 Solve 1/3*q - 1/3*q**c + 1/3 - 1/3*q**3 = 0.
-1, 1
Let d(z) = -22*z - 149. Let x be d(-7). Let s be (-12)/30*x/(-12). Factor -s*h**2 + 0 - 1/2*h**3 + 1/6*h**4 + 1/6*h**5 + 1/3*h.
h*(h - 1)**2*(h + 1)*(h + 2)/6
Factor 10/3*z**3 - 80/3 - 364/3*z + 182/3*z**2.
2*(z - 2)*(z + 20)*(5*z + 1)/3
Let v(s) be the first derivative of -3*s + 1/8*s**3 - 21/16*s**2 - 216. Solve v(o) = 0.
-1, 8
Find y, given that 0*y + 2/5*y**4 - 192/5*y**3 + 0 + 376/5*y**2 = 0.
0, 2, 94
Let l(c) = -174*c**2 + 4524*c + 4. Let g be l(26). Find q such that 2*q + 4/9*q**2 - 2*q**3 - 8/9 + 4/9*q**g = 0.
-1, 1/2, 1, 4
Let q(g) = 14*g**2 - 82*g + 2. Let u(v) = 5*v**2 - 28*v. Let s(m) = 4*q(m) - 11*u(m). Let z be s(20). Suppose -3*k**2 + 1/3*k**3 + z*k - 16/3 = 0. What is k?
1, 4
Let u(h) be the third derivative of h**6/1020 - h**5/170 - 4*h**4/51 - 4*h**3/17 - 685*h**2 + 2*h. Determine d, given that u(d) = 0.
-2, -1, 6
Let r(x) be the second derivative of 5*x**4/42 + 736*x**3/7 - 884*x**2/7 + 239*x - 4. Factor r(m).
2*(m + 442)*(5*m - 2)/7
Let g be -4*(-3 + 3/6). Suppose q + o = 4, 6*o + 4 = g*o. Factor 80*s**2 + s + 3*s**q - s - 77*s**2.
3*s**2*(s + 1)
Let g(m) = -2*m**2 - 25*m - 75. Let h = 127 - 132. Let o be g(h). Let o*n**2 - 35/3*n**5 + 0 + 0*n - 10/3*n**4 + 0*n**3 = 0. What is n?
-2/7, 0
Let o(d) = 32*d**2 + 739*d + 4. Let r be o(0). Factor 6/13*u**5 - 20/13*u**r + 0*u + 16/13*u**2 + 8/13*u**3 + 0.
2*u**2*(u - 2)**2*(3*u + 2)/13
Let i(x) = 20*x + 349. Let r be i(-11). Factor r*q + 212*q - 114 - 15*q**2 - 50*q.
-3*(q - 19)*(5*q - 2)
Suppose 46 = -22*s + 45*s. Suppose t + 0 = 2. Find i such that -16 - i**s + 30 + 0*i**t - 18 - 4*i = 0.
-2
Suppose -420 - 234 = 1426*v - 3506. Suppose 8/11*y**v + 2/11*y - 8/11 - 2/11*y**3 = 0. Calculate y.
-1, 1, 4
Let h(b) be the first derivative of 149 + 21*b + 13/2*b**2 + 1/28*b**4 + 17/21*b**3. Factor h(i).
(i + 3)*(i + 7)**2/7
Let q be ((-96)/10)/6*45/18. Let h(w) = w**2 + 31*w + 112. Let l be h(q). Let -2/5 - 1/5*b**3 - 1/5*b**l + 1/5*b + 3/5*b**2 = 0. Calculate b.
-2, -1, 1
Let j(s) = 5*s**4 - 159*s**3 + 1520*s**2 - 4084*s - 5796. Let i(v) = -v**3 - v - 9. Let f(r) = -4*i(r) + j(r). Suppose f(b) = 0. What is b?
-1, 8, 12
Let o = -6367327457/3198 + 1991035. Let m = o + -1/246. Suppose -4*c + 16/13 + m*c**3 + 2*c**2 = 0. What is c?
-4, 2/5, 1
Let a(u) be the first derivative of -u**4/16 + u**3/8 + 3*u**2/4 - 83*u + 91. Let x(i) be the first derivative of a(i). Factor x(m).
-3*(m - 2)*(m + 1)/4
Let p(y) be the first derivative of y**3 - 4374*y**2 + 6377292*y + 995. Find k such that p(k) = 0.
1458
Let b(l) = 4*l**2 - 9*l + 30. Let r(s) = -610*s - 17 + 617*s - 11 - 3*s**2. Let w(g) = -4*b(g) - 5*r(g). Factor w(o).
-(o - 5)*(o + 4)
What is x in 40763*x**4 - 2128*x**3 - 19963*x**4 + 4*x**5 - 18676*x**4 = 0?
-532, 0, 1
Let l(r) be the first derivative of -r**6/2 + 207*r**5/5 - 4053*r**4/4 + 5571*r**3 - 11040*r**2 + 9216*r + 917. Solve l(b) = 0.
1, 3, 32
Suppose -5*g + 0*d + 570 = 3*d, -4*d = g - 131. Let 2*o**2 + 2116 + 55*o - 128*o + o**2 - g*o + o**2 = 0. Calculate o.
23
Let a = -52 - -36. Let i be ((-78)/24 - -4)/((-6)/a). Determine m, given that -12*m**3 - 4*m**i - 30*m**5 + 8*m - 29*m**5 + 63*m**5 + 0*m**4 + 4*m**4 = 0.
-2, -1, 0, 1
Let v(q) be the second derivative of 5/4*q**4 + 0 - 51/80*q**5 + 1/10*q**6 + 0*q**2 - 1/2*q**3 - 208*q. Factor v(k).
3*k*(k - 2)**2*(4*k - 1)/4
Let g be 84/490*35 + 290*5. Factor g*n + 784/3 + 103*n**2 + 11/6*n**3.
(n + 28)**2*(11*n + 2)/6
Let v(x) be the second derivative of x**4/12 - 4*x**3/3 - 36*x + 5. Let v(m) = 0. What is m?
0, 8
Let m(i) = -13*i**3 - 7*i**2 + 4*i. Let g(n) = 3*n**3 - n. Let d(z) = 4*g(z) + m(z). Suppose d(h) = 0. What is h?
-7, 0
Solve -764/15*j**2 + 2/3*j**5 + 764/15*j**4 + 0 - 304/15*j + 98/5*j**3 = 0.
-76, -1, -2/5, 0, 1
Let p = 5 + -1. Let q be 7/(-14) + p/8. Solve -1/5*a**5 - 1/5*a**3 + 0*a + 2/5*a**4 + q + 0*a**2 = 0.
0, 1
Suppose 133*o - 966 = 110*o. Let x = -37 - -161. Factor -7*n**2 - o*n + x + 10*n**2 - 85.
3*(n - 13)*(n - 1)
Let w(j) = -227*j + 1365. Let f be w(6). Let o(r) be the third derivative of 0*r + 1/72*r**6 + 0*r**4 + 1/18*r**5 + 0 + 0*r**f + 2*r**2. Factor o(v).
5*v**2*(v + 2)/3
Let k(i) = 2*i + 2. Let a(v) = -v**2 - 526*v + 8. Let b(f) = -a(f) + 4*k(f). Determine d so that b(d) = 0.
-534, 0
Let x(p) be the second derivative of 0*p**2 - 17*p + 0 + 1/20*p**5 + 1/6*p**4 - 1/2*p**3. Factor x(o).
o*(o - 1)*(o + 3)
Let s = -31 + 96. Suppose -8*h + s = 5*h. Suppose -5*j**5 - h*j**3 + 0*j**4 + 8*j**4 + 2*j**4 = 0. What is j?
0, 1
Let c(o) be the second derivative of -o**4 - 1/60*o**5 - 24*o**3 + 12*o + 31/2*o**2 - 1. Let b(l) be the first derivative of c(l). Find x, given that b(x) = 0.
-12
Let o(l) be the third derivative of -23/156*l**4 - 50/39*l**3 + 0*l + 1/390*l**5 + 0 + 133*l**2. Factor o(g).
2*(g - 25)*(g + 2)/13
Let l = -20714 + 20716. Determine k so that 26/3*k**2 + l*k**3 + 32/3*k + 8/3 = 0.
-2, -1/3
Let j(d) be the third derivative of 153*d**7/70 + 16*d**6 + 83*d**5/15 - 2*d**4/3 - 1059*d**2. Factor j(w).
w*(w + 4)*(9*w + 2)*(51*w - 2)
Suppose 3*v**2 + 2142*v + 136723 + 189977 - 162*v = 0. What is v?
-330
Let w(x) be the second derivative of -x**4/12 - x**3 - 5*x**2/2 + 14*x. Let c be w(-4). Factor v + 3*v + c*v**2 + 5*v.
3*v*(v + 3)
Let b = -1342 - -1344. Suppose -8*f - 5*a + 25 = -6*f, -b*f + 5 = a. Solve f - 1/8*n**2 + 7/8*n = 0 for n.
0, 7
Solve 2410/3*w**2 + 8665/3*w + 5*w**3 + 1570 = 0 for w.
-157, -3, -2/3
Let v be (-1)/4 + 3939/12. Let s be v/15 - 0 - 2/(-15). Solve -241*t - 4*t**3 - s + 4*t**4 - 36*t**2 + 197*t + 6 = 0.
-1, 4
Suppose -4*k + 244 = -4*l + 20, 2*k - 5*l = 115. Let c = 59 - k. Factor 4/5*h**3 + 0*h + 4/5*h**c + 0 + 0*h**2.
4*h**3*(h + 1)/5
Let o be (-5)/((-215)/(-989)) - -25. Find q, given that -2/15*q + 4/15*q**3 + 2/15*q**4 - 2/15*q**5 + 2/15 - 4/15*q**o = 0.
-1, 1
Factor 324/17 + 114/17*y + 2/17*y**2.
2*(y + 3)*(y + 54)/17
Let u be (-3 - -5 - 6)*14/(-112). Let g(w) be the second derivative of 1/8*w**3 + u*w**2 - 14*w - 1/48*w**4 + 0. Suppose g(z) = 0. Calculate z.
-1, 4
Let j be (4*30/(-75))/((-42)/5). Suppose -16*c + 5*c = -22. Factor 2/21 + j*f**c - 2/7*f.
2*(f - 1)*(2*f - 1)/21
Suppose 1223 = 21*x + 1118. Let r(n) be the second derivative of -2*n**4 + 9*n + 0 - 1/5*n**x - 22/3*n**3 - 12*n**2. Factor r(j).
-4*(j + 1)*(j + 2)*(j + 3)
Let u = 758545 - 758545. Factor u - 11*r + 1/2*r**2.
r*(r - 22)/2
Let p(i) be the first derivative of -4/25*i**5 - 1/2*i**4 + i**2 + 4/15*i**3 + 0*i + 39. Determine q, given that p(q) = 0.
-5/2, -1, 0, 1
Let s(p) be the first derivative of -1/3*p**3 - 97 + 6*p + 1/2*p**2. Determine x, given that s(x) = 0.
-2, 3
Let d = 143/244 + -21/244. Let -q + 0 + d*q**2 = 0. What is q?
0, 2
Let k(o) be the first derivative of o**4 + 76*o**3/3 + 48*o**2 - 2880*o + 4613. Factor k(b).
4*(b - 5)*(b + 12)**2
Let y be 86/4 - (-51 + 3792/79). Suppose 57/2*q - 11 + 15/2*q**3 - 1/2*q**4 - y*q**2 = 0. What is q?
1, 2, 11
Suppose 26 = -5*q + 8*q + 2*a, a - 34 = -5*q. Suppose 15*y**2 - 5*y**2 - q*y**2 + 6 + 104 - 65*y + y**2 = 0. Calculate y.
2, 11
Let g(u) = u + 25. Let o be g(-9). Suppose 11*h**2 + 3*h**3 - o*h - 3 + 21*h + 0 = 0. Calculate h.
-3, -1, 1/3
Solve -14/17*q**4 - 5226/17*q**2 + 2588/17*q + 1200/17 + 1452/17*q**3 = 0.
-2/7, 1, 3, 100
Let t(x) be the second derivative of 1/5*x**5 - 4/5*x**6 + 32/3*x**3 - 15 + 2/21*x**7 + 0*x**2 + 8*x**4 + 3*x. Factor t(v).
4*v*(v - 4)**2*(v + 1)**2
Let d = 612407/1555 + -756/311. Let l = -391 + d. Factor -1/5 + 3/5*m**4 + 3/5*m - 1/5*m**5 - 2/5*m**2 - l*m**3.
-(m - 1)**4*(m + 1)/5
Let q = -158 - -162. Factor 3*a**2 + 2*a**2 - 6 + 5*a**3 - 5*a - 3 + q.
5*(a - 1)*(a + 1)**2
Suppose 2*r + 6*b = b - 49, 4*r + 53 = -b. Let c be 30/4*(-64)/r. Factor -45 - 2*g + 81 - c + 2*g**2.
2*(g - 2)*(g + 1)
Let n(i) be the first derivative of 9/10*i**5 + 3/2*i**2 - 7/2*i**3 - 141 + 3/4*i**4 + 0*i. Find t, given that n(t) = 0.
-2, 0, 1/3, 1
Let m(i) be the first derivative of 16*i + 17/2*i**2 - 24 + 1/3*i**3. Find b, given that m(b) = 0.
-16, -1
Suppose -7*v + 4*p = -12*v + 3, -v = p. Suppose -4*h + 8 = s, -11*h + 5*s - v*s + 22 = 0. Let -8/7 + 12/7*w - 4/7*w**h = 0. Calculate w.
1, 2
Let q(s) be the first derivative of -120*s**2 + 108*s + 472/9*s**3 - 91 + 4/15*s**5 - 20/3*s**4. What is r in q(r) = 0?