.
5*(w - 1)**3*(w + 8)**2
Let p(o) = -o**2 - 3*o + 152. Let c be p(-15). Let u be (6 - (-45)/(-7))/(4/c). What is v in -1024/5 - 2/5*v**u - 384/5*v - 48/5*v**2 = 0?
-8
Let l(j) = 9*j**2 - 4*j + 1. Let d = 5 + -11. Let b(i) = -20*i**2 + 74*i**2 - 4*i - 30*i**2 - 20*i**2 + 2*i. Let u(r) = d*l(r) + 14*b(r). Solve u(q) = 0.
-1, 3
Determine w so that 105*w - 2*w**4 + 23*w - 315*w**2 + 681 + 92*w - 463 + 99*w**2 - 220*w**3 = 0.
-109, -1, 1
Let h(k) be the first derivative of -k**5/15 - 11*k**4/12 + 65*k**3/9 + 25*k**2/2 + 2218. Solve h(q) = 0.
-15, -1, 0, 5
Let q = 1288686 - 1288682. Factor -17150*b**3 + 390625/2 - 218750*b + 2401/2*b**q + 91875*b**2.
(7*b - 25)**4/2
Let x(a) be the third derivative of -a**6/30 + 1002*a**5/5 - 502002*a**4 + 670674672*a**3 - 2901*a**2. Factor x(v).
-4*(v - 1002)**3
Let x be (-2)/6*(-179 + -4). Let q = x + -59. Factor -35*u**2 - 18*u**4 + 5*u**q - 36*u**3 + 20*u - 38*u + 9*u - 3*u**5.
-3*u*(u + 1)**3*(u + 3)
Suppose 3*x - 3 = -4*q, q - 32*x + 35*x + 6 = 0. Suppose -b - 6 = -q*b. Find i such that 2/3*i**2 + 4/3*i + 0 - 2/3*i**b = 0.
-1, 0, 2
Suppose 1259*v - 1570*v + 2799 = 0. Factor 0 - 75/4*n**3 + 33/8*n**4 - v*n + 51/2*n**2.
3*n*(n - 2)**2*(11*n - 6)/8
Let k be (-1880)/6 - (-12)/(-18). Let h = 316 + k. Factor -1/3*c**h + 1/3*c + 2/3.
-(c - 2)*(c + 1)/3
Let q = -164 - -162. Let f be 13 + q + 18 + -26. Find t such that -6/5*t**2 + 0 - 2/5*t**f - 4/5*t = 0.
-2, -1, 0
Let q(v) be the first derivative of -v**5/50 + 4*v**4/5 - 64*v**3/5 + 512*v**2/5 - 37*v - 134. Let h(w) be the first derivative of q(w). Factor h(l).
-2*(l - 8)**3/5
Let k(l) be the second derivative of 0 - 131*l + 3/2*l**3 + 7/4*l**4 + 0*l**2. Suppose k(m) = 0. What is m?
-3/7, 0
Solve -2078 + 274*p + 2*p**2 + 1151 + 1199 = 0.
-136, -1
Factor 2 - 2 + 10448*k**2 - 20*k - 10482*k**2 - 6*k**3.
-2*k*(k + 5)*(3*k + 2)
Let b(d) be the second derivative of -2/5*d**2 + 5 - 7/15*d**3 + 2/15*d**4 - 9*d. What is t in b(t) = 0?
-1/4, 2
Let p be -2*(2 + (-5)/((-2950)/(-1135))). Let n = 181/413 + p. Factor -4/7*k**2 + 2/7*k + n*k**3 + 0.
2*k*(k - 1)**2/7
Let k(t) = -t**3 + 53*t**2 - 133*t - 48. Let v be k(3). Factor -4*f + 0 - 1/4*f**v - 17/4*f**2.
-f*(f + 1)*(f + 16)/4
Factor 3052*s + 3042*s + 142*s + 4*s**2 - 6240.
4*(s - 1)*(s + 1560)
Suppose 62*a - 2*a**3 - 7721*a**2 + 3855*a**2 + 84 + 3862*a**2 + 20*a = 0. What is a?
-7, -1, 6
Factor 984/5 + 4/5*l**2 + 988/5*l.
4*(l + 1)*(l + 246)/5
Let o = -282 - -308. What is f in o*f**4 + 128*f - 29*f**2 + 120*f**3 + 103*f**2 + 141*f**2 + 9*f**2 + 2*f**5 = 0?
-4, -1, 0
Let f be (-117)/12 - 48/192 - 88/(-5). Suppose -16/5*v**3 + f*v**2 + 0 - 12/5*v - 2*v**4 = 0. What is v?
-3, 0, 2/5, 1
Factor 0 + 155/6*i - 5/6*i**2.
-5*i*(i - 31)/6
Factor 35*a**4 + 30*a**3 + 634*a - 160*a**2 - 455*a + 5*a**5 - 339*a.
5*a*(a - 2)*(a + 1)*(a + 4)**2
Let x(k) = k**3 + 7*k**2 - 9*k + 7. Let o be x(-6). Let h = o + -94. Find l such that -16*l**3 + 36*l**2 + 4*l**4 - 9*l**3 - 5*l**3 - 10*l**h = 0.
0, 1, 9
Let j(s) be the third derivative of s**5/30 - 41*s**4/6 - 240*s**3 + s**2 - 4405. Let j(t) = 0. Calculate t.
-8, 90
Let a(l) be the third derivative of -l**7/105 - 7*l**6/60 - 7*l**5/15 - 2*l**4/3 - 8*l**2 - 231. Factor a(n).
-2*n*(n + 1)*(n + 2)*(n + 4)
Let g(k) be the first derivative of k**6/6 + 9*k**5/5 - 145*k**4/4 - 1613*k**3/3 - 1380*k**2 - 1300*k + 1603. Determine q, given that g(q) = 0.
-10, -1, 13
Suppose 294*n + 2098*n = 9568. Let -1/4*d**n - 7/4*d**3 + 0 + 1/4*d**2 + 7/4*d = 0. Calculate d.
-7, -1, 0, 1
Suppose 94*u - 222 = 60. Let q(y) be the first derivative of -8*y**2 + 0*y - 8/5*y**5 - 9 - 2/3*y**6 + 16/3*y**u + 3*y**4. Determine z so that q(z) = 0.
-2, 0, 1
Let x(g) be the third derivative of g**5/15 + 40*g**4 + 11*g**2 + 2. Factor x(d).
4*d*(d + 240)
Let b = 5634 + -5632. Let a(j) be the first derivative of 11 + 4*j**b - 12*j - 4/9*j**3. Find r, given that a(r) = 0.
3
Let z(h) = 7*h**4 + h**3 + 5*h**2 - h - 30. Let b(u) = 6*u**4 + 5*u**2 - 26. Let l(m) = 6*b(m) - 5*z(m). Let l(d) = 0. Calculate d.
-1, 1, 2, 3
Let h(v) be the second derivative of -v**4/6 - 39*v**3/2 - 153*v**2/2 - 72*v. Let a be h(-57). Let 0 + a*f**4 + 1/2*f + 12*f**3 - 11/2*f**2 = 0. What is f?
-1, 0, 1/6
Let d(h) be the second derivative of -h**4/4 - 35*h**3 + 213*h**2/2 - 4382*h. Factor d(y).
-3*(y - 1)*(y + 71)
Let v(t) be the third derivative of 0*t + 1/540*t**6 + 11/270*t**5 + 0 + 162*t**2 - 20/27*t**3 + 2/27*t**4. Factor v(u).
2*(u - 1)*(u + 2)*(u + 10)/9
Factor 1311025/6 + 1/6*t**2 + 1145/3*t.
(t + 1145)**2/6
Let w(p) be the third derivative of -p**5/20 + 589*p**4/24 - 98*p**3/3 + 27*p**2 + 2. Factor w(d).
-(d - 196)*(3*d - 1)
Let a(j) be the second derivative of j**4/66 - 614*j**3/33 + 94249*j**2/11 - 133*j. Find u, given that a(u) = 0.
307
Let v = -13689/14 - -978. Let w(s) be the second derivative of 9*s + 9/7*s**3 + 0 + 1/70*s**5 - v*s**4 - 27/7*s**2. Factor w(l).
2*(l - 3)**3/7
Let j = 117/47 - 187/94. Determine s so that -j*s - 5/3 + 1/6*s**2 = 0.
-2, 5
Let z(j) be the third derivative of -j**7/210 + 13*j**6/120 - 17*j**5/20 + 21*j**4/8 + 8526*j**2. Factor z(k).
-k*(k - 7)*(k - 3)**2
Let w(d) be the first derivative of d**8/336 + d**7/60 + d**6/30 + d**5/60 - d**4/24 - 110*d**3/3 - 39. Let t(u) be the third derivative of w(u). Factor t(b).
(b + 1)**3*(5*b - 1)
Suppose 5*w + 14 = 19. Let m be 1 - -3 - (w + -2)*2. Solve 14 - m - 4*h**2 + 38*h - h**2 + 8 = 0 for h.
-2/5, 8
What is g in -3 - 1419*g**3 + 2*g + 300*g**2 + 1421*g**3 - 293*g**2 = 0?
-3, -1, 1/2
Let r(p) be the second derivative of -3*p**5/20 + 9375*p**4/4 - 29296875*p**3/2 + 91552734375*p**2/2 - 5589*p - 2. Find a, given that r(a) = 0.
3125
Let f(x) be the second derivative of 9/110*x**5 + 2/33*x**3 + 0 + 7/66*x**4 + x + 1/33*x**6 + 0*x**2 + 1/231*x**7. Factor f(d).
2*d*(d + 1)**3*(d + 2)/11
Let l be -31*366/(-20801) + (-7)/33. Suppose 1/3*q - l*q**2 + 0 = 0. What is q?
0, 1
Let c be (420/18)/((-2)/(-3)). Suppose -7 = l - c. Factor -3*r**3 - 28*r**2 - r**3 + l*r**2 - 8*r**5 + 12*r**4.
-4*r**3*(r - 1)*(2*r - 1)
Let x = 12/1769 - 10831/1857450. Let d(o) be the third derivative of 6*o**2 + 0*o**3 + 0*o + 1/120*o**4 + 0 - 1/600*o**6 - x*o**7 + 1/300*o**5. Solve d(g) = 0.
-1, 0, 1
Let a(k) be the third derivative of 0*k - 100/3*k**3 + 18*k**2 + 0 + 5/3*k**4 - 1/30*k**5. Let a(j) = 0. What is j?
10
Let y(q) be the first derivative of 2*q**3/7 + 1073*q**2/7 + 204*q - 1489. Factor y(l).
2*(l + 357)*(3*l + 2)/7
Let i be (22032/42840)/((-9)/(-5)). Factor -2/7*g**5 + 2/7*g**2 + 0 + 2/7*g**3 - i*g**4 + 0*g.
-2*g**2*(g - 1)*(g + 1)**2/7
Let b(n) = -4*n**3 - 316*n**2 + 4*n + 324. Let i(o) = -o**2 + 2. Let a(d) = b(d) - 8*i(d). Factor a(m).
-4*(m - 1)*(m + 1)*(m + 77)
Let f(a) = 17*a**3 + 36*a**2 + 216*a + 427. Let z(y) = 54*y**3 + 108*y**2 + 648*y + 1280. Let n(b) = -16*f(b) + 5*z(b). Factor n(c).
-2*(c + 6)**3
Suppose 14*g - 145 = 191. Suppose -413 = -g*b - 29. Factor 96 - b*k + 2/3*k**2.
2*(k - 12)**2/3
Let k(q) be the first derivative of -5/9*q**3 - 35/2*q**2 + 110/3*q - 47. Solve k(r) = 0 for r.
-22, 1
Let l = 2240837/6776 + -403/968. Let -96*g**2 + l + 5508/7*g + 20/7*g**3 = 0. What is g?
-2/5, 17
Let i(v) be the second derivative of 0*v**3 - 27/4*v**5 - 5/42*v**7 + 0*v**2 + 5 + 17/6*v**6 - 75/4*v**4 - 10*v. What is n in i(n) = 0?
-1, 0, 3, 15
Let i(u) be the third derivative of -u**6/24 + 5*u**4/2 + 40*u**3/3 - 2*u**2 - 31. Solve i(f) = 0 for f.
-2, 4
Let n(q) = -q**2 + 6*q - 2. Suppose -v = -6*v + 25. Let k be n(v). Solve c**4 - 4*c + 5*c + 3*c**2 - 3 - c**2 - 4*c**3 + k*c = 0.
-1, 1, 3
Suppose 5*u + 77 - 12 = 55*q, 0 = q + 4*u + 52. Factor -36 + 3*r**2 - 1/3*r**3 + q*r.
-(r - 6)**2*(r + 3)/3
Let s(l) be the second derivative of l**4/30 - 188*l**3/15 + 8836*l**2/5 - 1369*l. What is b in s(b) = 0?
94
Let c(y) be the first derivative of y**6/240 + y**5/12 + y**4/4 - 6*y**3 + 43*y**2 + y + 1. Let q(n) be the second derivative of c(n). Factor q(l).
(l - 2)*(l + 6)**2/2
Let a(b) = b**2 - 350*b + 30586. Let x be a(168). Factor 95/3*p + 15*p**3 + 35*p**2 + 5/3*p**4 + x.
5*(p + 1)**3*(p + 6)/3
Determine c, given that -624*c**3 - 545*c**3 + 30*c**4 - 506*c**3 - 100*c - 640*c**2 + 1440*c**3 = 0.
-2, -1/6, 0, 10
Let m(s) = 26*s**2 - 840*s + 85698. Let t(q) = -56*q**2 + 1682*q - 171396. Let j(b) = 13*m(b) 