*t**2. Determine q so that x(q) = 0.
15
Let g = -44157 + 75291. Factor -408*k**2 + 5027 - 14616 + 13872*k - 56094 - 60399 - g + 4*k**3.
4*(k - 34)**3
Let q(z) be the first derivative of -4/15*z**3 - 107 + 0*z - 2/5*z**4 + 4/25*z**5 + 4/5*z**2. Factor q(h).
4*h*(h - 2)*(h - 1)*(h + 1)/5
Let p(l) be the second derivative of l**5/20 + 29*l**4/8 + 14*l**3 + 84*l**2 + 35*l. Let s(g) be the first derivative of p(g). Find j, given that s(j) = 0.
-28, -1
Solve -17*d**4 - 279*d**3 - 18546*d - 9368*d - 5439*d**2 + 14*d**4 - 1689*d**2 - 1126*d = 0 for d.
-44, -5, 0
Suppose -144 + 43954568*v**3 - 146*v**2 - 43954566*v**3 - 290*v + 3*v**4 - v**4 = 0. Calculate v.
-8, -1, 9
Let o(w) be the second derivative of -w**6/45 + 2*w**5/5 - 5*w**4/2 + 50*w**3/9 + 278*w. Suppose o(s) = 0. What is s?
0, 2, 5
Factor -368/7 + k**2 + 1286/7*k.
(k + 184)*(7*k - 2)/7
Let z be 9/(-45)*2*(3 + -106). Let n = z - 608/15. Let -11/3*q**2 - 17/3*q**4 + 0 + 5/3*q**5 + 7*q**3 + n*q = 0. What is q?
0, 2/5, 1
Let i(o) be the second derivative of 2 - 12*o**2 + 21*o**3 + 23*o - 3/4*o**5 - 9/4*o**4. Factor i(l).
-3*(l - 2)*(l + 4)*(5*l - 1)
Let w(c) be the second derivative of -16*c + 5/6*c**4 + 1/72*c**6 + 0 + 7*c**3 + 0*c**2 + 1/6*c**5. Let a(i) be the second derivative of w(i). Factor a(m).
5*(m + 2)**2
Let d(a) be the third derivative of a**5/240 + 7*a**4/96 - 55*a**3 + 33*a**2 + 27. Solve d(i) = 0.
-40, 33
Let b(u) be the second derivative of -u**4/6 - 51*u**3 - 740*u**2 + 1747*u. Factor b(y).
-2*(y + 5)*(y + 148)
Determine k, given that 1/8*k**3 + 1/4*k**2 + 0 - k = 0.
-4, 0, 2
Let b be (-3 - (-3 + 1)) + 3. Suppose -3*d - 11*g = -6*g + 20, 16 = b*d - 4*g. Solve d*y**3 - 12 + 4*y**2 - 2*y**3 - y**3 + 5*y**2 = 0.
-1, 2
Solve 4*g**5 - 13*g**5 + 4*g**5 - 57*g**5 - 120*g**4 + 8*g**3 = 0 for g.
-2, 0, 2/31
Let t(u) be the third derivative of -u**5/20 - 533*u**4/8 + 267*u**3 - u**2 + 578. Solve t(r) = 0.
-534, 1
Factor k**2 - 42156 + 22*k**2 - 13873 - 984*k - 26*k**2 - 24659.
-3*(k + 164)**2
Let z(j) = -9*j**2 - 28*j + 94. Let y be z(2). Find o, given that 2/25*o**y + 0 + 16/25*o = 0.
-8, 0
Let x(n) be the third derivative of n**5/80 + 51*n**4/16 + 25*n**3 + 3*n**2 - 898*n. Factor x(c).
3*(c + 2)*(c + 100)/4
Let l(v) be the third derivative of -v**2 - 4/27*v**4 - 15 + 2/45*v**5 + 0*v**3 - 1/945*v**7 + 0*v**6 + 0*v. Factor l(u).
-2*u*(u - 2)**2*(u + 4)/9
Let f(o) be the first derivative of 168*o**2 + 7*o**4 - 146/3*o**3 - 2/5*o**5 + 57 - 288*o. Factor f(p).
-2*(p - 4)**2*(p - 3)**2
Let h(k) be the second derivative of k**6/10 - 63*k**5/20 + 26*k**4 - 42*k**3 - 894*k. Let h(a) = 0. Calculate a.
0, 1, 6, 14
Suppose -458*h - 2007*h + 8139 = -1721. Find a, given that 0*a - 2/3*a**5 + 2/3*a**3 - 1/3*a**h + 0 + 1/3*a**2 = 0.
-1, -1/2, 0, 1
Let o(r) = 207*r**3 - 276*r**2 - 1362*r - 153. Let i(g) = 16*g**3 - 21*g**2 - 105*g - 12. Let h(v) = -27*i(v) + 2*o(v). Determine s so that h(s) = 0.
-2, -1/6, 3
Let w = 1981787 + -1981785. Factor -841/4 - 899/4*c - 59/4*c**w - 1/4*c**3.
-(c + 1)*(c + 29)**2/4
Let q = -2043074 - -14301524/7. Suppose 0 = v - 1 - 1. Factor 4/7*a**v - q*a + 2/7.
2*(a - 1)*(2*a - 1)/7
Find p, given that -86*p**3 + 118*p + 175*p**2 + 87*p**3 + 512*p + 58*p + 533 + 151 = 0.
-171, -2
Let j(q) be the third derivative of q**5/90 + 47*q**4/36 + 172*q**3/9 - 3*q**2 - 21. Let j(h) = 0. Calculate h.
-43, -4
Let j(y) = 24*y**2 + 44*y - 4081. Let c be j(-14). Let p = 11 + -7. Solve 0 + 4*v**p + 0*v - 4/7*v**3 - c*v**5 + 0*v**2 = 0 for v.
0, 2/7
Suppose -24 = -3*y - 4*z, -3*y - 103 = 3*z - 121. Let d(b) be the third derivative of 0 + 1/10*b**5 + 0*b - 1/40*b**6 + y*b**3 - 1/8*b**4 - 3*b**2. Factor d(w).
-3*w*(w - 1)**2
Determine q, given that 252771 - 60*q - 215*q**2 - 65*q**3 - 252771 = 0.
-3, -4/13, 0
Let a(o) be the second derivative of o**7/70 + 4*o**6/25 + 57*o**5/100 + 2*o**4/5 - 2*o**3 - 24*o**2/5 - 718*o. Find z such that a(z) = 0.
-4, -2, -1, 1
Suppose -2 = r + 2*d, 4*r = 4*d - d + 25. Let q(m) be the first derivative of 14/39*m**3 - 11/13*m**2 + 8 + 10/13*m - 1/26*m**r. Factor q(h).
-2*(h - 5)*(h - 1)**2/13
Let y(b) be the third derivative of -b**5/20 + 127*b**4/8 - 63*b**3 + 9*b**2 + 161*b. Factor y(z).
-3*(z - 126)*(z - 1)
Let w(j) be the third derivative of -j**6/40 + 39*j**5/10 + 79*j**4/8 - 980*j**2. Factor w(d).
-3*d*(d - 79)*(d + 1)
Let h(n) be the third derivative of -n**8/588 + 412*n**7/245 - 94237*n**6/210 - 128132*n**5/35 - 193442*n**4/21 - 2270*n**2. Solve h(x) = 0 for x.
-2, 0, 311
Suppose 0 = 8*n + 16*n - 504. Let s be 411/15 + (24 - n). Let -10*m**4 + 0 + 32/5*m + s*m**2 + 32*m**3 = 0. Calculate m.
-2/5, 0, 4
Let z(w) be the first derivative of 3*w**5/5 + 225*w**4/4 + 1443*w**3 + 4107*w**2/2 - 854. Find h, given that z(h) = 0.
-37, -1, 0
Let t be ((-8)/(-7))/((-20)/70). Let x be t*(-8)/640*12. Let -x*n**3 + 12/5*n**2 - 3*n + 6/5 = 0. Calculate n.
1, 2
Let s(b) be the second derivative of -128*b**2 - 1/40*b**5 - 49 - 2*b - 16*b**3 - b**4. Solve s(i) = 0 for i.
-8
Let x(g) be the second derivative of 2*g**6/105 - 5*g**5/14 - 41*g**4/42 - 2*g**3/3 - 5*g - 527. What is l in x(l) = 0?
-1, -1/2, 0, 14
Let q(z) = -100*z + 140*z + 45*z**2 + 13*z**2 - z**3 - 97*z**2. Let r be q(-40). Let r + 1/3*p - 7/3*p**2 = 0. Calculate p.
0, 1/7
Let k(f) = f**2 - 2*f - 14. Let h be k(-4). Let 32*j - h*j**2 - 80 + 8*j + 2*j**2 + 3*j**2 = 0. Calculate j.
4
Let d(y) be the second derivative of -3*y**2 + 13/10*y**3 + 0 - 1/10*y**4 - 3/100*y**5 + 98*y. Let d(s) = 0. Calculate s.
-5, 1, 2
Let 9981*f**3 + 3/5*f**5 + 156024/5*f + 154443/5*f**2 + 52272/5 - 783/5*f**4 = 0. What is f?
-1, 132
Let c be -1 + 5/(-2) - -3 - 2130/(-60). Let f(q) be the second derivative of -3*q**2 - 1/4*q**4 - c*q + 0 - 3/2*q**3. Factor f(x).
-3*(x + 1)*(x + 2)
Let o(t) be the third derivative of t**7/350 + 27*t**6/200 + 201*t**5/100 + 217*t**4/40 - 147*t**3 + 11*t**2 - 92*t + 1. Solve o(j) = 0 for j.
-15, -7, 2
Find j, given that -253/2*j - 64*j**2 - 1/2*j**3 - 63 = 0.
-126, -1
Let q(t) = 16*t**2 + 26*t - 200. Let s(w) = -5*w**2 - 8*w + 66. Let y = 826 - 829. Let c(z) = y*q(z) - 10*s(z). Let c(o) = 0. What is o?
-6, 5
Let v(q) = -29*q - 141. Let t be v(-5). Let f(o) be the first derivative of -26 + 4/11*o - 5/11*o**2 - 1/22*o**t + 8/33*o**3. Find a such that f(a) = 0.
1, 2
Suppose 2*q + 2*q + 5*m = -269, 3*q + 198 = -5*m. Let s = 152 + q. Suppose -31*r**2 - 125*r**3 - 105*r**4 + r**2 + s*r**5 - 21*r**5 - 10*r**5 = 0. Calculate r.
-1/2, -2/5, 0, 3
Suppose -t - 1431 = -28*t. Let b be (-3254)/(-70) - t/265. Factor 156/7*a**4 - 18/7*a**5 + 162/7*a + 0 + b*a**2 - 432/7*a**3.
-6*a*(a - 3)**3*(3*a + 1)/7
Suppose 0*o**2 + 11403 + o**2 + 139*o - 240*o - 107*o - 587 = 0. Calculate o.
104
Let t be (4/16)/((-1)/4). Let h be ((-5)/t - 1) + 1. Determine j so that -12*j**4 + 2*j**3 + 6*j**5 - 2*j**h + 6*j**4 = 0.
0, 1/2, 1
Let t(s) = -14*s - 137. Let g be t(-10). Suppose 2*o + 2 - 8 = 0. What is v in 2*v**2 - v**g + v**2 - v**2 + 7*v**o = 0?
-1/3, 0
Let o be 60/176 - 2841/(-10417)*(-1)/3. Factor 0 + 120*u**2 - 64*u - 15/2*u**4 - o*u**5 - 193/4*u**3.
-u*(u - 1)**2*(u + 16)**2/4
Let w(c) be the third derivative of -121/7*c**4 + 0*c + 0 - 10648/21*c**3 - 1/420*c**6 - 11/35*c**5 + 18*c**2. Let w(j) = 0. What is j?
-22
Let k(r) = -3*r**5 - 30*r**4 - 35*r**3 + 30*r**2 + 45*r - 3. Let b(y) = 2*y**5 + 5*y**3 - 3. Let j(u) = b(u) - k(u). Factor j(t).
5*t*(t - 1)*(t + 1)*(t + 3)**2
Let y(p) be the first derivative of 3*p**4/8 - 1343*p**3/8 + 3015*p**2/16 - 10907. Factor y(m).
3*m*(m - 335)*(4*m - 3)/8
Suppose -132*q**2 - 294399*q**5 - 2*q + 2*q - 126*q**4 + 294402*q**5 - 193*q**3 - 68*q**3 = 0. What is q?
-1, 0, 44
Let f be ((-192)/40)/(-6)*1. Let v = 189 + -187. Solve -16/5*b - f*b**3 + 6/5 + 14/5*b**v = 0 for b.
1, 3/2
Factor -20/3*q**3 + 512/9 + 320/3*q + 386/9*q**2 + 2/9*q**4.
2*(q - 16)**2*(q + 1)**2/9
Factor 9/2*r**2 + 6 - 28*r.
(r - 6)*(9*r - 2)/2
Let s = 241888 + -241888. Factor -486/7*t + s + 108/7*t**2 - 6/7*t**3.
-6*t*(t - 9)**2/7
Let t(j) be the second derivative of j**6/105 + 9*j**5/35 + 17*j**4/42 + 2373*j. Let t(s) = 0. What is s?
-17, -1, 0
Let q(d) be the second derivative of 5*d**4/12 + 80*d**3 - 8325*d**2/2 - 4284*d. Factor q(s).
5*(s - 15)*(s + 111)
Let q be 136/14*(-189)/(-54). Factor 114*y**2 - 12*y**3 + 26*y**3 - q*y