**5 - 8/3*t**2 - b*t**4 = 0. Calculate t.
0, 1, 2
Let t be (-14)/(28/30) + 8. Let d be 7 + (-10)/(-5) + (t - -1). Determine r, given that -3/2*r**3 + d + 9/2*r + 0*r**2 = 0.
-1, 2
Let h(l) = 2*l**2 + 6*l - 8. Let f(y) = 3*y**2 + 7*y - 16. Let q(w) = 3*f(w) - 5*h(w). Factor q(a).
-(a + 1)*(a + 8)
Factor 2/11*q**4 + 0*q**2 + 0*q + 156/11*q**3 + 0.
2*q**3*(q + 78)/11
Suppose -7*d - 12 + 82 = 0. Suppose 0 = -d*u + 13*u - u. Factor 6/5*i**3 + 0 + u*i - 2/5*i**5 + 0*i**2 - 4/5*i**4.
-2*i**3*(i - 1)*(i + 3)/5
Let u(d) be the second derivative of -46*d + 11/4*d**3 + 3/2*d**4 + 0 + 3/40*d**5 + 0*d**2. Factor u(l).
3*l*(l + 1)*(l + 11)/2
Let w = 130537 - 130535. Factor -2/5*f - 1/5 + 1/5*f**4 + 2/5*f**3 + 0*f**w.
(f - 1)*(f + 1)**3/5
Let x be (-1)/((-840)/178) + (-17)/85. Let s(k) be the third derivative of 1/210*k**5 - 2*k**2 + 0*k**3 + x*k**4 + 0*k + 0. Solve s(a) = 0.
-1, 0
Solve 195/2*l**2 - 72*l - 3*l**5 - 54 + 45*l**3 - 27/2*l**4 = 0.
-6, -2, -1/2, 1, 3
Suppose b - 31 = -3*g + 5*b, 0 = 5*g + 5*b - 5. Suppose -4*d + 5*s = -21, 0 = 40*d - 35*d - 3*s - 23. Factor 0*n**d + g*n**4 - 3*n**5 - 3*n**4 + 6*n**3 + n**4.
-3*n**3*(n - 2)*(n + 1)
Let h(u) = u**2 - 2*u - 1. Let w(y) = 4*y**4 - 156*y**3 - 218*y**2 + 2628*y - 3206. Let m(n) = -6*h(n) + w(n). Let m(f) = 0. Calculate f.
-5, 2, 40
Let i(v) be the third derivative of -5*v**8/336 + v**7/42 + 5*v**6/24 + v**5/4 + 1574*v**2. Factor i(h).
-5*h**2*(h - 3)*(h + 1)**2
Let n(u) be the first derivative of u**4/14 + 148*u**3/21 - 151*u**2/7 + 152*u/7 + 5205. Determine k, given that n(k) = 0.
-76, 1
Let o be 7/21 - 38/(-3). Let -o*v + 4*v + 129 - 123 + 3*v**2 = 0. What is v?
1, 2
Factor 296*t - 11/2*t**2 + 54.
-(t - 54)*(11*t + 2)/2
Factor 0 - 2/19*a**3 - 96/19*a - 52/19*a**2.
-2*a*(a + 2)*(a + 24)/19
Let m be 2 - 7/22 - (-297)/(-363)*16/72. Factor 12*o + 21*o**2 + 0 + 21/2*o**3 + m*o**4.
3*o*(o + 1)*(o + 2)*(o + 4)/2
Let 72*u**3 - 28 + 3*u**5 - 87*u**2 + 28 - 27*u**4 + 27*u**2 + 0*u**5 = 0. What is u?
0, 2, 5
Let z = -576 + 573. Let d(t) = 13*t**2 - 67*t - 141. Let k(f) = -62*f**2 + 334*f + 706. Let a(l) = z*k(l) - 14*d(l). Let a(b) = 0. What is b?
-2, 18
Find f such that 557*f - 5*f**4 - 1127*f + 385*f**3 + 570*f = 0.
0, 77
Let o(g) be the second derivative of g**4/21 + 5192*g**3/21 + 3369608*g**2/7 - 282*g - 4. Factor o(v).
4*(v + 1298)**2/7
Factor -182 + 93 - 4*b**4 - 6*b**2 - 4*b + 3*b**4 + 5*b**3 + 97.
-(b - 2)**3*(b + 1)
Let -822*x - 252 + 9*x**2 - 1380 - 12*x**2 = 0. What is x?
-272, -2
Let r(a) be the third derivative of -a**5/12 + 145*a**4/24 + 425*a**3/3 + 229*a**2 - 5. Determine q so that r(q) = 0.
-5, 34
Let n(x) be the first derivative of 1/330*x**5 + 1 + 0*x + 0*x**3 - 4*x**2 - 1/132*x**4. Let m(g) be the second derivative of n(g). Solve m(v) = 0 for v.
0, 1
Factor 63002/15 + 2/15*d**3 - 2278/5*d + 10*d**2.
2*(d - 17)**2*(d + 109)/15
Let i = 460102/9 - 51122. Determine o, given that i*o**3 + 8/9*o + 2/9*o**4 + 0 - 14/9*o**2 = 0.
-4, 0, 1
Let x(p) be the first derivative of -15*p**3 + 13/5*p**5 + 5/4*p**4 + 19*p**2 - 1/2*p**6 - 245 - 8*p. Let x(z) = 0. Calculate z.
-2, 1/3, 1, 4
Let j(l) be the second derivative of -l**4/9 + 62*l**3/9 - 112*l**2 - 583*l - 2. Let j(b) = 0. Calculate b.
7, 24
Let s(j) be the second derivative of -35/2*j**2 + 1 + 1/12*j**4 - 17/3*j**3 - 35*j. Factor s(f).
(f - 35)*(f + 1)
Suppose -163/6 - 1/12*n**2 + 55/4*n = 0. Calculate n.
2, 163
Factor 2/13*c**4 - 8/13*c**3 + 6/13*c**2 + 0*c + 0.
2*c**2*(c - 3)*(c - 1)/13
Factor 7*q**3 - 11*q**2 + 6*q + 4*q**3 - 76*q**4 + 159*q**4 - 84*q**4 - 5*q**3.
-q*(q - 3)*(q - 2)*(q - 1)
Determine p, given that 4 + 10/11*p**3 - 104/11*p**2 - 70/11*p = 0.
-1, 2/5, 11
Let v(b) be the third derivative of -b**5/210 - b**4/12 + 26*b**3/7 - 594*b**2. Factor v(c).
-2*(c - 6)*(c + 13)/7
Let q be (2/3)/(338/(-39) - -10). Let o(w) be the second derivative of 0 + 9/4*w**2 + 9*w - 1/8*w**4 + q*w**3. Determine m so that o(m) = 0.
-1, 3
Let y(c) = -2*c**3 - 50*c**2 + 241*c + 1080. Let t(q) = q**3 + 5*q**2 + 2*q + 1. Let i(h) = -3*t(h) - y(h). Determine x so that i(x) = 0.
-3, 19
Let t(l) be the second derivative of -l**4/108 - 712*l**3/9 - 253472*l**2 - 7352*l. Factor t(p).
-(p + 2136)**2/9
Solve 0*n**4 + 1521*n**3 + 1520*n**3 + 1515*n**3 - 105*n**2 - 144*n - 4574*n**3 + 3*n**4 - 60 = 0.
-2, -1, 10
Let p(i) be the second derivative of 15/8*i**5 - 1/4*i**6 + 0*i**3 + 34 - 2*i + 0*i**2 - 125/24*i**4 + 1/84*i**7. Factor p(b).
b**2*(b - 5)**3/2
Suppose 54 + 37 + 135*b - 50 + 5*b**3 + 50*b**2 + 49 = 0. What is b?
-6, -3, -1
Let t = 1530 + -1526. Let y(s) be the third derivative of -4/9*s**3 + 1/90*s**5 + 0*s + 0 - 7*s**2 + 0*s**t. Factor y(a).
2*(a - 2)*(a + 2)/3
Let o be (-692)/1918*(6 + (-78)/15). Let x = -2/685 - o. Factor -36/7*v - x*v**2 - 162/7.
-2*(v + 9)**2/7
Let i(d) = d**2 + 8*d + 4. Let l be i(-8). Suppose -f + 15 = l*f. Determine u so that -4*u**3 + 18*u**3 + 5*u**4 + 39*u**2 + 6*u**f + 10*u - 14*u**2 = 0.
-2, -1, 0
Let j = -2/8893 + 8903/44465. Let l(w) be the second derivative of 1/30*w**6 + 0 + 1/2*w**2 - 17*w + 2/3*w**3 + j*w**5 + 1/2*w**4. Factor l(d).
(d + 1)**4
Let q(t) be the second derivative of -4*t**6/135 + 146*t**5/45 - 289*t**4/54 + 8*t**3/3 + 5*t + 9. Factor q(z).
-2*z*(z - 72)*(2*z - 1)**2/9
Let a be 390/190 - 10/190. Let l(w) be the third derivative of -1/40*w**5 + 0*w - 1/8*w**4 + 0*w**3 + 0 - 9*w**a. Determine t, given that l(t) = 0.
-2, 0
Let k(h) be the third derivative of -15/44*h**4 + 0 + 0*h + 9/110*h**5 - 25/11*h**3 - 67*h**2 - 1/220*h**6. Let k(o) = 0. Calculate o.
-1, 5
Let x be 20/2 - (12 - 8). Let i be (17/(-153))/((-7)/x). Solve i - 10/21*s + 8/21*s**2 = 0 for s.
1/4, 1
Let h(c) be the third derivative of -c**5/160 + 19*c**4/2 - 5776*c**3 - 10139*c**2. Find i, given that h(i) = 0.
304
Let j(q) = 28*q**2 + 24. Suppose 12*l + 30*l - 1008 = 0. Let v(b) = 0*b**2 - b**2 + 0 - 1. Let n(c) = l*v(c) + j(c). Factor n(s).
4*s**2
Let l be ((-96)/10)/((-69)/575). Let o = 1046/13 - l. Factor 0 + o*v + 2/13*v**2.
2*v*(v + 3)/13
Let x = 130 + -127. Suppose -1717*l - 200 - 103*l - 1294*l**x - 144*l**5 + 1228*l**4 - 4548*l**2 - 250*l**3 - 12*l**3 = 0. Calculate l.
-1, -1/4, -2/9, 5
Let t be ((-1160)/(-200))/29*(-3)/(9/(-6)). Let -4/5 + t*g - 6/5*g**3 + 8/5*g**2 = 0. Calculate g.
-2/3, 1
Let k = 3 + 0. Find v such that 270*v**2 + 91*v**3 + 29160 + 86*v**k + 3451*v + 1409*v - 172*v**3 = 0.
-18
Let k(y) = -4*y**3 + 8*y**2 - 6*y + 4. Let c(u) = 5*u**3 - 9*u**2 + 6*u - 5. Suppose -6*t + 8 = 20. Let q(z) = t*c(z) - 3*k(z). Factor q(v).
2*(v - 1)**3
Suppose -36 = -3*n + 3*o, 0 = -n - 5*o + 32 - 8. Let v be (-56)/77*(-77)/n. Factor -1/6*l**v + 0*l - 1/3*l**3 + 0*l**2 + 1/6*l**5 + 0.
l**3*(l - 2)*(l + 1)/6
Suppose -k - 47*v + 9 = -48*v, -17 = -5*k + v. Factor -26/7*p**k - 4/7*p**3 - 20/7*p + 2/7*p**4 + 0.
2*p*(p - 5)*(p + 1)*(p + 2)/7
Let l(f) = -23*f**3 + 275*f**2 - 901*f - 239. Let t(v) = 300*v**3 - 3575*v**2 + 11710*v + 3105. Let y(m) = 40*l(m) + 3*t(m). Factor y(n).
-5*(n - 7)**2*(4*n + 1)
Suppose -3*s + b + 17 = 0, -34 = s + 4*s + 4*b. What is q in 3/4*q**s + 45/2*q + 675/4 = 0?
-15
Let w(j) be the first derivative of -45/2*j**2 + 45*j - 92 + 5/4*j**4 - 5/3*j**3. Factor w(a).
5*(a - 3)*(a - 1)*(a + 3)
Suppose -14*q + 17*q = 12, 3*c = -q + 148. Let y(m) = 4*m - 2. Let t be y(4). Factor -c*x**4 - t*x**2 + 18*x**3 + 38*x**4 + 3*x + x + 2*x**5.
2*x*(x - 2)*(x - 1)**3
Suppose -96*o + 125*o = 348. Let u(r) be the first derivative of 0*r**2 + o + 0*r - 1/4*r**4 + 1/3*r**3. Let u(i) = 0. What is i?
0, 1
Let l(j) be the third derivative of -j**7/42 + 11*j**6/8 - 27*j**5/2 - 7*j**2 - 263. Factor l(g).
-5*g**2*(g - 27)*(g - 6)
Let a(n) be the third derivative of n**6/1800 + n**5/200 + n**4/60 + 4*n**3/3 + 81*n**2. Let m(s) be the first derivative of a(s). Solve m(q) = 0 for q.
-2, -1
Solve 392/15*w**3 + 232/3*w - 2/15*w**4 - 388/5*w**2 - 386/15 = 0.
1, 193
Let v(r) be the first derivative of -r**6/900 - r**5/150 + r**4/20 - 13*r**3 + 135. Let l(w) be the third derivative of v(w). Factor l(q).
-2*(q - 1)*(q + 3)/5
Suppose -59072*q**2 + 4895784*q - 3*q**4 + q**4 + 282506 - 1319306 + 704*q**3 - 5402664*q = 0. What is q?
-4, 180
Suppose 368/19*s + 248/19 - 1494/19*s**2 + 892/19*s**3 - 14/19*s**4 = 0. Calculate s.
-2/7, 1, 62
Let h(b) be the third der