03*r**3/33 + 2401*r**2/11 + 1254*r. Factor s(d).
2*(d - 49)**2*(d + 1)/11
Let t(s) = -8*s**2 + 183*s - 367. Let o(d) = 17*d**2 - 362*d + 733. Let m(y) = -3*o(y) - 7*t(y). Solve m(w) = 0 for w.
2, 37
Suppose 0 = 8*f + 23*f - 62. Determine i, given that 0*i + 136*i**2 + 54*i + 3*i**3 - 109*i**f = 0.
-6, -3, 0
Let g(a) be the first derivative of 1/5*a + 0*a**3 - 1/25*a**5 + 1/5*a**2 - 1/10*a**4 + 145. Solve g(m) = 0 for m.
-1, 1
Let t(h) = -19*h**2 + 10*h - 30. Let n be t(3). Let w be 1159/n + 11 + -4. Find u, given that 0 - 14/9*u - w*u**2 = 0.
-7, 0
Suppose -30*j = -34*j - 12. Let m = 5 + j. Find b, given that -30*b**m + 3*b - 2*b**3 + 36*b**2 + 5*b**3 = 0.
-1, 0
Let o(b) be the first derivative of 12/11*b - 7/11*b**2 + 5/22*b**4 - 16/33*b**3 - 191. Factor o(v).
2*(v - 2)*(v + 1)*(5*v - 3)/11
Let w(r) be the first derivative of -r**3/8 + 15*r**2/2 - 333*r/8 - 122. Factor w(j).
-3*(j - 37)*(j - 3)/8
Let n(r) be the second derivative of -r**4/21 - 244*r**3/21 + 750*r**2/7 + 142*r. Let n(b) = 0. Calculate b.
-125, 3
Suppose 2*i + 4*b = -0*i - 2, -10 = -4*i - b. Suppose i*n = -6*n + 999. Factor 2*q**2 - q + 17 + 2*q + 31*q + n.
2*(q + 8)**2
Let p(g) be the second derivative of -g**4/6 + 31*g**3/2 + 245*g**2/2 + 3190*g. Find d such that p(d) = 0.
-5/2, 49
Suppose 0*o = o - 4*o. Suppose -2*u + 18 = -o*c + 4*c, 4*u = -4*c + 24. Factor -516 + 6*j**2 - j**3 + 516 - 2*j**3 - u*j.
-3*j*(j - 1)**2
Let f(z) = -2*z**3 + 329*z**2 - 3520*z + 155. Let s be f(153). Determine r, given that 2*r - 1/5*r**s - 5 = 0.
5
Factor 4/7*r**4 + 60/7*r**3 - 24*r**2 + 0 - 544/7*r.
4*r*(r - 4)*(r + 2)*(r + 17)/7
Let t(y) be the first derivative of 13/30*y**5 + 29 - 4/3*y - 1/18*y**6 + 1/3*y**2 + 11/9*y**3 - 29/24*y**4. Find x, given that t(x) = 0.
-1/2, 1, 2
Let l(s) be the third derivative of s**6/24 + 167*s**5/30 + 1343*s**4/6 - 1156*s**3 + 1241*s**2. Factor l(c).
(c + 34)**2*(5*c - 6)
Let z(w) be the first derivative of -w**6/15 + w**5/5 + 19*w**4/6 + 28*w**3/3 + 12*w**2 - w + 24. Let i(f) be the first derivative of z(f). Factor i(p).
-2*(p - 6)*(p + 1)**2*(p + 2)
Let w be 9/(-66)*-17*44/561. Suppose -w*t**4 + 0 + 2/11*t**3 + 0*t**2 + 0*t = 0. Calculate t.
0, 1
Let l(d) be the second derivative of d**7/147 - d**6/35 + 3*d**5/70 - d**4/42 + 82*d + 3. Factor l(t).
2*t**2*(t - 1)**3/7
Suppose -45*x = -85*x - 17*x. Determine h so that 4/3*h**4 + 0*h + 18/5*h**3 + x + 2/15*h**5 + 12/5*h**2 = 0.
-6, -3, -1, 0
Let c = -215561 - -215564. Find d such that -28/3*d**c - 4*d**4 - 32/3*d**2 - 2/3*d**5 - 4/3 - 6*d = 0.
-2, -1
Factor -47*y**3 - 342*y + y**3 - 16*y**3 - y**4 - 291*y**2.
-y*(y + 2)*(y + 3)*(y + 57)
Determine q so that -60*q + 72*q**2 - 135*q**2 - 56 + 66*q**2 - 7 = 0.
-1, 21
Let i(d) be the first derivative of d**4/2 + 8*d**3/3 - 315*d**2 + 3564*d - 10808. Factor i(u).
2*(u - 9)**2*(u + 22)
Let r(s) be the second derivative of s**8/2520 + s**7/420 + 15*s**3/2 + 89*s. Let c(b) be the second derivative of r(b). Factor c(k).
2*k**3*(k + 3)/3
Let -15717/5*o**2 + 823728/5 + 4115496/5*o + 3*o**3 = 0. Calculate o.
-1/5, 524
Let o(u) be the first derivative of u**4/26 - 134*u**3/39 - 356*u**2/13 - 576*u/13 - 2340. Factor o(s).
2*(s - 72)*(s + 1)*(s + 4)/13
Let g(s) = 3*s**3 - s**2 - 2*s. Let d = 36 - 34. Let m(f) = -24*f - 8*f**2 + 7*f - d*f**3 + 27*f**3. Let t(a) = -51*g(a) + 6*m(a). Let t(v) = 0. What is v?
0, 1
Let v(k) be the second derivative of k**7/378 + 7*k**6/135 + k**5/18 - 11*k**4/27 - 67*k**3/54 - 13*k**2/9 - k + 528. Factor v(n).
(n - 2)*(n + 1)**3*(n + 13)/9
Factor 186*t + 1623 - t - 5*t**3 - 2043.
-5*(t - 4)*(t - 3)*(t + 7)
Let u be (-29180)/(-5920) + 48/(-888) - 5 - (-2)/16. Let -3/7*z**3 + u + 0*z + 0*z**2 = 0. What is z?
0
Let q(s) = 2*s**3 + 2*s**2 + 27*s - 3. Let t(a) = -4*a**3 - 4*a**2 - 28*a + 4. Let w(z) = 4*q(z) + 3*t(z). Factor w(c).
-4*c*(c - 2)*(c + 3)
Solve 0 - 2/9*b**3 + 3248/9*b**2 - 1318688/9*b = 0.
0, 812
Let f = 141 + -137. Factor 59049*w + 86*w**4 + 243*w**3 - 3306*w**2 - 89*w**f - 3255*w**2.
-3*w*(w - 27)**3
Find p, given that 0 - 264/5*p - 3/5*p**4 + 18*p**2 + 27/5*p**3 = 0.
-4, 0, 2, 11
Let b(y) be the first derivative of -15*y**2 - 5/3*y**3 - 40*y - 42. Solve b(l) = 0 for l.
-4, -2
Let v(k) be the second derivative of k**7/23940 + k**6/2280 - 7*k**5/285 + k**4/4 - 15*k**2 + 2*k + 6. Let m(b) be the third derivative of v(b). Factor m(h).
2*(h - 4)*(h + 7)/19
Suppose -346*n**4 - 16 - 353*n**4 - 347*n**4 - 28*n + n**3 + 3*n**2 - 15*n**2 + 1047*n**4 = 0. Calculate n.
-2, -1, 4
Let h = -1170054 + 1170057. Factor -3/4*o**h - 2 - 7/2*o**2 - 5*o.
-(o + 2)**2*(3*o + 2)/4
Let v(g) = -g**2 + 2. Let k(q) = q**4 - 1696*q**3 + 959367*q**2 - 181319800*q + 180362131. Let y(p) = -k(p) + 3*v(p). Factor y(j).
-(j - 565)**3*(j - 1)
Let s(j) = j**3 + 22*j**2 + 16. Let b be s(-22). Let o be (-2 - (-39)/24) + 130/b. Let -7/4*d**5 + 3/2*d + o*d**2 + 0 + 37/4*d**3 + 5/4*d**4 = 0. Calculate d.
-1, -2/7, 0, 3
Let b = -381 + 385. Solve -111*o**2 - 22*o**3 + 161*o - 46*o**2 - 557*o - 324 + 147*o**4 - 148*o**b = 0.
-9, -2
Let c = 2621/99 - 238/9. Let d(o) be the second derivative of 15*o + c*o**3 + 0 + 2/11*o**2 - 1/66*o**4. Factor d(g).
-2*(g - 2)*(g + 1)/11
Let m(d) = -15*d**3 + 88*d**2 - 56*d + 34. Let t(v) = 5*v**3 - 29*v**2 + 18*v - 12. Let j(q) = -6*m(q) - 17*t(q). Factor j(f).
5*f*(f - 6)*(f - 1)
Let d = -96241/3 - -32081. Let y(h) be the first derivative of 1/9*h**3 - 5/3*h - d*h**2 - 18. Determine q, given that y(q) = 0.
-1, 5
Suppose 9*r = 15*r - 1728. Let h = r + -863/3. Factor h + 1/3*t**2 - 2/3*t.
(t - 1)**2/3
Suppose -t - 14*i + 11*i = -1442, -4*t - 3*i = -5750. Let o = t - 12920/9. Determine f so that o*f**3 - 28/9*f**2 - 20/9 + 44/9*f = 0.
1, 5
Suppose -340 = -48*z - 20*z. Factor 15 - 65*k + 4*k**2 + 97*k - 56*k + z.
4*(k - 5)*(k - 1)
Suppose 23*f + 30 - 168 = 0. Let j(h) be the second derivative of 2/3*h**f + 0*h**3 + 4/5*h**5 + 4/21*h**7 + 0*h**2 + 4*h + 1/3*h**4 + 0. Factor j(o).
4*o**2*(o + 1)**2*(2*o + 1)
Let 541*x**3 + 232*x**2 - 149*x**5 - 176*x - 246*x**2 - 842*x**2 - 1433*x**3 + 191*x**5 - 170*x**4 = 0. What is x?
-2, -1, -2/7, 0, 22/3
Let s(y) be the third derivative of -y**6/480 - y**5/12 - 17*y**4/24 - 8*y**3/3 + 705*y**2. Factor s(i).
-(i + 2)**2*(i + 16)/4
Let w = 819 + -1449. Let d = -1888/3 - w. Factor 1/3*t**2 - 1 + d*t.
(t - 1)*(t + 3)/3
Let s(j) be the third derivative of j**8/10080 - j**7/2520 - j**6/2160 + j**5/360 - 13*j**3/6 + 3*j**2. Let v(f) be the first derivative of s(f). Factor v(n).
n*(n - 2)*(n - 1)*(n + 1)/6
Let x(f) be the third derivative of f**6/200 - 3*f**5/50 + 9*f**4/40 - 2*f**3/5 - 11*f**2 - 37*f. Factor x(g).
3*(g - 4)*(g - 1)**2/5
Let q be (46/(-8))/((-70)/(-616))*-18. Let f = q + -909. Factor -12/5*b - f - 3/5*b**2.
-3*(b + 1)*(b + 3)/5
Let r(m) be the third derivative of m + 4/315*m**7 - 1/252*m**8 + 1/30*m**6 - 3*m**2 - 2/9*m**4 + 0 + 0*m**3 - 4/45*m**5. Solve r(g) = 0.
-1, 0, 2
Suppose 13*b - 9 = 35 - 5. Let x(h) be the second derivative of -10/3*h**b - 15/2*h**2 + 0 - 18*h - 5/12*h**4. What is z in x(z) = 0?
-3, -1
Suppose 4*k - 5*p - 269 = 0, 5*p + 0*p - 97 = -2*k. Factor k + 360*g - 5*g**2 - 365*g - 1.
-5*(g - 3)*(g + 4)
Suppose 3*z + 44 = 5*r, -2*r - 7555 + 7595 = -4*z. Suppose -10/7*c**3 + 0 + 8/7*c**r - 2/7*c**5 + 0*c + 4/7*c**2 = 0. Calculate c.
0, 1, 2
What is w in 1/4*w**2 + 425/4*w - 213/2 = 0?
-426, 1
Find g, given that 311/3 - 1/6*g**2 + 103/2*g = 0.
-2, 311
Let v(u) = 17*u**2 + 98*u + 453. Let d(k) = 16*k**2 + 84*k + 452. Let c(l) = 13*d(l) - 12*v(l). Determine i, given that c(i) = 0.
10, 11
Solve -2/11*t**4 - 130/11*t**3 - 34*t - 378/11*t**2 - 124/11 = 0.
-62, -1
Let h(j) be the second derivative of -19/16*j**4 - 170*j - 9/160*j**5 - 3/2*j**3 + 0 + 0*j**2. Factor h(t).
-3*t*(t + 12)*(3*t + 2)/8
Let n(u) be the first derivative of -u**6/12 + 7*u**5/10 - 9*u**4/8 - 23*u**3/6 + 25*u**2/2 - 12*u + 102. Let n(w) = 0. Calculate w.
-2, 1, 3, 4
Let l(s) be the first derivative of -16*s + 4/33*s**3 - 36 + 1/66*s**4 - 5/11*s**2. Let k(a) be the first derivative of l(a). Solve k(y) = 0.
-5, 1
Let d(p) = -4*p - 2 - 13 - 4*p - 17. Let a be d(-6). Factor 14*v + 30*v + a*v**3 - 52*v**2 + 455 - 463.
4*(v - 2)*(v - 1)*(4*v - 1)
Let x = 563765 + -5073857/9. Find l, given that 2/3*l**4 - 4/9*l**2 + 2*l**5 - x*l**3 -