hat y(v) = 0.
-1, 1, 41/4
Suppose -50*r + 17 = -183. Factor -4*d**4 + 2*d**4 + 2*d**4 - 2*d - d**r + d**2 + 2*d**2.
-d*(d - 1)**2*(d + 2)
Factor 633 + 53*q - 46*q - 117 + 36*q**2 - 287*q.
4*(q - 3)*(9*q - 43)
Let r(a) be the first derivative of -a**4/14 - 10*a**3/7 - 32*a**2/7 + 96*a/7 - 3677. Determine v, given that r(v) = 0.
-12, -4, 1
Let h(n) be the third derivative of n**8/336 - n**7/14 + 2*n**6/5 - 11*n**5/15 - 57*n**2 - 5*n. Suppose h(l) = 0. Calculate l.
0, 2, 11
Let j(z) = 74*z**2 + 1056*z - 227. Let g(h) = -49*h**2 - 705*h + 151. Let s be (-45)/(-18) + 5/2. Let q(a) = s*j(a) + 7*g(a). Factor q(p).
3*(p + 13)*(9*p - 2)
Let v(u) be the second derivative of u**4/6 + u**3/3 - 30*u**2 + 1016*u. Let v(w) = 0. Calculate w.
-6, 5
Let p = -630/17 - 3139/102. Let d = p - -208/3. Let 21*c**3 - 3*c**2 - 45/2*c + d*c**5 - 21/2*c**4 + 27/2 = 0. Calculate c.
-1, 1, 3
Suppose -3*w - 38*x + 272 = -34*x, -2*w - 5*x = -193. Let y be (-24)/231 - (-24)/w. Determine c so that 10/11*c**2 - 8/11*c**3 + 0 + y*c**4 - 4/11*c = 0.
0, 1, 2
Let w(h) = h**4 - h**3 + h**2 - h. Let t(o) = o**5 - 56*o**4 + 420*o**3 - 946*o**2 + 845*o - 264. Let j(f) = 2*t(f) + 6*w(f). Factor j(a).
2*(a - 44)*(a - 6)*(a - 1)**3
Let f(q) be the third derivative of -243*q**8/140 - 18*q**7/175 - q**6/600 - 2530*q**2. Suppose f(j) = 0. What is j?
-1/54, 0
Let s(x) be the second derivative of -1/30*x**5 + 1/18*x**4 - 15*x - 3 + 0*x**2 + 2/3*x**3. Suppose s(t) = 0. What is t?
-2, 0, 3
Suppose -3*h + 5 = -2*h. Suppose h*w + 8 = 508. Let -2*c**2 - w - 36*c + 11*c - 15*c - 2*c**2 = 0. Calculate c.
-5
Let w = -7184384/45 + 159643. Let h = -88/9 - w. Find d such that 3/5*d + h*d**3 - 4/5*d**2 + 0 = 0.
0, 1, 3
Factor 0 + 4/9*l**2 + 392/9*l.
4*l*(l + 98)/9
Let z = -5332 + 319921/60. Let i(g) be the third derivative of -1/6*g**4 + 5/6*g**3 + 0*g + 0 - z*g**5 - 6*g**2. Factor i(a).
-(a - 1)*(a + 5)
Let k(r) be the second derivative of -r**4/32 - 21*r**3/4 + 255*r**2/16 + 1044*r. Suppose k(f) = 0. Calculate f.
-85, 1
Let i = 269 + -265. Suppose 4*g + 190 + 2*g**i - 4*g**3 + 190 - 382 = 0. Calculate g.
-1, 1
Let x be ((-228)/(-18))/(133/57) + 20/(-70). Solve -2/7*m + x*m**2 + 0 = 0.
0, 1/18
Let b be (-2 - -3)/1 + 10. Let i be 3 + 2 - (b + -12). Suppose 6*t**4 + 72 + 10*t**2 + 124*t**2 + i*t**4 - 53*t**3 + 110*t**3 + t**5 + 156*t = 0. What is t?
-3, -2
Let l be (-1)/(-13)*(-8452)/20. Let n = -161/5 - l. Factor -2/13*r**5 + 0*r**2 + 0*r - 6/13*r**4 - n*r**3 + 0.
-2*r**3*(r + 1)*(r + 2)/13
Let t be 2/(1 - -1) + 1401 + -2. Determine r, given that 661*r + 156*r**2 + t - 1111*r**3 + 44 + 1115*r**3 + 935*r = 0.
-19, -1
Let u(p) be the third derivative of 17*p**4/24 - 37*p**2 + 5. Let q be u(0). Factor 0*o + q + 3/2*o**3 + 3/4*o**4 + 3/4*o**2.
3*o**2*(o + 1)**2/4
Factor -314/3*d + 1/3*d**2 - 105.
(d - 315)*(d + 1)/3
Let i(r) be the third derivative of r**6/320 - 29*r**5/160 + 119*r**4/64 + 1445*r**3/16 - 42*r**2. Find j such that i(j) = 0.
-5, 17
Let x = -15337/60 - -1023/4. Let r(k) be the first derivative of 4 - 1/18*k**6 + 0*k + 0*k**2 - x*k**5 + 2/9*k**3 + 1/12*k**4. Suppose r(c) = 0. What is c?
-2, -1, 0, 1
Let t(b) = 4*b - 112. Let r be t(26). Let m(k) = -2*k**3 - 6*k. Let q(c) = c**3 + 2*c. Let n(a) = r*q(a) - 3*m(a). Factor n(y).
-2*y*(y - 1)*(y + 1)
Factor 130*i + 0 - 5/2*i**2.
-5*i*(i - 52)/2
Let t be (-2968)/1060*9/(162/(-30)). Factor 2/3*j**3 - 8/3*j**2 - t*j + 20/3.
2*(j - 5)*(j - 1)*(j + 2)/3
Let n = -340 + 343. Suppose -n*u + 5*u = -10*u. Factor 4/7*g**2 + u*g + 0 - 2/7*g**4 + 2/7*g**3.
-2*g**2*(g - 2)*(g + 1)/7
Let j(b) = -b**3 - 47*b**2 - 569*b - 475. Let w be j(-25). Factor 0*h + 0 + 0*h**2 + w*h**3 - 1/6*h**5 + 1/6*h**4.
-h**4*(h - 1)/6
Factor s**4 - 1/2*s**5 - 280*s + 800 - 58*s**2 + 47/2*s**3.
-(s - 4)**3*(s + 5)**2/2
Let d(b) be the second derivative of -b**6/15 - 18*b**5/5 - 17*b**4/3 + 12*b**3 + 35*b**2 + 121*b - 13. Factor d(i).
-2*(i - 1)*(i + 1)**2*(i + 35)
Let b be 45/12*816/1836. Determine i, given that 5/3*i**2 + 100/3 + b*i**3 - 80/3*i = 0.
-5, 2
Let n(q) be the third derivative of q**5/180 - 77*q**4/72 - 79*q**3/9 + q**2 - 79*q + 3. Factor n(v).
(v - 79)*(v + 2)/3
Let h be 1 - (-9)/(54/24). Suppose 0 = -9*a + 32 - h. Find w, given that 1/4*w**2 + 1/4*w - 1/4 - 1/4*w**a = 0.
-1, 1
Let x(w) be the third derivative of -w**5/12 - 20*w**4 - 475*w**3/6 - 1741*w**2. Find s such that x(s) = 0.
-95, -1
Factor -4/17 + 42/17*i + 100/17*i**2.
2*(2*i + 1)*(25*i - 2)/17
Let q(v) = v**3 - 9*v**2 - 16*v + 16. Let w be q(10). Let c = w - -388. Solve 5*f**2 + 4 + 26 - c*f + 180*f + 189*f = 0 for f.
-3, -2
Let y = 147646/21 - 7030. Let a(j) be the second derivative of 1/210*j**5 + 6*j + 1/18*j**4 - y*j**2 + 8/63*j**3 + 0. Factor a(i).
2*(i - 1)*(i + 4)**2/21
Let s(o) = 30*o + 215. Let t be s(-7). Let z(y) be the first derivative of -8*y**2 + 8*y**3 + 4/5*y**t + 4*y + 6 - 4*y**4. Find d such that z(d) = 0.
1
Let i be 14/21*(12/2 - 3). Suppose -2*p - i*p = -20. Determine k so that 1/6*k**4 - 1/2*k**3 + 1/3*k - 1/6*k**2 + 0 + 1/6*k**p = 0.
-2, -1, 0, 1
Let x = -9550 - -9550. Let o(r) be the third derivative of x + 1/180*r**5 - 22*r**2 + 0*r + 1/24*r**4 - 2/9*r**3. Solve o(i) = 0 for i.
-4, 1
Let v = 210795 - 210787. Find a, given that 2*a - 4*a**4 + 0 + v*a**3 + 2/3*a**5 - 20/3*a**2 = 0.
0, 1, 3
Let d(c) = -7*c + 413. Let h be d(59). Let l(f) be the second derivative of 0 - 1/45*f**3 - 1/45*f**4 + 1/50*f**5 - 11*f + h*f**2. Find x, given that l(x) = 0.
-1/3, 0, 1
Let o be (7441/(-35079))/(3/(-22)). Factor 2/9*j**2 + o*j + 20/9.
2*(j + 2)*(j + 5)/9
Let a(p) = p**3 + 3*p**2 - 6*p - 1. Let i be a(2). Let x be i/(-28) + (-995)/(-140). Solve -x*w**2 + 20/7*w**3 - 2/7*w**4 + 44/7*w - 2 = 0 for w.
1, 7
Let j(o) = 8*o**2 + 7*o + 15. Let g be j(-2). Determine q, given that -34*q + 15*q**4 + 91*q + 29*q**3 - 28*q - g*q - 4*q**2 = 0.
-2, -1/3, 0, 2/5
Let a = -152 + 154. Let j(m) = 16*m**3 + 11*m**2 - 7*m - 7. Let z(q) = 5*q**3 + 4*q**2 - 2*q - 2. Let n(g) = a*j(g) - 7*z(g). Factor n(r).
-3*r**2*(r + 2)
Factor -13/3*f**2 - 1/3*f**3 - 10/3*f + 8.
-(f - 1)*(f + 2)*(f + 12)/3
Let j be -6 + 12 + 2 + (2 - 6). Suppose 3*z + j*z = -z. Solve -1/6*k**2 + z + 2/3*k = 0 for k.
0, 4
Let u be ((-26)/13)/(3 - 15/6). Let v(f) = 3*f + 17. Let b be v(u). Factor 0 + 0*x + 5/3*x**3 + b*x**2.
5*x**2*(x + 3)/3
Let b(z) be the second derivative of -152/21*z**3 - 2 - 1/21*z**4 - 6*z - 2888/7*z**2. Let b(k) = 0. What is k?
-38
Factor 117*x - 297*x - 4*x**2 - 23 + 132 - 29 + 296.
-4*(x - 2)*(x + 47)
Let c be (-10)/12*2106/(-585). Let n(k) be the first derivative of -2/13*k**2 + 0*k + 14/39*k**c - 4. Factor n(s).
2*s*(7*s - 2)/13
Let w(o) be the first derivative of -o**9/5040 - o**8/2800 + o**7/700 + 7*o**3/3 - 85. Let n(g) be the third derivative of w(g). Suppose n(u) = 0. Calculate u.
-2, 0, 1
Let g(j) be the first derivative of 5*j**4/12 - 400*j**3/9 + 385*j**2/6 + 790*j/3 - 2152. Factor g(p).
5*(p - 79)*(p - 2)*(p + 1)/3
Let z(b) be the third derivative of -b**7/15 - 109*b**6/20 + 773*b**5/30 - 179*b**4/4 + 98*b**3/3 + 1821*b**2. Find o such that z(o) = 0.
-49, 2/7, 1
Find l, given that -14*l + 13*l - 3*l**3 - 33*l**2 + 7*l - 36*l = 0.
-10, -1, 0
Let x(q) be the first derivative of 25/3*q**3 - 3/4*q**4 - 4/5*q**5 - 3*q**2 + 177 + 0*q. Factor x(u).
-u*(u - 2)*(u + 3)*(4*u - 1)
Let m(z) be the first derivative of -3/16*z**4 + 0*z + 1/8*z**3 - 53 + 3/8*z**2 - 3/40*z**5. Factor m(f).
-3*f*(f - 1)*(f + 1)*(f + 2)/8
Suppose 0 = 490*o - 282 + 77 - 1265. Determine n so that 12*n**5 - 42*n**4 - 621/4*n**o - 9/2 - 141*n**2 - 177/4*n = 0.
-1, -1/4, 6
Let v be ((-4)/((-36)/27))/((-2)/(-16)). Find b, given that -v*b**4 + 24*b + 31*b - 6*b**4 + 108*b**3 + 41*b - 168*b**2 + 3*b**5 = 0.
0, 2, 4
Let -1025 + 1029*i - 779 - 88*i**2 - 106*i**2 + 6*i**2 - 3019*i - 2*i**3 = 0. What is i?
-82, -11, -1
Let w(b) be the first derivative of b**6/120 + b**5/80 - b**4/24 + 63*b + 61. Let q(a) be the first derivative of w(a). Find j such that q(j) = 0.
-2, 0, 1
Let v(u) be the first derivative of 0*u**2 + 1/360*u**6 + 0*u**4 + 0*u - 1/180*u**5 - 2/3*u**3 - 7. Let n(l) be the third derivative of v(l). Factor n(o).
o*(3*o - 2)/3
Let u(w) be the third derivative of 0*w + 1/150*w**5 + 1/6*w**3 - 18*w**2 + 1/900*w**6 + 0*w**4 + 0. Let y(x) be the first derivativ