 - 4/9*w**2 - q*w**5 + 11. Factor z(r).
-2*(r - 2)**2*(r + 1)**2/9
Let a(t) be the third derivative of 0 + t + 4*t**4 + 169/330*t**5 + 1/30*t**6 + 1/1155*t**7 - 231*t**2 + 192/11*t**3. Factor a(g).
2*(g + 3)**2*(g + 8)**2/11
Let z(q) be the second derivative of -2*q**6/105 + 68*q**5/35 - 87*q**4/7 + 92*q**3/3 - 256*q**2/7 + 6*q - 5. Suppose z(o) = 0. Calculate o.
1, 2, 64
Let c(t) = -5*t**2 + 256*t - 789. Let d(u) = -20*u**2 + 1028*u - 3157. Let q(g) = 23*c(g) - 6*d(g). Factor q(i).
5*(i - 53)*(i - 3)
Let z(t) = t**5 - 2*t**4 - t**3 + 2*t**2 + 6*t - 2. Let i(n) = n**3 - n**2 + n - 1. Suppose -5*k + 132 = 142. Let r(l) = k*i(l) + z(l). Factor r(w).
w*(w - 2)**2*(w + 1)**2
Let v(r) = 8*r - 5. Let l be v(5). Suppose -l = i - 39. Find x, given that 5*x**2 - 9*x**3 - 13*x**2 + i*x**5 + 12*x + 8 + 3*x**3 - 10*x**3 = 0.
-1, 1, 2
Let s(i) be the first derivative of -1/8*i**6 - 48 + 0*i + 0*i**2 - 1/2*i**3 - 3/5*i**5 - 15/16*i**4. Factor s(k).
-3*k**2*(k + 1)**2*(k + 2)/4
Let s(f) be the second derivative of f**4/90 - 32*f**3/45 - 68*f**2/15 - 6*f + 102. Factor s(r).
2*(r - 34)*(r + 2)/15
Let a = 2255 - 630. Let m = 1627 - a. Solve 9/4*w**4 + 90*w**m + 51/2*w**3 - 96 + 72*w = 0 for w.
-4, 2/3
Solve -110/9*n**4 - 190/3*n**2 - 2/9*n**5 - 1550/9*n**3 + 1440*n + 1944 = 0.
-27, -2, 3
Let j be ((-33)/10 - -3)/(((-1380)/400)/23). Let k = -4/119 - -488/357. Suppose -4/3*d - k*d**j + 8/3 = 0. Calculate d.
-2, 1
Let b be ((-1208)/7550)/((-6)/150*2). Determine t, given that -36/13 + 2*t**b + 6/13*t - 14/13*t**3 + 2/13*t**4 = 0.
-1, 2, 3
Let d be 126/(-77) - (-75 - -73). Let -2/11*v**2 - d*v + 0 = 0. What is v?
-2, 0
Let g(p) = -61*p**2 + 549*p - 620. Let o(r) = -5*r**2 - 2*r - 4. Let a(k) = g(k) - 12*o(k). Find y, given that a(y) = 0.
1, 572
Suppose 96*w = 174*w + 65*w + 99*w - 726. Let r be -3 - -3 - (-2 + 0). Factor -6/7*b**r + 0*b + 0 + 2/7*b**w.
2*b**2*(b - 3)/7
Let u(b) = b**3 + 101*b**2 - 416*b + 422. Let d be u(-105). Factor 6/5*w + 6/5*w**d + 0.
6*w*(w + 1)/5
Let t(z) = -z**3 + 18*z**2 - 68*z + 11. Let d be t(6). Suppose -d*i + 139 - 69 = 0. Factor 9/4 + 21/8*j + 3/8*j**i.
3*(j + 1)*(j + 6)/8
Let t(z) be the second derivative of z**8/11760 + z**7/840 + z**6/420 + 3*z**3/2 + 5*z**2/2 - 3*z. Let l(n) be the second derivative of t(n). Factor l(m).
m**2*(m + 1)*(m + 6)/7
Let -861 - 462*f**2 + 44*f**3 - 4*f**4 - 47*f**3 - 1451 - 294*f**2 - 3196*f + 127*f**3 = 0. Calculate f.
-2, -1, 17
Let o(t) be the first derivative of -4*t**3 - 272*t**2 + 368*t + 1011. Find r such that o(r) = 0.
-46, 2/3
Let h(r) be the third derivative of r**7/1260 + 13*r**6/180 + 19*r**5/24 + 23*r**4/8 - 3442*r**2. Factor h(t).
t*(t + 3)**2*(t + 46)/6
Let c = -65819 - -131785/2. Find d such that -78 - c*d**2 - 75/2*d**4 + 495*d**3 - 306*d = 0.
-2/5, 1, 13
Let p(l) be the second derivative of -l**7/3 - 5*l**6/3 - 93*l**5/35 - 34*l**4/21 - 8*l**3/21 - 396*l - 2. Determine x, given that p(x) = 0.
-2, -1, -2/7, 0
Let u(x) = -2*x**2 + 457*x + 2338. Let p be u(-5). Determine y so that -1/6*y**p - 2 + 1/6*y**2 + 4/3*y = 0.
-3, 2
Let y(v) be the third derivative of -v**5/20 + 5*v**4 - 168*v**3 + 2556*v**2. Factor y(j).
-3*(j - 28)*(j - 12)
Let j = 1272019/169602 + -2/84801. Suppose 3*n - 22 = -5*p, 0*n = -n + 4. Factor j*v - 3/4*v**p - 75/4.
-3*(v - 5)**2/4
Suppose 3/2*v**2 + 99 - 105/2*v = 0. What is v?
2, 33
Suppose -56*d + 33*d = -40*d. Let h(t) be the third derivative of d*t**4 - 1/300*t**5 + 0*t**3 + 19*t**2 + 0*t + 1/600*t**6 + 0. Factor h(q).
q**2*(q - 1)/5
Let m(c) be the third derivative of -c**7/945 - 2*c**6/135 - c**5/18 + 453*c**2. Find q such that m(q) = 0.
-5, -3, 0
Let p(d) = -2*d**2 + d + 10. Let c(f) = -26*f**2 - 492*f + 140. Let l(w) = -2*c(w) + 28*p(w). Factor l(t).
-4*t*(t - 253)
Let z = -34510 - -310592/9. Find u, given that 50/9 + z*u**2 - 20/9*u = 0.
5
Let o = 14080/329 + -1904/47. Factor -12/7*m**2 - 48/7*m - o + 20/7*m**3.
4*(m - 2)*(m + 1)*(5*m + 2)/7
Let y be 7 - 2 - (3 + 6 + -57 + 47). Factor 0 + y*g - 3/2*g**2.
-3*g*(g - 4)/2
Let u(b) = -b**3 + 2*b + 1. Let j(r) = 8*r**4 - 52*r**3 - 108*r**2 + 720*r - 312. Let s(q) = j(q) - 8*u(q). Solve s(g) = 0.
-4, 1/2, 4, 5
Let i be 1230/328 + (-2)/8*-1. Determine j, given that 74*j**3 + 12 - 36882*j**i + 28*j**3 - 48*j - 3*j**2 + 36819*j**4 = 0.
-2/3, 2/7, 1
Let g(v) be the first derivative of -v**5/15 + 4*v**4/3 - 41*v**3/9 + 13*v**2/3 - 1085. Factor g(x).
-x*(x - 13)*(x - 2)*(x - 1)/3
Let -2/7*s**2 - 744/7 - 136/7*s = 0. Calculate s.
-62, -6
Let l = -889169/5 - -177835. Factor 0 + 3*c**2 + 18/5*c - 3/5*c**4 - l*c**3.
-3*c*(c - 2)*(c + 1)*(c + 3)/5
Let x(n) be the third derivative of -5*n**8/336 + 2*n**7/21 - 5*n**6/24 + n**5/6 + 892*n**2. Find h such that x(h) = 0.
0, 1, 2
Let m(z) be the third derivative of -1/672*z**8 + 0 + 0*z**3 + 27*z + 2*z**2 + 1/60*z**6 - 1/60*z**5 - 1/16*z**4 + 1/210*z**7. Determine r, given that m(r) = 0.
-1, 0, 1, 3
Let a(t) be the second derivative of t**5/190 - 77*t**4/38 + 458*t**3/57 + 2*t + 435. Factor a(k).
2*k*(k - 229)*(k - 2)/19
Suppose -g = 2*p - 48, -p + 7 + 11 = -g. Let -28 - 14*h**3 - 172*h**2 - 202*h - p + 6 = 0. Calculate h.
-11, -1, -2/7
Suppose -8*r + 4*y = -5*r - 11, -5*r + 3 = y. Let t be (3 - r)/(3 - 21/9). Find n, given that 0*n + 9/2*n**4 + 0 + 3/2*n**2 + 9/2*n**t + 3/2*n**5 = 0.
-1, 0
Let n(w) be the first derivative of -5/19*w**2 - 4/57*w**3 - 4/19*w + 8/95*w**5 + 1/57*w**6 + 2/19*w**4 - 32. Suppose n(o) = 0. What is o?
-2, -1, 1
Let w(j) be the second derivative of -j**6/45 + 3*j**5/10 + 11*j**4/3 + 56*j**3/9 - 1093*j. Find b such that w(b) = 0.
-4, -1, 0, 14
Let f(b) = -53*b**4 - 14*b**3 + 50*b**2 + 2*b + 9. Let g(w) = 317*w**4 + 80*w**3 - 300*w**2 - 12*w - 51. Let m(y) = -34*f(y) - 6*g(y). Let m(v) = 0. What is v?
-1, -1/25, 0, 1
Suppose 2*h + 5*l - 182 = 0, 7*h - 386 = 3*h + l. Suppose 5*y = -86 + h. Factor 2*q**4 + 5*q**2 + 42*q**3 + 22*q**y - 12*q + q**4 - 60*q**3.
3*q*(q - 4)*(q - 1)**2
Let h be (-38)/(-6)*88/836. Factor -24 - 22*p - h*p**3 - 20/3*p**2.
-2*(p + 3)**2*(p + 4)/3
Factor 5*i**3 + 995*i + 13*i**2 + 216 + 252*i**2 + 490 + 29.
5*(i + 1)*(i + 3)*(i + 49)
Let a(v) be the second derivative of -v**5/20 + 37*v**4/3 + 305*v**3/2 + 693*v**2 + 388*v. Let a(w) = 0. What is w?
-3, 154
Let a be 11/(-44)*(8 - 4) - (-2)/2. Let l(q) be the second derivative of 4/5*q**5 + 19*q + a*q**2 - 2/15*q**6 + 0*q**3 + 0 + 0*q**4. Factor l(w).
-4*w**3*(w - 4)
Let w(q) be the third derivative of q**8/112 - q**7/35 - q**6/2 - 6*q**5/5 - 1658*q**2. Suppose w(p) = 0. Calculate p.
-2, 0, 6
Let v(p) be the first derivative of 7*p**6/12 - 79*p**5/40 + 17*p**4/32 + 73*p**3/24 - 21*p**2/16 - 9*p/4 - 691. Solve v(q) = 0 for q.
-3/4, -3/7, 1, 2
Let c(u) be the first derivative of -u**5/15 - 61*u**4/24 - 269*u**3/18 + 169*u**2/2 - 72*u + 8. Let c(j) = 0. What is j?
-24, -9, 1/2, 2
Suppose -2*w = 3*k - 3 - 82, -16 = 4*w. Factor 199*b + 19 - 364*b + k - 35*b**2.
-5*(b + 5)*(7*b - 2)
Let x(l) be the first derivative of -l**8/5040 - l**7/1260 + l**5/180 + l**4/72 - 18*l**3 + 18. Let b(h) be the third derivative of x(h). Factor b(y).
-(y - 1)*(y + 1)**3/3
Suppose -4*n - 8 = 4*m - 0, 5*n = -4*m - 8. Factor 3/2*d**3 - 3/4*d**2 + n + 3/4*d**4 - 3/2*d.
3*d*(d - 1)*(d + 1)*(d + 2)/4
Let l(h) be the second derivative of 4/9*h**4 + 1 + 4/15*h**5 + 18*h - 1/45*h**6 - 32/3*h**3 - 48*h**2. Factor l(b).
-2*(b - 6)**2*(b + 2)**2/3
Let u(c) = -4 - 7 + 3*c + 21 + 4*c**2 + 33. Let i be u(-6). Factor -58 + 83 - 4*k**2 - 48*k - i.
-4*(k + 6)**2
Let n = 22 - -16. Suppose n*k + 30 = 43*k. Factor 3*o**2 + 4*o - k*o + 2*o - 9*o + 6.
3*(o - 2)*(o - 1)
Let t(k) be the second derivative of 538*k**3/3 - 15*k**2/2 + 19*k. Let l be t(3). Factor 28*s**3 + l - 3213 + 36*s**2 + 8*s.
4*s*(s + 1)*(7*s + 2)
Let k(m) be the third derivative of 0*m - 1/240*m**6 + 0 + 0*m**3 + 1/96*m**4 + 101*m**2 - 1/240*m**5. Suppose k(z) = 0. Calculate z.
-1, 0, 1/2
Let q be 278/(-1390)*30/(-9). Find n such that 5/6 + q*n - 1/6*n**2 = 0.
-1, 5
What is o in -33/4*o**2 - 575/4 + 255/4*o + 1/4*o**3 = 0?
5, 23
Suppose -71*c - c + 339 = 41*c. Let w = 1365/2 - 615. What is p in -149*p**2 - 4 - 399/2*p**c - w*p**4 - 42*p = 0?
-2, -2/5, -1/3, -2/9
Let k(o) be the second derivative of 0 + 6*o**4 - 47*o - 33/10*o**5 - 9/2*o**3 - 1/14*o**7 + 0*o**2 + 4/5*o**