57*l + 3/4*l**4 + 0 - 3/20*l**5 + 9/2*l**3. Solve t(p) = 0.
-1, 5
Let b = 1674/5 - 3341/10. Let n(q) be the second derivative of 3*q + 1/42*q**7 + b*q**5 + 3/2*q**3 - 4/3*q**4 - 1/5*q**6 - q**2 + 0. Factor n(a).
(a - 2)*(a - 1)**4
Let d = -963 - -967. Let x(j) be the second derivative of 1/20*j**d - 3/25*j**6 + 0 + 1/5*j**3 - 21/100*j**5 + 0*j**2 - 2*j. Solve x(p) = 0.
-1, -2/3, 0, 1/2
Let c be 12 - 77/33*(-360)/(-84). Factor -1/5*v**4 + 18/5*v**c + 0*v + 0 + 17/5*v**3.
-v**2*(v - 18)*(v + 1)/5
Let n(v) = -44*v**2 + 981*v - 1666. Let x(b) = 36*b**2 - 982*b + 1668. Let u(f) = -6*n(f) - 7*x(f). Determine q, given that u(q) = 0.
-84, 5/3
Let d(b) be the second derivative of 29*b**5/5 - 38*b**4 - 16*b**3/3 + 259*b. Factor d(m).
4*m*(m - 4)*(29*m + 2)
Let g(a) = 7*a**2 + 6*a + 5. Let u be g(0). Let k be (-25)/10*(-4)/u. Let -2/13*b**3 - 4/13 + 2/13*b + 4/13*b**k = 0. Calculate b.
-1, 1, 2
Suppose b - 167 = -2*s - 0*b, 5*b - 61 = -s. Let n be 2*(-1 + s/4). Factor 8*i**2 - 4*i**4 - 4*i**3 - 41*i + n*i.
-4*i**2*(i - 1)*(i + 2)
Let l(q) = -q**2 - 3*q. Let o(x) = 2*x. Let v(i) = -l(i) - 3*o(i). Let s(k) = -54*k**2 - 91*k + 4. Let w(p) = s(p) + 3*v(p). Factor w(f).
-(f + 2)*(51*f - 2)
Let p(q) be the third derivative of 4*q**7/315 + q**6/360 - 5*q**5/36 - q**4/4 - 3166*q**2. Factor p(i).
i*(i - 2)*(i + 1)*(8*i + 9)/3
What is q in 676*q**3 + 5239 + 160*q**2 - 2048*q + 2953 - 680*q**3 = 0?
8, 16
Find n, given that -6688*n + 1905/2*n**2 + 1/2*n**4 - 39*n**3 - 7680 = 0.
-1, 15, 32
Let j(z) = -7*z**3 + 1147*z**2 - 320359*z + 12. Let r(a) = -2*a**3 + 5*a**2 - a + 4. Let f(i) = -j(i) + 3*r(i). Factor f(b).
b*(b - 566)**2
Suppose 24*c - 80 = 40. Suppose -6 = l - s - 9, 0 = 3*l - c*s - 9. Determine d, given that l*d - 1/3*d**2 - 8/3 = 0.
1, 8
Let f(h) be the first derivative of -68 + 2/3*h**3 + 512*h + 32*h**2. Factor f(m).
2*(m + 16)**2
Let o(l) = -4*l**3 - 410*l**2 + 182*l - 2470. Let r be o(-103). Factor 6/5*i**r - 16/5 + 46/5*i.
2*(i + 8)*(3*i - 1)/5
Let s(m) = 48*m**2 - 2505*m + 7776. Let c(p) = -3*p**2 + 157*p - 486. Let t(j) = -33*c(j) - 2*s(j). Determine u, given that t(u) = 0.
3, 54
Let f be (-25)/20*1144/(-1). Let u = 1432 - f. Factor 4/7*h - 2/21*h**u - 6/7.
-2*(h - 3)**2/21
Suppose -18 = 12*a + 18. Let v(r) = r**3 - 5*r - 2. Let p(x) = -x**3 + 7*x + 3. Let k(j) = a*v(j) - 2*p(j). Factor k(u).
-u*(u - 1)*(u + 1)
Factor -3/7*m**4 + 4*m**2 + 13/7*m**3 + 12/7*m + 0.
-m*(m - 6)*(m + 1)*(3*m + 2)/7
Let f be ((-432)/(-378))/(2/(2/2)). Let w = 91/20 - 157/140. Factor -4/7*l**3 + 0 - f*l**2 + w*l.
-4*l*(l - 2)*(l + 3)/7
Suppose -50*p + 112 + 69 = -69. Let w(c) be the second derivative of -1/160*c**p - 1/12*c**3 + 0*c**2 + 5/96*c**4 - 14*c + 0. Factor w(v).
-v*(v - 4)*(v - 1)/8
Let u(a) be the first derivative of -a**3 + 33*a**2/2 + 726*a - 1045. Factor u(g).
-3*(g - 22)*(g + 11)
Factor -1052/7*c - 4/7*c**3 - 204/7*c**2 + 180.
-4*(c - 1)*(c + 7)*(c + 45)/7
Let n(u) = -u + 2. Let z(o) = o**2 + 56*o + 124. Let l(p) = -4*n(p) + z(p). Find c, given that l(c) = 0.
-58, -2
Let f be (-1)/(4/(-6)) + 18/4. Suppose -d + f*d = 400. Factor d*u**2 - 53*u**2 + 80*u + 13*u**2 + 4*u**3 + u**3.
5*u*(u + 4)**2
Let a(j) be the first derivative of j**6/48 - 31*j**5/20 - 259*j**4/32 - 41*j**3/3 - 33*j**2/4 - 6746. Solve a(o) = 0 for o.
-2, -1, 0, 66
Let o(v) be the third derivative of v**5/150 + 21*v**4/5 + 251*v**3/15 - 1387*v**2. Factor o(c).
2*(c + 1)*(c + 251)/5
Let j(m) = m**2 + 8*m + 4. Let u be j(-10). Factor u*c**2 + 2930*c - 2930*c - 4*c**3.
-4*c**2*(c - 6)
Let n(g) be the third derivative of g**6/240 + 2*g**5/15 - 19*g**4/48 - 17*g**3/6 - g**2 + g + 1257. Factor n(c).
(c - 2)*(c + 1)*(c + 17)/2
Let o(a) be the third derivative of -a**8/392 + 31*a**7/147 - 27*a**6/5 + 494*a**5/15 - 592*a**4/7 + 768*a**3/7 - 1686*a**2. What is d in o(d) = 0?
2/3, 1, 2, 24
Let f(p) be the second derivative of p**6/120 - 43*p**5/10 + 9861*p**4/16 + 43*p**3/3 - 3698*p**2 + 1109*p. Factor f(z).
(z - 172)**2*(z - 1)*(z + 1)/4
Suppose 25*f = 90 + 110. Factor -6 - 200*l**2 + 60*l**3 - f + 14 - 2*l**4 - 250*l**2.
-2*l**2*(l - 15)**2
Suppose 0 = 15*u + 4*u + 9478 - 9516. Factor 27/4 + 3/8*n**u - 27/8*n.
3*(n - 6)*(n - 3)/8
Let c(t) be the third derivative of -t**5/390 + 5*t**4/78 + 1730*t**2. Factor c(x).
-2*x*(x - 10)/13
Let k(b) be the third derivative of -242*b**7/105 + 231*b**6/10 - 152*b**5/5 + 40*b**4/3 - 548*b**2. Factor k(q).
-4*q*(q - 5)*(11*q - 4)**2
Let w(m) = 17*m - 46. Let j be w(4). Suppose j = 45*z - 34*z. Solve -1/2*y**3 + 2*y**z + 0*y + 0 = 0 for y.
0, 4
Let o(c) be the second derivative of c**9/1008 - 3*c**7/280 + c**6/60 - c**3/3 + 10*c**2 - 15*c - 1. Let d(w) be the second derivative of o(w). Factor d(y).
3*y**2*(y - 1)**2*(y + 2)
Let z(q) be the first derivative of 8*q**5/25 + 183*q**4/10 - 92*q**3/15 + 79. Let z(x) = 0. Calculate x.
-46, 0, 1/4
Let p(u) = 2*u**4 - 42*u**3 - 158*u**2 - 230*u - 100. Let i(g) = g**4 - 2*g**3 + g**2. Let c(b) = 4*i(b) - p(b). Factor c(j).
2*(j + 1)**2*(j + 5)*(j + 10)
Let b be 6*12/32 + -2. Let k = 2893 - 2893. Factor k*g**2 - 1/2 + b*g**3 - 3/4*g.
(g - 2)*(g + 1)**2/4
Suppose 1150640/9*g - 168*g**3 + 288800/3 + 31414*g**2 + 2/9*g**4 = 0. What is g?
-3, -1, 380
Let d be 175/(-50)*((-240)/(-70) + -4). Let -x**d - 1/3*x**3 - 1/3 - x = 0. Calculate x.
-1
Suppose 18*z = -1155 + 5655. Let u = 250 - z. Determine p so that 0 - 1/3*p**3 + u*p + 1/3*p**2 = 0.
0, 1
Let 20344458*t + 2*t**4 - 8288410*t + 161368*t**2 + 1088*t**3 + 36284*t**2 + 11859482 = 0. Calculate t.
-181, -1
Let a = 102 + -104. Let h be 2/(-1) - ((a - -8) + -14). Factor -20*j + 9*j**2 - h*j**2 - 8*j**2 - 15.
-5*(j + 1)*(j + 3)
Determine y so that -2/7*y**3 + 0 + 600/7*y + 110/7*y**2 = 0.
-5, 0, 60
Let q(t) = -6*t**3 - 3*t - 1. Suppose i - 36 = 6*i + 4*g, -5*g - 20 = 0. Let u be q(i). What is f in u*f - 4*f**4 + 7*f**3 - 396*f - 2*f**2 - 4 + 4 = 0?
-1/4, 0, 1
Let f(r) be the first derivative of -9/16*r**2 - 1/24*r**3 + 84 - r. What is x in f(x) = 0?
-8, -1
Factor 93*q**2 + 7/2*q**3 + 279/2*q + 50.
(q + 1)*(q + 25)*(7*q + 4)/2
Let x be (((-459)/63)/(-51))/((1/1)/14). Factor 20/7*j - 50/7 - 2/7*j**x.
-2*(j - 5)**2/7
Let r(u) be the third derivative of u**5/210 + 70*u**4/3 + 137200*u**3/3 + 2047*u**2. Factor r(b).
2*(b + 980)**2/7
Factor 71*g**2 - 58*g - 1074*g**2 + 22*g + 93*g**3 - 110*g**2.
3*g*(g - 12)*(31*g + 1)
Factor 4*p**4 + 3 + 39787*p**3 - 39643*p**3 - 3 + 1296*p**2.
4*p**2*(p + 18)**2
Let o(v) = 9*v**2 - 9*v - 18. Let d = 137 - 133. Let b = 31 + -24. Let y(m) = -5*m**2 + 4*m + 9. Let r(a) = b*y(a) + d*o(a). Solve r(i) = 0.
-1, 9
Suppose -37 = -2387*b + 2313*b + 128 - 17. Determine o, given that -5/2*o**b - 5*o + 0 + 5/2*o**3 = 0.
-1, 0, 2
Let v(c) = -8*c + 66. Let d be v(8). Find w, given that 2*w**2 + 3*w**2 - d*w**2 + 13 - 14*w - 2*w**2 = 0.
1, 13
Let w be 16/(24/(-6)) + -7. Let n be (-2)/w - (-6 + (-10206)/(-1683)). Factor 40/17 + 32/17*i + n*i**2 - 2/17*i**3.
-2*(i - 5)*(i + 2)**2/17
Let x be -1 - 533/(-261) - (80 + 88236/(-1102)). Solve 0*i - 8/9*i**4 - 2/9*i**5 + 0 - 4/9*i**2 - x*i**3 = 0 for i.
-2, -1, 0
Let m(d) be the second derivative of d**4/102 + 1066*d**3/51 + 284089*d**2/17 - 1503*d. Factor m(y).
2*(y + 533)**2/17
Let w = 3871 + -2376. Let m = w + -1374. Factor m*y - 11*y**2 - 1331/3 + 1/3*y**3.
(y - 11)**3/3
Let a(d) be the second derivative of d**4/36 + 962*d**3/9 + 462722*d**2/3 - 3890*d. Factor a(v).
(v + 962)**2/3
Let y = 88866 + -444329/5. Factor 0 - 1/5*p - 3/5*p**3 - y*p**4 - 3/5*p**2.
-p*(p + 1)**3/5
Let c(o) = -15*o**3 - 2931*o**2 - 2934*o. Let h(g) = 3*g**3 + 733*g**2 + 734*g. Let v(x) = -2*c(x) - 9*h(x). Factor v(a).
3*a*(a - 246)*(a + 1)
Let x(t) be the first derivative of t**6/3 - 64*t**5/5 - 39*t**4/2 + 388*t**3/3 + 140*t**2 - 528*t + 5557. Solve x(u) = 0.
-2, 1, 2, 33
Let r(j) = j + 6. Let q be r(-6). Let z = 92016/322007 + -2/46001. Suppose q*m - z*m**2 + 2/7 = 0. What is m?
-1, 1
Let b(l) = l**3 + 3*l**2 - 16*l - 34. Let c be b(-2). Factor 206*o**2 + 46 + 148*o**2 - 222*o**2 - c*o**4 - 136*o - 40*o**3.
-2*(o - 1)**3*(o + 23)
Let c = 21874/7 - 21872/7. Solve -c*q - 60/7 + 60/7*q**2 + 2/7*q**3 = 0 for q.
-30, -1, 1
Let m = 7913 - 134515/17. Let x be 1/(-3) - (-58)/102. Solve -14/17*l**4 + x*l + m*l**3 + 14/17*l**2 - 10/17*l**5 + 0 = 0.
-1, -2/5, 0, 1