*z - 2/13*z**2 + 344/13.
-2*(z - 4)*(z + 43)/13
Let b(a) be the first derivative of -a**6/24 + 23*a**5/20 + 33*a**4/4 + 55*a**3/3 + 14*a**2 + 1575. Determine z, given that b(z) = 0.
-2, -1, 0, 28
Let s(k) = -2*k - 2405 + 80*k + 2951. Let a be s(-7). Find m such that a*m + 0 - 4/3*m**4 - 8/3*m**3 - 4/3*m**2 = 0.
-1, 0
Let t = -277/42 - -139/14. Let x(w) be the first derivative of 5*w + t*w**2 + 33 + 5/9*w**3. Factor x(k).
5*(k + 1)*(k + 3)/3
Let k(v) be the first derivative of -29/3*v**4 + 2/3*v**2 + 2*v**3 - 6/5*v**5 - 129 + 0*v + 56/9*v**6. Suppose k(h) = 0. What is h?
-1, -1/8, 0, 2/7, 1
Suppose 0 = -19*g + 9*g. Let r(h) = -h**3 + 8*h**2 - 10*h - 10. Let d be r(6). Let d - 1/2*q**2 + g*q = 0. What is q?
-2, 2
Suppose -106/3*g - 2/9*g**2 + 320/9 = 0. What is g?
-160, 1
Suppose 9 = -3*b + 264*n - 259*n, 0 = -4*b + n + 39. Solve b + 3/7*r**2 + 48/7*r = 0.
-14, -2
Suppose 0 = 2*j - j + 46. Let t = 58 + j. Find u such that -t - 18*u + u**3 - 17*u + u**3 + 21*u = 0.
-2, -1, 3
What is k in 27*k**2 + 0*k + 1/3*k**4 + 0 + 6*k**3 = 0?
-9, 0
Let i be -2*(3/(-2))/(360/480). Let k(q) be the third derivative of -24*q**2 + 1/18*q**i + 1/3*q**3 - 1/90*q**5 + 0*q + 0. Let k(d) = 0. Calculate d.
-1, 3
Let l(z) be the first derivative of z**7/14 + 2*z**6/5 + 9*z**5/20 + 70*z + 48. Let d(y) be the first derivative of l(y). Factor d(c).
3*c**3*(c + 1)*(c + 3)
Let t(j) = 15*j**2 - 5*j + 1. Let o(b) = -32*b**2 + 120*b + 226. Let u(x) = o(x) + 2*t(x). Suppose u(g) = 0. What is g?
-2, 57
Find t such that 32*t**4 + 202*t**2 + 11*t**4 - 41*t**4 + 132 - 38*t**3 - 298*t = 0.
1, 6, 11
Suppose -129/2*g + 16*g**2 + 2 = 0. Calculate g.
1/32, 4
Let d = 64961/40 + -8107/5. Solve 9/4 + 33/8*u - d*u**2 = 0.
-3/7, 2
Let p be (-65)/13 + -9 - 1752/(-120). Factor -15*j + 78/5 - p*j**2.
-3*(j - 1)*(j + 26)/5
Factor -55465 + 2052*n - 3*n**2 - 88136 - 207291.
-3*(n - 342)**2
Suppose r + 13 = -4*s + 6*r, 5*s - 40 = -5*r. Let j = 18 - 15. Let 2*g**4 + 7*g**s + g**3 - 5*g**2 - 7*g**4 + 2*g**j = 0. What is g?
0, 1
Let m(s) be the third derivative of -1/560*s**7 - 48/5*s**5 + 256*s**4 + 8*s**2 - 4096*s**3 + 0 + 1/5*s**6 + 0*s. Let m(k) = 0. What is k?
16
Let n(t) = 38*t + 7. Let c be n(5). Determine y, given that 48*y - 209*y**5 + 9 + 42*y**2 - 64*y**4 + 13*y**4 + c*y**5 - 36*y**3 = 0.
-3, -1, -1/4, 1
Let d(f) be the first derivative of -31250*f**4/7 - 6000*f**3 - 501*f**2/7 - 2*f/7 + 275. Factor d(j).
-2*(j + 1)*(250*j + 1)**2/7
Suppose -4*h + 10 = -2*r - 36, 5*r - h + 106 = 0. Let f = r + 23. Let -2*p**f + 15 + 0*p**2 + 2*p - 3 = 0. Calculate p.
-2, 3
Let y(r) = -r**3 + 1 + 2*r**3 - 2. Let d(g) = g**2 - 4*g**3 - g**4 + 3689 - 6*g**3 - 3678 - g. Let j(o) = -2*d(o) - 22*y(o). What is t in j(t) = 0?
-1, 0, 1
Let o(r) = 7*r**3 + 91*r**2 + 90*r - 2. Let z(w) be the first derivative of w**4/2 - w**3/3 - w - 289. Let q(x) = -o(x) + 2*z(x). Factor q(i).
-3*i*(i + 1)*(i + 30)
Let l(s) be the second derivative of -1/50*s**5 + 0*s**2 + 1/30*s**4 + 0 + 29*s + 2/5*s**3. Factor l(m).
-2*m*(m - 3)*(m + 2)/5
Let t(v) be the second derivative of 11/9*v**4 - 176*v + 0*v**2 + 4/3*v**3 + 0 + 4/15*v**5 - 2/45*v**6. Let t(u) = 0. Calculate u.
-1, 0, 6
Let q(f) be the third derivative of -f**8/1680 + f**6/60 + f**5/15 + f**4 + f**2 - 26*f. Let i(l) be the second derivative of q(l). Factor i(v).
-4*(v - 2)*(v + 1)**2
Factor -2*w**2 - w**2 + w**2 - 90*w + 8*w - 383 + 467.
-2*(w - 1)*(w + 42)
Let n(s) be the first derivative of s**5/25 + 3*s**4/10 - s**3/15 - 3*s**2/5 + 1781. Suppose n(r) = 0. Calculate r.
-6, -1, 0, 1
Let n(i) = -6*i**2 - 22*i - 23. Let s be n(-1). Let d be (4 - (-12)/s) + (-18)/9. Solve 10/7*m - d*m**2 - 8/7 = 0 for m.
1, 4
Let a(n) be the third derivative of -1/270*n**5 + 0 + 10/27*n**3 - 12*n + 3*n**2 + 1/36*n**4. Find b, given that a(b) = 0.
-2, 5
Suppose -10*r + 12 = 32. Let h be ((-80)/528 - r/(-11))*0. Factor 26/7*c**4 - 8/7*c**5 + h - 30/7*c**3 + 2*c**2 - 2/7*c.
-2*c*(c - 1)**3*(4*c - 1)/7
Find g, given that -189*g - 187/2*g**2 + 0 + 1/2*g**3 = 0.
-2, 0, 189
Suppose -15*f + 14*f + 9 = 0. Suppose -8680 = -k - f*k. Factor -4*g**2 - k*g + 868*g - 8*g**3 - 4*g**4.
-4*g**2*(g + 1)**2
Suppose -565 + 675 = 35*a + 5*j, -5*j + 46 = 3*a. Let h be ((-3)/22)/((-9)/24). Factor h - 2/11*n**a - 2/11*n.
-2*(n - 1)*(n + 2)/11
Let v(f) = f**2 + 4*f + 4. Let b be v(0). Factor -b*k**2 + k - 2*k**2 + 2*k**2 + 5*k**2.
k*(k + 1)
Let t = 4052 + -4049. Let n(g) be the first derivative of -t*g**3 - 27 + 6*g**2 - 3/4*g**4 + 0*g. Factor n(c).
-3*c*(c - 1)*(c + 4)
Let 5/2*n**5 + 0 - 345/2*n**3 - 250*n - 925/2*n**2 + 85/2*n**4 = 0. Calculate n.
-20, -1, 0, 5
Let v(i) = 76*i**2 - 2764*i - 64. Let n(q) = -24*q**2 + 922*q + 20. Let g(o) = -16*n(o) - 5*v(o). Factor g(b).
4*b*(b - 233)
Factor -102/11*c**2 + 104/11*c**3 + 0 + 0*c - 2/11*c**4.
-2*c**2*(c - 51)*(c - 1)/11
Let l(s) be the second derivative of s**7/56 - 2*s**6/5 + 27*s**5/10 - 37*s**4/8 - 73*s**3/8 + 135*s**2/4 + 2692*s. Let l(g) = 0. What is g?
-1, 1, 2, 5, 9
Let k = 20 + -48. Let a = k - -36. What is g in -4*g**4 + 10*g**2 + 17*g**2 - 4*g**3 + 4*g - 15*g**2 - a = 0?
-2, -1, 1
Find o such that 8848/9*o - 9785888/9 - 2/9*o**2 = 0.
2212
Let j be (37962/(-432) + 88)/((-2)/(-80)). Let y = 55/6 + -20/3. Let 0 - 1/2*o**3 - y*o**j + 4*o**4 + 0*o - o**2 = 0. Calculate o.
-2/5, 0, 1
Let b(s) be the third derivative of 137*s**5/60 + s**4/12 + s**3/6 - 15*s**2. Let p be b(-1). Factor -p*d**4 - 2*d**3 + d**5 + d - 3 + 138*d**4 - 4*d**2 + 5.
(d - 1)**2*(d + 1)**2*(d + 2)
Suppose 0 = -4*u + 2514 - 6626. Let k = -506 - u. Determine r so that k*r**3 - 2*r**5 - 15*r**4 - 9*r**2 - 543*r**3 - r**5 = 0.
-3, -1, 0
Let x be (-8)/18 + 324/729. Let m(y) be the third derivative of 0*y + y**2 + x*y**4 + 0 - 1/150*y**5 + 0*y**3 + 1/300*y**6. Factor m(n).
2*n**2*(n - 1)/5
Let h(z) be the third derivative of 0 + 2/315*z**7 + 1/45*z**6 + 0*z**3 - 107*z**2 + 0*z + 1/45*z**5 + 0*z**4. Factor h(f).
4*f**2*(f + 1)**2/3
Let u be (2 - 6/4)*(6 + 2). Let v be (-28)/(-2) + (u - 8). Factor 3*t + 13*t + 4*t**2 - v*t + 6*t + 8.
4*(t + 1)*(t + 2)
Let q(w) be the third derivative of -4*w**5/165 + 167*w**4/132 + 7*w**3/11 + 2063*w**2. Suppose q(v) = 0. Calculate v.
-1/8, 21
Find p such that 15*p**3 - 93756 - 85*p + 250*p**2 + 93756 = 0.
-17, 0, 1/3
Suppose 0*f - f = 2*h - 519, -3*f = -3*h + 792. Let -h*q - 274*q - 5*q**3 + 170*q**2 - 3240 - 725*q = 0. Calculate q.
-2, 18
Let q be ((-1071)/612)/((-700)/240). What is l in -29/5*l**2 + q + 26/5*l = 0?
-3/29, 1
Let q(s) be the first derivative of -s**6/6 - s**5/5 + 3*s**4/4 + s**3/3 - s**2 - 13759. Solve q(l) = 0.
-2, -1, 0, 1
Suppose -837*m + 188*m - 1476 + 8787 = 1788*m. Solve 428717762/9*f**4 + 968/9*f + 58564/3*f**2 + 14172488/9*f**m + 2/9 = 0.
-1/121
Determine b, given that -26/15*b**2 - 332/15 - 2162/15*b = 0.
-83, -2/13
Solve 57/2*h - 1/2*h**3 + 8*h**2 + 0 = 0 for h.
-3, 0, 19
Let z(r) = -2*r**2 - 320*r + 3. Let y be z(0). Let d(l) be the first derivative of -3/2*l**2 - 11 + l**y + 0*l. Factor d(n).
3*n*(n - 1)
Let d(b) = 8*b + 65. Let j be d(-16). Let g be j/(-14) - (-4 - -7). Find n, given that -24*n**4 - 3/2*n + 0 + 24*n**3 + g*n**2 = 0.
-1/4, 0, 1/4, 1
Let i = 322927 + -322923. Let 3*j**5 - 27/4*j**3 - 3/2*j**2 + 0*j + 0 - 9/4*j**i = 0. Calculate j.
-1, -1/4, 0, 2
Let y(a) = 10*a**4 - 24*a**3 + 128*a. Let p be 7/14 + ((-39)/(-6) - 1). Let h(m) = -19*m**4 + 6*m**4 + 6*m**4 + p*m**4. Let t(f) = -6*h(f) - y(f). Factor t(k).
-4*k*(k - 4)**2*(k + 2)
Factor 2/11*w**2 - 10568/11*w + 13960328/11.
2*(w - 2642)**2/11
Let t be 364/98 + (-200)/280. Factor 8*z + 8/3*z**3 - 22/3*z**2 - t - 1/3*z**4.
-(z - 3)**2*(z - 1)**2/3
Let z(d) be the second derivative of 3/5*d**2 + 7/20*d**4 - 1 + 7/10*d**3 + 29*d + 3/50*d**5. Factor z(m).
3*(m + 1)*(m + 2)*(2*m + 1)/5
Let z(w) be the first derivative of -76 + 0*w - 2/45*w**5 - 4/27*w**3 - 1/6*w**4 + 0*w**2. Factor z(n).
-2*n**2*(n + 1)*(n + 2)/9
Let q = -851 + 857. Let z be q*(-8)/(-96)*0. Factor z + 9/4*w**3 - 3/4*w**2 - 9/4*w + 3/4*w**4.
3*w*(w - 1)*(w + 1)*(w + 3)/4
Let x be (-4 - 286/165)/((-9)/15). Let z = x + -74/9. Factor 10*u + 14/3 + z*u**2.
2*(u + 7)*(2*u + 1)/3
Suppose -49*g + 59*g = -800. Let r be 0 + -2 + g/(-38). Factor r*n**3 + 6/19*n**2 - 18/19*n + 10/19.
2*(n - 1)**2*(n + 5)/19
Let -2/15*v**2 + 32 