*3 + 5*s**2 - 68*s + 46. Let r(a) = -6*c(a) + 11*u(a). Solve r(z) = 0 for z.
2, 13
Let i(p) be the first derivative of -p**2 - 2/21*p**3 - 20/7*p + 44. Find o such that i(o) = 0.
-5, -2
Let i be (-1224)/(-15)*(-1)/(-3) - (-33 + 37). Suppose -64/5 + 14/5*w**3 + 256/5*w - i*w**2 = 0. What is w?
2/7, 4
Let v(o) be the second derivative of o**6/40 + 3*o**5/16 + 9*o**4/16 + 7*o**3/8 + 3*o**2/4 - 107*o - 2. Solve v(y) = 0 for y.
-2, -1
Let q(u) be the third derivative of -u**8/20160 + 29*u**5/60 - u**3/3 + 52*u**2. Let p(y) be the third derivative of q(y). Factor p(m).
-m**2
Let p(n) be the third derivative of n**6/180 + 3*n**5/10 + 85*n**4/18 + 16*n**3 - 127*n**2 - 13*n. What is u in p(u) = 0?
-18, -8, -1
Let w be -37 - (6/(-5) + (-22)/(-110)). Let y(t) = 24*t**3 + 1 - 22*t**2 - 1 - 14*t. Let g(z) = z. Let k(q) = w*g(q) - 2*y(q). Solve k(m) = 0 for m.
0, 1/4, 2/3
Suppose -10*i = -3*i - 21. Factor 7 + 18*l**i - 5*l**2 - 1 + l**2 - 18*l - 2.
2*(l - 1)*(l + 1)*(9*l - 2)
Let a(k) be the third derivative of -11/156*k**4 - 2*k**2 - 1/39*k**5 + 0*k + 1/780*k**6 + 3 + 0*k**3. Suppose a(z) = 0. What is z?
-1, 0, 11
Let k be ((-42)/189 + 175/(-63))/(-6). Factor 9*y + 19/2*y**2 - k.
(y + 1)*(19*y - 1)/2
Let t(o) be the second derivative of o**5/10 - 667*o**4/2 + 333333*o**3 + 1002001*o**2 - 3*o - 761. Factor t(p).
2*(p - 1001)**2*(p + 1)
Let p(a) = -38*a**4 + 1578*a**3 - 2319*a**2 + 845*a - 99. Let i(y) = -36*y**4 + 1580*y**3 - 2320*y**2 + 852*y - 98. Let d(q) = 3*i(q) - 2*p(q). Solve d(w) = 0.
1/4, 1, 48
Let v(f) be the first derivative of -22/3*f**3 + 0*f - 6*f**2 - 3*f**4 - 2/5*f**5 + 123. Factor v(s).
-2*s*(s + 1)*(s + 2)*(s + 3)
Find r such that -33*r**2 + 2508*r - 2937 + 433 + 70*r**2 - 41*r**2 = 0.
1, 626
Factor -50764/15 - 938/5*p**2 - 4214/3*p - 106/15*p**3 + 2/15*p**4.
2*(p - 74)*(p + 7)**3/15
Let n be (-1 + 2/(-2))/(18/(-27)). Suppose -4*a = n*t - a - 12, t + 2*a - 1 = 0. Solve 19*q + 2*q**2 - t*q - 12*q = 0.
0
Let f(s) be the second derivative of 0 + 123*s + 3/2*s**6 - 29/2*s**3 - 9*s**2 + 123/20*s**5 - 21/4*s**4. Find o, given that f(o) = 0.
-3, -2/5, -1/3, 1
Suppose -3*x = -2*t - 6, t + 3*t + 8 = 5*x. Suppose a = y, t*a = -y + a + 9. Factor -7 - o**2 - 3*o**2 + 1 + 2*o**2 + 10*o - 2*o**y.
-2*(o - 1)**2*(o + 3)
Suppose -3*c - 2*c = -3*t + 13, -2*t = -3*c - 9. Find b, given that -b - b**4 - t*b**3 + 6*b**4 + 9*b**4 + 4*b**2 - b**5 - 10*b**4 = 0.
0, 1
Factor -3768/5*l + 967*l**2 - 1076/5 + 9/5*l**3.
(l - 1)*(l + 538)*(9*l + 2)/5
Let m be (40/(-4))/(-5)*(4 - 368/(-299)). Factor -48/13 + m*b + 54/13*b**3 - 132/13*b**2 - 8/13*b**4.
-2*(b - 2)**3*(4*b - 3)/13
Factor -j**3 + 0*j**3 - 5*j + 5*j - 5*j - 4*j - 10*j**2.
-j*(j + 1)*(j + 9)
Let y be ((-1785)/(-714))/((-45)/(-24)). Factor -7/3*b**3 - 13/3*b - 1/3*b**4 - 5*b**2 - y.
-(b + 1)**3*(b + 4)/3
Suppose -217 - 7 = -i - 3*q, -3*q + 457 = 2*i. Let k = i + -161. Let -3 - k*m**2 - 132*m - 45 - 7*m**3 + 39*m**3 - 5*m**3 = 0. What is m?
-2/3, 4
Let c(r) be the second derivative of 2/3*r**4 + 0*r**2 - 2*r**3 + 32*r + 0. Determine f so that c(f) = 0.
0, 3/2
Let b(y) be the third derivative of -7/48*y**4 + 3 + 18*y**2 + 1/144*y**6 + 13/36*y**3 + 1/120*y**5 + 0*y. Suppose b(u) = 0. Calculate u.
-13/5, 1
Let c(h) be the first derivative of -2*h**6 - 15/4*h**4 + 0*h**2 - 83 + 24/5*h**5 + h**3 + 0*h. Factor c(d).
-3*d**2*(d - 1)*(2*d - 1)**2
Let a(f) be the third derivative of -f**5/160 + 149*f**4/64 - 37*f**3/4 - 512*f**2 + 3*f. Let a(b) = 0. What is b?
1, 148
Let x(z) = z**2 - 4*z - 29. Let r be x(12). Let l = 69 - r. Suppose -3*j**2 + 4*j**2 + 0*j**2 - j + 0*j**l = 0. Calculate j.
0, 1
Let k(p) be the third derivative of p**6/320 - 57*p**5/160 - p**4 + 87*p**3/4 + 65*p**2. Factor k(i).
3*(i - 58)*(i - 2)*(i + 3)/8
Let m(a) be the first derivative of -2*a**5/45 - 10*a**4/9 + 376*a**3/27 + 320*a**2 - 4608*a - 3509. Factor m(s).
-2*(s - 8)**2*(s + 18)**2/9
Factor 0 + 15*j + 1/3*j**2.
j*(j + 45)/3
Let x be 16/22*704/1920. Let p(g) be the first derivative of 0*g + 0*g**3 - 4 - 1/2*g**4 + 1/9*g**6 - x*g**5 + 0*g**2. Factor p(k).
2*k**3*(k - 3)*(k + 1)/3
Factor -87*r - 15138 - 1/8*r**2.
-(r + 348)**2/8
Let m be ((-78)/(-63))/26*(-2)/(-10). Let x(a) be the second derivative of -m*a**5 + 1/315*a**6 + 0*a**2 + 0 + 20*a - 1/126*a**4 + 2/63*a**3. Solve x(i) = 0.
-1, 0, 1, 2
Let d(r) be the first derivative of 42*r + r**3 + 57 - 45/2*r**2. Suppose d(l) = 0. Calculate l.
1, 14
Let i be (1/2)/((11 + -4)/238). Determine t so that i*t + 10*t**2 - 6*t - 5*t**2 - 6*t = 0.
-1, 0
Let i(u) be the first derivative of -7 + 2/15*u**3 - 12/5*u + 1/5*u**2. Let i(l) = 0. Calculate l.
-3, 2
Let a(u) be the second derivative of 5/3*u**4 + 5/6*u**3 + 0*u**2 + 0 - 75*u. Suppose a(g) = 0. Calculate g.
-1/4, 0
Let l = -29 - -24. Let j be (2 - 1) + l + 6. Factor 10 + 15 + 18 + 2*k**j - 37 + 8*k.
2*(k + 1)*(k + 3)
Let b be 4/20 + 54/30. Find d such that d + 7*d - 8*d - d**b - d = 0.
-1, 0
Let k = 83 - 80. Suppose 3*x = 3*w, -2*x - 12 = -5*x - k*w. Factor -x*t**3 - t - 5*t**2 - 11*t + 15*t**2.
-2*t*(t - 3)*(t - 2)
Let x(l) be the first derivative of 1/18*l**3 + 45 - 7/2*l + 5/3*l**2. Factor x(p).
(p - 1)*(p + 21)/6
Factor -1/2*a**2 - 9/2*a + 81.
-(a - 9)*(a + 18)/2
Suppose -7*y + 3*y = -12. Factor 2*u**4 - 26*u + 28 + 66*u**2 - 17*u - 22*u**y - 31*u.
2*(u - 7)*(u - 2)*(u - 1)**2
Let t(b) be the first derivative of -b**4 + 14*b**2 + 24*b - 2964. Determine q, given that t(q) = 0.
-2, -1, 3
Let r(u) be the second derivative of 2*u**6/25 + 89*u**5/25 + 883*u**4/15 + 6182*u**3/15 + 3388*u**2/5 - u - 544. Suppose r(y) = 0. What is y?
-11, -7, -2/3
Let u(m) be the third derivative of -m**8/23520 + m**7/8820 + m**6/210 - m**4/6 - m**3/3 + 35*m**2. Let v(g) be the second derivative of u(g). Factor v(o).
-2*o*(o - 4)*(o + 3)/7
Let s(r) be the second derivative of -3*r**5/140 + 71*r**4/28 + 148*r**3/7 + 450*r**2/7 - 542*r - 2. Factor s(o).
-3*(o - 75)*(o + 2)**2/7
Let v(u) be the first derivative of -2*u**5/5 + 10*u**4 + 356*u**3/3 + 292*u**2 + 270*u - 1746. Factor v(m).
-2*(m - 27)*(m + 1)**2*(m + 5)
Let 3/4*x**5 - 279/2*x**3 - 2208*x + 11520 - 1524*x**2 + 21/4*x**4 = 0. Calculate x.
-8, 2, 15
Let g(o) = 8*o**2 + o - 4. Let c(k) = 41*k**2 - 10*k - 20. Let z(l) = -3*c(l) + 15*g(l). Find b such that z(b) = 0.
0, 15
Let s be 1363/4 - 90/120. Suppose s - 304 = 12*p. What is a in 0*a**p + 3/5*a + 0 - 3/5*a**5 + 6/5*a**4 - 6/5*a**2 = 0?
-1, 0, 1
Solve -3561*g - 35592/5*g**2 + 48/5*g**3 - 2226/5 = 0 for g.
-1/4, 742
Let w(o) be the second derivative of 0*o**2 + 16/15*o**6 + 0*o**3 + 11/10*o**5 + 1/3*o**4 + 1/3*o**7 + 0 - 48*o. Find j such that w(j) = 0.
-1, -2/7, 0
Let v = 5273/157290 + -1/5243. Let c(r) be the third derivative of 0 + 2*r**2 - v*r**6 + 0*r - 2*r**4 - 2/5*r**5 - 16/3*r**3. Factor c(h).
-4*(h + 2)**3
Let r = 311 + -307. Let p be r/5*25/30. Factor -8/3 + 8/3*q**2 + p*q - 2/3*q**3.
-2*(q - 4)*(q - 1)*(q + 1)/3
Let r = 125468/19723 - -42/19723. Find a such that 646/11*a**2 + 2/11*a**4 + r*a**3 + 578/11*a + 0 = 0.
-17, -1, 0
Let j(k) = k**2 - 2240*k + 1254466. Let u(i) = 6. Let x(o) = 2*j(o) - 22*u(o). Let x(f) = 0. What is f?
1120
Suppose 0 - 705*u**3 + 4860*u - 5/2*u**5 + 175/2*u**4 - 1350*u**2 = 0. What is u?
-3, 0, 2, 18
Let y = 347 - 307. Factor -2*r**2 - 95*r + y*r - 15*r.
-2*r*(r + 35)
Let u(w) be the third derivative of 5*w**8/168 - 62*w**7/105 + 77*w**6/30 + 4*w**5/15 - 53*w**4/4 + 18*w**3 + 156*w**2 + 3. Find i such that u(i) = 0.
-1, 2/5, 1, 3, 9
Let o = -348036/7 - -49722. Suppose 0 + 0*q + 3/7*q**3 - o*q**2 + 3/7*q**5 + 12/7*q**4 = 0. What is q?
-3, -2, 0, 1
Let f(m) be the first derivative of m**4/8 - 4*m**3/3 + 5*m**2/4 + 7*m - 373. Factor f(q).
(q - 7)*(q - 2)*(q + 1)/2
Let a(v) be the first derivative of v**6/90 - 8*v**5/15 + 5*v**4/2 + 113*v**3/3 - 25. Let y(s) be the third derivative of a(s). Suppose y(c) = 0. What is c?
1, 15
Determine z, given that 10*z**5 - 10*z**3 + 10*z**2 - 27 + 5*z - 23 - 50*z**4 - 5*z**5 + 90*z**2 = 0.
-1, 1, 10
Let a(q) be the first derivative of 0*q + 46 - q**5 - 15*q**4 + 0*q**2 - 55/3*q**3. Factor a(j).
-5*j**2*(j + 1)*(j + 11)
Let w(s) be the second derivative of s**5/60 + 55*s**4/9 + 12733*s**3/18 + 11449*s**2 - 78*s - 21. Factor w(k).
(k + 6)*(k + 107)**2/3
Let f(b) be the second derivative of 5*b**