*(2*x - 1)/4
Determine l so that 19810 - 9835 - 10722 - 258*l - 3*l**2 = 0.
-83, -3
Let q(c) be the first derivative of c**6/1620 - 2*c**5/135 + 4*c**4/27 + 11*c**3/3 - 9*c + 13. Let j(b) be the third derivative of q(b). Factor j(g).
2*(g - 4)**2/9
Let q be 33/(-44)*40/(-6). Let s(k) be the second derivative of 0*k**2 - 3/40*k**q + 0*k**4 + 0 - 1/8*k**6 - 18*k + 0*k**3. What is j in s(j) = 0?
-2/5, 0
Suppose -11*n = 154 - 198. Suppose 0 = n*v - 3*v - 2. Factor -1/5*o**2 - 5 + v*o.
-(o - 5)**2/5
Let u(c) be the second derivative of c**5/20 - c**4/12 - c**3/6 + c - 7. Let y(j) = -j**3 - 39*j**2 + 6*j. Let r(m) = 6*u(m) + y(m). Factor r(p).
5*p**2*(p - 9)
Let w be 6*(1 + (-3)/9). Suppose w = 2*i, 3*u + u - 158 = -5*i. Solve 16 + 2*d**2 + u*d + 2*d**2 - 21*d = 0 for d.
-2
Suppose 0 = -n + 5*f + 2, 0 = -291*n + 296*n - 5*f - 10. Factor 0 - 1/4*y**n + 0*y + 1/8*y**3.
y**2*(y - 2)/8
Let v(y) be the first derivative of 5*y**4/24 + 1030*y**3/9 - 4135*y**2/12 + 345*y - 2810. What is o in v(o) = 0?
-414, 1
Let x = 4/5811 + 11578/63921. Let f be (-4)/(-22) - (-24)/44. Suppose 0 - x*i**3 + 8/11*i**2 - f*i = 0. Calculate i.
0, 2
Let 5/2*x**4 + 0*x + 3/2*x**2 + 7/2*x**3 + 1/2*x**5 + 0 = 0. Calculate x.
-3, -1, 0
Let w be (-55)/77 + 2/(-7) + 4. Factor -6*h + 4*h + h**4 - 4*h + 2*h**w - 15*h**2 + 10*h**2.
h*(h - 2)*(h + 1)*(h + 3)
Let u(z) = 4600*z - 128798. Let b be u(28). Determine f, given that -5/4*f**3 + 0*f**b + 105/4*f + 25 = 0.
-4, -1, 5
Let q(c) be the first derivative of -85 + 338/3*c + 1/18*c**3 - 13/3*c**2. Factor q(g).
(g - 26)**2/6
Let o(g) = 3*g. Let m(d) = 11*d - 4. Let y(z) = -m(z) + 4*o(z). Let p be y(1). Factor 25/2*j**5 + 0 + 20*j**4 - p*j**2 + 5/2*j**3 + 0*j.
5*j**2*(j + 1)**2*(5*j - 2)/2
Determine d, given that 15/4*d**2 - 249/2*d + 3/4*d**3 + 120 = 0.
-16, 1, 10
Let f(s) be the third derivative of -1/60*s**6 + 11/6*s**5 - 784/3*s**3 + 0 + 0*s - 182/3*s**4 - 4*s**2. Factor f(i).
-2*(i - 28)**2*(i + 1)
Let o(t) = -12*t**3 + 72*t**2 - 261*t - 330. Let w(r) = -7*r**3 + 37*r**2 - 128*r - 163. Let y(f) = 6*o(f) - 10*w(f). Suppose y(g) = 0. What is g?
-1, 7, 25
Let v = 30/91 + -1409/4550. Let s = 187/25 + v. Factor -s*x - 3/4*x**2 - 75/4.
-3*(x + 5)**2/4
Suppose -44*r = -33*r - 385. Suppose 36*b = u + r*b - 7, -3*u = b - 5. Let 7/4*t - 3/4 - 5/4*t**2 + 1/4*t**u = 0. Calculate t.
1, 3
Let m(u) be the second derivative of 4*u**6/15 - 441*u**5/10 + 91*u**4 - 109*u**3/3 - 8*u + 11. Solve m(r) = 0.
0, 1/4, 1, 109
Let i(l) = -8*l**4 + 655*l**3 - 2551*l**2 + 2534*l + 9. Let b(o) = -7*o**4 + 655*o**3 - 2554*o**2 + 2536*o + 6. Let v(q) = 3*b(q) - 2*i(q). Factor v(h).
-5*h*(h - 127)*(h - 2)**2
Let r(u) be the first derivative of 11*u**3/2 + 17*u**2/2 + u/2 - 358. Find v such that r(v) = 0.
-1, -1/33
Let j(l) be the first derivative of 1/9*l**3 - 2 + 8/3*l**2 + 20/3*l - 1/12*l**4. What is t in j(t) = 0?
-2, 5
Let u(x) be the second derivative of -x**6/70 - 18*x**5/35 + 51*x**4/28 + 1445*x**3/7 - 656*x + 3. Factor u(b).
-3*b*(b - 10)*(b + 17)**2/7
Suppose -2*z = 3*d - 9, 120*d - 61*d - 59*d = -5*z. Find s, given that 0 - 9/5*s**d - 6/5*s + 3*s**2 = 0.
0, 2/3, 1
What is o in -591/5*o**4 + 0 - 54/5*o - 18*o**5 - 99*o**2 - 1122/5*o**3 = 0?
-3, -2/5, -1/6, 0
Let t(c) be the second derivative of -9*c**6/10 + 897*c**5/20 - 555*c**4/2 + 116*c**3 - 3404*c. Suppose t(x) = 0. What is x?
0, 2/9, 4, 29
Suppose -6*q + 17 + 1 = 0. Factor -260*y - 7 + 57 + 130 + 80*y**3 - 75*y**q + 75*y**2.
5*(y - 2)*(y - 1)*(y + 18)
Let n(c) be the second derivative of -1/8*c**3 - 100*c + 1/48*c**4 + 0*c**2 + 0. Factor n(g).
g*(g - 3)/4
Let x = -241 - 402. Let c = x - -643. Factor w + c + 1/4*w**2.
w*(w + 4)/4
Let q = 12423517/7 + -1777753. Let r = q + 2970. What is a in r*a**4 + 0*a**2 - 8/7*a + 34/7*a**3 + 0 + 10/7*a**5 = 0?
-2, -1, 0, 2/5
Let m(i) = -i**4 - 152*i**3 - 1710*i**2 + 4054*i - 6. Let q(o) = 9*o**4 + 1521*o**3 + 17097*o**2 - 40539*o + 63. Let g(n) = -21*m(n) - 2*q(n). Factor g(a).
3*a*(a - 2)*(a + 26)**2
Let c(g) be the third derivative of -g**7/210 + 7*g**6/120 + g**5/5 - 17*g**4/6 - 56*g**3/3 + 153*g**2. Factor c(s).
-(s - 7)*(s - 4)*(s + 2)**2
Let b be 2/(-262 + 280 - 2/4*22). Solve -2/7*w - 4/7*w**2 + b*w**3 + 4/7 = 0.
-1, 1, 2
Let i(u) be the second derivative of u**6/45 - 2*u**5/5 - 43*u**4/18 - 10*u**3/3 + 576*u. What is v in i(v) = 0?
-2, -1, 0, 15
Suppose 104 = -58*k + 66*k. Let w be (-2 - k) + 14 - (-5 + 1). Suppose -1/2*i**w + 0*i - 2*i**2 + 0 = 0. What is i?
-4, 0
Let w(f) be the third derivative of f**8/1512 + 2*f**7/27 + 203*f**6/540 + 67*f**5/135 - 5400*f**2. Solve w(l) = 0.
-67, -2, -1, 0
Suppose m = -4*l + 115 + 421, m = 2*l - 268. Let i = 134 - l. Factor i - 3/4*h**3 + 1/4*h**4 + 3/4*h - 1/4*h**2.
h*(h - 3)*(h - 1)*(h + 1)/4
Let h be (1 - 2)*0*-1. Suppose h = -r - 3*r - 4, t - 3 = r. Factor -3*b + 5 - t - 9 + 3*b**2.
3*(b - 2)*(b + 1)
Factor -2 - 1/7*m**2 - 15/7*m.
-(m + 1)*(m + 14)/7
Let a(z) be the second derivative of -1 + 0*z**2 + 2*z + 4/5*z**3 + 1/50*z**5 - 4/15*z**4. Factor a(h).
2*h*(h - 6)*(h - 2)/5
Let c(o) = -2*o**3 - 12*o**2 - 436*o - 2125. Let n be c(-5). Factor 2*m + 4 - n*m**2 - 1/2*m**5 + 2*m**4 - 1/2*m**3.
-(m - 2)**3*(m + 1)**2/2
Let k(b) be the first derivative of -25*b**6/9 - 34*b**5 - 293*b**4/2 - 2602*b**3/9 - 272*b**2 - 120*b - 3710. Suppose k(f) = 0. What is f?
-5, -2, -3/5
Let q(t) be the first derivative of -1/16*t**4 - 5/2*t**2 + t**3 - 272 + 0*t. Solve q(i) = 0 for i.
0, 2, 10
Suppose -23*k - 133 = -179. Let b(a) be the first derivative of 1/18*a**4 - 1/3*a**k - 18 - 4/9*a + 0*a**3. Factor b(z).
2*(z - 2)*(z + 1)**2/9
Let 85*g**3 + 29370*g - 133*g**3 - 17*g**3 - 145*g**3 - 4958*g**2 - 35626 + 11426 - 2*g**4 = 0. What is g?
-55, 1, 4
Let j = -12 + 13. Let x be (2 - (j - 33)) + 2. Suppose -60*p + 11*p**3 + 10*p**3 - x - 11*p**3 - p**4 - 13*p**2 = 0. Calculate p.
-1, 6
Let w(j) be the third derivative of j - 49/90*j**6 - 6*j**2 + 0 - 287/15*j**5 - 80/3*j**4 - 136/9*j**3. Factor w(a).
-4*(a + 17)*(7*a + 2)**2/3
Let z be (3 - 1)/(9/(-3)) - 391/(-276). Let n(o) be the first derivative of 14 - o + z*o**2 + 1/3*o**3. Factor n(s).
(s + 2)*(2*s - 1)/2
Let p(o) be the first derivative of o**4/14 - 20*o**3/21 - 33*o**2 + 432. Factor p(s).
2*s*(s - 21)*(s + 11)/7
Let a be (6/27 + (-6)/27)/(13/117*-9). Factor a + 10*k**2 - 24/7*k + 6/7*k**3.
2*k*(k + 12)*(3*k - 1)/7
Suppose 2*p - 5*p - 120 = 0. Let x be (-21)/14*p/6. Factor -2*u**2 - 7*u**4 - u**4 + x*u**2 - 10*u**5 + 14*u**5 - 4*u.
4*u*(u - 1)**3*(u + 1)
Let x(n) be the second derivative of 11*n**4/72 - 97*n**3/36 - 3*n**2/2 - 1478*n - 3. Factor x(i).
(i - 9)*(11*i + 2)/6
Let i(g) = 7*g**2 + 9483*g - 19028. Let z(d) = -36*d**2 - 47404*d + 95139. Let f(s) = 11*i(s) + 2*z(s). Let f(a) = 0. Calculate a.
-1903, 2
Let s(h) be the second derivative of -h**2 + 0 + 0*h**3 - 3/10*h**5 + 1/8*h**6 + 9*h + 1/8*h**4. Let q(j) be the first derivative of s(j). Solve q(x) = 0.
0, 1/5, 1
Let b(z) = 3286 + 17*z - 3334 + 29*z**2 + z**3 + 59*z. Let m be b(-26). Factor 0 - 2/13*v**m + 0*v**2 + 8/13*v - 6/13*v**3.
-2*v*(v - 1)*(v + 2)**2/13
Let h(a) = a**3 - 32*a**2 - 46*a - 100. Let i be h(34). Let n = 648 - i. Factor 2/11*k**3 + 4/11*k**2 + n + 2/11*k.
2*k*(k + 1)**2/11
Let w(z) be the second derivative of -z**6/6 + 5*z**5/2 + 5*z**4/12 - 205*z**3/3 - 180*z**2 - 9*z + 34. Suppose w(l) = 0. What is l?
-2, -1, 4, 9
Find m such that -208/5*m - 48/5*m**3 - 4/5*m**4 - 168/5*m**2 - 84/5 = 0.
-7, -3, -1
Let t(l) be the second derivative of -l**6/60 + 11*l**5/20 + 295*l**4/24 + 200*l**3/3 + 11135*l. Solve t(x) = 0 for x.
-5, 0, 32
Let l(u) = -6*u + 93. Let w be l(15). Suppose -22 = -5*v - 2, -2*o + w*v = 6. Factor 0 - 1/4*i**o - 25/4*i + 5/2*i**2.
-i*(i - 5)**2/4
Suppose 3090 = 7*s + 3*s. Solve s - 682 + 2*v**2 + 4*v + 343 = 0.
-5, 3
Suppose -4*k + 758 = -2*j, 5*j - j + 1488 = k. Let i = -368 - j. Suppose 2/21 - 4/21*s + 8/21*s**4 - 2/7*s**2 + 8/21*s**i = 0. Calculate s.
-1, 1/2
Let b = -352 + 375. Suppose 0 = 3*p - b*p + 80. Factor 1/2*d**5 + 4 + 4*d**p + 14*d + 19*d**2 + 25/2*d**3.
(d + 1)**2*(d + 2)**3/2
Suppose 4*l - 2778 + 2770 = 0. Let y(c) be the second derivative of 0 + 0*c**6 + 0*c**l - 1/42*c**7 + 1/10*c**5 - 1/6*c**3 - 13*c + 0*c**4. Factor y(i).
-i*(i - 1)**2*(i + 1)**2
Factor -1467 + 529 - 742 + 1892