(b). Determine s, given that t(s) = 0.
-1, -2/13
Suppose 0 = -4*u + 8*u - 48. Suppose -20 = -u*t + 2*t. What is p in 4*p - 1 - 2 + 2 + t - 5*p**2 = 0?
-1/5, 1
Let a(m) be the second derivative of m**4/72 - m**3/3 + 3*m**2 - 664*m. Factor a(j).
(j - 6)**2/6
Let l(a) = a**3 + 10*a**2 + 12*a + 30. Let c be l(-9). Suppose -7*t + 17*t**c + 33*t**3 - 54*t**2 - 8 + 16 + 7*t - 12*t**4 = 0. What is t?
-1/3, 1/2, 2
Let d = 487/875 + -66/125. Let t(h) be the second derivative of 0 - 5*h + 1/6*h**4 - 1/3*h**3 + 2/7*h**2 - d*h**5. Solve t(l) = 0 for l.
1/2, 1, 2
Let i be (-1365)/2002*33/(-18). Let l(q) be the first derivative of -5/2*q**2 + 5/3*q**3 + 0*q + i*q**4 - q**5 + 4. Find t, given that l(t) = 0.
-1, 0, 1
Let j = -330 + 335. Let p be (8/(-20) + 34/15)*j. Factor p*m + 98/3 + 2/3*m**2.
2*(m + 7)**2/3
Suppose -7*f - 16 = -11*f. Let a(j) = -2*j**2 - 12*j + 3. Let c be a(-6). Solve -10*u**3 - 4 - 4*u**f + 0*u - 18*u**2 - 14*u + c*u**4 - u**4 = 0.
-2, -1
Let p = -12809/83 + 111575/581. Suppose -p*o - 4/7*o**2 - 260/7 = 0. Calculate o.
-65, -1
Suppose 178 = 41*b - 40*b. Let n = b - 709/4. Determine h, given that -6 + n*h**3 - 3*h**4 - 3*h + 3/4*h**5 + 15/2*h**2 = 0.
-1, 2
Let r be (-30)/(-18)*-57*(-28)/3990. Factor y**2 - 4/3 + 1/6*y**4 - r*y + 5/6*y**3.
(y - 1)*(y + 2)**3/6
Suppose v - 2*o = -6, -5*o + 15 = -4*v - 0*v. Suppose v = 3*i - 8*i + 160. Factor -24*f**2 + 2*f**3 - f**3 - 5*f**3 + i*f**2.
-4*f**2*(f - 2)
Let s(x) be the second derivative of -2*x**6/15 - 33*x**5/10 + 19*x**4/2 + 52*x**3/3 - 36*x**2 - 1976*x. Find k such that s(k) = 0.
-18, -1, 1/2, 2
Let c(i) be the second derivative of -4*i**4/9 + 5*i**3 + 303*i. Let c(s) = 0. Calculate s.
0, 45/8
Let l(c) be the second derivative of 19*c + 0 + 1/4*c**3 - 1/120*c**5 + 1/24*c**4 + 5/12*c**2. Solve l(f) = 0 for f.
-1, 5
Let q(r) be the third derivative of -r**6/600 - 19*r**5/50 - 15*r**4/8 - 56*r**3/15 - 3967*r**2. Factor q(l).
-(l + 1)**2*(l + 112)/5
Let r(o) be the second derivative of -o**4/30 - 151*o**3/15 + 152*o**2/5 + 3*o - 91. Find u such that r(u) = 0.
-152, 1
Let c(a) be the third derivative of -7*a**5/90 - 139*a**4/36 - 44*a**3/3 - 853*a**2. Factor c(z).
-2*(z + 1)*(7*z + 132)/3
Let o = 634 + -632. Let k(z) be the second derivative of -10*z + 0 + 7/36*z**4 + 5/18*z**3 - 1/3*z**o. Solve k(u) = 0 for u.
-1, 2/7
Let j(s) be the second derivative of 17*s - 2 + 5/6*s**4 + 0*s**2 - 2/3*s**3 - 1/5*s**5. Factor j(p).
-2*p*(p - 2)*(2*p - 1)
Let u = -78356/5 - -78359/5. Determine a, given that 12/5*a + u*a**3 + 0 + 3*a**2 = 0.
-4, -1, 0
Let n(r) be the first derivative of -9/2*r**3 + 0*r**2 + 7 + 1/10*r**6 + 3/4*r**5 + 3/4*r**4 + r. Let x(d) be the first derivative of n(d). Factor x(j).
3*j*(j - 1)*(j + 3)**2
Factor -3/8*b + 27/4 - 1/8*b**2.
-(b - 6)*(b + 9)/8
Let l be (-213)/(-42) - (52/(-2184))/((-3)/9). What is x in -4*x**2 - l - 19/2*x + 1/2*x**3 = 0?
-1, 10
Factor 50 + 41*r + 67*r + 26 - 166 - 31*r**2 + 4*r**3 - 7*r**2.
2*(r - 5)*(r - 3)*(2*r - 3)
Let c(z) be the third derivative of z**8/504 - 17*z**6/90 + 16*z**5/15 - 7*z**4/4 + z**2 - 1591*z. Solve c(l) = 0 for l.
-7, 0, 1, 3
Determine c so that 839808 + 44/3*c**4 + 7144/3*c**3 + 2356128*c + 129168*c**2 = 0.
-54, -4/11
Let 10*i - 7449*i**2 + 3726*i**2 - 30*i + 3726*i**2 + 744 - 178*i = 0. Calculate i.
4, 62
Let a(k) be the second derivative of -k**4/42 + 16*k**3/7 + 153*k**2/7 - 10*k - 72. Factor a(s).
-2*(s - 51)*(s + 3)/7
Let b = -238988 - -238991. Suppose 64/21 + 104/7*a + 104/21*a**2 - 6/7*a**b = 0. Calculate a.
-2, -2/9, 8
Suppose 0 = 122*u + 8765881 - 8766247. Factor -60/11 - 186/11*r**2 - 182/11*r - 2/11*r**4 - 6*r**u.
-2*(r + 1)**3*(r + 30)/11
Let d = 204 - 210. Let n be (d/(-8))/(1/4). What is y in -3/7*y + 0 - 1/7*y**n - 4/7*y**2 = 0?
-3, -1, 0
Suppose 13*h**4 - 19*h**5 + 11*h**4 + 16*h**5 + 247*h - 122*h**2 - 64*h**2 - 126 + 44*h = 0. Calculate h.
-3, 1, 2, 7
Let g be 4/6 + 133/3. Let p = -42 + g. Factor w**5 + 6*w**3 + 11*w**3 - 19*w**p + w.
w*(w - 1)**2*(w + 1)**2
Factor 92/5*v + 4/5*v**2 + 72.
4*(v + 5)*(v + 18)/5
Let v(x) be the first derivative of -x**4/48 - 3*x**3/4 + 19*x**2/8 + 89*x + 6. Let b(h) be the first derivative of v(h). Find w, given that b(w) = 0.
-19, 1
Let i(q) be the first derivative of 2/3*q**3 + 15/2*q**2 - 15/4*q**4 - 2*q - 13. Solve i(d) = 0.
-1, 2/15, 1
Let s = 2/43417 + 1519589/130251. What is v in -s*v + 5/3*v**3 + 0*v**2 - 10 = 0?
-2, -1, 3
Let i(j) = -3*j**3 + 102*j**2 + 240*j + 406. Let k(q) = -q**3 + 45*q**2 + 120*q + 204. Let f(y) = -2*i(y) + 5*k(y). Factor f(z).
(z + 4)**2*(z + 13)
Find q such that 135/2*q**4 - 1260*q - 5400 - 3/2*q**5 + 6333/2*q**2 - 1809/2*q**3 = 0.
-1, 3, 20
Let n(t) = 5*t**3 - 2*t**2 + 8*t - 7. Let k be n(1). Find i such that 3*i**3 - 19*i**4 - 7*i**2 - 21*i**4 - 5*i**2 - 12*i + 43*i**k = 0.
-2, -1, 0, 2
Suppose -9234/7*a**2 - 1/7*a**4 + 157/7*a**3 - 2359496/7 + 241148/7*a = 0. Calculate a.
38, 43
Let d(g) be the first derivative of 3/35*g**5 - 1/2*g**2 - 1/21*g**3 - 2/7*g + 2 + 1/4*g**4. Find k, given that d(k) = 0.
-2, -1, -1/3, 1
Factor -416*a**2 + 26270*a**3 - 96*a**4 - 2*a**5 + 26195*a**3 + 26326*a**3 - 78383*a**3.
-2*a**2*(a - 2)**2*(a + 52)
Let k = -2/444203 + 1776830/3997827. Factor 2/9*c**2 - 2/3 + k*c.
2*(c - 1)*(c + 3)/9
Let m(g) be the second derivative of -36*g - 648*g**2 - 24*g**3 + 0 - 1/3*g**4. Factor m(z).
-4*(z + 18)**2
Let r(y) be the second derivative of y**6/90 - 7*y**5/12 + 7*y**4/4 + 11*y**3/2 + 1914*y - 2. Let r(p) = 0. What is p?
-1, 0, 3, 33
Let i(s) be the second derivative of 1/3*s**4 - 20/3*s**3 - 98*s + 0 + 48*s**2. Let i(g) = 0. Calculate g.
4, 6
Let a(n) = 4*n**5 + 15*n**4 + 45*n**3 + 73*n**2 + 21*n + 3. Let r(c) = 2*c**5 + 16*c**4 + 52*c**3 + 72*c**2 + 22*c + 2. Let j(w) = 2*a(w) - 3*r(w). Factor j(l).
2*l*(l - 12)*(l + 1)**3
Let n = 4153 + 19370. Suppose -q = 4*v - 6*q - n, 4*q - 20 = 0. Factor 5887 - v + 5*x**3 + 30*x**2.
5*x**2*(x + 6)
Let h = -517719/140 - -3698. Let k(z) be the third derivative of h*z**6 + 1/735*z**7 + 0*z + 1/210*z**5 + 8*z**2 + 0 - 1/28*z**4 - 2/21*z**3. Factor k(f).
2*(f - 1)*(f + 1)**2*(f + 2)/7
Find j such that -56/3*j + 40 - 2/3*j**2 = 0.
-30, 2
Let b(n) = 4*n**2 + 371*n + 7065. Let c be b(-66). Let -66*l + 33/2*l**4 + 183/2*l**2 - 3/2*l**5 - 117/2*l**c + 18 = 0. Calculate l.
1, 2, 6
Factor 70*y + 14*y**2 + 88 + 1/2*y**3.
(y + 2)*(y + 4)*(y + 22)/2
Suppose 3*y + 4*u - 3 + 0 = 0, -5*u = -4*y - 27. Let v be 2 + 3/((-9)/y). Factor -21*g**v + 21*g**3 + 0*g**2 - 5*g**4 + 5*g**2.
-5*g**2*(g - 1)*(g + 1)
Factor -17*p + p**3 + 13*p - p**4 - 7*p + p**2 - 2*p**3 + 12*p.
-p*(p - 1)*(p + 1)**2
Let n(q) be the first derivative of -q**5/10 + 2*q**4 - 23*q**3/6 - 85*q**2 - 150*q - 1128. Suppose n(k) = 0. Calculate k.
-3, -1, 10
Let f(i) be the second derivative of i**6/30 + 59*i**5/20 + 14*i**4 - 2*i**3/3 - 112*i**2 - 506*i. Let f(p) = 0. What is p?
-56, -2, 1
Suppose 27*y - 110 = -116 + 114. Factor 50/7*z + y*z**2 + 2/7*z**3 + 24/7.
2*(z + 1)**2*(z + 12)/7
Suppose -12*f = -53*f + 697. Factor 4*p + 4*p**2 + f*p - 9*p - 8*p**2 + 40.
-4*(p - 5)*(p + 2)
Factor 1/2*j**5 + 33/2*j**4 + 0*j + 0*j**2 + 0 + 91*j**3.
j**3*(j + 7)*(j + 26)/2
Solve 80*x**3 + 17*x - 77364*x**4 + 297*x**2 + 63*x + 198*x**2 + 77359*x**4 + 550*x = 0 for x.
-3, -2, 0, 21
Suppose -20*u - 3*u = -92. Determine x, given that -56*x**3 + 987*x**4 - 40*x**3 + 14*x**5 - 368*x**2 + 96 - 949*x**u - 224*x = 0.
-2, 2/7, 3
Let u(n) be the first derivative of 10/3*n**3 - 5/2*n**2 - 10*n + 5/4*n**4 + 16. Solve u(i) = 0.
-2, -1, 1
Let z(y) be the second derivative of 40*y**7/21 - 116*y**6/3 + 1153*y**5/4 - 5335*y**4/6 + 4325*y**3/6 - 250*y**2 - 66*y - 1. Determine k so that z(k) = 0.
1/4, 4, 5
Let -14*s**4 - 23*s**2 + 86*s**3 - 49*s**4 - 12*s**5 - 29*s**3 + 32*s**2 + 9*s**2 = 0. What is s?
-6, -1/4, 0, 1
Let n(z) be the second derivative of -z**5/140 - 53*z**4/42 + z - 116. Factor n(w).
-w**2*(w + 106)/7
Let b(k) be the third derivative of -k**7/210 + 13*k**6/20 + 4*k**5 + 121*k**4/12 + 27*k**3/2 + 36*k**2 - 6*k + 1. Let b(v) = 0. What is v?
-1, 81
Let a = 110395 + -110395. Determine c so that a*c - 4/7*c**5 + 0*c**3 - 40/7*c**4 + 0*c**2 + 0 = 0.
-10, 0
Suppose -11*n + 3*n + 312 = 0. Let d = n - 23. Factor 9*t**3 + d + 6*t - 16 - 35*t**2 + 6*t**2.
t*(t - 3)*(9*t - 2)
Let o(