t) = 0.
-1/3, 0, 1, 3
Suppose 0 = 4*f + 4*q + 84, 3*q = -2*f + 5*q - 42. Let b be 21/f + 1*3. Factor 4/9*y**5 - 4/9*y**4 + 0*y**b - 8/9*y**3 + 0 + 0*y.
4*y**3*(y - 2)*(y + 1)/9
Let b be (22/(-4))/((-6035)/2840). Determine r, given that 16/17 - 46/17*r**2 + 14/17*r**3 - b*r = 0.
-1, 2/7, 4
Let s = -611 + 614. Factor -16*b + 7*b**3 + 9*b**2 + 13*b**2 - 8*b - 3*b**s - 72 - 2*b**4 + 0*b.
-2*(b - 3)**2*(b + 2)**2
Let r(l) = 15*l**2 - 33*l - 6 + 13*l - 3 + 14*l. Let t(q) = 2*q**2 - q - 1. Let j(n) = r(n) - 6*t(n). Let j(m) = 0. Calculate m.
-1, 1
Let g(c) be the second derivative of c**4/4 - 102*c**3 - 4431*c**2/2 - 12*c + 44. Let g(o) = 0. Calculate o.
-7, 211
Factor -2*i**4 + 48*i**3 - 78800*i + 157938*i + 216*i**2 - 78914*i.
-2*i*(i - 28)*(i + 2)**2
Let n(w) be the first derivative of -13*w**4/8 + 11*w**3/3 - 9*w**2/4 + 2115. Suppose n(g) = 0. Calculate g.
0, 9/13, 1
Let p(c) be the first derivative of 9*c**2/2 - 33*c - 21. Let a be p(4). Factor a*y - 9*y**2 + 3*y**5 - 6*y**3 + 9*y**2.
3*y*(y - 1)**2*(y + 1)**2
Let m = -700 - -773. Suppose m*l = 48*l + 50. Determine w so that -3/4*w**l + 0 + 3/4*w = 0.
0, 1
Let y(w) be the third derivative of -w**8/50400 - w**7/1575 - w**6/150 + 67*w**5/60 - 28*w**2. Let c(z) be the third derivative of y(z). Factor c(b).
-2*(b + 2)*(b + 6)/5
Let u(h) = 21*h**2 - 13332*h - 14865234. Let i(k) = -38*k**2 + 26668*k + 29730467. Let q(x) = -6*i(x) - 11*u(x). Find a, given that q(a) = 0.
-2226
Let i(q) be the first derivative of -1/8*q**3 + 21/16*q**2 - 9/4*q - 12. Find y, given that i(y) = 0.
1, 6
Let v be (0 + 24/18 + 6/(-72))*20. Let o(t) be the first derivative of -12*t**2 - 96*t - v - 1/2*t**3. Factor o(w).
-3*(w + 8)**2/2
Let j be (-16)/5*((-9)/(-2) + -2). Let p be (j + (-129)/(-15))/1. Find o, given that 6/5*o**2 + p*o - 3/5*o**4 - 6/5*o**3 - 3/5 + 3/5*o**5 = 0.
-1, 1
Let b be 5/10 + 1477/(-82290) + (-2)/(-15). Suppose b*h**3 - 2*h**2 + 24/13 - 8/13*h + 2/13*h**4 = 0. What is h?
-6, -1, 1, 2
Factor -144/7 + 12/7*o + 2/7*o**2.
2*(o - 6)*(o + 12)/7
Solve 6352/15*m - 2/15*m**2 - 5043488/15 = 0.
1588
Let v be (89/(-12))/(4*(-2)/16). Let y = -40/3 + v. Solve -y*f**2 + 3/4*f**3 - 9/4*f + 0 = 0 for f.
-1, 0, 3
Suppose -26*g - 2797 = -2901. Determine t so that -2/5*t**g + 2/5*t**2 + 0 + 0*t**3 + 0*t = 0.
-1, 0, 1
Let m = -2528 - -2532. Let o(r) be the third derivative of 3/56*r**m + 0*r - 1/140*r**5 + 0*r**3 + 8*r**2 + 0. Factor o(z).
-3*z*(z - 3)/7
Let k = 93 - 79. Suppose 3*n - 2*b - 16 = 0, -3*n - b = -2*b - k. Factor -4*p**n + 4*p**2 + 0*p**5 - 191*p + 2*p**5 + 189*p.
2*p*(p - 1)**3*(p + 1)
Let u(t) = -t**3 + 868*t**2 - 193566*t + 383703. Let o(h) = 2*h**2 - 6*h - 3. Let p(f) = 5*o(f) + u(f). What is z in p(z) = 0?
2, 438
Let a(x) be the second derivative of x**4/18 + 113*x**3/9 + 5993*x. Factor a(i).
2*i*(i + 113)/3
Let n(t) be the third derivative of -t**6/240 - 19*t**5/40 - 133*t**4/24 - 26*t**3 + t**2 + 1935*t. Let n(g) = 0. Calculate g.
-52, -3, -2
Let c(g) be the third derivative of -g**5/100 - 89*g**4/40 - 87*g**3/5 - 1792*g**2 + 2*g. Solve c(k) = 0.
-87, -2
Let l = 2691 + -489. Let v = l - 2199. Let 0 + 1/3*a**4 + a**v + 0*a + 2/3*a**2 = 0. Calculate a.
-2, -1, 0
Let p(k) be the second derivative of -1/15*k**6 - 1/5*k**5 + 2 + 0*k**3 + 5*k + 0*k**2 + 4/3*k**4. Factor p(n).
-2*n**2*(n - 2)*(n + 4)
Let y(n) = -n**3 - 16*n**2 + 18*n + 19. Let f be 2*-1 - -4*(-90)/24. Let z be y(f). Let -1/7 - 4/7*a**z + 5/7*a = 0. Calculate a.
1/4, 1
Let t = -40747 - -40749. Let k(f) be the second derivative of f**5 + 0 - 24*f - 1/3*f**4 + t*f**2 - 10/3*f**3. Factor k(p).
4*(p - 1)*(p + 1)*(5*p - 1)
Let t(c) be the first derivative of -3*c**4/20 - 23*c**3/5 - 84*c**2/5 + 588*c + 1127. Let t(y) = 0. Calculate y.
-14, 5
Let u(w) = -20*w**2 - 84*w - 8. Let x(q) = -13*q**2 - 56*q - 5. Let k(z) = -z**2 + 14*z - 57. Let l be k(7). Let s(f) = l*x(f) + 5*u(f). Factor s(i).
4*i*(i + 7)
Let d(p) = 5*p**3 - 7*p**2 + 17*p - 3. Let l(q) = -4*q**3 + 8*q**2 - 16*q + 4. Let t = -133 + 129. Let o(h) = t*d(h) - 6*l(h). Solve o(c) = 0 for c.
1, 3
Let x(n) = n**4 - 4*n**3 + n - 1. Let m(d) = 44*d**5 - 496*d**4 + 1160*d**3 + 1392*d**2 - 292*d + 4. Let h(a) = m(a) + 4*x(a). Solve h(w) = 0.
-1, 0, 2/11, 6
Suppose -240 = 4*d - 4*f, -2*f - 359 = 5*d - 59. Let r = -56 - d. Find s such that s**2 + 8 - s**3 - 4 - r = 0.
0, 1
Let a = -4 + 7. Let r(q) = -q**3 + q**2 + 2*q + 6. Let g = -1840 + 1847. Let b(t) = 2*t**3 - 2*t**2 - 3*t - 13. Let i(j) = a*b(j) + g*r(j). Factor i(f).
-(f - 3)*(f + 1)**2
Let f(v) = -v**3 - 9*v**2 + 26*v + 49. Let t be f(-11). Factor 11 + 10*i - t*i**2 + 3*i**2 + 6 - 34 + 11 - 2*i**3.
-2*(i - 1)**2*(i + 3)
Factor -63/8 - 111/8*a - 15/4*a**2.
-3*(a + 3)*(10*a + 7)/8
Suppose -17 = -4*k - 1. Suppose -f - k*l - 8 + 1 = 0, -3*l = 12. Suppose 24*p - p**2 - 30*p**3 - p**2 + 6*p**3 + 12 - p**2 - f*p**4 = 0. What is p?
-2, -1, -2/3, 1
Let n(b) = b**2 - b + 1. Let r(h) = 2*h + 5. Let g = 23 + -24. Let j(m) = g*r(m) + n(m). Factor j(k).
(k - 4)*(k + 1)
Let b(h) = 793*h - 4755. Let a be b(6). Let q(j) be the first derivative of 9/2*j**2 - 18 - 54/7*j + 3/28*j**4 - 8/7*j**a. Let q(x) = 0. What is x?
2, 3
Suppose 15*s = 39*s + 48. Let q be (1 - 21/(-35))*(-3)/s. Factor 8/5 + 4*m + q*m**2.
4*(m + 1)*(3*m + 2)/5
Let q = -62 + 66. Let r be (-189)/(-12) + 1/q. Solve -8*v**4 + 2234*v**3 - 4*v**4 - r*v**2 + 0*v**2 - 2274*v**3 + 32*v = 0 for v.
-2, 0, 2/3
Suppose 598/9*i**2 + 0 + 2/9*i**4 + 110/9*i**3 + 490/9*i = 0. Calculate i.
-49, -5, -1, 0
Suppose 4*c - 9 - 3 = -7*s - s, 0 = -17*s + 15*s. What is l in 9/2*l**2 - 15/2*l + 7/2 - 1/2*l**c = 0?
1, 7
Find j such that -3/4*j**2 + 0 + 105/2*j = 0.
0, 70
Suppose 38*y - 588 = 24*y. Let -17*b + 3*b**4 - 10*b**2 + 57*b - y*b**3 - 18*b**2 - 9*b**4 - 10*b**4 - 2*b**5 + 48 = 0. What is b?
-3, -2, 1
Suppose -500*z + 505*z + 8*q = 312, -q = -5*z + 321. Factor -1/2*h**3 - 16*h + 7*h**2 - z.
-(h - 8)**2*(h + 2)/2
Let a(n) be the second derivative of -n**5/5 + 56*n**4/3 - 70*n**3 - 324*n**2 + 2721*n. What is i in a(i) = 0?
-1, 3, 54
Let -109*w**2 + 110*w - 30*w**5 - 11245*w**3 + 335*w**4 + 11215*w**3 - 176*w**2 = 0. What is w?
-1, 0, 1/2, 2/3, 11
Let z = -10813 - -10815. Let b(a) be the second derivative of 0 - 19*a - 1/4*a**z - 1/12*a**3 + 1/40*a**5 + 1/24*a**4. Let b(f) = 0. Calculate f.
-1, 1
Let r = 167 - 165. Factor -2*k**r - 4*k**2 - 5808 + 3*k**2 - 264*k.
-3*(k + 44)**2
Let j(l) be the third derivative of -29*l**2 - 4/21*l**7 - 5/112*l**8 + 5/24*l**4 + 0*l - 1/4*l**6 + 0*l**5 + 0*l**3 + 0. Factor j(h).
-5*h*(h + 1)**3*(3*h - 1)
Let i = 242 - 225. Suppose 2*m - 4*r - 18 = 0, i*r = -m + 15*r - 3. What is x in -5/4*x**m + 33/4*x - 9/2*x**2 - 5/2 = 0?
-5, 2/5, 1
Factor -297/2*n**2 - 1/4*n**3 - 29403*n - 1940598.
-(n + 198)**3/4
Let t = 216/2983 - -18181992/32813. Solve -6/11*n**5 - 7968/11*n - 294/11*n**4 - 192*n**3 - t*n**2 - 3936/11 = 0.
-41, -2
Let m be (-155)/(-31) - ((-247935)/(-21))/5. Let y = m - -2358. Factor 0 + 2/7*k**5 + 26/7*k**3 + 8/7*k + 24/7*k**2 + y*k**4.
2*k*(k + 1)**2*(k + 2)**2/7
Let s(p) be the third derivative of 0 + 1/150*p**5 + 100*p - 5/6*p**4 + p**2 + 125/3*p**3. Determine x, given that s(x) = 0.
25
Let l(k) be the third derivative of 0 + 17/48*k**4 - 16*k**2 + 2*k + 1/8*k**5 + 1/6*k**3. Factor l(r).
(r + 1)*(15*r + 2)/2
Let c(a) be the second derivative of -2 + 4/15*a**3 + 1/100*a**5 - 2/5*a**2 + 8*a - 1/12*a**4. Suppose c(b) = 0. Calculate b.
1, 2
Let 5/4*j**3 + 5/4*j**2 - 5/4*j**4 + 1/4*j**5 + 0 - 3/2*j = 0. Calculate j.
-1, 0, 1, 2, 3
Let x(l) = -3*l - 9. Let u(a) = -2*a**2 + 7*a - 4. Let s be u(4). Let c be x(s). Factor -p**4 + p**5 + c*p + p**2 - p**3 - 15*p.
p**2*(p - 1)**2*(p + 1)
Let s(t) be the first derivative of -27/5*t**2 + 0*t - 1/5*t**3 + 3. Factor s(i).
-3*i*(i + 18)/5
Let c(h) be the first derivative of -h**3/3 - 5*h**2/2 - 4*h + 171. Let d(g) = g + 4. Let s(j) = -4*c(j) - 3*d(j). What is f in s(f) = 0?
-4, -1/4
Let x(g) be the second derivative of -g**4/12 + 6*g**3 - 99*g**2/2 + g + 7. Find m, given that x(m) = 0.
3, 33
Let j(k) be the third derivative of k**8/1176 - 2*k**7/735 - k**6/20 - 3*k**5/35 + 537*k**2 + 2. Solve j(q) = 0.
-3, -1, 0, 6
Suppose -2/5*f**4 + 11448/5*f + 0 - 3888/5*f**2 + 342/5*f**3 = 0. What is f?
0, 6, 159
Let r = -143 - -145. Factor 2*y**3 - 56*