 Solve q(z) = 0.
-2, 0
Let m(f) = 2*f**3 - 8*f - 9. Let o be m(-1). Let r be 15/o*5/(750/(-84)). Determine w so that -2*w**2 + r*w - 4/5 = 0.
2/5, 1
Let i(k) = -k**3 - 2*k**2 + 9*k + 20. Let j be i(-3). Factor -6*h**2 - 162*h + 160*h + h**2 - j*h**3 + 9*h**2.
-2*h*(h - 1)**2
Let w be ((-136)/(-1054))/(130/2015). Determine s so that 0 + 0*s**4 - 1/5*s**5 - 1/5*s + 2/5*s**3 + 0*s**w = 0.
-1, 0, 1
Let o(v) be the first derivative of v**6/4 + 18*v**5/5 - 21*v**4/2 + v**3 + 81*v**2/4 - 21*v - 147. Solve o(c) = 0.
-14, -1, 1
Let o(r) = r**2 + 6*r + 4*r**2 - 2*r - 2*r**2. Let k(z) = -76 + 218 - 4*z**2 - 72 - 5*z - 70. Let d(g) = -2*k(g) - 3*o(g). Factor d(m).
-m*(m + 2)
Let t(b) be the third derivative of b**6/150 + b**5/15 - 11*b**4/15 + 32*b**3/15 - 224*b**2 - 3. Solve t(c) = 0 for c.
-8, 1, 2
Let g(k) = 7*k**2 - k. Let n(z) = -480*z**2 - 852*z + 96. Let l(s) = -4*g(s) - n(s). Factor l(u).
4*(u + 2)*(113*u - 12)
Let o(i) be the third derivative of i**6/420 - 214*i**5/35 + 227*i**2 + 2*i + 2. Suppose o(k) = 0. What is k?
0, 1284
Suppose 1/3*k**4 - 44/3*k**2 + 5/3*k**3 + 0 + 20*k = 0. Calculate k.
-10, 0, 2, 3
Suppose 0 = 796*f - 803*f - 7. Let p be (-36)/(-96) + (3/(-24))/f. Factor -p - 3/2*b - 3/2*b**2 - 1/2*b**3.
-(b + 1)**3/2
Suppose 40*q**3 - 28*q**2 + 74*q**4 + 5*q**5 - 49*q - 71*q + 75*q - 22*q**2 - 24*q**4 = 0. Calculate q.
-9, -1, 0, 1
Suppose -4*f + 3*f = -2, 3*f = 4*o + 574. Let k = o + 144. Factor 0 + 0*m**k + 4/3*m**5 + 0*m + 4/3*m**3 + 8/3*m**4.
4*m**3*(m + 1)**2/3
Find m such that -192/5*m**2 + 128/5*m + 32/5*m**4 + 6/5*m**5 - 24/5*m**3 + 0 = 0.
-4, 0, 2/3, 2
Suppose -179*z + 381*z = 333*z - 393. Let -21 + 48/7*d**z + 48*d - 3/7*d**4 - 234/7*d**2 = 0. What is d?
1, 7
Factor -48 + 82*t + 0*t**3 + 86*t - 144*t + 3*t**3 + 21*t**2.
3*(t - 1)*(t + 4)**2
Let s(p) be the third derivative of -p**7/1575 + p**6/90 - p**5/50 - 1950*p**2. Suppose s(w) = 0. Calculate w.
0, 1, 9
Suppose -74*r + 71*r + t = -15, 0 = 3*r + 3*t + 21. Factor -50/7*i**r - 286/7*i + 338/7 - 2/7*i**3.
-2*(i - 1)*(i + 13)**2/7
Let h = -32 + 32. Let q be h + 0 + (-48)/(-3). Factor -4*s**5 - 4*s - 13*s**2 + 564*s**3 - 8*s**2 - 588*s**3 - q*s**4 + 5*s**2.
-4*s*(s + 1)**4
Determine i, given that -26 - 54*i + 68*i + 61 - 2*i**3 - 27 - 5*i**2 + 9*i**2 = 0.
-1, 4
Suppose 0 = -5*r - s + 20, s - 14 + 44 = 5*r. Factor 11*x**2 + 0*x**2 - x**2 - 5*x**3 - r*x**2 + 30*x.
-5*x*(x - 3)*(x + 2)
Let y be (-18)/(-33)*(-35024)/(-4776). Determine g so that -75/4*g**3 + 13*g**y + 7/2*g**2 + 0 + 9/4*g**5 + 0*g = 0.
-7, 0, 2/9, 1
Let l(o) be the first derivative of 3*o**5/40 + 21*o**4/32 - 15*o**3/4 + 3*o**2/4 + 15*o + 5986. Solve l(w) = 0 for w.
-10, -1, 2
Let k(r) be the third derivative of -44*r**2 - 1/30*r**5 - 11/12*r**4 - 6*r**3 + 0*r + 0. Factor k(b).
-2*(b + 2)*(b + 9)
Let z(w) = -w**3 - 8*w**2 + w + 11. Let j be z(-8). Suppose -j*m - 3 = 4*a, 0 = -5*a + m - 14 + 34. Factor 6*h**2 + h**4 - 2*h**a - 2*h**4 - 5*h**2 + 2*h**4.
h**2*(h - 1)**2
Let m(f) = -337*f**3 - f - 2. Let c be m(-1). Let x = -2350/7 + c. Factor -8/7 - 8/7*w - x*w**2.
-2*(w + 2)**2/7
Let k = 12584 + -12580. Let m(c) be the second derivative of -c**2 + 5/24*c**k + 35*c + 0 + 2/3*c**3. Factor m(z).
(z + 2)*(5*z - 2)/2
Let p be ((-2)/(-14) + 12/63)*0. Let l(f) be the third derivative of 0*f + p - 1/120*f**5 - 12*f**2 - 1/120*f**6 + 1/6*f**4 + 1/3*f**3. Factor l(y).
-(y - 2)*(y + 2)*(2*y + 1)/2
Let p(o) be the first derivative of -o**5/20 - 115*o**4/16 - 93*o**3/2 - 221*o**2/2 - 110*o + 6941. Suppose p(a) = 0. What is a?
-110, -2, -1
Let r = 288 + -285. Suppose 2*m**5 - 38*m**4 + 12*m + 10*m + 20*m**2 + 0*m - 24*m**r + 18*m**4 = 0. Calculate m.
-1, 0, 1, 11
Let s(l) = 14*l**3 - 26*l**2 + 34*l + 446. Let j(r) = 3*r**3 + r**2 - 3*r - 4. Let k(n) = -4*j(n) + s(n). Factor k(m).
2*(m - 11)*(m - 7)*(m + 3)
Let w = -8 + 15. Suppose -45 = -53*d + 52*d. Factor w*u**2 + 21 - 4*u**2 - 30*u + 9 + d.
3*(u - 5)**2
Let w(m) be the second derivative of 9/2*m**2 + 27/80*m**5 - 2*m**3 - 5/16*m**4 - 1/56*m**7 + 1/40*m**6 + 99*m + 0. Find i, given that w(i) = 0.
-2, 1, 3
Let o = -3779 + 3788. Let p(v) be the third derivative of -39*v**2 + 0*v - o*v**3 + 1/40*v**6 + 0 - 2/5*v**5 + 21/8*v**4. Determine q, given that p(q) = 0.
2, 3
Let b(s) = -7*s**2 + 43*s + 82. Let t(i) = -45*i**2 + 260*i + 492. Let d(f) = 39*b(f) - 6*t(f). Factor d(n).
-3*(n - 41)*(n + 2)
Let s(f) be the third derivative of -1/120*f**6 + 0*f - 4 + 0*f**3 + f**2 - 5/12*f**4 + 11/60*f**5. What is a in s(a) = 0?
0, 1, 10
Let o be (-103536)/(-11520) - (-15)/(-80). Factor 0*n - 72/5*n**3 + 0*n**2 + 0 - o*n**4 - 4/5*n**5.
-4*n**3*(n + 2)*(n + 9)/5
Let d be (2/4)/(2/72). Suppose -5*f = 2*v - 28, d - 10 = 3*f - v. Suppose -2*i**2 + 0*i**3 + 3/2*i**f + 0 - 1/2*i**5 + 0*i = 0. Calculate i.
-1, 0, 2
Let v be (-6)/(-24) - (-1)/(-4). Suppose v = 7*l + 24 - 136. Solve l*i + 4*i**3 - 8*i - 2*i**5 - 10*i = 0.
-1, 0, 1
Let g(b) = 16*b + 8*b - 31 - 7*b + b**3 + 15*b**2 + 75. Let h be g(-14). Determine a, given that -72/11*a**h + 2/11*a**3 + 864/11*a - 3456/11 = 0.
12
Let c be -4 - ((-291)/18 + ((-40)/6)/20). Determine w so that c*w + 0 + 5/2*w**2 = 0.
-5, 0
Let h(y) be the second derivative of 3*y + 4 + 7/12*y**4 + 3/40*y**5 + 17/12*y**3 + 3/2*y**2. Factor h(w).
(w + 1)*(w + 3)*(3*w + 2)/2
Let k be 4/(-66)*(2/16 - (-1125)/(-360)). Find p, given that k*p - 2/11*p**2 + 12/11 = 0.
-2, 3
Let 361/3 + 988/3*m + 676/3*m**2 = 0. What is m?
-19/26
Suppose 5 = -3*n + 20. Suppose -54*o = -56*o + 10. Suppose c - n*c**2 + o*c - 10*c - c = 0. Calculate c.
-1, 0
Let x be (11 + ((-296)/88 - 8))*-11. Let o(l) be the second derivative of 0*l**2 + 0 + 1/12*l**3 - 28*l + 1/48*l**x. Factor o(b).
b*(b + 2)/4
Let y(d) be the first derivative of d**4/12 + 8*d**3/3 + 15*d**2/2 + 86*d - 63. Let x(h) be the first derivative of y(h). Suppose x(z) = 0. Calculate z.
-15, -1
Let c = -1357 + 1356. Let x be ((-115)/(-20) - 6)/(c/6). Determine r so that -x*r - 1/2*r**4 + 0 + 3/2*r**3 + 1/2*r**2 = 0.
-1, 0, 1, 3
Let x(p) be the first derivative of -2*p**6/9 - 52*p**5/15 - 62*p**4/3 - 512*p**3/9 - 64*p**2 + 1086. What is k in x(k) = 0?
-4, -3, -2, 0
Let x(b) be the first derivative of -b**5/30 + 5*b**4/6 + 23*b**2 + b + 17. Let p(v) be the second derivative of x(v). Solve p(f) = 0 for f.
0, 10
Let x be (((-32)/6)/(-2))/(14/21). Suppose 0 = 2*w + x, -l - 4*l - 2*w = -16. Let 31 + h - 2*h**3 + l*h**2 + 3*h**5 - 33 - 2*h**4 - 2*h**5 = 0. What is h?
-1, 1, 2
Suppose -4 + 36 = 4*i. Let -8*s + i*s**2 + 0*s + 0*s + 4*s**2 - 4*s**4 = 0. What is s?
-2, 0, 1
Let w(l) be the first derivative of -l**4/6 + 70*l**3/3 - 1225*l**2 + 156*l + 150. Let h(c) be the first derivative of w(c). Factor h(o).
-2*(o - 35)**2
Suppose 2*i - 1640 + 1612 = 0. Suppose -4*j - 3*x + 6 = -3*j, -3*j + i = 5*x. Factor 0 + 6/5*q**j + 2*q**2 + 4/5*q.
2*q*(q + 1)*(3*q + 2)/5
Let d be 4/6*(-7 - (-10 - 0)). Suppose 0 = p - 4*s + 9, d*p - 3 = 4*s - 9. Factor -p*x**2 - 1/4*x**3 - 12*x - 16.
-(x + 4)**3/4
Suppose -25*z - 5*v + 15 = -24*z, 3*z + 19 = v. Let l be (-87)/(-27) - (z - (-18 + 10)). Suppose -4/9 + 4/9*s**2 - 2/9*s + l*s**3 = 0. Calculate s.
-2, -1, 1
Let r(v) be the third derivative of -v**5/30 + 79*v**4/12 - 230*v**3 + 327*v**2 + 5. Factor r(c).
-2*(c - 69)*(c - 10)
Let i(q) be the second derivative of 14 - 4/3*q**2 + 4*q + 4/9*q**3 - 1/18*q**4. Factor i(u).
-2*(u - 2)**2/3
Factor -28894*d - 8148*d - 4*d**3 - 97163 + 3202*d + 26475 + 744*d**2.
-4*(d - 94)**2*(d + 2)
Let o be 1 - (0 - (-42522)/462). Let p = -636/7 - o. Factor -1/11*z**3 + p + 1/11*z - 2/11*z**2.
-(z - 1)*(z + 1)*(z + 2)/11
Let c(b) be the third derivative of b**7/840 + 7*b**6/480 + b**5/24 - b**2 + 666. Find n, given that c(n) = 0.
-5, -2, 0
Suppose 4*t - 140 = -2*i, -294 + 59 = -4*i + t. Suppose -4*a - 4 = -i. Solve -68 + a*w + 22*w + 4*w**3 + 52 - 24*w**2 = 0 for w.
1, 4
Let p be -8 + 6*1177/264 - 16. Factor -2*j + p*j**4 - 27/4*j**3 + 25/4*j**2 + 0 - 1/4*j**5.
-j*(j - 8)*(j - 1)**3/4
Factor -4/3*w**2 + 16/3*w + 0 - 2/3*w**3.
-2*w*(w - 2)*(w + 4)/3
Let x(i) = 5*i**2 + 201*i + 400. Let t(d) = 3*d. Let u(q) = -3*t(q) - x(q). Factor u(a).
-5*(a + 2)*(a + 40)
Let w = 2736 + -2736. Let c(m) be the third derivative of 9/8*m**4 - 7/20*m**5 - 7*m**2 - m**3 + 0 + w*m. Factor c(n).
-3*(n - 1)*(7*n - 2)
W