*4/3 - 44*a**2 + a - 25. Let o(q) be the first derivative of f(q). Find w such that o(w) = 0.
0, 1, 2
Let q(x) = -18*x**2 - 37*x + 23. Let h(n) = -n**2 + 3. Let u(k) = 18*h(k) - 2*q(k). Solve u(g) = 0 for g.
-4, -1/9
Let v = -321998/5 + 64400. Factor -2/5*g + v*g**2 + 0.
2*g*(g - 1)/5
Let u(s) be the third derivative of s**8/1680 + 121*s**7/1260 - 41*s**6/90 + 73*s**5/30 - 36*s**2 - 2. Let g(q) be the third derivative of u(q). Factor g(n).
4*(n + 41)*(3*n - 2)
Let d(c) = 38*c**2 - 2254*c + 33. Let g(w) = 7*w**2 - 451*w + 6. Let q(v) = -4*d(v) + 22*g(v). Factor q(o).
2*o*(o - 453)
Let l(i) be the third derivative of 1/2520*i**8 + 4*i**2 + 0*i + 5 - 4/225*i**5 - 7/180*i**4 + 2/1575*i**7 - 2/45*i**3 - 1/450*i**6. Factor l(h).
2*(h - 2)*(h + 1)**4/15
Suppose 0 = -23*u + 26*u - 9. Factor -q**3 - q**4 - q**4 + u*q + 10*q**3 + 3*q**2 - 13*q**2.
-q*(q - 3)*(q - 1)*(2*q - 1)
Let b(j) = -230*j - 25 + 5*j**2 + 100*j + 106*j. Let s be b(-1). What is r in -12*r**3 + 20/3*r**2 - 28/3*r**s + 12*r + 8/3 = 0?
-1, -2/7, 1
Let j(g) be the third derivative of 1/20*g**5 + 0*g**4 + 0 + 40*g**2 - 17/3*g**3 + 0*g - 1/180*g**6. Let z(q) be the first derivative of j(q). Factor z(d).
-2*d*(d - 3)
Let o(x) = -20*x**4 + 140*x**3 + 264*x**2 + 288*x + 72. Let p(n) = -n**4 + 3*n**3 + 3. Let i(k) = -o(k) + 24*p(k). Factor i(c).
-4*c*(c + 2)*(c + 3)*(c + 12)
Let q = 13 - 9. Let r(x) = -7*x + 2*x**4 + 8*x + 5*x**q - x**3 + x**2. Let c(t) = -t**4 + t**3 - t**2 - t. Let w(u) = 4*c(u) + r(u). Factor w(p).
3*p*(p - 1)*(p + 1)**2
Let a(f) be the first derivative of 21*f**4/10 - 43*f**3/15 + f**2/10 + 675. Let a(d) = 0. What is d?
0, 1/42, 1
Find b such that -2064*b**2 + 196*b**3 - 202*b**3 + 2*b**5 + 178*b**4 + 608*b**2 + 386*b**3 - 4*b**5 = 0.
-4, 0, 2, 91
Suppose 15*u = 24*u - 27. Let y = 128/19 - -1/76. Factor y*l**2 + 0 + 21/4*l**u + 3/2*l.
3*l*(l + 1)*(7*l + 2)/4
Let x = 36586 - 109750/3. What is v in x*v - 8/3 + 2*v**4 + 14/3*v**2 - 20/3*v**3 = 0?
-2/3, 1, 2
Factor -257*a**2 - 464*a**2 - 572*a**3 + 237*a**2 - 4*a**5 - 92*a**4.
-4*a**2*(a + 1)*(a + 11)**2
Let 785*h + 415/3*h**2 + 5/3*h**3 + 1155 = 0. What is h?
-77, -3
Factor -29404*z**2 + 14363*z**2 - 560*z - 155*z**3 + 15*z**4 + 14311*z**2.
5*z*(z - 14)*(z + 1)*(3*z + 8)
Let w(g) be the second derivative of -g**4/114 + 46*g**3/57 - 129*g**2/19 + 2166*g. Let w(n) = 0. What is n?
3, 43
Suppose 7594*c - 7720*c + 126 = -882. Factor 38/3*n**2 - c*n + 0 - n**3.
-n*(n - 12)*(3*n - 2)/3
Let d(t) = -4 - 3*t**2 + 22*t + 2*t**2 + 8 - 1 + 3*t**2. Let h be d(-11). Factor -2/3*m**4 - 4/3*m**h + 4/3*m + 0*m**2 + 2/3.
-2*(m - 1)*(m + 1)**3/3
Suppose -1008*a**3 + a**4 - 32*a**2 - 1031*a**3 + 2070*a**3 = 0. Calculate a.
-32, 0, 1
Let b(f) = -f**2 + 52*f - 2. Let s be b(0). Let w be (s/1)/((-3)/24). Determine t so that -4/5*t**2 - 80 - w*t = 0.
-10
Let v(n) be the first derivative of 11/42*n**6 + n**4 + 0*n**2 - 4/21*n**3 + 0*n + 163 - n**5. Determine g so that v(g) = 0.
0, 2/11, 1, 2
Let l(c) be the third derivative of c**5/15 - 372*c**4 + 830304*c**3 - 16*c**2 - 114. Determine g, given that l(g) = 0.
1116
Determine d, given that 2/7*d**2 + 174/7*d - 176/7 = 0.
-88, 1
Suppose 0 = 3*w + m + 4*m - 5, 5*w - 5*m = -5. Let s(p) = -p**3 - 7*p**2 + 23 - 14 + w*p**3. Let h(q) = -2*q**2 + 2. Let z(o) = 9*h(o) - 2*s(o). Factor z(l).
2*l**2*(l - 2)
Let m = -16/179 + 3887/1432. Let g(w) = -15*w**2 - 1124*w + 77. Let o be g(-75). Let 9/4*r**o - 3/8*r + 0 + m*r**3 = 0. Calculate r.
-1, 0, 1/7
Suppose 16 - 56 = -4*o. Suppose o*c**4 - 2*c - 3*c**2 + 9*c**3 - 5450 + 5450 = 0. What is c?
-1, -2/5, 0, 1/2
Let s(y) = -56*y + 3924. Let j be s(70). Let l(q) be the second derivative of 0 + 1/5*q**5 - 4/3*q**3 - 28*q + 0*q**2 - 1/3*q**j. Factor l(r).
4*r*(r - 2)*(r + 1)
Let t(g) = 6*g - 58. Let l be t(11). Factor 10*v**3 - l*v**3 - 3*v**2 + 96*v + 8*v**2 - 128 + 25*v**2.
2*(v - 1)*(v + 8)**2
Suppose -101*w + 103*w + 26 = 17*t, 0 = 5*t + w - 14. Factor 0*y - 8/9*y**3 + 0 - 2/3*y**t - 2/9*y**4.
-2*y**2*(y + 1)*(y + 3)/9
Suppose -148*g + 163*g = 16260. Let x = g + -1082. What is t in -4/5*t - 28/5*t**x + 4/5*t**4 + 28/5*t**3 + 8/5 - 8/5*t**5 = 0?
-2, -1/2, 1
Determine h so that -8*h**2 - 36 + 350/11*h + 6/11*h**3 = 0.
2, 11/3, 9
Factor -28*k + 4*k**3 + 4*k - 29*k + 2*k + 28 - k + 20*k**2.
4*(k - 1)**2*(k + 7)
Suppose 5*q = x + 79, 2*q - 34 = -0*q - 2*x. Suppose 12 = 7*g - q. Find t, given that -17*t**g + 8*t**4 + 3*t**5 + 0 + 6*t**3 + 0 = 0.
0, 1, 2
Let n = -261583 + 261586. Factor 10*i + 8/3*i**2 + 2/9*i**n + 12.
2*(i + 3)**2*(i + 6)/9
Let o(h) = 19*h**3 + 299*h**2 - 258*h - 10. Let z(f) = 25*f**3 + 398*f**2 - 345*f - 13. Let w(c) = 13*o(c) - 10*z(c). What is g in w(g) = 0?
-32, 0, 1
Let t = 3611 + -3562. Let h(j) be the first derivative of 7*j**2 - 17 - t*j - 1/3*j**3. Factor h(x).
-(x - 7)**2
Let c(b) = b**2 - 5*b - 17. Let k be c(8). Factor -7*i**3 - 144*i - 24*i**2 + 9*i**4 - 14*i**4 - k*i**4 + 59*i**3 + 160.
-4*(i - 2)**3*(3*i + 5)
Suppose 4084 = 1221*r - 200*r. Suppose 0*n**2 + 1/4*n**4 - n**3 - r + 4*n = 0. Calculate n.
-2, 2
Let l be -5 - (1863/54 - 41). Factor 0 - 9/2*v**2 + 5*v**3 - l*v**4 + v.
-v*(v - 2)*(v - 1)*(3*v - 1)/2
Let h(a) be the first derivative of 6 - 22/3*a**3 - 8*a + 12*a**2 + 3/2*a**4. Factor h(y).
2*(y - 2)*(y - 1)*(3*y - 2)
Let j = -10785639/8 - -1348205. Let -3/2*r - j*r**2 - 9/2 = 0. Calculate r.
-6
Suppose -72 = -11*a + 9*a. Let m be (1 + (-45)/a)*256/(-12). Find l, given that -2/3*l**3 - m*l**2 - 32/3 - 40/3*l = 0.
-4, -2
Let h(r) be the third derivative of -r**5/90 + r**4/9 + 95*r**3/3 + 224*r**2. Solve h(f) = 0.
-15, 19
Let u(l) = -l**5 - l**4 + l**2 + 2*l + 1. Let m(o) = 3*o**5 - 3*o**4 + 6*o**2 - 12*o - 6. Let d = 390 - 391. Let y(f) = d*m(f) - 6*u(f). Factor y(v).
3*v**2*(v - 1)*(v + 2)**2
Let i be 2 - 0*7/56. Suppose 5*t**5 + 67*t**i + 50*t**4 - 20*t - 25*t**4 - 92*t**2 + 15*t**3 = 0. What is t?
-4, -1, 0, 1
Suppose 2*b - 23 - 3 = -4*q, 0 = -5*b + 3*q. Suppose -10 = -b*u - 1. Suppose 4*z**3 + 0*z**2 + 3*z**2 - 5*z**3 - 2*z**u = 0. Calculate z.
0, 1
Suppose -2*m - 1 + 3 = 0. Let a be 8 + 2 - (3 + m). Let -2*c**5 - 15*c - 51*c**3 + 6 + 63*c**3 + 5*c**5 + a*c**2 - 12*c**4 = 0. Calculate c.
-1, 1, 2
Let a(t) be the second derivative of t**5/110 + 40*t**4/33 + 51*t**3/11 - 234*t**2/11 + 25*t - 115. Solve a(r) = 0 for r.
-78, -3, 1
Suppose -9073*r = -9043*r. Let t(i) be the third derivative of -37/120*i**4 + 0*i + 16*i**2 - 7/300*i**5 + r - 1/3*i**3. Factor t(j).
-(j + 5)*(7*j + 2)/5
Suppose m - 3537 = -4*s - 342, 4*m + 820 = s. Let c = s - 797. Let 0 + 4/11*r**c + 2/11*r**4 - 4/11*r - 2/11*r**2 = 0. What is r?
-2, -1, 0, 1
Let u be 9500/3230 - (-2)/34. Let i(q) be the first derivative of q - 7*q**2 + 11 + 49/3*q**u. Factor i(b).
(7*b - 1)**2
Let b(k) = 6*k**2 - 48*k - 4. Let m(c) = 5*c**2 - 48*c - 3. Let h(g) = 3*b(g) - 4*m(g). Let h(l) = 0. What is l?
0, 24
Let x(a) be the second derivative of -a**4/3 - 34*a**3/3 - 45*a - 7. Factor x(j).
-4*j*(j + 17)
Let a(m) be the third derivative of m**8/280 - 2*m**7/525 - m**6/100 + m**5/75 + 955*m**2. What is z in a(z) = 0?
-1, 0, 2/3, 1
Let f(t) be the second derivative of 0 - 1/12*t**4 - 338*t**2 + 26/3*t**3 + 24*t. Determine j, given that f(j) = 0.
26
Factor -1/9*m + 1/9*m**2 - 140/3.
(m - 21)*(m + 20)/9
Let m = -8963 + 8994. Let q(i) be the first derivative of -2*i**2 + m + 0*i - 4/3*i**3. Solve q(w) = 0 for w.
-1, 0
Let u(g) = 2*g**2 + g - 2. Suppose -q = 2 - 0. Let z be u(q). What is w in -w**2 + 2*w**2 - z*w**2 + 0*w**3 - 3*w**3 = 0?
-1, 0
Suppose 14*z - 13*z = 1. Let l be (3/3)/((-3)/6 + z). Find r, given that -48*r + 11*r**3 - 3*r**4 - 24*r**2 + 48 + 24*r**l + r**3 = 0.
-2, 2
Factor 120409/3 + 1/3*l**2 + 694/3*l.
(l + 347)**2/3
Let z(y) = 3*y**2 + 12*y - 6. Let b be z(-5). Factor -3*c + 2*c - c**2 - 5*c + 16 - b*c.
-(c - 1)*(c + 16)
Let a be ((-26)/(-260))/(99/1584). Let x(h) = -h**3 + 5*h**2 - 4*h + 2. Let n be x(4). Solve -a - n*j - 2/5*j**2 = 0.
-4, -1
Let h(g) be the third derivative of -g**6/540 + 23*g**5/135 - 209*g**4/108 + 164*g**3/27 + g**2 + 5*g + 43. What is q in h(q) = 0?
1, 4, 41
Let g(n) be the third derivative of 64/21*n**3 + 5 + 1441/210*n**5 - 23*n**2 + 0*n - 52/7*n**4 + 13/14*n**6 + 5/147*n**7. Solve g(p) = 0.
-8, 1/5
Let k be 4/(-62) - (2 - 5360/(-2790)*-2). Facto