 - 13*l + 0. Determine q so that g(q) = 0.
-1, 0, 2
Determine g, given that -2/3*g**3 + 64/3*g + 0 + 1/3*g**5 - 24*g**2 + 3*g**4 = 0.
-8, -4, 0, 1, 2
What is s in -4853209/3 - 1/3*s**2 + 4406/3*s = 0?
2203
Let x = -29/3801 - -391/3801. Suppose 32/21*a - 128/21 - x*a**2 = 0. What is a?
8
Suppose -118/5*l - 228/5 - 2/5*l**2 = 0. What is l?
-57, -2
Let a(p) be the third derivative of 5*p**8/1008 + 41*p**7/315 - 37*p**6/90 - 2*p**5/5 + 10*p**2 - 10*p. Determine y, given that a(y) = 0.
-18, -2/5, 0, 2
Let t(z) = 65*z**3 - 1085*z**2 + 4455*z - 3395. Let b(l) = 23*l**3 - 362*l**2 + 1485*l - 1132. Let k(x) = -20*b(x) + 7*t(x). Determine g, given that k(g) = 0.
-75, 1, 3
Let a(n) be the first derivative of -15*n**4 + 0*n + 10/3*n**3 + 5/12*n**6 + 5/2*n**5 + 40*n**2 + 143. Suppose a(t) = 0. Calculate t.
-8, -1, 0, 2
Suppose -32 = 5*l + 68. Let i = -20 - l. Factor 2*z**4 + 72*z**3 - 3*z**5 - 70*z**3 - 3*z**4 + i*z**4.
-z**3*(z + 1)*(3*z - 2)
Let u(s) be the third derivative of s**5/100 + 189*s**4/8 + 472*s**3/5 + s**2 + 5*s + 34. Factor u(o).
3*(o + 1)*(o + 944)/5
Let q be (-8759)/(-3135) - 4/2*(-198)/(-5940). Factor -2/11*u**3 + 48/11 - 76/11*u + q*u**2.
-2*(u - 12)*(u - 2)*(u - 1)/11
Let g(r) be the first derivative of r**7/280 - 7*r**6/60 + 33*r**5/40 - 3*r**3 + 10*r**2 + 302. Let q(h) be the third derivative of g(h). Factor q(l).
3*l*(l - 11)*(l - 3)
Let c(x) be the second derivative of -8*x**6/3 + 86*x**5 - 845*x**4/12 + 35*x**3/2 + 3388*x. Solve c(y) = 0.
0, 1/4, 21
Let g(h) = -h**3 + 24*h**2 - h + 26. Let t be g(24). Let n(z) = -3*z**2 - 22*z. Let p(x) = -5*x**2 - 45*x. Let a(c) = t*p(c) - 5*n(c). Solve a(i) = 0 for i.
-4, 0
Let y(s) be the second derivative of -s**5/60 - s**4/2 + 13*s**3/6 + 44*s**2 - 138*s. Let m(r) be the first derivative of y(r). Factor m(d).
-(d - 1)*(d + 13)
Suppose 182*x**2 + 1/2*x**4 + 183*x - 365/2 - 183*x**3 = 0. What is x?
-1, 1, 365
Let n = 471 + -462. Suppose 3*h + 3 = n. Factor 4/3*w + 1 + 1/3*w**h.
(w + 1)*(w + 3)/3
Let w(c) be the second derivative of -2*c**4/15 + 697*c**3/15 + 105*c**2 + 23*c + 38. Factor w(y).
-2*(y - 175)*(4*y + 3)/5
Let v(d) = 5*d - 104. Let i(y) = y**2 + 32*y + 277. Let s be i(-17). Let r be v(s). Suppose -53/2*a**2 + 7/2*a**4 - 21*a - r*a**3 - 4 = 0. Calculate a.
-1, -2/7, 4
Factor -5 + 13/4*g**3 + 89/4*g**2 + 29*g.
(g + 2)*(g + 5)*(13*g - 2)/4
Let t(a) be the second derivative of -40*a + 1/6*a**3 + 1/3*a**2 + 0*a**4 - 1/60*a**5 + 0. Factor t(m).
-(m - 2)*(m + 1)**2/3
Let o(x) be the second derivative of 33*x**5/20 - 351*x**4/4 + 1392*x**3 + 384*x**2 - 8*x + 47. Factor o(t).
3*(t - 16)**2*(11*t + 1)
Let g(j) be the first derivative of -129/2*j**2 + 23*j**3 - 3/4*j**4 + 63*j - 189. Let g(d) = 0. What is d?
1, 21
Let i(h) be the third derivative of -h**6/30 + 208*h**5/15 - 1656*h**4 - 62208*h**3 - 77*h**2 + 26*h - 1. Factor i(j).
-4*(j - 108)**2*(j + 8)
Determine p so that -271/4*p + 273/2 - 1/4*p**2 = 0.
-273, 2
Suppose 17*y = -11*y + 14616. Find a, given that a**2 + a**3 + 519*a**4 - a - 1042*a**4 + y*a**4 = 0.
-1, 0, 1
Let c(t) be the first derivative of 399/8*t**2 - 18*t - 147 - 11/8*t**3. Suppose c(z) = 0. What is z?
2/11, 24
Let k(j) = -5*j**4 - 9246*j**3 - 5689964*j**2 - 1167586119*j + 233744903. Let i(a) = -a**3 + 4*a**2 - a + 1. Let f(u) = 14*i(u) - 2*k(u). Factor f(l).
2*(l + 616)**3*(5*l - 1)
Let m(c) be the first derivative of c**6/90 - 7*c**5/30 + c**4 - 77*c**3/3 - 146. Let k(s) be the third derivative of m(s). Determine g so that k(g) = 0.
1, 6
Let h(x) be the third derivative of -x**6/180 + 139*x**5/15 - 19321*x**4/4 - 2282*x**2. Solve h(i) = 0.
0, 417
Let l(s) be the second derivative of -3*s**7/70 - 16*s**6/25 - 33*s**5/100 + 213*s**4/10 - 154*s**3/5 - 588*s**2/5 + 563*s - 3. Let l(o) = 0. What is o?
-7, -2/3, 2
Let x**4 + 4*x - 12*x**2 - 465 + x**3 + 951 - 470 = 0. Calculate x.
-4, -1, 2
Suppose -7*a - 30*a = 32*a + 18*a. Let i(s) be the first derivative of -18 - 3*s**2 - 2/3*s**3 + a*s. Factor i(x).
-2*x*(x + 3)
Let i(m) = -7*m**3 + 1. Let s be i(-1). Suppose -g - g = -s*g. Find q, given that g - 2/9*q**2 - 10/9*q = 0.
-5, 0
Let f be ((-15)/(-30))/(1/4). Suppose 2*t - 2*n = 130, 0 = -4*t + f*n + 3*n + 264. Suppose z**4 - 62*z**3 + 0*z**4 + t*z**3 = 0. Calculate z.
0, 1
Let u(p) be the third derivative of -p**6/600 - p**5/3 - 176*p**4/15 - 896*p**3/5 + 659*p**2 + p. Determine m, given that u(m) = 0.
-84, -8
Let o be ((-81)/6)/(2/(-12)). Suppose 165*h - 44*h = -117*h + 4998. What is u in h*u - 161 - 76*u**2 + 74*u**2 - 289 - o*u = 0?
-15
Let o = 10525759/779686 + 1/389843. Find r such that 3/2*r**3 + o*r**2 - 75/2 + 45/2*r = 0.
-5, 1
Let i = -9134 + 9137. Let x(j) be the third derivative of 0*j**i + 0*j - 19*j**2 + 0 + 1/8*j**4 - 9/20*j**5 - 8/35*j**7 + 3/5*j**6. Factor x(p).
-3*p*(p - 1)*(4*p - 1)**2
Let b(q) be the second derivative of q**6/180 - 3*q**5/40 + 3*q**4/8 - 31*q**3/36 + q**2 - 42*q - 72. Find f, given that b(f) = 0.
1, 3, 4
Factor 2 - 4/3*k + 2/9*k**2.
2*(k - 3)**2/9
Let m be 11622/(-6632) + (-168)/(-96). Let u = m - -5807/1658. Factor 0 + i**3 + u*i**2 + 3/2*i.
i*(i + 3)*(2*i + 1)/2
Let l(i) = -64*i**2 + 7216*i - 21432. Let o(x) = -9*x**2 + 1031*x - 3062. Let u(r) = -5*l(r) + 36*o(r). Factor u(f).
-4*(f - 256)*(f - 3)
Let j(n) be the first derivative of 27/32*n**4 - 199 - 9*n - 119/8*n**3 + 201/8*n**2. Solve j(t) = 0.
2/9, 1, 12
Let p(b) be the second derivative of b**7/2016 + 11*b**6/288 - 37*b**4/12 + b**2 - 4*b + 28. Let t(g) be the third derivative of p(g). Factor t(i).
5*i*(i + 22)/4
Let i(m) = 87*m**2 - 1526*m + 228. Let t(w) = 2*w**2 - w - 17. Let r(k) = i(k) + 4*t(k). Factor r(y).
5*(y - 16)*(19*y - 2)
Let w(g) = -g**3 + g**2 - g + 3. Let a(p) = -30*p**3 + 55*p**2 + 10*p + 75. Let u(q) = -a(q) + 25*w(q). Factor u(c).
5*c*(c - 7)*(c + 1)
Let q(p) be the third derivative of 66*p**2 + 1/105*p**7 + 0*p**3 + 0*p**5 - 1/50*p**6 - 1/840*p**8 + 2 + 0*p + 0*p**4. Determine f so that q(f) = 0.
0, 2, 3
Suppose 0 = 23*p - 21*p + 2*z - 8, -5*p - 3*z + 12 = 0. Suppose -16*h + 28*h = p. Let -10*a - 5/2*a**2 + h = 0. What is a?
-4, 0
Let x(i) be the third derivative of -i**8/1008 + i**7/90 - 19*i**6/360 + 5*i**5/36 - 2*i**4/9 + 2*i**3/9 + 3760*i**2. Factor x(p).
-(p - 2)**2*(p - 1)**3/3
Let r(q) = 3*q**2 - 53*q + 77. Let w(c) = -c**2 - 10*c - 38. Let l be w(-7). Let b(f) = -f**2 + 18*f - 26. Let g(y) = l*b(y) - 6*r(y). Factor g(p).
-(p - 10)*(p - 2)
Let c = 18465959/1357790 + -3/271558. Find q such that c*q + 4*q**2 + 64/5 + 1/5*q**3 = 0.
-16, -2
Determine x, given that 70*x - 2/3*x**2 - 396 = 0.
6, 99
Let j = -759 - -759. Let t be 8 + (j - 9) + (-34)/(-18). What is x in 0*x + 0 - 2/9*x**5 + 8/9*x**4 + 2/9*x**3 - t*x**2 = 0?
-1, 0, 1, 4
Let i(s) = s**2 - 2*s + 2. Let b be i(-6). Let o = 53 - b. Factor d + 4*d + 27*d**o + d + 33*d**2.
3*d*(d + 1)*(9*d + 2)
Suppose -3*h - 5*m + 52 = 0, -5*h - 13 = 3*m - 57. Solve -14/13 - 14/13*n**h - 2/13*n**5 + 4/13*n**3 + 28/13*n**2 - 2/13*n = 0 for n.
-7, -1, 1
Let o(c) be the third derivative of -c**6/240 + 111*c**5/40 - 9405*c**4/16 + 27225*c**3/4 + 138*c**2 + 6. Factor o(s).
-(s - 165)**2*(s - 3)/2
Factor 1/3*u**2 + 63 + 10*u.
(u + 9)*(u + 21)/3
Let p(l) be the first derivative of l**8/48 + l**7/105 - 7*l**6/120 - l**5/30 - l**2/2 + 5*l + 109. Let a(j) be the second derivative of p(j). Factor a(c).
c**2*(c - 1)*(c + 1)*(7*c + 2)
Let g(o) = o**3 - 1. Let s(c) = 8*c**3 - 34*c**2 - 74*c - 44. Suppose -56 = -16*j + 40. Let h(v) = j*g(v) - s(v). Factor h(u).
-2*(u - 19)*(u + 1)**2
Find j such that 139221560/9*j**2 + 145*j**4 + 638960/9*j**3 + 3811057360/3*j + 11294588176/9 + 1/9*j**5 = 0.
-326, -1
Suppose 4*x = 2*x - 1 + 7. Let o(f) be the third derivative of 13*f**2 + 0*f**4 + 1/6*f**x + 0 - 1/60*f**5 + 0*f. Factor o(q).
-(q - 1)*(q + 1)
Let t be (-1)/(-23) + 667/(-8464)*-5. Let o(f) be the first derivative of t*f**4 + 36 - 19/12*f**3 + 17/8*f**2 - 5/4*f. Solve o(l) = 0.
5/7, 1
Suppose -4*j + 7*y + 78 = 12*y, 0 = -29*j + 3*y + 16. Factor -72/5*r - 2/5*r**j - 648/5.
-2*(r + 18)**2/5
Let q = -30485/4 + 7480. Let v = q + 142. Factor 9/4*f**3 - 3/2 - 9/4*f + 3/4*f**2 + v*f**4.
3*(f - 1)*(f + 1)**2*(f + 2)/4
Let h(q) be the third derivative of q**6/720 + q**5/60 - 109*q**4/144 - 13*q**3/2 + q**2 - 4936. Factor h(g).
(g - 9)*(g + 2)*(g 