53*o - 1094. Let m(i) = -5*g(i) - 2*j(i). Factor m(x).
-2*(x - 286)*(x - 1)
Let x(q) be the first derivative of -5*q**6/6 - 5*q**5 + 105*q**4/4 - 115*q**3/3 + 20*q**2 + 2574. What is c in x(c) = 0?
-8, 0, 1
Determine r, given that -9*r**2 - 223*r**3 - 220*r**3 - 9*r**2 + 18*r + 659*r**3 - 224*r**3 = 0.
-3, 0, 3/4
Let m be 32/14 - (812/98 + -8). Suppose -6*q**2 - 37*q**3 + q**2 - 54*q + 61*q**3 - 4*q**m - 21*q**3 = 0. What is q?
-3, 0, 6
Factor 186*d**3 - 2*d**4 + 0*d**4 - 4024*d**2 + 6273*d + 18432 - 20865*d.
-2*(d - 48)**2*(d - 1)*(d + 4)
Let q = 346539 + -346537. Find v, given that 3/4 - 3/2*v + 3/4*v**q = 0.
1
Let b be 7 - ((-190)/(-20))/((-165)/198). Factor -42/5*j - b + 2/5*j**2.
2*(j - 23)*(j + 2)/5
Let r be (50/4 + -2)*41/(6888/72). Let z(x) be the second derivative of 0*x**2 - 1/15*x**6 - 33*x - r*x**4 - 9*x**3 + 0 - 9/10*x**5. Factor z(i).
-2*i*(i + 3)**3
Solve -3*n**4 + 2*n**5 + 9*n**4 + 850 + 846 - 1698 - 4*n**2 - 6*n + 4*n**3 = 0 for n.
-1, 1
Let c(g) be the first derivative of g**5/100 - 7*g**4/20 + 49*g**3/10 - 3*g**2/2 - 2*g - 61. Let t(i) be the second derivative of c(i). Solve t(m) = 0 for m.
7
Let g = -351 - -329. Let c(y) = -3*y**2 - y + 10. Let f(k) = -16*k**2 - 3*k + 48. Let l(a) = g*c(a) + 4*f(a). Determine m, given that l(m) = 0.
-7, 2
Factor 132 + 21*w**2 - 1/2*w**3 - 305/2*w.
-(w - 33)*(w - 8)*(w - 1)/2
Let p = 9903 - 148544/15. Let q(j) be the second derivative of 28*j - 1/6*j**4 + p*j**6 + 0*j**2 - 1/21*j**7 + 0*j**3 + 1/10*j**5 + 0. Factor q(f).
-2*f**2*(f - 1)**2*(f + 1)
Let s = -359006 - -12564149/35. Let p = -143/5 - s. Solve 2/7*t**4 + 0 + p*t + 6*t**3 - 50/7*t**2 - 6/7*t**5 = 0.
-3, 0, 1/3, 1, 2
Let p(z) be the third derivative of 1/320*z**6 + 0*z**3 - 4*z**2 + 0*z + 1/8*z**4 + 0 + 1/16*z**5 - 1/560*z**7. Factor p(r).
-3*r*(r - 4)*(r + 1)*(r + 2)/8
Find q such that 340/3 - 626/3*q - 4/3*q**3 - 106/3*q**2 = 0.
-17, -10, 1/2
Factor -235/4 + 1/8*x**2 - 37/8*x.
(x - 47)*(x + 10)/8
Let d = -1113626/7 - -159413. Let g = d - 323. Find r, given that -2/7*r + g - 2/7*r**2 = 0.
-2, 1
Let b(s) be the second derivative of 187*s + 0*s**2 + 0 + 70/3*s**3 + 1/3*s**4. Factor b(p).
4*p*(p + 35)
Let f = 568951/101144 + -2/12643. Find x, given that -f*x - 39/8*x**2 - 3/4 = 0.
-1, -2/13
Let q(i) = -i**3 + i**2 + 1. Let t(u) = 3*u**4 - 11*u**3 - 4*u**2 + 24*u - 7. Let s = -317 + 322. Let j(r) = s*q(r) - t(r). Factor j(k).
-3*(k - 2)*(k - 1)**2*(k + 2)
Let d be (-969*2/4)/(35/(-10)). Let t = -138 + d. Factor 3/7*m**4 + 9/7*m**3 + t*m**2 - 6/7 - 9/7*m.
3*(m - 1)*(m + 1)**2*(m + 2)/7
Let y(s) = s**2 + 12*s - 7. Let t = 182 + -179. Let u(z) = 4*z**2 + 58*z - 34. Let f(k) = t*u(k) - 14*y(k). Let f(p) = 0. What is p?
1, 2
Suppose -165 = -20*b - 13*b. Let c(r) be the third derivative of 5/72*r**4 - 1/180*r**b + 0 - 2/9*r**3 + 0*r + 18*r**2. Suppose c(f) = 0. What is f?
1, 4
Let p(s) be the second derivative of s**8/224 + 3*s**7/70 + 3*s**6/20 + s**5/5 + 24*s**2 + 2*s + 66. Let k(m) be the first derivative of p(m). Factor k(y).
3*y**2*(y + 2)**3/2
Let y = -76144 + 228437/3. Factor 10/3*d - 5 + y*d**2.
5*(d - 1)*(d + 3)/3
Let 6/5*s**3 - 18/5*s + 3*s**2 + 0 - 3/5*s**4 = 0. What is s?
-2, 0, 1, 3
Let c = -3007 + 3021. Let l(o) be the first derivative of 25*o**3 + 125/8*o**4 + c + 4*o + 15*o**2. Let l(u) = 0. What is u?
-2/5
Let s(g) = -g + 65 - g - g**2 - 66. Let f(h) = -20*h. Let r(d) = -f(d) + 5*s(d). What is j in r(j) = 0?
1
Let c = -1039 + 1049. Determine f, given that -218*f**5 + 106*f**5 - 98*f**3 + 110*f**5 + c*f**4 + 18*f**4 = 0.
0, 7
Let a(x) = 8*x**3 + 28*x**2 + 80*x + 72. Let y(r) = 9*r**3 + 27*r**2 + 80*r + 74. Let o = -12 + 7. Let g(n) = o*a(n) + 4*y(n). Factor g(f).
-4*(f + 2)**2*(f + 4)
Let j(a) be the second derivative of a**7/336 - 3*a**6/20 + 37*a**5/40 + 33*a**4 + 484*a**3/3 + 82*a. Find r, given that j(r) = 0.
-4, 0, 22
Let f(g) = g**2 + 2*g - 2. Let u be f(-2). Let d be (u + 2)/(-2 + 1 - -3). Solve -z + 1/3*z**2 + d = 0.
0, 3
Let d be 7 + (-12)/54*-120*(-25)/100. Suppose 0 = 2*h - 6*h. Suppose 0*l**2 - 1/3*l**3 + h + d*l = 0. Calculate l.
-1, 0, 1
Let v = 382587 - 382587. Factor -351/2*d**3 + v - 3/2*d**5 - 486*d**2 - 27*d**4 - 486*d.
-3*d*(d + 3)**2*(d + 6)**2/2
Let a = 8/13795 - -23023831/41385. Let m = 567 - a. Factor -16 - 4/3*p**3 + 4/3*p**2 + m*p.
-4*(p - 2)**2*(p + 3)/3
Determine o so that 100*o**2 + 5*o**3 + 35*o**2 + 245*o + 325*o + 440 = 0.
-22, -4, -1
Solve 32*n**2 + 129/4*n + 0 - 1/4*n**3 = 0 for n.
-1, 0, 129
Let r(w) be the first derivative of -2/9*w**3 + 1/12*w**2 - 194 + 2/3*w - 1/24*w**4. Factor r(l).
-(l - 1)*(l + 1)*(l + 4)/6
Suppose 27 + 72 = 9*y. Solve -12*h + y - 6*h + 2*h**2 + 30*h + 19 + 4*h = 0.
-5, -3
Let b be (-2)/24 - (6/(-9) - (-19)/(-228)). Let k(x) be the second derivative of -3*x + b*x**3 - 1/6*x**4 + 0 + 0*x**2. Factor k(i).
-2*i*(i - 2)
Let o(s) = s + 12. Let u be o(12). Let f(x) be the first derivative of 0*x + x**3 + 0*x + 0*x - 3*x - u. Factor f(j).
3*(j - 1)*(j + 1)
Let f(h) be the second derivative of h**4/12 + 134*h**3/3 + 8978*h**2 + 1052*h. Determine l, given that f(l) = 0.
-134
Let d(h) be the second derivative of 2/63*h**4 - 4/105*h**5 - 1/441*h**7 + 1 + 0*h**2 + 1/63*h**6 + 0*h**3 + 3*h. Factor d(m).
-2*m**2*(m - 2)**2*(m - 1)/21
Let q(n) = 54*n - 538. Let c be q(10). Let u(v) be the second derivative of -1/21*v**4 + 1/42*v**6 + 0*v**c + 2/35*v**5 + 0*v**3 + 0 + 30*v. Factor u(j).
j**2*(j + 2)*(5*j - 2)/7
Let l(y) = y**3 + 6*y**2 - 29*y - 72. Let s be l(-2). Factor 1/2*o - 1/2*o**3 - 1 + o**s.
-(o - 2)*(o - 1)*(o + 1)/2
Let x(z) be the second derivative of z**7/126 - 11*z**6/90 + 7*z**5/20 + 35*z**4/36 - 47*z**3/9 + 8*z**2 + z - 2. Determine g, given that x(g) = 0.
-2, 1, 3, 8
Let g(z) be the third derivative of -z**7/1365 + 11*z**6/260 - 61*z**5/390 - 11*z**4/52 + 62*z**3/39 - 130*z**2 + 2*z. Determine p, given that g(p) = 0.
-1, 1, 2, 31
Let f be 0*(1 - (-15)/(-40)*(3 + -1)). Let c(u) be the first derivative of -u**3 + 0*u + f*u**2 - 22 - 15/4*u**4. Suppose c(p) = 0. What is p?
-1/5, 0
Solve 12/5*r + 3/5*r**2 - 96/5 = 0.
-8, 4
Let t(z) be the third derivative of 14*z**6/255 - 47*z**5/255 + 35*z**4/204 + z**3/17 - 4126*z**2. Suppose t(u) = 0. Calculate u.
-1/14, 3/4, 1
Let y = -214463/66 - -6499/2. Let h(q) be the second derivative of 0*q**2 + y*q**3 + 1/22*q**4 + 30*q + 1/110*q**5 + 0. Let h(n) = 0. Calculate n.
-2, -1, 0
Suppose 64 - 1152*p - 856*p**2 + 1740*p**2 + 2738*p**3 + 4000*p**2 = 0. What is p?
-2, 4/37
Let y(i) be the first derivative of 1/12*i**5 + 0*i**3 - 7/2*i**2 + 0*i + 35 - 5/8*i**4. Let m(n) be the second derivative of y(n). Factor m(o).
5*o*(o - 3)
Let i(t) be the second derivative of -t**5/50 + 23*t**4/30 + 7*t**3 + 81*t**2/5 - 1673*t + 2. Factor i(y).
-2*(y - 27)*(y + 1)*(y + 3)/5
Let l = 1595/2136 + -57/712. Factor -20/3*a - 22/3 + l*a**2.
2*(a - 11)*(a + 1)/3
Let d be (2108/3720 - (-5)/(-6))*-6. Factor -d*k + 6/5 + 2/5*k**2.
2*(k - 3)*(k - 1)/5
Let y(f) = -2*f**2 + 621*f - 3350. Let s be y(305). Factor -2/15*p**s - 22/5*p + 6/5 + 92/15*p**2 + 6/5*p**4 - 4*p**3.
-2*(p - 3)**2*(p - 1)**3/15
Let 9 + 79/2*o - 9/2*o**2 = 0. What is o?
-2/9, 9
Let r be ((-1)/(-5) - (18684/(-1680) - -8)) + (-6)/(-14). Factor -r*y**2 - 1/2 + 31/4*y.
-(y - 2)*(15*y - 1)/4
Let j(g) be the third derivative of 0*g + 0 - 76*g**2 + 1/45*g**5 + 8/3*g**3 - 1/180*g**6 + 5/9*g**4. Factor j(t).
-2*(t - 6)*(t + 2)**2/3
Let y(h) = 2*h**3 - 3*h**2 + 2*h - 5. Let t = 67 + -65. Let z be y(t). Factor 2/3*i**z - 14/3*i**2 + 0*i + 0.
2*i**2*(i - 7)/3
Factor 202 + 158 - 16*r - 37*r**2 + 42*r**2 + 151*r.
5*(r + 3)*(r + 24)
Suppose 5*n = 4*t - 695, 5*n = -15*t + 14*t + 205. Factor -10*h**2 + 7 - t*h - 15*h**2 + 101 - 6*h**3 - 15*h**2 - 29*h**2.
-3*(h + 6)**2*(2*h - 1)
Suppose -o - l = -16, -4*o + 688*l - 34 = 685*l. Factor -2/11*b**3 + 0*b + 0 - 26/11*b**o.
-2*b**2*(b + 13)/11
Let o(q) = 5 + 5*q - 21*q - q**3 + 65*q**2 - 55*q**2 - 3. Let f be o(8). Factor 10*s**2 - 14*s**2 + f*s**4 - 10*s + 10*s**2 + 10*s**3 - 8.
2*(s - 1)*(s + 1)**2*(s + 4)
Let b be 46389/29127 + (-8)/584. Let 32/19 + b*c - 2/19*c**2 = 0. Calculate c.
-1, 16
Let i(s) be the second derivative of 841*s**5/30 - 319*s**4/3 + 160*s**3/3 - 32*s**2/3 + s - 738. Suppose i(u) = 0. Calculate u.
4/29, 2
Suppose 36 = 144*p - 138*p. Let g b