s a in w(a) = 0?
-1, 0
Let h(v) = -v**2 + 86*v - 1117. Let u be h(70). Determine s, given that 8/5*s - 6/5*s**u + 32/5 - 16/5*s**2 = 0.
-2, 4/3
Let v(x) be the first derivative of x**6/39 + 8*x**5/65 - 8*x**4/13 - 44*x**3/39 + 15*x**2/13 + 36*x/13 + 192. Determine p so that v(p) = 0.
-6, -1, 1, 3
Let z(x) be the second derivative of -2*x**2 + 1/156*x**4 + 1/780*x**6 - x + 0 + 0*x**3 - 1/195*x**5. Let q(w) be the first derivative of z(w). Factor q(f).
2*f*(f - 1)**2/13
Suppose 96*v + 350 = 225*v + 92. Factor 2/9 - 2/9*q**v + 0*q.
-2*(q - 1)*(q + 1)/9
Let w be ((-3)/(-54))/(81/(-9) + 10). Let n(f) be the second derivative of w*f**4 + 1/60*f**5 + 0 + 5*f + 0*f**2 + 1/18*f**3. Find c such that n(c) = 0.
-1, 0
Let n(b) = 5*b**3 + 48*b**2 - 274*b + 7. Let s(t) = 2*t**3 + 24*t**2 - 138*t + 3. Let o(h) = 3*n(h) - 7*s(h). Factor o(g).
g*(g - 12)**2
Let b be 40/24*(198/(-75) - -3). Let o(s) be the third derivative of 4/3*s**3 - 11/6*s**4 + 5*s**2 + 0 + b*s**5 + 0*s. Let o(y) = 0. Calculate y.
2/9, 1
Let y be (22/7)/(1872/336). Let h(o) be the first derivative of -4 - 11/13*o**2 - 1/26*o**4 - 6/13*o + 4/65*o**5 - y*o**3. Find d such that h(d) = 0.
-1, -1/2, 3
Let v(k) = -k**5 + k**3 - k**2. Suppose -7*t - 13 = -27. Let w(r) = -r**5 + 6*r**4 + 3*r**3 - 26*r**2 + 16*r. Let n(b) = t*v(b) - w(b). Factor n(q).
-q*(q - 1)**2*(q + 4)**2
Suppose -n - 4*c - 78 + 62 = 0, 0 = 4*n + 2*c - 6. Let 8/11*z + 12/11*z**3 - 2/11*z**n + 0 - 18/11*z**2 = 0. Calculate z.
0, 1, 4
Let c be (-36)/(-22)*6/(-234). Let s = 340/1287 + c. Determine v, given that -s*v**2 + 0 - 2/9*v = 0.
-1, 0
Factor 2/5*h**2 - 2/5*h - 8.
2*(h - 5)*(h + 4)/5
Let z = -329 + 331. Let n(c) be the second derivative of 0*c**5 + 1/15*c**4 - 2/75*c**6 + 1/105*c**7 + 0*c**z - 1/15*c**3 + 14*c + 0. Factor n(i).
2*i*(i - 1)**3*(i + 1)/5
Let j = 13 - 21/2. Suppose 933*a + 28 = 947*a. Solve j*r + 1 + 2*r**a + 1/2*r**3 = 0 for r.
-2, -1
Let i(k) = 19*k + 81. Let n be i(-4). Factor 0*v - 4/3*v**n - 4/3*v**2 + 4/3*v**3 + 0 + 4/3*v**4.
-4*v**2*(v - 1)**2*(v + 1)/3
Let r(c) be the second derivative of 1/72*c**4 + 10*c + 1/3*c**2 + 1/9*c**3 + 0. Suppose r(h) = 0. What is h?
-2
Suppose 4*b + 15 - 23 = 0. Solve 1327*u**2 + 12*u**4 + b*u**5 - 1327*u**2 = 0.
-6, 0
Let y(j) be the first derivative of j**5/80 + j**4/12 + j**3/6 - 41*j - 37. Let d(b) be the first derivative of y(b). Factor d(g).
g*(g + 2)**2/4
Let l be 36*((-700)/88 + 8). Let r be (-3)/(-5) + (-296)/(-440). What is v in 2*v**3 + 14/11*v**4 - 4/11*v - r*v**2 + 0 - l*v**5 = 0?
-1, -2/9, 0, 1
Factor -2/11*g**2 - 26/11*g + 60/11.
-2*(g - 2)*(g + 15)/11
Let a(v) be the third derivative of -v**6/6 + 13*v**5/4 + 415*v**4/12 + 65*v**3/2 + 497*v**2. Determine d so that a(d) = 0.
-3, -1/4, 13
Let i(o) be the second derivative of -o**4/16 + 5*o**3 + 123*o**2/8 - 441*o. Find l, given that i(l) = 0.
-1, 41
Let p(u) be the third derivative of 2/3*u**3 + 0 - 1/588*u**8 - 30*u**2 + 11/105*u**6 + 2/245*u**7 + 38/105*u**5 + 0*u + 9/14*u**4. Factor p(h).
-4*(h - 7)*(h + 1)**4/7
Suppose q + 2*q = -27. Let u be (-6)/9 + (-12)/q. Factor u*v**2 + 0 + 2/9*v**4 - 2/9*v - 2/3*v**3.
2*v*(v - 1)**3/9
Let h(q) = 8*q**4 - 74*q**3 + 81*q**2 - 32*q + 51. Let f(d) = -d**4 + 9*d**3 - 10*d**2 + 4*d - 6. Let r(t) = -51*f(t) - 6*h(t). Solve r(o) = 0 for o.
0, 1, 2
Let v(s) be the second derivative of 1/56*s**4 + 7*s + 0 - 1/280*s**6 - 1/2*s**2 - 1/7*s**3 + 1/70*s**5. Let k(a) be the first derivative of v(a). Factor k(p).
-3*(p - 2)*(p - 1)*(p + 1)/7
Factor -c**2 + 1 + 121*c - 59*c + 15 - 47*c.
-(c - 16)*(c + 1)
Let v = -13493 - -67481/5. Factor -v + 4*o + 4/5*o**3 + 22/5*o**2.
2*(o + 2)*(o + 4)*(2*o - 1)/5
Let f = 9652 + -9650. Solve -2/5*t**3 - 294/5*t - 42/5*t**f - 686/5 = 0.
-7
Let j = -2051/4 - -10271/20. Find w, given that -26/15*w**3 + 8/3*w - 16/15 - 2/3*w**4 + j*w**2 = 0.
-2, 2/5, 1
Let r(h) = 4*h**5 - 25*h**4 + 33*h**3 - 8*h**2 + 5. Let d(a) = 3*a**5 + 14 - 24*a**4 + 5 - 8*a**2 + 34*a**3 - 13. Let o(c) = 5*d(c) - 6*r(c). Factor o(v).
-v**2*(v - 2)*(3*v - 2)**2
Let k = 849 + -84053/99. Let n = k + 899/396. Factor 3/4*c**3 + 9/4*c + 3/4 + n*c**2.
3*(c + 1)**3/4
Suppose 7*y + 14 = 49. Factor -1 - 4*m**2 + y + 0.
-4*(m - 1)*(m + 1)
Let b = 282 - 279. Let p(z) be the second derivative of 0 + 0*z**2 + 1/4*z**4 + b*z + 1/2*z**3. Factor p(m).
3*m*(m + 1)
Let l(q) = 2*q**4 - 3*q**3 + 6*q**2 - 10*q - 9. Let o(s) = -5*s**4 + 7*s**3 - 17*s**2 + 29*s + 26. Let r(h) = -8*l(h) - 3*o(h). Factor r(a).
-(a - 3)*(a - 2)*(a + 1)**2
Let b(n) be the third derivative of 1/15*n**3 + 1/30*n**4 + 1/150*n**5 + 0 + 8*n**2 + 0*n. Factor b(f).
2*(f + 1)**2/5
Let d(k) = k**5 - 19*k**4 - 51*k**3 - 41*k**2 - 16*k - 6. Let a = 7 + -8. Let t(y) = y**5 + y**4 - y**3 - y**2 - y - 1. Let c(v) = a*d(v) + 6*t(v). Factor c(p).
5*p*(p + 1)**3*(p + 2)
Factor 6*l**3 - 81*l**3 - 3616*l**4 + 3576*l**4 - 5*l**5.
-5*l**3*(l + 3)*(l + 5)
Let b be (1 - 6) + 1275/221. Factor 0 - 2/13*x**4 - 16/13*x**2 - 8/13*x - b*x**3.
-2*x*(x + 1)*(x + 2)**2/13
Let b(g) be the first derivative of -g**8/13440 - g**7/6720 + g**6/2880 + g**5/960 - g**3/3 + 15. Let c(d) be the third derivative of b(d). Solve c(k) = 0.
-1, 0, 1
Let w(u) be the first derivative of -8*u**3/15 + 7*u**2/10 + u/5 - 31. Factor w(m).
-(m - 1)*(8*m + 1)/5
Suppose -15*c + 839*c - 62*c + 4*c**2 + 62*c = 0. What is c?
-206, 0
Suppose 3*b - 14 = 2*b. Suppose k - 4*k + 9 = 0. Find p such that -b*p**2 + 8 - 9*p**2 - 9 + 7*p**3 + 20*p - k = 0.
2/7, 1, 2
Let d(b) be the third derivative of b**7/21 + 9*b**6/10 + 109*b**5/30 - 17*b**4 + 12*b**3 - 116*b**2 + 4. Let d(x) = 0. What is x?
-6, 1/5, 1
Let o(b) = -b**4 - b**3 + b**2 + b - 1. Let g(f) = -2*f**4 - 6*f**3 - 20*f**2 + 60*f - 36. Let t(k) = g(k) - 4*o(k). Suppose t(q) = 0. What is q?
-4, 1, 2
Let v be 7/((-14)/(-6))*5. Let r = v + -71/5. Find d such that -2/5*d - r - 16/5*d**4 - 8/5*d**3 + 4*d**2 + 2*d**5 = 0.
-1, -2/5, 1
Suppose -2*q - 2*a = -5*q + 1, -4 = -a. Find t such that -11*t**q - 11*t**3 + 19*t**3 - t**4 = 0.
-3, 0
Let k(j) be the third derivative of -j**5/60 - j**4/3 - 2*j**3 + 227*j**2. Find t such that k(t) = 0.
-6, -2
Determine c, given that 83*c**4 - 5*c**5 - 10*c**4 + 7*c**3 - 2*c**3 + 22*c**4 - 95*c**2 = 0.
-1, 0, 1, 19
Suppose -5*l + 14 + 6 = 0. Let 15*j**l + 66*j**3 - 18*j + 13*j - 61*j - 24 + 9*j**2 = 0. Calculate j.
-4, -1, -2/5, 1
Suppose 8 = 3*u + 2. Let s(a) = -a**2 + 5*a - 1. Let n be s(4). Factor -2*t**4 + t**n - 3*t**u - 11*t**2 + t + 5*t + 9*t**3.
-2*t*(t - 3)*(t - 1)**2
Let j(c) be the first derivative of -4*c**5/5 + 8*c**4 - 92*c**3/3 + 56*c**2 - 48*c + 21. Determine d so that j(d) = 0.
1, 2, 3
Let l(c) = 7*c**2 + 129*c + 6. Let n(x) = 100*x**2 + 1805*x + 85. Let u(t) = 85*l(t) - 6*n(t). Factor u(a).
-5*a*(a - 27)
Let l = -17 + 5. Let w be ((-3)/2)/(l/16). Factor -p**4 + 4 + w*p**3 - 6*p**3 - p**2 + 4*p - 2*p**2.
-(p - 1)*(p + 1)*(p + 2)**2
Let x be -333*3/(-282) - (6 - 3). Let k = x - 2/47. Factor 0 + 1/4*v**3 + 1/4*v - k*v**2.
v*(v - 1)**2/4
Let u(c) = 16*c**2 - 148*c. Let w(t) = 45*t**2 - 447*t. Let i(j) = -11*u(j) + 4*w(j). Factor i(d).
4*d*(d - 40)
Let h(p) be the second derivative of 6*p**6/25 - 12*p**5/5 + 118*p**4/15 - 8*p**3 + 18*p**2/5 - 132*p. Factor h(k).
4*(k - 3)**2*(3*k - 1)**2/5
Let o(q) = 6*q**2 + 2*q + 36. Let a(j) = 2. Let h(s) = 36*a(s) - 2*o(s). Let i(c) = -11*c**2 - 4*c. Let z(x) = 3*h(x) - 4*i(x). Determine k so that z(k) = 0.
-1/2, 0
Factor 3/4*v**2 + 0 + 15/4*v.
3*v*(v + 5)/4
Let f(b) be the third derivative of -1/900*b**6 + 0*b + 1/60*b**4 + 0*b**5 - 24*b**2 + 0 + 2/45*b**3. Find i, given that f(i) = 0.
-1, 2
Let r(z) be the first derivative of 4*z**3/3 + 32*z**2 + 112*z + 141. Solve r(i) = 0 for i.
-14, -2
Let c be 2/(-1) - (-76)/(-8) - -2. Let x = 41/4 + c. Solve x*p + 0*p**4 + 0*p**2 - 3/2*p**3 + 3/4*p**5 + 0 = 0.
-1, 0, 1
Let l(x) be the first derivative of -5*x**6/3 + 96*x**5/5 - 135*x**4/2 + 176*x**3/3 + 60*x**2 + 289. Suppose l(v) = 0. Calculate v.
-2/5, 0, 2, 3, 5
Let m be (6/(-10))/((-10)/200). Suppose 3*x = 3*h - m, 0*h - 4*x = -2*h + 10. Factor 1/6*k**h + 5/6*k**2 + 2/3 + 4/3*k.
(k + 1)*(k + 2)**2/6
Factor -8*w + 20 + 25*w - 87*w - 4*w**2 - 2*w**3 - 22*w**2 + 78.
-2*(w - 1)*(w + 7)**2
Let f(o) be the third derivative of -o**7/70 + o**6/40 + o**5/40 + 9*o**3/2 + 25*o