). Factor y(t).
-4*(t - 7)*(t - 3)**2
Let s(u) be the third derivative of -u**6/180 + 104*u**5/15 + u**4/36 - 208*u**3/3 + 511*u**2 + 2. Factor s(d).
-2*(d - 624)*(d - 1)*(d + 1)/3
Let h(l) be the first derivative of 4*l**3/21 - 796*l**2/7 + 3168*l/7 + 3074. Determine t, given that h(t) = 0.
2, 396
Let o(w) = 2*w**2 + 670*w + 7. Let i(m) = m**2 + 2*m - 7. Let s(j) = -i(j) - o(j). Factor s(t).
-3*t*(t + 224)
Let v(j) be the second derivative of j**7/462 + 17*j**6/330 - 7*j**5/220 - 329*j**4/132 + 101*j**3/11 - 144*j**2/11 + 649*j - 5. Find a, given that v(a) = 0.
-16, -6, 1, 3
Let q(d) = -d**2 + 357*d - 6422. Let a be q(19). Factor 3/8*i**3 - 9/4 - 21/8*i + a*i**2.
3*(i - 3)*(i + 1)*(i + 2)/8
Let s(n) be the first derivative of -5*n**6/6 + 12*n**5 - 225*n**4/4 + 290*n**3/3 - 60*n**2 + 6333. Solve s(i) = 0.
0, 1, 4, 6
Let n(q) be the third derivative of 8281*q**5/120 - 1001*q**4/24 + 121*q**3/12 + 52*q**2 + 9*q. Factor n(u).
(91*u - 11)**2/2
Let s(h) be the first derivative of -h**3/3 - 91*h**2 - 181*h + 1824. Factor s(m).
-(m + 1)*(m + 181)
Let r(a) be the first derivative of -17/6*a**2 - 8/3*a - 16 - 10/9*a**3 - 1/12*a**4. What is p in r(p) = 0?
-8, -1
Let c(a) be the third derivative of -1/42*a**7 + 0*a**3 + 1/12*a**6 + 2*a**2 + 5/12*a**5 - a + 0 - 5/4*a**4. Let c(z) = 0. Calculate z.
-2, 0, 1, 3
Let a(m) = -725 + 10*m - 2*m**2 + 11*m + 55*m. Let y(h) = -8*h**2 + 304*h - 2899. Let x(f) = 22*a(f) - 6*y(f). Find o such that x(o) = 0.
19
Suppose -19*c**2 + 5*c**2 + 9*c**2 + 4*c**2 - 73*c - 57 + 207 = 0. Calculate c.
-75, 2
Let s be -327*(-14)/8*44/(-2926). Let g = -116/19 - s. Factor g*f**4 - 140*f - 15/2*f**2 + 15*f**3 - 120.
5*(f - 3)*(f + 1)*(f + 4)**2/2
Factor -2/9*m**4 + 170/3*m**3 - 14276/3*m**2 + 1272112/3 + 1138984/9*m.
-2*(m - 86)**3*(m + 3)/9
Solve 10*f**2 + 1400*f - 2*f**2 + 20*f + 1418 - 6*f**2 = 0 for f.
-709, -1
Let w(i) = i**2 - 22*i + 24. Let a be w(21). Suppose 3*k**4 - 48 + 48*k + 28*k**a + 44*k**3 - 84*k**3 = 0. Calculate k.
-2, 2
Solve -2233/3*x + 298 - 5/3*x**2 = 0.
-447, 2/5
Let l(h) = 7*h - 5. Let o be l(1). What is j in 21*j**2 - 60*j + o*j**3 + 19*j**2 + 63*j**4 + 3*j**3 - 68*j**4 = 0?
-3, 0, 2
Suppose 2*x = x + 2. Let y(w) = 47*w + 521. Let t be y(-11). Factor -s**x + 9*s**2 - 28*s - t*s**2.
4*s*(s - 7)
Let j = 191121 - 191121. Find f, given that 1/5*f**5 + 0 - 2/5*f**4 + j*f**2 + 0*f**3 + 0*f = 0.
0, 2
Let i(s) = 79*s**2 - 8611*s. Let n be i(109). What is k in 2/11*k**4 + 2/11*k**3 + n - 4/11*k**2 + 0*k = 0?
-2, 0, 1
Let g be -57 - (-3 - -4) - 3. Let r = 254 + g. Determine n, given that 3*n**2 - 100*n - 96*n - 3 + 3*n**3 + r*n = 0.
-1, 1
Let g(h) be the second derivative of -h**4/3 - 56*h**3/3 + 330*h**2 - h - 824. Solve g(s) = 0 for s.
-33, 5
Let m(q) be the first derivative of -q**4/20 - 2*q**3/3 - 7*q**2/10 + 18*q/5 + 590. Factor m(y).
-(y - 1)*(y + 2)*(y + 9)/5
Suppose -121*n - 24 = -127*n. Factor -21*y**2 + 29*y**2 + 28 + 4*y - 36*y**2 - n*y**3.
-4*(y - 1)*(y + 1)*(y + 7)
Suppose 17 = -8*m + 9*m. Let q(b) = 5*b**2 + 15*b - 18 - b + m + 10. Let y(w) = 5*w**2 + 15*w + 10. Let k(p) = -5*q(p) + 4*y(p). Factor k(s).
-5*(s + 1)**2
Find f such that 99*f - 9801/2 - 1/2*f**2 = 0.
99
Factor -13/5*h**2 + 1/5*h + 13/5 - 1/5*h**3.
-(h - 1)*(h + 1)*(h + 13)/5
Let t = -5/3 - -11/6. Suppose 4*m + 6*u = 3*u - 3, -32 = -4*m + 4*u. Factor 1/6*z**2 - 1/6*z**m - 1/6*z**4 + t*z**5 + 0*z + 0.
z**2*(z - 1)**2*(z + 1)/6
Let b(k) = k**3 + 11*k**2 + 26*k - 12. Let c be b(-7). What is r in -2700*r - 36640 - 95*r**c - 5*r**2 - r**3 + 9640 + 10*r**2 = 0?
-30
Let m(k) be the first derivative of 4*k**3/3 - 72*k**2 + 720*k + 1775. What is f in m(f) = 0?
6, 30
Let g(t) = -160*t**2 - 19*t - 33. Let a be g(-2). Let i = -631 - a. What is z in 512/5*z**i - 32/5*z - 512/5*z**3 + 2/5 + 192/5*z**2 = 0?
1/4
Let x = -388618 - -2720330/7. Suppose x*a**3 - 4/7*a + 0*a**2 + 2/7 - 2/7*a**4 = 0. Calculate a.
-1, 1
Suppose 0 = 4*w + 2 + 18. Let t be (w + 4)/((-3)/2 + 1). Determine k so that -3*k - 5*k - 2*k**3 - 4 - 10*k**t - 2 - 6*k = 0.
-3, -1
Factor -47/2*a - 1/2*a**4 + 15 + 3/2*a**2 + 15/2*a**3.
-(a - 15)*(a - 1)**2*(a + 2)/2
Factor 8/13*m**2 + 106/13*m - 84/13.
2*(m + 14)*(4*m - 3)/13
Let w be 0 + (-8)/(-4)*1. What is j in 124*j**w - 62*j**2 - 65*j**2 + j = 0?
0, 1/3
Let i(t) = 147*t**3 - t**2 - t + 1. Let a(q) = 331*q**3 + 106*q**2 + 218*q + 5. Let r(h) = a(h) - 3*i(h). Factor r(o).
-(o - 2)*(o + 1)*(110*o + 1)
Suppose -22 = 30*f - 4 - 18. Let i(g) be the third derivative of -g**3 + 4*g**2 + f*g + 0 - 1/24*g**4 + 1/60*g**5. Factor i(c).
(c - 3)*(c + 2)
Factor -2/9*g**2 + 20*g + 182/9.
-2*(g - 91)*(g + 1)/9
Let i(p) = 7*p**2 + 133*p + 240. Let a(v) = -20*v**2 - 399*v - 702. Let t(h) = 6*a(h) + 17*i(h). Factor t(n).
-(n + 1)*(n + 132)
Let u(t) be the first derivative of -20/3*t**3 + 1/2*t**4 - 32*t + 68/3*t**2 + 115 + 1/15*t**5. Solve u(q) = 0 for q.
-12, 2
Let b(d) be the first derivative of -28/5*d - 6/5*d**3 + 20 + 13*d**2. Factor b(w).
-2*(w - 7)*(9*w - 2)/5
Let r = -323 - -325. Factor 1 - 910*l**r + 451*l**2 + 1 + 457*l**2.
-2*(l - 1)*(l + 1)
Suppose -314 - 456 = -7*h. Factor -h*j**3 + 54*j**3 + 27*j + 53*j**3.
-3*j*(j - 3)*(j + 3)
Let g = 1908 + -1907. Let y be ((-217)/(-7) + -1)*g/4. Let 0 + 5/2*r**2 + y*r = 0. Calculate r.
-3, 0
Let y(m) be the first derivative of 2*m**3/39 - 152*m**2/13 + 3030. What is h in y(h) = 0?
0, 152
Suppose 0 = -9*y + 2807 - 827. Suppose 4*c + n = y, 5*c + 3*n + 2*n = 260. Factor -5*u**5 - 119*u**3 - 24*u**2 - 29*u**4 - u**3 - 16*u**4 - c*u**2.
-5*u**2*(u + 1)*(u + 4)**2
Let t(s) be the second derivative of -s**5/24 - 115*s**4/72 - 215*s**3/36 - 35*s**2/4 + 79*s + 8. Factor t(m).
-5*(m + 1)**2*(m + 21)/6
Let f = -70 - -72. Factor -b**f + 2*b + 4 + 5 + 4 - 10.
-(b - 3)*(b + 1)
Suppose -2315 + 2809 + 1303*d + 2882 + 4*d**2 - 443*d + 0*d**2 = 0. Calculate d.
-211, -4
Suppose 18 = 2*q - g - 15, -2*q + 36 = -4*g. Suppose -5*d = -q - 14. Find m such that -3*m**3 + 0*m**2 + 4*m**2 - d*m + 5*m**2 = 0.
0, 1, 2
Let z = -1941 + 1943. Let m be (1 - 7)/(1014/(-52)). What is w in 2/13*w**z - 2/13*w - m = 0?
-1, 2
Let r(k) = 3*k**3 - 381*k**2 + 759*k - 378. Let p(i) = -3*i**3 + 381*i**2 - 757*i + 377. Let t(v) = -3*p(v) - 2*r(v). Factor t(b).
3*(b - 125)*(b - 1)**2
Let l(z) be the second derivative of z**6/45 - 373*z**5/90 + 11275*z**4/54 + 2233*z**3/3 - 882*z**2 + 3787*z. Solve l(b) = 0 for b.
-2, 1/3, 63
Let q = 531256 + -531254. Factor 2/5*x - 2/5*x**4 + 0 - 2/5*x**3 + 2/5*x**q.
-2*x*(x - 1)*(x + 1)**2/5
Let t(c) be the third derivative of -c**5/12 + 170*c**4/3 + 1370*c**3/3 + 1226*c**2. Solve t(y) = 0 for y.
-2, 274
Determine a so that 16/11*a**3 - 32/11*a - 2/11*a**5 - 4/11*a**4 + 32/11*a**2 - 64/11 = 0.
-2, 2
Let x be (36/(-78))/((252/234)/(-7)). Factor 34/9*j + 6*j**2 + 8/9*j**x - 4/3.
2*(j + 1)*(j + 6)*(4*j - 1)/9
Let j be -5 - (-4)/(180/747). Let o = -11 + j. Let 2/5*u**2 + o*u + 0 = 0. What is u?
-3/2, 0
Solve 6*b**5 + 118*b**4 + 382*b**3 + 64 + 122*b + 57*b - 107*b + 153*b + 498*b**2 + 67*b = 0 for b.
-16, -1, -2/3
Suppose -62 + 1/3*i**2 - 91/3*i = 0. What is i?
-2, 93
What is y in -39*y**3 + 1443*y - 726*y**2 - 549 - 171 + 42*y**3 = 0?
1, 240
Let m(n) = 5*n**4 - 31*n**3 + 46*n**2 - 26*n. Let k(p) = p**3 - p**2 + p. Let j = 114 + -108. Let d(z) = j*k(z) + m(z). Suppose d(t) = 0. Calculate t.
0, 1, 2
Let b(t) be the second derivative of 0*t**5 + 0*t**2 - 19/3*t**3 + 0 + 1/1080*t**6 + 30*t - 1/72*t**4. Let n(a) be the second derivative of b(a). Factor n(r).
(r - 1)*(r + 1)/3
Let q be 19/2 - (215 + -210). Factor q*y**3 + 45*y + 12 + 57/2*y**2.
3*(y + 2)*(y + 4)*(3*y + 1)/2
Let p(k) be the third derivative of 3/130*k**5 - 1/195*k**7 + 0*k + 48*k**2 - 5/156*k**4 + 0 + 1/156*k**6 - 2/39*k**3. Find h, given that p(h) = 0.
-1, -2/7, 1
Let v(x) = 8*x + 61. Let y be v(-7). Let b(l) = 6*l**2 + 3*l - 15. Let o(w) = 7*w**2 + 4*w - 15. Let h(a) = y*o(a) - 6*b(a). Factor h(d).
-(d - 5)*(d + 3)
Let z(i) be the first derivative of 1/21*i**6 - 1/14*i**4 + 0*i**3 + 0*i**5 + 0*i + 0*i**2 + 63. Determine a so that z(a) = 0.
-1, 0, 1
Factor 31*t + 3*t**2 - 19*t - 7*t**2 + 4*t**2 + 8 + 4*t**2.
4*(t + 1)*(t + 2)
Suppose -12 - 303*r**3 + 425*r**2 + 612*r**3 + 352*r - 248*r**3 = 0. What is r?
-6, -1, 2/61
Factor 137*i**3 - 16 - 53876*i + 21*i**3 + 5