= 0. Calculate s.
-1, -2/9, 1
Let y(j) = -j**2 - 44*j + 97. Let h be y(-46). Suppose 13*n = h*n - 22*n. Find c, given that -15/2*c**3 + n - 5/2*c**4 + 0*c - 5*c**2 = 0.
-2, -1, 0
Factor -2034/7 + 2/7*w**2 - 208/7*w.
2*(w - 113)*(w + 9)/7
Let p(d) = 2*d**3 + 44*d**2 - 50*d + 36. Let o(f) = -f**3 - 29*f**2 + 34*f - 24. Suppose -2 - 9 = x + 3*j, -j = 1. Let i(w) = x*o(w) - 5*p(w). Factor i(u).
-2*(u - 3)*(u - 2)*(u - 1)
Let p(b) be the second derivative of b**4/12 - 7*b**3/3 - 49*b**2/2 + 39*b. Let q be p(17). Find z such that 121*z + 60 + 39*z - 228*z**q + 253*z**2 = 0.
-6, -2/5
Suppose 5*y - 18 = 2*y. Let t(q) = -31*q**2 - 59*q + 11. Let n(z) = -19*z + 38*z - 14*z - 10 + 53*z + 30*z**2. Let p(a) = y*t(a) + 5*n(a). Factor p(v).
-4*(v + 2)*(9*v - 2)
Let i(j) be the second derivative of j**7/84 - j**5/8 + j**3/3 + 3373*j. Solve i(t) = 0.
-2, -1, 0, 1, 2
Factor -256/11 + 98/11*a**3 + 1800/11*a - 3192/11*a**2.
2*(a - 32)*(7*a - 2)**2/11
Suppose 1340*h + 15 = 1337*h + 3*m, -8*h = 5*m - 103. Determine t, given that 3/2*t**3 - 6*t - h + 3/2*t**2 = 0.
-2, -1, 2
Let r(p) be the second derivative of p**4/114 - 3208*p**3/57 + 2572816*p**2/19 - 218*p + 2. What is w in r(w) = 0?
1604
Suppose 384 = -292*z + 621 + 639. Factor -48/11*m**2 - 108/11 - 6/11*m**z - 126/11*m.
-6*(m + 2)*(m + 3)**2/11
Factor -2455*g - 2633*g - 24*g**2 + 11*g**2 - 522277 + 2679589 + 16*g**2.
3*(g - 848)**2
Let v = -4840771/20226 - -5/6742. Let d = v - -242. Factor -16*g**4 + 0*g - 12*g**3 - d*g**2 - 20/3*g**5 + 0.
-4*g**2*(g + 1)**2*(5*g + 2)/3
Let o(f) be the first derivative of -f**7/210 + f**6/18 + 11*f**5/15 + 8*f**4/3 - 44*f**3 - 251. Let l(y) be the third derivative of o(y). Factor l(b).
-4*(b - 8)*(b + 1)*(b + 2)
Let h(s) be the second derivative of -s**5/30 + 31*s**4/9 - 115*s**3/3 + 168*s**2 + 1338*s. Factor h(j).
-2*(j - 56)*(j - 3)**2/3
Let i(z) be the second derivative of -z**7/140 + 3*z**6/40 - 11*z**5/40 + 3*z**4/8 - 54*z**2 + 10*z + 1. Let g(c) be the first derivative of i(c). Factor g(n).
-3*n*(n - 3)*(n - 2)*(n - 1)/2
Let v(j) be the first derivative of j**6/30 + 3*j**5/20 + j**4/6 + 12*j + 16. Let o(s) be the first derivative of v(s). Factor o(q).
q**2*(q + 1)*(q + 2)
Factor 160801/3 + 802/3*v + 1/3*v**2.
(v + 401)**2/3
Let h(x) = x**2 + 5*x + 2. Let f be h(0). Factor 87*k + 3*k**3 - 151*k**2 - 42 + 13*k**2 + 90*k**f.
3*(k - 14)*(k - 1)**2
Let r be (-60)/150 - (-128)/80. Factor 14/15*y**3 + 0 + 4/15*y + r*y**2.
2*y*(y + 1)*(7*y + 2)/15
Factor 276*d**2 + 389*d**2 + 105 + 72 - 584*d**2 + d**3 - 250*d - 9.
(d - 2)*(d - 1)*(d + 84)
Let a(h) = 20*h**4 - 21*h**3 - 39*h**2 + 22*h + 5. Let x(s) = s**3 - s**2 + 2*s + 1. Let t(b) = -a(b) + 5*x(b). Find k, given that t(k) = 0.
-1, 0, 3/10, 2
Let v(p) be the third derivative of -p**8/1176 - 3*p**7/245 + 19*p**6/70 - 5*p**5/3 + 19*p**4/4 - 51*p**3/7 + 4460*p**2. Solve v(f) = 0.
-17, 1, 3
Let y(g) be the first derivative of 5*g**3/3 + 2625*g**2/2 - 2630*g + 3227. Factor y(t).
5*(t - 1)*(t + 526)
Factor 31*n - 121*n + 5*n**2 + 46906 - 46681.
5*(n - 15)*(n - 3)
Suppose 3*r - 48 = -24*v + 21*v, 2*v = -3*r + 31. Suppose -v = 4*j + 6*w - 11*w, 3*w = -j + 17. Let 8/15*y + 0 + 8/15*y**j + 2/15*y**3 = 0. Calculate y.
-2, 0
Let h be ((-2)/4)/(10/(12 - 72)). Let q(x) be the third derivative of 0 + 0*x**h - x**2 - 1/150*x**5 - 1/240*x**4 + 0*x. Find n, given that q(n) = 0.
-1/4, 0
Suppose -2*w - 5*c + 31 = 0, 2*w + 26 = 4*w + 4*c. Suppose -138*l**4 + 142*l**4 + 396*l**2 + 76*l**w + 309*l + 15*l = 0. What is l?
-9, -1, 0
Let n(v) be the first derivative of -156 + 0*v**2 - 4/9*v**3 + 0*v - 13/12*v**4 - 1/5*v**5. Solve n(a) = 0 for a.
-4, -1/3, 0
Let i(g) be the second derivative of g**5/50 + 493*g**4/30 + 3896*g**3/15 + 1552*g**2 + 6466*g. Solve i(h) = 0.
-485, -4
Let l(h) be the third derivative of -h**7/42 + h**6/12 + 175*h**5/12 + 490*h**4/3 - 78*h**2 - 10. Factor l(p).
-5*p*(p - 16)*(p + 7)**2
Let h(d) = -4*d**2 + 115*d + 81. Let l be h(38). Let j = 1423 + l. Find k such that -14*k**2 - 686/3 + 2/3*k**3 + j*k = 0.
7
Factor -852*n**2 + 18*n**2 - 1510 - 610*n**2 + 3648*n - 88*n**3 - 794 - 2*n**4 + 190*n**3.
-2*(n - 24)**2*(n - 2)*(n - 1)
Let t(b) = -10*b**3 + 52*b**2 - 40*b - 768. Let i(a) = 108*a**3 - 572*a**2 + 448*a + 8448. Let f(g) = -3*i(g) - 32*t(g). Let f(c) = 0. Calculate c.
-3, 8
Find d, given that -14*d + 17/5*d**4 + 14*d**3 - 9/5*d**2 - 8/5 = 0.
-4, -1, -2/17, 1
Let b(d) = -7*d**2 + 198*d - 1991. Let g(c) = 5*c**2 - 196*c + 1991. Let t(o) = 4*b(o) + 6*g(o). Find h, given that t(h) = 0.
11, 181
Let p(h) be the first derivative of 8*h - 7/4*h**4 - 26/3*h**3 - 10*h**2 + 74. Factor p(u).
-(u + 2)**2*(7*u - 2)
Determine b so that -58 + 93*b**4 + 4*b**2 - 39*b**4 - 39*b + 116*b**3 - 2*b**5 - 75*b = 0.
-1, 1, 29
Let i = 186915/2002 + 1137/1001. Factor 15/2*h**3 + 0 + i*h**2 - 39*h.
3*h*(h + 13)*(5*h - 2)/2
Let a(l) be the second derivative of l**6/10 + 3*l**5/2 - 63*l**4/4 - 116*l**3 + 1560*l**2 + 11*l + 53. Factor a(k).
3*(k - 4)**2*(k + 5)*(k + 13)
Let s(m) be the third derivative of -7*m**5/150 + 767*m**4/60 - 436*m**3/15 + 4*m**2 + 11*m + 6. Determine j, given that s(j) = 0.
4/7, 109
Let a(x) be the third derivative of x**8/30240 + x**7/1620 - 5*x**4/12 - 7*x**3/6 - 107*x**2. Let q(v) be the second derivative of a(v). Factor q(p).
2*p**2*(p + 7)/9
Suppose -2*m + 12 = -4*k, k = -4*m + 22 - 7. Let p be 64 + -65 - 2*(-10)/m. Factor 18/5 - p*s + 2/5*s**2.
2*(s - 9)*(s - 1)/5
Let q(w) = 2*w**3 + 60*w**2 - 717*w + 135. Let a be q(9). Factor 1/4*l**3 + a + l + l**2.
l*(l + 2)**2/4
Let -2/7 - 157/7*i - 12321/7*i**3 - 3404/7*i**2 = 0. What is i?
-2/9, -1/37
Let i(t) be the third derivative of t**8/33600 - t**6/1200 + t**5/300 - 5*t**4/4 - t**3/3 + 67*t**2. Let a(x) be the second derivative of i(x). Factor a(z).
(z - 1)**2*(z + 2)/5
Let j(h) be the first derivative of -h**6/3 - 122*h**5/35 - 59*h**4/14 + 338*h**3/21 - 6*h**2 - 3831. Find l, given that j(l) = 0.
-7, -3, 0, 2/7, 1
Let f(u) = -6*u + 49*u**2 + 2*u - 45*u**2. Let i(r) = -13*r**2 + 12*r + 1. Let x(w) = -14*f(w) - 4*i(w). Factor x(s).
-4*(s - 1)**2
Let s(p) be the second derivative of p**7/21 + 3*p**6/5 + 6*p**5/5 - 40*p**4/3 - 64*p**3 - 2*p - 793. Find x, given that s(x) = 0.
-4, 0, 3
Suppose -68*l + 31 = -105. Suppose -4*y - 5*p = -28, 5*y - 4*p = -2*p + l. Factor -1/2*m**y - 1/2 - m.
-(m + 1)**2/2
Let 1492/11*t + 2/11*t**2 + 278258/11 = 0. What is t?
-373
Suppose -8 = 2*c, -980*k = -975*k - c - 684. Factor -16 - 284/3*d + 12*d**3 - k*d**2.
4*(d - 12)*(3*d + 1)**2/3
Let m(o) be the third derivative of 0*o + 1/2*o**3 - 1/8*o**4 - 13*o**2 + 0 + 1/40*o**6 - 1/20*o**5. Solve m(p) = 0 for p.
-1, 1
Let i(h) be the third derivative of h**9/756 + h**8/420 + h**3/2 - 8*h**2 + 8. Let c(m) be the first derivative of i(m). Factor c(f).
4*f**4*(f + 1)
Let q(a) be the third derivative of 2*a**7/945 + 7*a**6/27 + 137*a**5/135 + 34*a**4/27 - 16*a**2 - a. Factor q(t).
4*t*(t + 1)**2*(t + 68)/9
Let u be (5 - 2)*1/9*282/188. Let c be (4/3)/(16/24). Solve 3/2 + u*m**2 - c*m = 0.
1, 3
Let u(q) be the second derivative of q**5/110 + 82*q**4/33 + 6724*q**3/33 - 14*q. Factor u(w).
2*w*(w + 82)**2/11
Let a = 11 + -7. Let -5107*y**5 + 5002*y**5 - 600*y**2 + 80 - 21*y**a + 400*y**3 + 166*y**4 + 80*y = 0. What is y?
-2, -2/7, 2/3, 1, 2
Let n be (-12)/7*(-4 - 12/(-24)). Let j(p) be the second derivative of 0*p**4 - 4/3*p**3 + 2*p**2 + 0 + 2/5*p**5 + 5*p - 2/15*p**n. Factor j(u).
-4*(u - 1)**3*(u + 1)
Factor 139/4*h**3 + 23/2*h**2 + 0 + 3/4*h**4 + 0*h.
h**2*(h + 46)*(3*h + 1)/4
Let c = 78 + -20. Suppose 3*v + 46 = c. Determine z so that -10*z**v - 228*z**3 - 324*z - 6*z**4 - 460*z + 8*z**4 - 1680*z**2 = 0.
-14, -1/2, 0
Let z be -5 + 9/1 + -8. Let n be (-65)/(-15) + z + (-1)/3. Find j, given that n*j**4 - j**4 - 91*j + 3*j**2 + 93*j = 0.
-1, 0, 2
Let a be -1*(-6)/36*0. Suppose a = -2*s + 5*c + 23, 0*s - 4*s + c = -19. Determine g so that -1/4*g**s - 1/4*g**2 + 0*g - 1/2*g**3 + 0 = 0.
-1, 0
Let a(s) be the first derivative of 4/21*s**3 + 900/7*s + 16 + 60/7*s**2. Factor a(w).
4*(w + 15)**2/7
Let n(r) be the first derivative of -r**4 - 96*r**3 - 414*r**2 - 270. What is y in n(y) = 0?
-69, -3, 0
Suppose 136*o - 5 = 135*o. Determine f, given that 6*f**4 + 3*f**4 + 3*f**5 + 30*f**3 + 7*f**5 - 12*f**o - 5*f**4 = 