) = 0.
-2, -1/2, 1
Let t be ((-1287)/(-26))/(-33) - 21/(-6). Factor -24/13 - 2/13*m**2 - t*m.
-2*(m + 1)*(m + 12)/13
Factor 2*j**4 - 1209 + 238*j**3 + 0*j**4 - 242*j**3 - 5724*j - 388 - 696*j**2 - 9581.
2*(j - 23)*(j + 3)*(j + 9)**2
Let c(z) be the second derivative of z**5/20 + 5*z**4/4 - 16*z**3 + 40*z**2 - 10*z. Determine y so that c(y) = 0.
-20, 1, 4
Factor 8 + 168*l**2 - 152*l + 623*l**2 - 141*l**2.
2*(13*l - 2)*(25*l - 2)
Factor -110/13 - 2/13*d**2 + 112/13*d.
-2*(d - 55)*(d - 1)/13
Factor -1/8*l**2 - 3247/4*l - 10543009/8.
-(l + 3247)**2/8
Find w such that 385407744820/11*w**2 - 143755220/11*w**3 - 2/11*w**5 + 277021875731514802/11 + 26810/11*w**4 - 516639081931210/11*w = 0.
2681
Let g = 65 + -59. Solve g*x**4 + 40*x**3 - 23*x**2 - 18*x**4 + 19*x**2 + 36*x**2 = 0.
-2/3, 0, 4
Let g(q) = 15*q**2 - 75*q + 7. Let c be g(5). Let o(k) = -42*k + 298. Let a be o(c). Factor 27/4*v**3 + 3/4*v**5 + 3/2*v - 15/4*v**a - 21/4*v**2 + 0.
3*v*(v - 2)*(v - 1)**3/4
Find c, given that 0 - 8/5*c**5 + 88/5*c**3 - 144/5*c + 252/5*c**2 - 28/5*c**4 = 0.
-4, -3, 0, 1/2, 3
Let o(w) be the third derivative of 1 - 1/15*w**5 + 1/300*w**6 + 2/15*w**4 + 0*w**3 + 15*w**2 + 1/525*w**7 + 0*w. Factor o(s).
2*s*(s - 2)*(s - 1)*(s + 4)/5
Let l be ((-72)/30)/(527/(-3255)) + -14. Factor -4/17 + l*b - 10/17*b**2.
-2*(b - 1)*(5*b - 2)/17
Let j(h) = h**2 - 143. Let r be j(12). Let f be (r*(-3)/15)/((-33)/55). Factor 1/3*y**3 + 0 - 1/3*y**2 + 1/3*y**4 - f*y.
y*(y - 1)*(y + 1)**2/3
Let x(r) be the first derivative of -r**5/30 - 2*r**4/9 - r**3/9 + 2*r**2 + 29*r + 86. Let k(m) be the first derivative of x(m). What is p in k(p) = 0?
-3, -2, 1
Let w be 90/(-1125) + 106/1200. Let p(u) be the second derivative of w*u**5 + 0 - 1/72*u**4 + 16*u + 1/180*u**6 + 0*u**2 - 1/36*u**3. Factor p(h).
h*(h - 1)*(h + 1)**2/6
Let z(d) = -67*d**4 - 437*d**3 - 502*d**2 - 155*d - 26. Let x(c) = 11*c**4 + 73*c**3 + 84*c**2 + 26*c + 4. Let n(b) = 39*x(b) + 6*z(b). Factor n(l).
3*l*(l + 7)*(3*l + 2)**2
Suppose -324 = 13*v + 79. Let l be (-74)/(-14) - (v + 36). Determine j, given that 0 - l*j**2 + 2/7*j = 0.
0, 1
Determine u so that 9*u**2 - 559*u + 685584 - 859*u - 1894*u - 5*u**2 = 0.
414
Let v = 64 - 62. Let -5*w**3 - 4*w - w**4 - 3*w**2 - 18*w**v + 5*w**2 + 8*w**2 = 0. Calculate w.
-2, -1, 0
Let l(j) be the first derivative of 0*j + 10*j**2 + 5/4*j**4 + 25 - 20/3*j**3. Factor l(z).
5*z*(z - 2)**2
Suppose -5*f - 4*y + 76 = 0, -3*y - 24 = 6*f - 9*f. Let x = -10 + f. Factor 38 + m**3 - 17 - m**2 - x*m - 21.
m*(m - 2)*(m + 1)
Let y(b) = 3*b**3 + 912*b**2 - 921*b - 6. Let g(u) = 102*u**3 + 31008*u**2 - 31317*u - 207. Let t(c) = 2*g(c) - 69*y(c). Factor t(z).
-3*z*(z - 1)*(z + 305)
Let f be 88/36*2937/10769. Determine m so that 32/3*m + 4*m**2 + 0 + f*m**4 - 6*m**3 = 0.
-1, 0, 2, 8
Let s(w) be the first derivative of -9*w**3 + 462*w**2 - 204*w + 1128. Determine i, given that s(i) = 0.
2/9, 34
Let j = 1/10058 - -20107/90522. Factor -j*l - 14/9 + 2/9*l**3 + 14/9*l**2.
2*(l - 1)*(l + 1)*(l + 7)/9
Let h be (1602/(-6942))/(-3 + (-5)/(50/(-15))). Suppose 66/13*l - h*l**2 + 0 = 0. Calculate l.
0, 33
Factor 0*p**2 + 0*p - 12*p**4 + 0 + 154/3*p**3 + 2/3*p**5.
2*p**3*(p - 11)*(p - 7)/3
Let l = -20 - -22. Let -194*a**l + 100*a**2 + a - 4*a + 93*a**2 = 0. What is a?
-3, 0
Let m = 23 + -20. Suppose -4*q = -4*l - 60, 0 = -5*q + q - m*l + 32. Factor 0*f**2 - f**2 - 8*f + 4 - q - 9.
-(f + 4)**2
Let v(u) = -20*u**2 - 6*u + 3. Suppose 2*h - 9 = 3. Let w(d) = -1 + 165*d**2 + 4 - h*d - 186*d**2. Let b(c) = -3*v(c) + 4*w(c). Factor b(o).
-3*(2*o + 1)*(4*o - 1)
Let k be -2 + 9 + (-2 - -2) + -3. Let r = 6 - k. Find o such that 3*o + 40*o**3 - o**2 + 0*o**r - 5*o - 37*o**3 = 0.
-2/3, 0, 1
Suppose 546 = 11*a + 10*a. Determine q so that 11*q**3 + a*q + 15*q**2 + 13 - 54*q**2 + 14*q - 25 = 0.
6/11, 1, 2
Let i = 2759 + -2757. Let g(x) be the first derivative of -4/9*x**3 + 1/12*x**4 + 32 + 4/3*x - 1/6*x**i. Find a, given that g(a) = 0.
-1, 1, 4
Let v be 14/(9*(-119)/(-153)). Let d(u) be the third derivative of -1/180*u**6 + 1/30*u**5 + 0 + 0*u + 1/9*u**3 - 1/12*u**4 + 12*u**v. Factor d(g).
-2*(g - 1)**3/3
Let l(w) be the first derivative of 0*w**2 + 4/33*w**6 + 24 - 4/33*w**3 + 1/2*w**4 + 0*w - 26/55*w**5. Find h, given that l(h) = 0.
0, 1/4, 1, 2
Let v = -22 + 22. Let y be (v - (-1 - 23))*(-138)/(-4). Suppose -y*c**3 - 480*c**2 - 36*c - 3 - 8*c + 11 = 0. Calculate c.
-1/3, 2/23
Let q(v) be the second derivative of v**7/168 - v**6/20 - v**5/10 + v**4/8 + 7*v**3/24 + 739*v. Suppose q(l) = 0. What is l?
-1, 0, 1, 7
Suppose 0 = -25*m + 52 + 123. Suppose 10 = 5*a, l + 5*a = 3*a + m. Solve 0 - 4/9*f**l + 0*f - 2/9*f**4 - 2/9*f**2 = 0.
-1, 0
Find o such that 2/3*o**5 + 250/21*o**4 - 128/21 + 608/21*o + 1322/21*o**3 + 1822/21*o**2 = 0.
-8, -1, 1/7
Let t = 1886/22587 - 5/30116. Factor -7/12*g - 3/2 + t*g**2.
(g - 9)*(g + 2)/12
Let a be ((-5)/(20/(-16)) + -8)/(-2). Solve -15859*c**2 - 2 + 2 + 29*c + 15858*c**a = 0 for c.
0, 29
Let x(a) be the second derivative of -a**7/2520 - a**6/216 - a**5/90 - a**3/2 + 152*a. Let v(n) be the second derivative of x(n). Factor v(k).
-k*(k + 1)*(k + 4)/3
Let k(h) = 17*h**3 - 7*h**2 - 144*h - 410. Let b(t) = 6*t**3 - 2*t**2 - 44*t - 136. Let r(a) = -11*b(a) + 4*k(a). Factor r(n).
2*(n - 9)*(n + 2)*(n + 4)
Let f(w) be the second derivative of 0 - 3/8*w**3 + 85*w + 5/4*w**2 - 1/48*w**4. Solve f(k) = 0 for k.
-10, 1
Let b be 1/7 - 0 - 777/(-49). Factor 3*y**2 + y**2 - b - 305*y + 293*y.
4*(y - 4)*(y + 1)
Let f(z) be the first derivative of -126 + 23/5*z**2 - 8/45*z**3 - 34/15*z. Factor f(y).
-2*(y - 17)*(4*y - 1)/15
What is k in -2*k**2 + 474*k**5 - 473*k**5 - 24*k + 8*k**3 + 8*k**4 + 9*k**3 = 0?
-4, -3, -2, 0, 1
Let w(n) be the second derivative of n**5/30 + 4*n**4/9 + 5*n**3/9 - 50*n**2/3 - 451*n + 3. Factor w(l).
2*(l - 2)*(l + 5)**2/3
Let m be 279 + -286 - ((-511)/38)/(2/44). Factor 6664/19*s + 86/19*s**3 + 1260/19*s**2 + 2/19*s**4 + m.
2*(s + 1)*(s + 14)**3/19
Let u(i) be the third derivative of 110*i**2 + 0*i**4 + 0*i + 16/15*i**3 + 0 - 1/150*i**5. What is x in u(x) = 0?
-4, 4
Suppose 0 = -2*u - 3*u + 540. Suppose 36*v - u = 34*v. Let 2*x**2 - 54 - 2*x**3 + v = 0. What is x?
0, 1
Let i(f) be the third derivative of -f**8/112 + f**6/20 - f**4/8 - 822*f**2. Find o, given that i(o) = 0.
-1, 0, 1
Let v(a) be the third derivative of -a**6/720 + a**5/40 - 23*a**4/144 + 5*a**3/12 - 301*a**2. Find h, given that v(h) = 0.
1, 3, 5
Let d = -4 + 9.