/100 - 131*c**4/30 + 17161*c**3/30 - 247*c + 4. Let h(a) = 0. Calculate a.
0, 131
Let w(d) be the second derivative of d**4/3 + 134*d**3/3 - 136*d**2 + 81*d - 1. Determine n, given that w(n) = 0.
-68, 1
Let w be ((-12)/(-5))/(12*(-11)/(-220)). Let m(f) be the second derivative of 1/6*f**w - 16*f - 3*f**2 + 0 - 2/3*f**3. Factor m(y).
2*(y - 3)*(y + 1)
Let m(c) = -24*c**3 - 80*c**2 + 144*c + 228. Let a(q) = -17*q**3 - 81*q**2 + 143*q + 228. Let b(w) = -4*a(w) + 3*m(w). Factor b(z).
-4*(z - 19)*(z - 3)*(z + 1)
Let r be 2/8 - (2 - 190/8). Determine w so that 24*w**2 + 0*w - r*w**2 - 14*w = 0.
0, 7
Let y(i) be the third derivative of -2*i**7/105 + 3*i**6/10 - i**5/5 - 37*i**4/6 - 16*i**3 + 33*i**2 + 8*i. Solve y(g) = 0.
-1, 3, 8
Let x(u) be the first derivative of -5*u**3/3 - 125*u**2 + 930. Find z, given that x(z) = 0.
-50, 0
Let d(a) = -2*a - 12. Let s be d(-12). Suppose k - s = -2*k. Factor 2*p**2 - 2*p**2 + 4*p**2 - k*p + 2*p**3 - 2*p**2.
2*p*(p - 1)*(p + 2)
Let y be ((-3)/(27/6))/((-1)/(-3)). Let i be -4*(-10)/(-200) + y/(-5). Factor -1/5 + 0*p + i*p**2.
(p - 1)*(p + 1)/5
Let t be 60/130*-104*24/(-576). Solve 2/3 - 1/3*i**t - 1/3*i = 0.
-2, 1
Let y(s) be the first derivative of s**3/8 - 219*s**2/16 + 945*s/4 - 5391. Factor y(z).
3*(z - 63)*(z - 10)/8
Find z such that 16*z**2 - 878*z**4 + 873*z**4 - 11*z**2 = 0.
-1, 0, 1
Let c be -40 - -43 - (4/(-12))/(1/3). Let b(v) be the first derivative of 5/12*v**c - 16 + 1/3*v**5 + 0*v - 5/9*v**3 - 5/6*v**2. Factor b(m).
5*m*(m - 1)*(m + 1)**2/3
Suppose -4*t = -c + 2*c - 278, 4*t - 1064 = -4*c. Let s = c + -784/3. Factor 5/3*j**2 - j**3 + 0 - s*j.
-j*(j - 1)*(3*j - 2)/3
Let v(t) be the third derivative of t**8/1344 - 19*t**7/420 + 7*t**6/8 - 493*t**5/120 - 1445*t**4/96 - 3630*t**2. Let v(z) = 0. What is z?
-1, 0, 5, 17
Let i(d) be the third derivative of -d**8/1848 - 4*d**7/1155 - d**6/132 - d**5/165 - 145*d**2. Factor i(p).
-2*p**2*(p + 1)**2*(p + 2)/11
Let n(p) be the second derivative of -p**4/6 - 56*p**3/3 + 305*p**2 - 671*p. Factor n(v).
-2*(v - 5)*(v + 61)
Let c(q) = 2*q + 8. Let s be c(2). Let z be 124/s + (-4)/12. Solve -15 - r**2 + z + 2*r + 4 = 0.
1
Suppose -114*r + 5 = -95*r - 90. Let g(i) be the second derivative of -8/5*i**2 + 14/15*i**3 + 0 - 5*i - 1/25*i**r - 2/15*i**4. Factor g(s).
-4*(s - 1)**2*(s + 4)/5
Let r(b) be the third derivative of -100489*b**5/120 - 317*b**4/48 - b**3/48 + 2514*b**2. Factor r(o).
-(634*o + 1)**2/8
Let g(c) be the third derivative of c**5/160 - 11*c**4/32 + 121*c**3/16 + c**2 + 981. Determine s, given that g(s) = 0.
11
Let d(q) be the third derivative of 7*q**5/10 - 11*q**4/24 - q**3/2 + 61*q**2 - q. Let d(b) = 0. What is b?
-1/6, 3/7
Let i be (-16)/(-6) + (-28)/(-12) + -2. Let 18*p**3 + 12977*p**2 - i*p**4 - 12950*p**2 + 6*p**4 + 12*p = 0. Calculate p.
-4, -1, 0
Let q(j) be the third derivative of -5*j**8/48 - 47*j**7/42 + 49*j**6/12 + 43*j**5/3 - 175*j**4/3 + 160*j**3/3 - 775*j**2. Solve q(l) = 0.
-8, -2, 2/7, 1, 2
Suppose 0 = -2*g - 4 + 16. Suppose 175*i - g = 172*i. Find m such that -8*m + 8/5 - 14/5*m**3 + 46/5*m**i = 0.
2/7, 1, 2
Determine b, given that -480 + 96*b - 12*b**4 + 0*b**5 - 3*b**5 + 69*b**3 - 8555603*b**2 + 8555933*b**2 = 0.
-4, -2, 1, 5
Let i be 36 + (-47)/((-6251)/(-4750)). Let -2/7*b**3 + i*b + 2 - 2*b**2 = 0. Calculate b.
-7, -1, 1
Suppose 3/7*h**2 + 297/7*h - 300/7 = 0. What is h?
-100, 1
Let v(h) be the third derivative of h**6/30 - 28*h**5/15 + 25*h**4/2 + 319*h**2 + 2. Factor v(w).
4*w*(w - 25)*(w - 3)
Let u = -338539/6 + 115327/2. Factor u*c**2 + 4/3 - 244/3*c.
(61*c - 2)**2/3
Let w(u) = 11*u**2 - 3019*u. Let r(g) = 4*g**2 - 1006*g. Let z(h) = 8*r(h) - 3*w(h). Factor z(a).
-a*(a - 1009)
Let s be 2*-1*(-7)/(-21) - 69286/(-14847). Factor 3/4*u**s + 15/4*u**2 - 9/2*u**3 + 0*u + 0.
3*u**2*(u - 5)*(u - 1)/4
Let c(r) be the second derivative of -5*r**4/36 - 10*r**3/9 + 25*r**2/6 + 554*r. Determine p so that c(p) = 0.
-5, 1
Let q(l) = -l + 2. Let h(b) = 4 + 3*b**2 - 110 + 39*b + 15 - 3 + b**2. Let k(r) = h(r) + 3*q(r). Factor k(x).
4*(x - 2)*(x + 11)
Solve 70*f + 10*f**3 - 3 + 28 + 71*f**2 + 91*f**4 - 8*f**2 - 96*f**4 - 3*f**2 = 0.
-1, 5
Let r be (-10)/3*(-36)/10. Let i(d) = 4*d + 68. Let f be i(-17). Factor -r*j - 2*j**3 - 5*j**2 + 21*j**2 + f*j**3 - 2*j**3.
-4*j*(j - 3)*(j - 1)
Let p be (-2 - 7/(-1)) + -1 + (-2098)/1049. Suppose 9/2*r**5 - 3*r**4 - 3 + 6*r**p + 9/2*r - 9*r**3 = 0. Calculate r.
-1, 2/3, 1
Factor 479 + 1067 - 366 - 216*s - 8*s**2 + 2*s**2 + 2*s**2.
-4*(s - 5)*(s + 59)
Let j be (2 - 1) + 7*(-2)/(-7). Suppose -2*v = 3*u, j*v + 21 - 22 = -5*u. Find w, given that -4/13 - 2/13*w**u - 6/13*w = 0.
-2, -1
Let j(y) be the third derivative of -y**6/30 + 14*y**5/15 - 41*y**4/6 - 112*y**3/3 - 1733*y**2. Let j(x) = 0. Calculate x.
-1, 7, 8
Let h(c) = 13*c**2 + 7040*c - 2478077. Let y(f) = 33*f**2 + 21120*f - 7434232. Let s(k) = 8*h(k) - 3*y(k). Factor s(a).
5*(a - 704)**2
Let f(s) be the third derivative of -s**5/60 + 35*s**4/4 - 3675*s**3/2 - 2*s**2 - 5239*s. What is l in f(l) = 0?
105
Let c be ((-23660)/(-1155))/((-24)/(-44)). Find s, given that 130/3*s + 2/9*s**3 - c - 6*s**2 = 0.
1, 13
Let u(p) be the second derivative of 1/12*p**4 + 7*p + 0*p**2 - 4 + p**3. Suppose u(v) = 0. Calculate v.
-6, 0
Suppose -8492*f + 1/3*f**4 + 42*f**3 + 3569/3*f**2 + 7260 = 0. What is f?
-66, 1, 5
Suppose 5*w + c - 443 = 0, 25*w - 23*w + 4*c = 170. Factor -w*j**2 + 0*j**4 - 24*j**3 - 2*j**4 - 20*j + 47*j**2.
-2*j*(j + 1)**2*(j + 10)
Let h(a) be the first derivative of -2*a**3/15 - 166*a**2 - 68890*a + 751. Find l such that h(l) = 0.
-415
Factor -5298301875 + 103381500*d - 756450*d**2 + 662*d**3 + 1798*d**3 + d**4 - 4*d**4.
-3*(d - 205)**4
Let w(x) be the third derivative of -x**5/180 - 425*x**4/72 + 71*x**3/3 + 381*x**2 + 5*x - 2. Factor w(a).
-(a - 1)*(a + 426)/3
Determine w so that 144/7*w**4 + 0 + 334/7*w**3 + 0*w + 2*w**5 + 12*w**2 = 0.
-7, -3, -2/7, 0
Let t(b) be the third derivative of b**8/504 + b**7/315 - b**6/30 + 60*b**2 - b. Factor t(m).
2*m**3*(m - 2)*(m + 3)/3
Determine r, given that 2822/9*r**3 - 658/3*r**2 - 8/9 - 578/9*r**4 - 262/9*r = 0.
-1/17, 1, 4
Solve -2/9*q**3 - 2/9*q**4 + 1/9*q**5 + 1/9*q - 2/9 + 4/9*q**2 = 0.
-1, 1, 2
Let l(p) be the second derivative of -p**8/3360 + p**7/560 + p**6/120 - p**5/30 + 29*p**3 - 9*p + 3. Let v(t) be the second derivative of l(t). Factor v(a).
-a*(a - 4)*(a - 1)*(a + 2)/2
Let d(o) be the third derivative of -2*o**7/35 - 7*o**6/2 + 149*o**5/20 + 177*o**4/8 - 54*o**3 - o**2 - 994. Find t, given that d(t) = 0.
-36, -1, 1/2, 3/2
Let k(u) = 4*u**2 - 12*u + 37. Let c(y) = -y**2 + 6*y - 17. Let a(v) = 7*c(v) + 3*k(v). Factor a(m).
(m + 2)*(5*m - 4)
Find w such that -4*w**4 + 698*w**3 + 122500 + 59003*w**2 - 36113*w**2 + 67251*w**2 + 5*w**4 - 244300*w + 30960*w**2 = 0.
-350, 1
Suppose 5*t = -4*o - 19, 3*t + 5*o = -t - 8. Let y(h) = h**3 + 8*h**2 + 4*h - 9. Let r be y(t). Let 9*j**2 + 42*j**3 + 0 - 3 + 9 - 15*j - r*j = 0. What is j?
-1, 2/7, 1/2
Let b(q) be the third derivative of -q**5/3 - 29*q**4/12 - 6*q**3 - 3*q**2 - 2*q - 164. Determine d so that b(d) = 0.
-2, -9/10
Let k(r) = -2*r**2 - 2*r - 1. Let a(z) = 10*z**3 - 150*z**2 + 396*z - 152. Let b(h) = a(h) - 8*k(h). Find c, given that b(c) = 0.
2/5, 4, 9
Let b = 44 - 22. Let z = b + -20. Factor 4*r**2 - 16*r**3 - 5*r**z - 15*r**2 - 3*r**4 - r**4.
-4*r**2*(r + 2)**2
Let y(s) = 69*s**2 - 1284*s - 653. Let o(d) = -56*d**2 + 1286*d + 652. Let i(b) = -5*o(b) - 4*y(b). Factor i(g).
2*(g - 324)*(2*g + 1)
Let y(z) be the second derivative of -z**7/21 - 4*z**6/15 + 5*z**4/3 + z**3/3 - 6*z**2 - 2072*z. Suppose y(r) = 0. Calculate r.
-3, -2, -1, 1
Determine t, given that -1/4*t**4 - 17/4*t**2 + 7/4*t**3 - 3/2 + 17/4*t = 0.
1, 2, 3
Let l be (-8)/((-2128)/(-342))*7/(-15). Determine o so that l*o**2 - 27/5 - 24/5*o = 0.
-1, 9
Let r(v) be the third derivative of v**5/330 + 119*v**4/66 + 14161*v**3/33 - 2*v**2 - 4*v + 7. Factor r(b).
2*(b + 119)**2/11
Suppose 20340*d - 21609 + 460*d**3 + 12*d**4 - 63826*d**2 + 69454*d**2 + 5409 = 0. What is d?
-15, -9, 2/3
Let j(m) be the second derivative of 3*m**5/20 + 11*m**4/4 - 97*m**3/2 + 255*m**2/2 - 2*m + 399. Factor j(l).
3*(l - 5)*(l - 1)*(l + 17)
Let w(h) = -2*h**2 + 381*h + 193. Let t be w(191). Let 14/5*n**3 + 0 - 16/5*n**t 