3 + a + 5. Let h(j) = -2*v(j) + 9*z(j). Factor h(u).
-(u + 1)**2
Factor -27*m + 45*m**2 - 194*m + 65*m - 76 + 184 + 3*m**3.
3*(m - 2)*(m - 1)*(m + 18)
Let z be ((-60)/25)/(819/(-390)). Determine q, given that z + 2/7*q**2 - 10/7*q = 0.
1, 4
Let g(a) be the first derivative of -1/2*a**3 + 80 - 21/4*a**2 + 0*a. Factor g(n).
-3*n*(n + 7)/2
Suppose -10*q - 8*f - 352 = -6*q, 181 = -2*q + f. Let l be (2 + q/63)/(3/7). Factor l*j + 4/3 + 1/3*j**2.
(j + 2)**2/3
Suppose 0 = 4*n - 17*n + 104. Suppose -6*y + 4*y - k = 0, 2*y + 3*k + n = 0. Factor 5*b**4 + 92*b**3 - 96*b**3 + y*b**2 - 3*b**4.
2*b**2*(b - 1)**2
Let o(x) be the second derivative of -x**2 + 1/78*x**4 - 64*x + 4/13*x**3 + 0. Let o(j) = 0. Calculate j.
-13, 1
Let c(o) be the second derivative of o**6/720 + 23*o**5/120 + 529*o**4/48 + o**3/3 - 39*o**2/2 + o + 7. Let g(w) be the second derivative of c(w). Factor g(m).
(m + 23)**2/2
Find v such that 0 + 1/5*v**3 - 59/5*v**2 - 12*v = 0.
-1, 0, 60
Let -45402*x**2 + 7046*x - 502403*x**2 + 3310*x**3 - 5*x**4 - 7046*x = 0. What is x?
0, 331
Factor 3/5*y**2 - 291/5*y + 1116/5.
3*(y - 93)*(y - 4)/5
Let u be (24/(-90))/((-1478592)/73926 + 20). Determine t so that u + 74/5*t + 1/5*t**2 = 0.
-37
Let k be (2/(-5))/(-4*(-7)/(-840)). Let l(b) be the first derivative of -k - 2/45*b**3 + 2/15*b + 0*b**2. Factor l(u).
-2*(u - 1)*(u + 1)/15
Let m = 9/34 + -11/170. Suppose 0 = 3*d + i - 3, 6 = -2*d - 7*i + 9*i. Suppose -2/5*y**4 + 1/5*y**3 - m*y**5 + 0*y + d + 2/5*y**2 = 0. What is y?
-2, -1, 0, 1
Let f(i) = -198*i - 454. Let o be f(-5). Let m = -8038/15 + o. What is t in -2/15*t**3 + m*t**4 + 0*t + 0*t**2 + 0 = 0?
0, 1
Let r(f) be the third derivative of -1/588*f**8 - 4 - 8/735*f**7 + 0*f + 2/5*f**5 + 3/14*f**4 + 13*f**2 + 4/105*f**6 - 36/7*f**3. Solve r(q) = 0 for q.
-3, -2, 1, 3
Let w = 2062 + -2057. Let x(l) be the third derivative of 0*l**w - 20*l**2 + 1/600*l**6 + 0*l + 0 + 0*l**3 - 1/120*l**4. Factor x(k).
k*(k - 1)*(k + 1)/5
Let k = -101/114 - -499/456. Let s(r) be the first derivative of -7/8*r**2 - 3/8*r + 26 + k*r**3. Factor s(m).
(m - 3)*(5*m + 1)/8
Let k(l) be the third derivative of 0*l**3 + 0*l**6 + 0 - 1/16*l**4 - 1/70*l**7 - 67*l**2 + 1/224*l**8 + 0*l + 1/20*l**5. Determine n so that k(n) = 0.
-1, 0, 1
Let k(t) be the second derivative of -t**4/66 + 305*t**3/33 - 304*t**2/11 + 38*t + 7. Find c such that k(c) = 0.
1, 304
Factor -56180 - 1/5*d**2 - 212*d.
-(d + 530)**2/5
Let 1807/5*a - 602/5 - 1/5*a**4 + 121*a**3 - 1809/5*a**2 = 0. Calculate a.
1, 602
Let i(c) be the first derivative of -c**6/3420 - 17*c**5/1140 + 3*c**4/38 - c**3/3 - 6*c - 10. Let h(l) be the third derivative of i(l). Factor h(s).
-2*(s - 1)*(s + 18)/19
Let b(v) be the first derivative of -4*v**3/3 + 936*v**2 - 219024*v - 1325. Let b(t) = 0. What is t?
234
Let y(d) be the first derivative of -14*d + 10 + 14/3*d**3 + 1/6*d**4 + 49*d**2. Let l(w) be the first derivative of y(w). Factor l(h).
2*(h + 7)**2
Suppose 5*p = 9 + 1. Factor -1269*x - x**p + 1269*x.
-x**2
Let z(g) = 2*g - 54. Let i be z(27). Suppose 2*s = 4*o + 10, -4*s + 2*o + 27 + 5 = i. Factor -2*m**3 + 9*m**2 - 5*m + s*m**3 - 25*m**4 - 2*m**3 + 16*m**2.
-5*m*(m - 1)*(m + 1)*(5*m - 1)
Let g(k) be the second derivative of 0 + 4/3*k**3 - 1/3*k**5 + 0*k**2 + 1/9*k**4 - 286*k. Factor g(j).
-4*j*(j + 1)*(5*j - 6)/3
Suppose 9 = 9*x - 126. Factor -88*k + x - 101*k + 175*k - k**2.
-(k - 1)*(k + 15)
Factor 3*x**3 + 36282660 + 82180924 + 1147041*x + 18034295 + 3213*x**2.
3*(x + 357)**3
Let p(x) be the first derivative of -2/3*x**3 - 8*x + 142 + 5*x**2. Let p(j) = 0. Calculate j.
1, 4
Let p be (375/30 - 2)*1/14. Let j = 31/232 + 7/29. Find m, given that -3/8*m + j*m**2 - p = 0.
-1, 2
Let x(u) be the third derivative of -u**5/300 - 101*u**4/10 - 61206*u**3/5 + u**2 - 2*u - 587. Factor x(v).
-(v + 606)**2/5
Let o(d) be the second derivative of 2*d**5 + 0 - 111*d - 1/6*d**6 + 55/3*d**3 - 20*d**2 - 35/4*d**4. Factor o(f).
-5*(f - 4)*(f - 2)*(f - 1)**2
Let t(d) be the first derivative of d**4/2 + 22*d**3/3 - 14*d**2 - 48*d - 758. Factor t(m).
2*(m - 2)*(m + 1)*(m + 12)
Let n(p) be the third derivative of -p**2 + 3/40*p**6 + 0*p - 1/210*p**7 + 0*p**3 - 9/20*p**5 + 9/8*p**4 + 132. Factor n(q).
-q*(q - 3)**3
Let d(k) = -2*k + 8. Let h be d(8). Let w be (-24)/h*(-2 - -3). Find o such that 8*o**2 - 6*o**2 + 6*o**2 - 8*o**w + 0*o**2 + 2*o**4 = 0.
0, 2
Suppose -39*j + 26*j = 39. Let f be (-1 + j)*4/(1 + -9). Let m + 0*m**f - 2/3 - 1/3*m**3 = 0. Calculate m.
-2, 1
Suppose -2 = 4*x - 3*y, -4 = 2*x - 6*y + 4*y. Let v(a) be the first derivative of -1/4*a**4 + 9 - x*a**2 - 4*a - 5/3*a**3. Let v(u) = 0. Calculate u.
-2, -1
Let y(s) = -6*s**3 + s + 4. Let h(x) = x**2 - 2*x - 15. Let t be h(5). Let l be y(t). Determine n so that 0*n**3 + 0 + 0*n - 1/5*n**2 + 1/5*n**l = 0.
-1, 0, 1
Suppose -14 = -9*g + 7*g. Suppose -g*d = 5*i - 2*d - 30, -4*i - d = -27. Factor 13*n**3 + 0*n**4 + i*n - 4*n**4 - 17*n**2 - 1 + 2*n**2 + 0*n.
-(n - 1)**3*(4*n - 1)
Suppose 14*c**2 + 0*c + 8/9*c**4 + 0 + 506/9*c**3 = 0. Calculate c.
-63, -1/4, 0
Let r(k) = 6*k. Let b(y) = -50*y + 26. Let c(i) = 5*b(i) + 40*r(i). Let f be c(13). Factor 4/9*z + f - 2/9*z**2.
-2*z*(z - 2)/9
Let v = -37663 - -37667. Solve 2/15*x**5 + 2/3*x**3 + 4/15*x**2 + 8/15*x**v + 0*x + 0 = 0.
-2, -1, 0
Let i be (12/5 - 3) + (-117)/(-195). Let f(q) be the third derivative of 0*q**3 + 1/25*q**5 - 1/200*q**6 + 37*q**2 + i - 3/40*q**4 + 0*q. Factor f(a).
-3*a*(a - 3)*(a - 1)/5
Suppose 2*t + 1 + 1 = -2*i, i + 2*t = -4. Suppose 6 + 35*p**i - 5*p - 30*p**2 + 40*p + 44 = 0. What is p?
-5, -2
Suppose -19 = -s - 4*p, 0 = -s + 2*p - 4*p + 27. Factor 75*k**4 + 5*k**2 - s*k**4 - 37*k**4 - 17*k**2 + 3*k**5 - 12*k**3.
3*k**2*(k - 2)*(k + 1)*(k + 2)
Suppose 2*s - 5*c - 34 = 0, 0 = -6*s + 2*s - 5*c - 22. Find o such that -5*o**s - 5/6*o**4 + 0*o + 0 - 25/6*o**3 = 0.
-3, -2, 0
Factor 354543*y + 178555 - 170729 + 776174 + 149182*y - 2790*y**2 - 117325*y + 5*y**3.
5*(y - 280)**2*(y + 2)
Let t(l) be the first derivative of l**6/15 - 28*l**5/5 - 219*l**4/10 + 4509. Determine a, given that t(a) = 0.
-3, 0, 73
Suppose -2*o + 5*u - 2 = u, u = -3*o + 11. Suppose 3*m**5 + 7*m + m + 7*m**3 - 5*m - 13*m**o = 0. Calculate m.
-1, 0, 1
Determine l so that -2/9*l**2 - 46/9*l + 2/9*l**4 + 0 + 46/9*l**3 = 0.
-23, -1, 0, 1
Let b(j) be the second derivative of -j**7/399 - 8*j**6/285 - 2*j**5/95 + 56*j**4/57 + 320*j**3/57 + 256*j**2/19 + 463*j. Find d, given that b(d) = 0.
-4, -2, 4
Let y = 509/5840 + -9/365. Let k(w) be the first derivative of -5/12*w**3 - w - y*w**4 - w**2 - 10. Solve k(i) = 0 for i.
-2, -1
Let l = 5091/7 + -725. Let h = 576/77 - 76/11. Factor 16/7 + l*g + h*g**2.
4*(g + 2)**2/7
Let g = 109800 - 658793/6. Factor 1/3*o**3 - g*o**5 - 5/6*o**4 + 0*o**2 + 0*o + 0.
-o**3*(o + 1)*(7*o - 2)/6
Let o be 5*(-240)/180*(0 - 6/10). Determine h, given that 1/3*h**5 - 2*h**3 + 0*h**2 + 0 + 0*h - 1/3*h**o = 0.
-2, 0, 3
Let i = 1528 - 1512. Let l(h) be the first derivative of i - 3/40*h**5 - 3/4*h + 3/8*h**3 - 3/16*h**2 + 3/32*h**4. What is b in l(b) = 0?
-1, 1, 2
Let j = -276/11 - -1424/55. Let f(i) be the first derivative of 8/15*i**3 + 11 - 8/25*i**5 - 3/10*i**4 + 0*i + j*i**2 - 1/15*i**6. Let f(g) = 0. What is g?
-2, -1, 0, 1
Let o be 19201/(-7385) + -2 + 0 + 9. Factor 8/5*w**4 + 1/5*w**5 + o*w**2 + 0 + 8/5*w + 21/5*w**3.
w*(w + 1)**2*(w + 2)*(w + 4)/5
Let b be (-3 - -1*(-6 - 2/((-2)/9)))/(-3). Find h such that 0*h + 0*h**2 - 2/3*h**4 - 2/3*h**3 + b = 0.
-1, 0
Let q(c) = 3*c**2 - 539*c - 1629. Let o(x) = -x**2 + 268*x + 807. Let s(z) = -15*o(z) - 6*q(z). Solve s(g) = 0.
-259, -3
Let f be 2 - 36/8 - -9*817/2394. Solve 0 + f*g - 2/7*g**2 = 0 for g.
0, 2
Let k(m) be the second derivative of -1/5*m**5 + 0*m**2 - 8/3*m**3 + 100*m + 4/3*m**4 - 1. Factor k(w).
-4*w*(w - 2)**2
Let s = 57 + -51. Suppose -3*l + 0*h = 3*h + s, 17 = -l + 4*h. Let r(c) = -8*c**2 + 7*c - 5. Let b(f) = -f**2 + f - 1. Let x(g) = l*b(g) + r(g). Factor x(v).
-v*(3*v - 2)
Suppose -206710*m - 4*w + 36 = -206706*m, -5*w + 39 = 4*m. Solve 0*n - 3/2*n**2 + m = 0 for n.
-2, 2
Let s be -42*(710/(-70) + 9). Let a be 9/(-27) + 232/s. Suppose 0*q + 3/2*q**5 - 6*q**3 + 0 - a*q**4 + 0*q**2 = 0. Calculate q.
-1, 0, 4
Factor -3419/4*s**2 + 128*s**5 - 169/2*s + 368*s**4 - 106*s**3 + 219