4 + 1/7*w**2 + 0*w = 0. Calculate w.
-1, 0, 1
Let h(o) = -3*o**3 + 5*o**2 - 2*o. Let i be h(2). Let d be ((-39)/195)/(2/i). Suppose -20 - d*u**5 + 136/5*u**2 - 36/5*u**4 - 56/5*u**3 + 12*u = 0. Calculate u.
-5, -1, 1
Let y(t) be the second derivative of 55/4*t**4 + 2/3*t**6 - 1 + 25/3*t**3 - 27/4*t**5 + 36*t + 0*t**2. Factor y(l).
5*l*(l - 5)*(l - 2)*(4*l + 1)
Suppose 5*r - 1 = -d - 2, -2*d = 5*r - 3. Let k be (4 - d) + 18/27. Factor 2 - 8/3*z + k*z**2.
2*(z - 3)*(z - 1)/3
Suppose 330 = -900*n + 966*n. Let g(t) be the third derivative of 32/3*t**3 + 0 + 1/60*t**n - 34*t**2 + 0*t - 2/3*t**4. Suppose g(w) = 0. Calculate w.
8
Let m(z) be the second derivative of 5*z**5/4 - 9935*z**4/12 + 11860*z**3/3 - 3950*z**2 - 1211*z + 1. Factor m(b).
5*(b - 395)*(b - 2)*(5*b - 2)
Let g(o) be the second derivative of -3/8*o**4 + 0*o**2 - 9/40*o**5 + 0 + 35*o - 1/4*o**3 - 1/20*o**6. Factor g(y).
-3*y*(y + 1)**3/2
Let u be (-3 - -1)*-2*(-507)/156. Let z = 2 - u. Factor -12*j - 5*j**2 + 3*j**2 + z - j**2.
-3*(j - 1)*(j + 5)
Let z(s) be the first derivative of 0*s**2 + 1/27*s**6 + 32/45*s**5 + 5/6*s**4 + 92 + 0*s + 0*s**3. Determine l, given that z(l) = 0.
-15, -1, 0
Let s(q) be the second derivative of -q**7/84 + q**6/4 + 39*q**5/8 + 485*q**4/24 + 75*q**3/2 + 36*q**2 + 3235*q. Suppose s(y) = 0. What is y?
-6, -1, 24
Let d(v) be the third derivative of v**8/84 + 94*v**7/21 - 596*v**6/15 + 1916*v**5/15 - 160*v**4 - 5492*v**2. Let d(f) = 0. What is f?
-240, 0, 1, 2
Let f(j) be the third derivative of 145*j**2 - 2/21*j**4 + 0 - 1/210*j**5 - 5/7*j**3 + 0*j. Factor f(p).
-2*(p + 3)*(p + 5)/7
Suppose -14*l + 1161 - 1133 = -0*l. What is w in -8*w**3 + 0 - 44/5*w**l - 4/5*w = 0?
-1, -1/10, 0
Let n = 134 - 100. Determine l so that -41*l**3 + 70*l**3 - n*l**3 - 30*l - 35*l**2 = 0.
-6, -1, 0
Let c = 703884 + -703882. Suppose 96/7 + 2/7*f**c - 14*f = 0. Calculate f.
1, 48
Let i be (3/(-5))/((-21)/(-105)). Let w be (0/4 - i)/((-27)/(-18)). Factor -1/2*r + 1/2*r**w + 0.
r*(r - 1)/2
Let b = -7414 + 7416. Let q(o) be the third derivative of 2/3*o**4 + 0*o + 11*o**b + 1/15*o**5 + 0 + 8/3*o**3. Factor q(m).
4*(m + 2)**2
Let b(w) = -64*w**2 + 4398*w + 13751. Let o(p) = 7*p**2 - 489*p - 1528. Let q(d) = -2*b(d) - 19*o(d). Suppose q(u) = 0. What is u?
-3, 102
Let q(r) be the second derivative of 5*r**7/42 - 2*r**6/3 - 11*r**5/4 - 5*r**4/2 - 4*r + 1123. Determine t so that q(t) = 0.
-1, 0, 6
Let j(d) = 7*d**2 - 3*d. Let a be (9*(4 - 7))/1. Let q = a - -22. Let y(t) = 3*t**2 - t. Let n(c) = q*y(c) + 2*j(c). Suppose n(k) = 0. Calculate k.
-1, 0
Let w(u) = u**5 + u**3 - u**2 - 4*u - 1. Let a(f) = 5*f**5 + 8*f**4 - 14*f**2 - 17*f - 6. Let m(y) = a(y) - 6*w(y). Find s, given that m(s) = 0.
-1, 0, 1, 7
Suppose 6*d**2 - 7*d**2 + 1532*d - 1781*d - 2*d**2 = 0. What is d?
-83, 0
Let i(m) = 5067*m**2 + 82965*m + 5544. Let a(g) = -183*g**2 - 2963*g - 198. Let o(d) = 111*a(d) + 4*i(d). Suppose o(t) = 0. What is t?
-1/15, 66
Let l = -342 + 344. Find t, given that -58*t**2 - 8*t**3 + 2*t**4 - 121*t + 133*t + 60*t**l = 0.
-1, 0, 2, 3
Suppose -3*f - 25 = -5*t, 199 = 2*t + f + 200. Let p = -7 + 18. Factor p*l - 3*l**t - l - l.
-3*l*(l - 3)
Factor -231*d**2 - 121*d**3 + 549*d - 484 + 504*d + 2671.
-(d - 3)*(11*d + 27)**2
Suppose 0 + 2/7*c**4 + 156/7*c + 118/7*c**2 - 36/7*c**3 = 0. What is c?
-1, 0, 6, 13
Let o = -10 - -12. Let k = 5 - 5. Factor -25/4*s + 5/4*s**o + k.
5*s*(s - 5)/4
Let q(o) be the first derivative of -o**3/7 - 1017*o**2/14 - 1014*o/7 + 634. Factor q(s).
-3*(s + 1)*(s + 338)/7
Suppose -11 + 11 = 357*w. Let s(j) be the second derivative of w*j**3 - 11*j + 0 + 8*j**2 - 1/3*j**4. Solve s(b) = 0.
-2, 2
What is l in -24334/3*l**2 + 28448*l + 46/3*l**4 - 27048 - 2/3*l**5 + 890/3*l**3 = 0?
-23, 2, 21
Let u = -311 - -314. Let -39*t**2 + 33*t**u + 31308*t - 5*t**3 + 3*t**2 - 31300*t = 0. Calculate t.
0, 2/7, 1
Let h(q) = -3*q**3 + 84*q**2 - 82*q + 35. Let r be h(27). Find p, given that 2/3*p**2 + 0 - 4*p**3 - 16/3*p**5 + 0*p + r*p**4 = 0.
0, 1/2
Let j(v) = -205*v**4 - 125*v**3 + 94*v**2 + 2*v + 6. Let l(y) = 205*y**4 + 127*y**3 - 95*y**2 - 3*y - 7. Let g(n) = -7*j(n) - 6*l(n). Factor g(f).
f*(f + 1)*(5*f - 2)*(41*f - 2)
Let m = -2148605/21 + 716204/7. Solve -x - m*x**2 + 4/3 = 0 for x.
-4, 1
Factor -172*i - 288*i - 325*i + 2*i**4 - 208*i**3 - 1195*i - 1302*i**2.
2*i*(i - 110)*(i + 3)**2
Let s(c) = -28*c**3 - 3336*c**2 - 13107*c - 13022. Let y(g) = -13*g**3 - 1666*g**2 - 6552*g - 6512. Let k(j) = 4*s(j) - 9*y(j). Factor k(o).
5*(o + 2)**2*(o + 326)
Let a = -1314975 + 9204843/7. Factor -64/7*f + 184/21 + a*f**2 - 2/21*f**3.
-2*(f - 23)*(f - 2)**2/21
Let p = 207/118 - 15/59. Determine d so that 6*d**2 + 0 + 6*d**4 + 9*d**3 + 3/2*d**5 + p*d = 0.
-1, 0
Let z(u) be the first derivative of -63/2*u**2 - 13 - u**3 - 60*u. Factor z(m).
-3*(m + 1)*(m + 20)
Let u(a) be the second derivative of -2*a**7/63 + 3*a**6/5 - 16*a**5/15 - 17*a**4/6 + 34*a**3/9 + 8*a**2 - 3*a + 230. Determine l so that u(l) = 0.
-1, -1/2, 1, 2, 12
Suppose 27*z - 131 = 2*o, 80*o - 85*o = 3*z - 25. Determine l, given that -192/5*l**4 - 4/5*l - 64/5*l**z - 42/5*l**2 - 148/5*l**3 + 0 = 0.
-2, -1/2, -1/4, 0
Let q(s) be the first derivative of -3*s**4/16 - 1389*s**3/4 + 8343*s**2/8 - 4173*s/4 - 8213. Factor q(x).
-3*(x - 1)**2*(x + 1391)/4
Let q(b) be the second derivative of -b**4/114 - 740*b**3/57 - 136900*b**2/19 - 992*b. Let q(y) = 0. What is y?
-370
Solve 1/4*a**3 + 12*a**2 + 144*a + 512 = 0.
-32, -8
Let t be 215/(-344) - (3/(-6))/(1/2). Let -t*l**2 + 3/2*l - 9/8 = 0. What is l?
1, 3
Let f(g) be the third derivative of g**6/24 + 17*g**5/12 + 125*g**4/8 + 165*g**3/2 - g**2 - 67*g. Factor f(h).
5*(h + 3)**2*(h + 11)
Let m(n) be the second derivative of -4/15*n**3 + 2 + 39*n + 1/60*n**4 - 2*n**2. Factor m(u).
(u - 10)*(u + 2)/5
Let l(o) = 65*o**3 + 1285*o**2 - 370*o - 110. Let a(q) = q**3 + 2*q**2 + 4*q - 2. Let p(b) = 55*a(b) - l(b). Let p(z) = 0. What is z?
-118, 0, 1/2
Determine s, given that 2 - 1/5*s**2 + 3/5*s = 0.
-2, 5
Let k(h) be the second derivative of -h**5/360 - h**4/72 + 2*h**3/9 + 10*h**2 + 88*h. Let f(p) be the first derivative of k(p). Determine u so that f(u) = 0.
-4, 2
Let w = -779539 - -3897713/5. Let -15*y + 3/5*y**3 + 54/5 + w*y**2 = 0. Calculate y.
-9, 1, 2
Let r be (-384)/64*2/(-18). Let m = 63 + -188/3. Suppose b - m*b**2 - r = 0. What is b?
1, 2
Factor 85/2*s**2 + 0 - 150*s + 5/2*s**3.
5*s*(s - 3)*(s + 20)/2
Let n(y) be the second derivative of y**7/504 + 7*y**6/144 - y**4/6 - 2*y**3/3 + 51*y. Let w(c) be the third derivative of n(c). Factor w(p).
5*p*(p + 7)
Find q such that 272/7*q**2 + 96/7*q**4 + 0 - 2/7*q**5 - 276/7*q**3 - 90/7*q = 0.
0, 1, 45
Let j(f) be the second derivative of 3*f**5/80 + 121*f**4/16 + 465*f**3 + 1350*f**2 + 3085*f. Let j(g) = 0. What is g?
-60, -1
Let h(p) be the second derivative of p**4/90 + p**3/3 + 26*p**2/15 + 1460*p. Determine r, given that h(r) = 0.
-13, -2
Factor 0 + 172*d**2 - 12*d - 169/3*d**3 + 14/3*d**4.
d*(d - 6)**2*(14*d - 1)/3
Let k(h) be the first derivative of 2*h**5/5 - 8*h**4 + 28*h**3/3 + 16*h**2 - 30*h - 1005. Factor k(u).
2*(u - 15)*(u - 1)**2*(u + 1)
Let w = 3203 - 32027/10. Let j(p) be the third derivative of 1/30*p**6 + 4*p**2 + 0 + 0*p - 3/35*p**7 + 0*p**3 + w*p**5 - 1/6*p**4. Factor j(t).
-2*t*(t - 1)*(t + 1)*(9*t - 2)
Let c(z) = -2*z**2 - 105*z - 1347. Let k be c(-30). Factor 87/7*t + 102/7*t**k + 3/7*t**5 + 33/7*t**4 + 3 + 138/7*t**2.
3*(t + 1)**4*(t + 7)/7
Let r(g) be the third derivative of g**6/50 - 43*g**5/100 + 61*g**4/40 + 9*g**3/5 + 8898*g**2. Factor r(s).
3*(s - 9)*(s - 2)*(4*s + 1)/5
Let v be 94/7 + 32/56. Let -69*p - v - 51*p**2 - 30 + 26 = 0. Calculate p.
-1, -6/17
Determine n, given that 2362 + 5022 - 920*n**2 - 120*n**2 - n**4 - 63*n**3 - 1624 - 2445*n - 2211*n = 0.
-40, -12, 1
Let u be -2 - (59/6 + -3 - 9). Let h(d) be the first derivative of 35 - 1/6*d**4 + 0*d + 7/12*d**2 - u*d**3. Factor h(o).
-o*(o - 1)*(4*o + 7)/6
Let m(l) be the first derivative of 3*l**5 + 339*l**4/4 + 664*l**3 + 474*l**2 - 720*l - 5451. What is b in m(b) = 0?
-12, -10, -1, 2/5
Let d(t) be the first derivative of -20*t**3 + 5*t**4 + 56*t + 4/5*t**5 - 260 - 10*t**2. Solve d(p) = 0 for p.
-7, -1, 1, 2
Determine z, given that 90 + 48*z**2 + 3/8*z**4 - 15/2*z**3 - 114*z 