1182*z**3 - 564*z + 297*z**4 = 0. What is z?
-2/99, 1, 2
Let r(o) be the second derivative of 300*o**2 - 2 - 3/20*o**5 + 11/2*o**4 - 21*o - 70*o**3. Factor r(u).
-3*(u - 10)**2*(u - 2)
Let j = 113 - 108. Let d(a) = -4*a**3 + 8*a**2 - 4*a. Let h(f) = -4*f**3 + 8*f**2 - 4*f. Let q(n) = j*h(n) - 6*d(n). Solve q(i) = 0.
0, 1
Let t be 3*(-6)/45*(-20)/28. Factor t*b**2 - 92/7*b + 1058/7.
2*(b - 23)**2/7
Suppose -16*h = -21*i + 20*i + 99, -5*i = -h - 21. Factor 1/5*d**i - 1/5*d + 0*d**2 + 0.
d*(d - 1)*(d + 1)/5
Suppose -36*a = -35*a - 102. Suppose a - 2*t**2 - 204 + 102 - 4*t = 0. What is t?
-2, 0
Suppose -1627*o = -1679*o + 156. Let q(u) be the first derivative of -9/8*u - 19 - 1/8*u**o + 15/16*u**2 - 3/32*u**4. Solve q(g) = 0 for g.
-3, 1
Suppose 5*u - 3 - 12 = 0. Suppose -5*o = 4*g - 35, -g - 12 = o - 20. Let u*v**5 + 12*v**2 - 2*v**4 - v**4 - 4*v**o - 5*v**3 - 6*v + 3*v**2 = 0. Calculate v.
-2, 0, 1
Suppose c - 8 = -2*p, -2*c + 50*p - 53*p + 14 = 0. Let r be (-550)/(-1125) + c/36. Suppose r*g**2 + 3/5*g - 6/5 = 0. Calculate g.
-2, 1
Let a = 369 + -539. Let b = -167 - a. Determine n, given that 10/11*n**2 - 2/11*n + 0 - 8/11*n**b = 0.
0, 1/4, 1
Suppose 3*x = 3*h - 492, 4*h - 414 - 227 = -x. Let v be h/49 + (-1)/(2/6). What is q in -1/7*q**3 + v*q**2 + 4/7 + q = 0?
-1, 4
Let x(o) = -10*o**2 - 13*o - 10. Suppose -39*m - 194 = 79. Let h(u) = 0*u + 0*u - 6*u - u - 5*u**2 - 5. Let c(g) = m*h(g) + 3*x(g). Find n such that c(n) = 0.
-1
Let q(d) be the third derivative of d**6/120 + 7*d**5/60 + 2*d**3/3 + 22*d**2. Let t be q(-7). Solve 96*a**2 - 46*a**2 + 4*a**3 + 12*a - 62*a**2 - t = 0.
1
Let z(w) = 63*w**3 + 104*w**2 - 31*w**3 - 14 + w**3 + 52*w. Let q(g) = 17*g**3 + 52*g**2 + 26*g - 6. Let h(n) = -5*q(n) + 3*z(n). Factor h(i).
2*(i + 1)*(i + 3)*(7*i - 2)
Let i = 681/329 - -165/329. Factor 4/7 + i*k - 4/7*k**2 - 18/7*k**3.
-2*(k - 1)*(k + 1)*(9*k + 2)/7
Let j be ((-8)/24)/(1/(-30)). Suppose j*k - 2*k = 136. Find v, given that -7*v + k*v**2 - 45*v - 16 - 3*v**2 = 0.
-2/7, 4
Suppose -26*c + 22*c - 120 = 0. Let l be 0/(3*2*5/c). Factor -1/5*x + l + 1/5*x**4 + 1/5*x**3 - 1/5*x**2.
x*(x - 1)*(x + 1)**2/5
Let x(o) be the first derivative of 0*o**2 + 9/4*o**4 + 14/5*o**5 + 10 + 1/3*o**3 - 4*o**6 + 0*o. Find t such that x(t) = 0.
-1/4, -1/6, 0, 1
Factor 2 + 160*o**5 - 164*o**5 + 0 - 4*o**4 - 2.
-4*o**4*(o + 1)
Let m(r) be the third derivative of -r**7/70 - 3*r**6/20 + 19*r**5/20 + 3*r**4 - 93*r**2 + 7*r. What is v in m(v) = 0?
-8, -1, 0, 3
Determine f, given that 0 - 91/5*f**3 + 348/5*f + 1/5*f**5 + 26/5*f**4 - 104/5*f**2 = 0.
-29, -2, 0, 2, 3
Solve -8/9*s**3 + 4/3*s**4 + 0 + 10/9*s - 2/9*s**5 - 4/3*s**2 = 0 for s.
-1, 0, 1, 5
Factor 840*r**3 + 152*r**4 + 128*r**4 - 9*r**5 + 202500 + 22950*r**2 + 12145*r - 238270*r - 450*r**4 + 14*r**5.
5*(r - 15)**3*(r - 1)*(r + 12)
Let s(f) be the first derivative of -5*f**5 - 935*f**4 - 45362*f**3 + 141746*f**2 - 143641*f + 7489. Solve s(m) = 0.
-379/5, 1
Determine s, given that 0 + 45/2*s + 73/4*s**2 + 4*s**3 + 1/4*s**4 = 0.
-9, -5, -2, 0
Let f(u) = 2*u**2 + 4*u. Let h(y) = -5*y**2 + 55*y + 162. Let c(v) = -3*f(v) - h(v). Let n(s) = -33*s - 81. Let g(b) = 3*c(b) - 5*n(b). Solve g(l) = 0 for l.
-9, -3
Let g(m) be the second derivative of 0 - 2*m - 605/2*m**2 - 5/12*m**4 - 55/3*m**3. Factor g(x).
-5*(x + 11)**2
Let z(x) be the first derivative of -x**3/24 - 75*x**2 - 45000*x - 1863. Suppose z(r) = 0. What is r?
-600
Let d(t) be the second derivative of t**6/40 + 49*t**5/300 - 7*t**4/20 + 4*t**3/15 + 105*t**2 + 195*t. Let l(b) be the first derivative of d(b). Factor l(o).
(o + 4)*(3*o - 1)*(5*o - 2)/5
Let c be (7/56 + (-2402)/16)/1. Let p = -147 - c. Solve 2/11*q - 2/11*q**2 - 2/11*q**p + 2/11 = 0.
-1, 1
Find k, given that 38/9*k + 34/9*k**3 - 2/9*k**4 + 74/9*k**2 + 0 = 0.
-1, 0, 19
Let u = 442 + -442. Let p be -1 + -3 + 9 + -2 + u. Solve 4/3*b - 4/3 + 4/3*b**2 - 4/3*b**p = 0 for b.
-1, 1
Solve -12*j**4 - 23*j + 24 - 33*j**3 + 45*j**3 - 45*j + 19*j**3 + 21*j**3 - 28*j**2 = 0 for j.
-1, 1/3, 2, 3
Let y(z) = -34*z**2 + 300*z + 85. Let q(w) = 16*w**2 - 150*w - 42. Let t be (-9)/(-15) - 720/75. Let f(o) = t*q(o) - 4*y(o). Factor f(p).
-2*(p - 19)*(4*p + 1)
Solve 73 - h**2 - 656/3*h = 0.
-219, 1/3
Let c be (1/(-3))/((-12)/108). Suppose -5*h + 15 = p, h - 3*p + 9 = -2*h. Factor 24*o + 8 - 22*o**h + 4*o**2 + 0*o**c - 14*o**3.
-2*(o - 1)*(o + 2)*(7*o + 2)
Let k(x) be the second derivative of -1/16*x**4 + 10*x + 1/80*x**5 - 4*x**2 + 0 + 1/8*x**3. Let n(p) be the first derivative of k(p). Factor n(s).
3*(s - 1)**2/4
Let o(x) be the second derivative of 119*x + 0 + 62/3*x**3 + 1/3*x**4 - 64*x**2. What is h in o(h) = 0?
-32, 1
Let x(a) be the third derivative of a**8/3024 - a**7/1890 - a**6/135 + a**5/45 + 2220*a**2 + 2. Find n such that x(n) = 0.
-3, 0, 2
Let h(q) be the first derivative of -q**3/12 + 49*q**2/8 - 12*q - 2297. Let h(t) = 0. What is t?
1, 48
Let p be 8/10 - (-3 - -2). Let a(l) = -113*l + 2376. Let m be a(21). Determine i, given that p + m*i**2 + 3/5*i**3 + 21/5*i = 0.
-3, -1
Factor -21*z + 0 - 6/5*z**2 + 3/5*z**3.
3*z*(z - 7)*(z + 5)/5
Let k(l) be the first derivative of l**6/9 - 424*l**5/5 + 22038*l**4 - 1871424*l**3 - 38631168*l**2 - 241864704*l + 8006. Factor k(d).
2*(d - 216)**3*(d + 6)**2/3
Let f(q) = 87*q + 1916. Let h be f(-22). Let r(u) be the first derivative of 0*u**h - 13 + 20/3*u - 5/9*u**3. Factor r(x).
-5*(x - 2)*(x + 2)/3
Let q be (0 + (14 - 18))/(-3 + -2). Solve 272/5*a - 4624/5 - q*a**2 = 0.
34
Suppose 15*g + 17*g = -1216. Let z be 57/g*2/(-9). Factor 1/6*j**2 + z - 1/2*j.
(j - 2)*(j - 1)/6
Let v(f) be the third derivative of f**7/630 - f**6/120 - f**5/45 + f**4/6 - 1139*f**2. Find k, given that v(k) = 0.
-2, 0, 2, 3
Determine a so that 36 - 462*a - 86*a**2 - 6692*a**3 + 13427*a**3 - 6633*a**3 + 26*a**4 = 0.
-3, 1/13, 2
Determine m so that -2/7*m**5 - 130560/7 + 130048/7*m + 7968/7*m**3 - 48448/7*m**2 - 478/7*m**4 = 0.
-255, 4
Suppose 50*j - 51*j + 2 = -4*x, -x = 4*j - 8. Let f(p) be the first derivative of 3 - 75/4*p - 1/4*p**3 + 15/4*p**j. Solve f(q) = 0.
5
Suppose -7*d = -2*d - 4*j + 942, -180 = d - 5*j. Let r be ((-230)/12)/(-5) - (-475)/d. Factor -n**3 - 4*n + 11/3*n**2 + r.
-(n - 2)*(n - 1)*(3*n - 2)/3
Suppose 2112/5*v - 3/5*v**5 + 11616/5 - 84/5*v**4 - 2082/5*v**2 - 759/5*v**3 = 0. Calculate v.
-11, -4, 2
Let c = -7/2955 + 1189/2955. Suppose -448/5*i - 512/5 + 62/5*i**2 - c*i**3 = 0. Calculate i.
-1, 16
Let q(t) be the first derivative of -t**4/28 - 23*t**3/21 - 31*t**2/7 - 40*t/7 + 1305. Factor q(d).
-(d + 1)*(d + 2)*(d + 20)/7
Let m(a) be the first derivative of -118*a**3/15 - 179*a**2/5 - 12*a/5 - 125. Let m(b) = 0. What is b?
-3, -2/59
Suppose 6854*r - 6661*r - 579 = 0. Factor 4/5*s - 4/5*s**r + 0 - 2/5*s**4 + 2/5*s**2.
-2*s*(s - 1)*(s + 1)*(s + 2)/5
Let a(v) = 7*v + 10. Let m be a(-1). Factor b**5 - 14*b**2 + 6*b**3 - 5*b - b**4 - b**4 - 9*b**m - 9*b**3.
b*(b - 5)*(b + 1)**3
Let v(w) be the first derivative of w**5/40 - 27*w**4/32 + 47*w**3/24 + 75*w**2/16 + 1106. Solve v(s) = 0.
-1, 0, 3, 25
Let u(s) = s**2 - 40*s - 273. Let g be u(-6). Let b(z) be the first derivative of 3/2*z**2 + 0*z - 1/4*z**4 - 10 - 2/3*z**g. Solve b(q) = 0.
-3, 0, 1
Let f(y) = -4 + 29*y - 28*y + 4. Let r(q) = -q**4 - 10*q**3 - 25*q**2 - 5*q. Let i(h) = 5*f(h) + r(h). Factor i(x).
-x**2*(x + 5)**2
Factor 6/7 - 5/7*v + 1/7*v**2.
(v - 3)*(v - 2)/7
Let u(z) be the third derivative of -z**8/336 - 44*z**7/105 - 897*z**6/40 - 7903*z**5/15 - 11858*z**4/3 - 10976*z**3 - z**2 - 822. Factor u(x).
-(x + 1)*(x + 3)*(x + 28)**3
Let j(z) be the third derivative of 45/8*z**4 + 0*z - 3*z**2 + 56/3*z**7 + 105/4*z**6 + 245/48*z**8 + 38 + 18*z**5 + 0*z**3. Find m, given that j(m) = 0.
-1, -3/7, 0
Factor -3/5*j**2 - 489/5*j - 288.
-3*(j + 3)*(j + 160)/5
Let i(d) = -2*d**4 + 1680*d**3 - 346019*d**2 - 2849286*d - 5752820. Let m(f) = f**2 + 2*f - 4. Let v(j) = -i(j) - 3*m(j). Suppose v(l) = 0. What is l?
-4, 424
Let a(t) be the second derivative of -100*t**7/21 - t**6/6 + 3*t**5/2 + 457*t - 3. Factor a(i).
-5*i**3*(5*i + 2)*(8*i - 3)
Determine f, given that -22*f**5 + 14782*f**3 + 30976 + 348*f**4 - 51*f**5 - 14784*f - 31324*f**2 + 75*f**5 = 0.
-88, -1, 1, 2
Solve 24*k**3 - 21*k**3 - 1440 + 48*k**3 + 270*k**2 - 32*k + k**4 = 0.
-45, -4, 2
