 + 6/7*b + 27/7*b**3 + 3/7*b**5.
3*b*(b - 2)*(b - 1)**3/7
Let x(d) be the first derivative of 0*d - 1/2*d**2 + 2*d**3 + 5/6*d**6 + 28 - 6/5*d**5 - d**4. Find w, given that x(w) = 0.
-1, 0, 1/5, 1
Let t(p) be the first derivative of -3*p**3/2 + 2829*p**2/2 - 1884*p + 4635. Factor t(r).
-3*(r - 628)*(3*r - 2)/2
Determine k so that 1216/3 + 1/3*k**4 + 412/3*k**2 - 16*k**3 - 416*k = 0.
2, 4, 38
Let v = 457/196 - -1/588. Let z(c) be the second derivative of -10/3*c**3 - 4*c**2 + 0 + 3*c + v*c**4. Factor z(o).
4*(o - 1)*(7*o + 2)
Let a(g) be the second derivative of 1/12*g**2 + 7/144*g**4 - 38*g - 1/40*g**6 + 11/72*g**3 + 0 - 11/240*g**5. Suppose a(l) = 0. Calculate l.
-1, -2/9, 1
Let x(g) be the third derivative of 0*g**4 + 0*g**3 + 0*g + 0*g**5 + 1/840*g**7 - 22*g**2 - 1/480*g**6 + 0. Factor x(n).
n**3*(n - 1)/4
Suppose -5*m**4 - 110 - 591*m**2 + 2032*m**2 - 105*m**3 - 651*m**2 - 675*m**2 + 105*m = 0. What is m?
-22, -1, 1
Let h(l) be the first derivative of -l**4/15 - 8*l**3/15 - 95*l - 48. Let k(g) be the first derivative of h(g). Factor k(v).
-4*v*(v + 4)/5
Let r(g) = g**3 + 5*g**2 + 2*g + 8. Let b = 342 + -343. Let n(h) = -h + 1. Let j(f) = b*r(f) + 5*n(f). Find i such that j(i) = 0.
-3, -1
Let a be (-1 + -56)*(-12)/18. Determine v, given that -5*v**4 - v**4 + a*v**2 - 18*v**2 + 4*v**4 - 18*v**2 = 0.
-1, 0, 1
Let g(x) = -x**2 + 6*x - 5. Let h be g(3). Suppose w = 2*w - h*n - 94, 20 = -4*n. Determine f so that f**2 + w*f - 5*f**2 - 74*f = 0.
0
Let r(b) be the third derivative of b**5/60 - 475*b**4/12 + 225625*b**3/6 + 352*b**2. Factor r(o).
(o - 475)**2
Let h = -10599 + 10602. Let g(y) be the first derivative of -1/15*y**h - 5*y - y**2 - 7. Factor g(i).
-(i + 5)**2/5
Suppose b = 4*r - 371, -141*b = -2*r - 136*b + 199. Let p be r/(-345)*(-10)/4. Find v such that -p - 7/6*v**3 + 8/3*v - 5/6*v**2 = 0.
-2, 2/7, 1
Let h = 82 - 75. Suppose -2 + h = 5*p. Factor 58*a - 64*a + p + 0 + 3*a**2 + 2.
3*(a - 1)**2
Let s(k) be the third derivative of -k**5/120 + k**4/8 + 9*k**3/4 + 2*k**2 + 5. Factor s(y).
-(y - 9)*(y + 3)/2
Let p = -10 - -33. Solve 36 + p*u**2 + 77*u + 91*u + 14*u**2 - 10*u**2 = 0 for u.
-6, -2/9
Let h = -32/217 + 1661/3906. Let u(x) be the second derivative of 5/18*x**3 - 19*x + 0*x**2 + 0 + 0*x**5 - 5/126*x**7 + h*x**4 - 1/9*x**6. Factor u(f).
-5*f*(f - 1)*(f + 1)**3/3
Factor -371*d - 54 - 81 - 184 - d**2 - 45*d - 96.
-(d + 1)*(d + 415)
Let l = 6769/2 - 3384. Let u(s) be the second derivative of -1/12*s**4 + 0 - 7*s - 1/20*s**5 + 1/6*s**3 + l*s**2. Factor u(y).
-(y - 1)*(y + 1)**2
Let p be (-66 - -6)/(-6) + 0 + -1. Let o = 13 + -11. Let -o*a - 3*a**3 - a**2 + p*a**3 - 6*a**3 + a**3 = 0. Calculate a.
-1, 0, 2
Let s = 107 - 108. Let x(r) = -4*r**4 + 20*r**3 + 8*r**2 - 10*r - 4. Let y(u) = -2*u**3 + u. Let j(h) = s*x(h) - 10*y(h). Determine q, given that j(q) = 0.
-1, 1
Suppose 648*c = -1023*c - 2382 + 10737. Suppose 6/7*v**3 - 16/7*v + 0 + 10/7*v**c + 44/7*v**2 - 44/7*v**4 = 0. Calculate v.
-1, 0, 2/5, 1, 4
Let x(p) = -5*p**4 + 832*p**3 - 7*p**2 - 42. Let h(k) = 5*k**4 - 833*k**3 + 8*k**2 + 48. Let i(r) = 7*h(r) + 8*x(r). Determine f so that i(f) = 0.
0, 165
Let m be (216/(-288) + (-22)/(-8))*1. Solve 3/5*b**3 + 4/5*b**m - 28/5*b + 16/5 = 0 for b.
-4, 2/3, 2
Let b(j) = -j**2 - 10*j + 27. Let s be b(-12). Suppose -s*q - 5*q = -24. Factor 223 - l**q - 223 + l.
-l*(l - 1)*(l + 1)
Let b be 334/(-7)*-1 + 16/56. Let r = 51 - b. Determine f so that -2*f**r - 2*f**4 - 9*f**2 - 11*f**2 + 22*f**2 + 2*f = 0.
-1, 0, 1
Suppose -2*t - 288 = -6*t. Let q = t - -34. Factor -28*v + 4*v - q*v**3 + 32 + 108*v**3.
2*(v - 2)**2*(v + 4)
Let y(d) be the first derivative of 0*d - 1/7*d**4 + 2 - 1/140*d**5 - 8/7*d**3 - 5/2*d**2. Let t(x) be the second derivative of y(x). Factor t(i).
-3*(i + 4)**2/7
Let z(v) be the third derivative of -1/3*v**3 + 1/30*v**5 - 1/24*v**4 + 6*v**2 + v + 0 + 1/120*v**6. Factor z(x).
(x - 1)*(x + 1)*(x + 2)
Suppose 3*j + l + 10 = 0, 5*j - 6*l = -4*l - 35. Let g(k) = -2*k**2 - 216*k + 2904. Let s(v) = v**2 + 216*v - 2906. Let a(w) = j*g(w) - 6*s(w). Factor a(c).
4*(c - 27)**2
Let w be 2/1 + (-564)/288. Let t(v) be the third derivative of 1/210*v**7 + 0*v**4 + 1/15*v**5 + 0*v + 0 - 17*v**2 + w*v**6 + 0*v**3. Solve t(y) = 0.
-4, -1, 0
Let k(l) be the third derivative of -135*l**2 + 0*l**3 - 1/450*l**5 + 0 + 0*l + 11/60*l**4. Solve k(y) = 0.
0, 33
Suppose -5*j + 6*r + 10865 = r, 3*j = -4*r + 6540. Find l such that -j*l + 12*l**3 + 1097*l - 40*l**2 + 1095*l + 32 = 0.
-2/3, 2
Let h be (-1160)/(-88) + (-10)/55. Suppose -6*q - 22*q**2 + q**2 - 28*q**4 + 3*q**5 - 6*q**5 - 27*q**3 + h*q**4 = 0. Calculate q.
-2, -1, 0
Let y(k) = -k**2 + 5*k + 2. Suppose -3*i - 2*j + 11 = 0, 5*i - 29 + 6 = -j. Let q be y(i). Factor -12*t**2 + 7*t**2 + 12*t + 8*t**q.
3*t*(t + 4)
Let m be 52/6 + 8/(-12). Suppose -x + 4*x + 2*s = m, 0 = 3*x + 4*s + 2. Let b(c) = -5*c**2 - 1. Let a(h) = 5*h**2. Let y(w) = x*a(w) + 5*b(w). Factor y(f).
5*(f - 1)*(f + 1)
Suppose -10 = x - 5*s, 691*x - 687*x - 4*s - 8 = 0. Factor 0 + 26/3*c**3 + 2/3*c**x + 8*c**2 + 4*c**4 + 8/3*c.
2*c*(c + 1)**2*(c + 2)**2/3
Let m be (0 + -1 + 1617/2058)/(7/(-224)). Suppose -51/7*f**4 - m*f + 36/7*f**3 + 9/7 + 6*f**2 + 12/7*f**5 = 0. Calculate f.
-1, 1/4, 1, 3
Suppose 0 = -37*d + 9*d + 3808. Solve -23 + d*j**2 + 37*j**3 + 43 + 160*j - 140*j**4 + 28*j**3 + 209*j**2 = 0.
-1, -2/7, -1/4, 2
Let w be (6 - -43) + -6 + -9 + -2. Let f(p) be the first derivative of -1/6*p**3 - p**2 - 3/2*p - w. Determine s, given that f(s) = 0.
-3, -1
Factor -56*r**2 + 46*r**2 + 48*r**3 - 6*r**4 + 10*r**2 + 2*r**4.
-4*r**3*(r - 12)
Let k(q) = -q**3 + q - 4. Let b(m) = 3*m**3 - 35*m**2 - 3*m + 51. Let n(g) = -3*b(g) - 12*k(g). Factor n(t).
3*(t - 1)*(t + 1)*(t + 35)
Let l(m) be the third derivative of -7*m**4/24 - 8*m**3/3 - 34*m**2. Let y be l(-3). Factor -r**3 + 0*r**3 - r**3 - 9*r**2 - y*r**2.
-2*r**2*(r + 7)
Let i(j) = 680*j**3 - 13840*j**2 - 13730*j - 2785. Let z(p) = -113*p**3 + 2307*p**2 + 2288*p + 464. Let v(d) = -4*i(d) - 25*z(d). Factor v(h).
5*(h - 23)*(3*h + 2)*(7*h + 2)
Suppose 3286 - 3306 + 5*g**2 - 6*g - 3*g**2 = 0. What is g?
-2, 5
Suppose 0 = 3*l + 148*l - 8*l. Let t(g) be the second derivative of -1/15*g**4 + 1/15*g**3 + g + 0 + 1/50*g**5 + l*g**2. Factor t(k).
2*k*(k - 1)**2/5
Suppose -5*r + 170 = 2*z, 5*z - 7*r - 427 = -80. Let y be (-1 - -9) + z/(-10). Factor -1/4*m - y + 1/4*m**2.
(m - 2)*(m + 1)/4
What is p in 3/4*p**5 + 0 + 54*p**3 + 225/4*p**4 + 0*p - 111*p**2 = 0?
-74, -2, 0, 1
Let a(q) be the third derivative of -q**5/60 - 242*q**4/3 - 468512*q**3/3 - 2258*q**2 + 1. Determine d so that a(d) = 0.
-968
Let x(g) = 6*g - 25. Let h be x(5). Factor 4*i - 9*i**2 - 6*i**2 - 9*i + 20 - h*i**2 + 5*i**3.
5*(i - 4)*(i - 1)*(i + 1)
Suppose 3*j**5 + 2 + 29/3*j + 2*j**4 - 62/3*j**3 + 4*j**2 = 0. What is j?
-3, -1/3, 1, 2
Let g(m) = 2*m**2 + 12*m + 6. Let x be g(-6). Suppose 21 = x*p - 15. Determine d, given that -d**2 - 4 + p - d**2 + 4 + 4*d = 0.
-1, 3
Let z(t) be the third derivative of 3/665*t**7 + 176/57*t**4 + 0 + 121/57*t**3 + 15*t**2 - 16/95*t**6 + 0*t + 479/285*t**5. What is m in z(m) = 0?
-1/3, 11
Let f(o) be the second derivative of o**5/120 + 29*o**4/36 + 841*o**3/36 + 222*o. Let f(c) = 0. Calculate c.
-29, 0
Let -219/2*i + 4*i**3 + 13 + 87/2*i**2 = 0. What is i?
-13, 1/8, 2
Let k be -3*46*(-176)/1056 - -13. Factor -k*r - 360/7*r**2 - 75/7*r**3 - 48/7.
-3*(r + 4)*(5*r + 2)**2/7
Let a = 4045/15572 - 38/3893. Determine s so that -1/4*s**4 - a*s**2 + 0 + 1/2*s**3 + 0*s = 0.
0, 1
Let s be (1 + 4/(-8))/((-2)/24) - 725/(-50). Suppose 1/2*v**5 + 0*v + 0 + s*v**3 - 4*v**2 - 5*v**4 = 0. Calculate v.
0, 1, 8
Let c(p) be the first derivative of 78 + 21/5*p**2 - 2/15*p**3 - 76/5*p. What is m in c(m) = 0?
2, 19
Let p(b) be the second derivative of -b**5/20 - 127*b**4/12 + 262*b**3/3 - 11435*b. Solve p(f) = 0.
-131, 0, 4
Let p(y) be the second derivative of y**7/35 + 4*y**6/25 - 3*y**5/25 - 6*y**4/5 + 9*y**3/5 + 2*y + 761. Factor p(g).
6*g*(g - 1)**2*(g + 3)**2/5
Let o(c) = -c. Let d(a) = -4*a**3 + 508*a**2 + 4*a. Let l(j) = d(j) + 4*o(j). Determine i so that l(i) = 0.
0, 127
Let y(s) be the second derivative of 212960*s**2 - 4840*s**3 - 1/4*s**5 + 0 + 55*s**4 - 262*s. Factor y(k).
-5*(k - 44)**3
Factor 4*l**2 - 23*l**3 