Find a such that f(a) = 0.
-1, 0, 1
Solve 0 - 1974*v**2 + 0 + 3947*v**2 - 24*v - 1975*v**2 = 0 for v.
-12, 0
Let f = 2/1479 - -22177/5916. Let t = 208 + -206. Find s such that 9/2*s + f*s**t + 3/4 = 0.
-1, -1/5
Let f(a) be the first derivative of 2*a**6/27 - 44*a**5/45 - 5*a**4 + 84*a**3 - 2354. Factor f(j).
4*j**2*(j - 9)**2*(j + 7)/9
Factor -170*a + 155 - 578*a**3 + 128*a - 187 - 850*a**2 - 262*a.
-2*(a + 1)*(17*a + 4)**2
Determine y so that -168 + 6*y**3 + 308*y**2 - 3*y**4 + 337*y**2 - 546*y**2 + 66*y = 0.
-4, -2, 1, 7
Let r be (3 + 3)*2/(-3). Let s be (-8)/(-6)*(-6)/r. Factor u**4 + s*u**4 - 3*u**2 + 0*u**4 + 0*u**2 - 3*u**3 + 3*u**5.
3*u**2*(u - 1)*(u + 1)**2
Let v(w) be the second derivative of w**4/12 - 647*w**3/3 + 418609*w**2/2 - 31*w - 7. What is j in v(j) = 0?
647
Let j(u) be the third derivative of -u**8/30240 + u**7/2520 + 43*u**5/12 + 135*u**2. Let r(d) be the third derivative of j(d). Suppose r(z) = 0. What is z?
0, 3
Suppose -76 = -2*k + 264. Factor -654 + 79 - 5*n**2 + 90*n + k.
-5*(n - 9)**2
Find t, given that 1326*t**2 + 2*t**3 - 3*t**3 - 1330*t**2 + 5*t = 0.
-5, 0, 1
Factor 288 + 1708/5*z - 4/5*z**3 + 264/5*z**2.
-4*(z - 72)*(z + 1)*(z + 5)/5
Let r be 42/5 - 4/10. Factor r*i**2 + 8*i**2 - 4*i**4 - 45*i**3 + 33*i**3.
-4*i**2*(i - 1)*(i + 4)
Let w(p) be the second derivative of -p**4/12 - 499*p**3/6 - 249*p**2 + 2*p - 171. Factor w(q).
-(q + 1)*(q + 498)
Let n be (8/(-42))/((-20)/245). Let p(k) be the second derivative of -n*k**4 + 14/3*k**3 + 2/5*k**5 - 21*k - 4*k**2 + 0. Solve p(x) = 0.
1/2, 1, 2
Let b(j) = -415*j + 9133. Let m be b(22). Find n such that 49*n**m + 0 + 0*n + 7/2*n**4 + 686/3*n**2 + 1/12*n**5 = 0.
-14, 0
Let d(w) = -w - 6. Let y be d(14). Let z be 12/y + (-65)/(-25). Factor -7*m**2 - 1 + 2*m**4 + 3*m**z + 3.
2*(m - 1)**2*(m + 1)**2
Suppose f - 2*t + 4 = 0, -f - 13 = -119*t + 114*t. Factor -5/6*q**f - 2/3 - 4/3*q - 1/6*q**3.
-(q + 1)*(q + 2)**2/6
Let 32*i + 14*i + 57*i - i**4 - 11*i - 80 - 11*i**3 = 0. Calculate i.
-10, -4, 1, 2
Let d(v) be the first derivative of 7 - 25*v - 59/2*v**2 - 35/3*v**3 - 5/4*v**4. Let x(n) = -n. Let k(l) = d(l) - 4*x(l). Factor k(q).
-5*(q + 1)**2*(q + 5)
Let l be ((-2)/(-14)*8)/(96/(-336)). Let b(a) = -6*a**2 + 638*a - 16224. Let o(u) = 2*u**2 - 212*u + 5408. Let t(w) = l*b(w) - 14*o(w). Factor t(r).
-4*(r - 52)**2
Let c = 42 + -62. Let q be c/(-30)*(1 - -2). Find k such that 7*k**2 + 20*k - 37*k**q - 15 + 13*k**2 + 12*k**2 = 0.
1, 3
Suppose 2*z = 13*m - 11*m + 18, -4*m = 4*z - 4. Let i = -34 - -36. Factor -1/2*l**i - 25/2 - z*l.
-(l + 5)**2/2
Let c(l) be the third derivative of -25/8*l**4 + 1/12*l**5 - 40/3*l**3 + 0*l + 0 + 42*l**2. Factor c(j).
5*(j - 16)*(j + 1)
Let 1446 + 217*o**2 - 169*o**2 - 51*o**2 - 717*o = 0. What is o?
-241, 2
Let u(c) be the second derivative of -c**7/630 + c**6/18 + 11*c**4/4 - 72*c. Let g(f) be the third derivative of u(f). Suppose g(s) = 0. Calculate s.
0, 10
Let o be (-1)/8 - (-3372)/96. Let t = o + -26. Determine n so that -n**4 + 8*n + t*n**4 - 6*n**3 - 6*n**4 = 0.
-1, 0, 2
Let x(c) be the third derivative of c**7/21 + 9*c**6/20 + 7*c**5/5 + c**4/3 - 8*c**3 - 3*c**2 - 15. Suppose x(g) = 0. What is g?
-2, 3/5
Let g(o) be the first derivative of 2*o**3/3 + 339*o**2 - 1364*o + 378. Factor g(f).
2*(f - 2)*(f + 341)
Let j(h) be the second derivative of -h**7/420 + h**6/60 + h**5/15 - h**3/3 - 9*h**2/2 - h - 60. Let p(n) be the second derivative of j(n). Factor p(a).
-2*a*(a - 4)*(a + 1)
Let z(r) be the third derivative of 0*r**4 + 2*r + 1/315*r**7 + 1/15*r**5 - 1/36*r**6 + 0*r**3 + 0 + 34*r**2. Factor z(d).
2*d**2*(d - 3)*(d - 2)/3
Determine a so that 1/2*a**4 + 23/2*a**2 + 7*a + 0 + 5*a**3 = 0.
-7, -2, -1, 0
Let v(h) be the third derivative of 72*h**2 - 1/30*h**5 + 7/12*h**4 + 0*h + 0 + 0*h**3. Let v(d) = 0. Calculate d.
0, 7
Let s(y) be the second derivative of 5*y**4/12 - 65*y**3/3 + 125*y**2/2 + 14*y - 4. Factor s(f).
5*(f - 25)*(f - 1)
Let y = 11/16 - 1/2. Let r(h) be the first derivative of -4 + h - y*h**4 + h**2 + 1/12*h**3. Solve r(v) = 0 for v.
-1, -2/3, 2
Let f(z) be the third derivative of -z**10/181440 + z**9/12960 - z**8/4032 + 107*z**4/24 - 85*z**2. Let y(i) be the second derivative of f(i). Factor y(x).
-x**3*(x - 5)*(x - 2)/6
Factor -48*q**2 + 51*q**2 + 3615*q + 2296875 + 1635*q.
3*(q + 875)**2
Factor -8270 + 8585 + 320*w + 8*w**2 - 3*w**2.
5*(w + 1)*(w + 63)
Let o(m) be the third derivative of -13*m**2 - 5/42*m**4 + 1/105*m**6 + 8/21*m**3 - 3*m + 0 - 1/15*m**5. Factor o(g).
4*(g - 4)*(g + 1)*(2*g - 1)/7
Let w = -514/5 - -104. Let s = -866 - -868. Determine y so that -2/5*y**s - w*y - 4/5 = 0.
-2, -1
Let y = -655 + 655. Let u(c) be the third derivative of 11*c**2 + y*c + 0 + 2/9*c**3 - 1/90*c**5 + 1/36*c**4. Factor u(v).
-2*(v - 2)*(v + 1)/3
Let f(r) be the first derivative of -2/9*r**4 - 1/90*r**5 + 2 + 0*r + 1/2*r**2 - 16/9*r**3. Let d(s) be the second derivative of f(s). Factor d(x).
-2*(x + 4)**2/3
Let -5778*w - 2*w**2 + 5768*w + 244 + 108 = 0. What is w?
-16, 11
Let i(w) = -2*w**2 - w - 3. Let c(u) be the third derivative of 8*u**5/15 + 145*u**4/12 + 43*u**3/3 - 3*u**2 - 35. Let m(f) = c(f) + 2*i(f). Factor m(g).
4*(g + 10)*(7*g + 2)
Let q(o) = 4*o**2 - 275*o + 884. Let n(a) = -12*a**2 + 820*a - 2656. Let z(j) = -5*n(j) - 16*q(j). What is h in z(h) = 0?
3, 72
Let q(f) be the first derivative of 3*f**6/2 - 29*f**5/5 - 93*f**4 - 272*f**3 - 224*f**2 + 144*f - 11273. Solve q(b) = 0 for b.
-2, 2/9, 9
Let d be 456/192 + 3/(-8). Let d*x**2 - 5*x**2 + 274 + 4*x**2 - 275 = 0. What is x?
-1, 1
Factor 282*j + 135*j**2 + 9*j**2 - 200*j**3 + 140 - 205*j**3 + 610*j**3 - 203*j**3.
2*(j + 1)**2*(j + 70)
Let y(q) be the first derivative of 27*q**4/10 + 198*q**3 + 5445*q**2 + 66550*q + 43. Factor y(c).
2*(3*c + 55)**3/5
Let x(d) be the second derivative of -d**6/6 + d**5 + 175*d**4/12 - 5*d**3 - 360*d**2 - 7999*d. What is w in x(w) = 0?
-3, 2, 8
Suppose -3*v + 5*z + 14 = -23, 3*v = -2*z + 2. Let c be (-6 - -12)*(v + -2). Factor -c - 4/3*w**2 - 40/3*w.
-4*(w + 1)*(w + 9)/3
Let y(i) = i**3 - i**2 - 5*i - 12. Let x be y(5). Factor 122*n - 70*n + 5*n**2 + x*n.
5*n*(n + 23)
Suppose 127*f + 60 - 201 = 113. Let i = -846 - -5934/7. Factor 16/7*z + i - 4*z**f.
-4*(z - 1)*(7*z + 3)/7
Factor -3/7*p**3 - 39/7*p**2 + 0*p + 0.
-3*p**2*(p + 13)/7
Let f(s) = -s**2 - s + 12. Let m be f(3). Factor 2069*q - 2000 + m*q**2 - 1869*q - 5*q**2.
-5*(q - 20)**2
Let j(a) be the third derivative of -1/30*a**6 + 7/48*a**4 - 1/60*a**5 + 0*a + 14*a**2 + 0 + 1/4*a**3. Factor j(t).
-(t - 1)*(2*t + 1)*(4*t + 3)/2
Let z(g) = 2355*g + 195467. Let j be z(-83). Find y such that 22/9*y**3 + 2/9*y**4 - 40/9*y + 0 + 16/9*y**j = 0.
-10, -2, 0, 1
Let z(x) be the first derivative of 2*x**6/3 - 24*x**4 - 248*x**3/3 - 114*x**2 - 72*x + 2885. Let z(j) = 0. What is j?
-3, -1, 6
Determine x, given that -1/4*x**3 - 39*x + 0 + 25/4*x**2 = 0.
0, 12, 13
Let g(v) = -7*v**2 - 291*v + 8298. Let k be g(-61). Factor -9/2*p - 1/4*p**k - 17/4.
-(p + 1)*(p + 17)/4
Let y = -500 - -530. Suppose 24*g + y = 150. What is s in -4*s**3 - 8/7*s**4 + 0*s + 8/7*s**2 + 0 + 4*s**g = 0?
-1, 0, 2/7, 1
Let f(o) be the first derivative of o**7/315 - o**6/80 + o**5/180 + 23*o**2/2 + 23. Let d(p) be the second derivative of f(p). Solve d(r) = 0 for r.
0, 1/4, 2
Let a(l) = -17*l**5 + 19*l**4 - 18*l**3 - 8*l**2 + 16*l. Let v(x) = 2*x**5 - x**4 + x**3 + x**2 - 2*x. Let f(i) = a(i) + 8*v(i). Suppose f(c) = 0. What is c?
0, 1, 10
What is k in -20/19*k - 2/19*k**2 - 50/19 = 0?
-5
Let q(b) be the second derivative of b**7/84 + 13*b**6/30 + 31*b**5/8 - 91*b**4/12 + 3*b + 135. Solve q(l) = 0.
-14, -13, 0, 1
Suppose -147*g + 1120 + 866 = 846*g. Factor -4/7*r**g + 16/7 + 0*r.
-4*(r - 2)*(r + 2)/7
Let r(i) be the second derivative of 1/21*i**4 + 6/7*i**2 + 5*i + 8/21*i**3 + 0. Let r(w) = 0. What is w?
-3, -1
Find r, given that 29/2*r**2 - 1/2*r**5 - 36*r - 5/2*r**4 + 18 + 13/2*r**3 = 0.
-6, -3, 1, 2
Factor 14 + 10*v - 2/9*v**3 - 38/9*v**2.
-2*(v - 3)*(v + 1)*(v + 21)/9
Let i(d) be the third derivative of -d**8/112 + d**7/175 + 3*d**6/8 + d**5/5 - 7*d**4/2 + 24*d**3/5 + 1799*d**2. Determine b so that i(b) = 0.
-3, -2, 2/5, 1, 4
Factor -72*s + 59 - 161*s**2 + 157*s**2 + 276 - 22 + 147.
-4*(s - 5)*(s + 23)
Let z be 7 + (-4 - -3) - (-1 +