- 1)*(f + 1)/7
Suppose -17*m + 30 = -14*m. Suppose i - 18 = -3*l, -5*i + 4*l = -l + m. What is o in -1 - 42*o + 39*o + 7 - i*o**2 = 0?
-2, 1
Let t be ((-60)/(-16))/(9*35/126). Factor -t*h + 1 + 1/2*h**2.
(h - 2)*(h - 1)/2
Let f(v) = -7*v**3 - 8*v**2 - 3*v - 2. Let h be f(-1). Let j(c) be the second derivative of 0 + h*c**3 + 0*c**2 + 1/36*c**4 + 11*c. Factor j(x).
x**2/3
Let c(w) = w**2 + 60*w - 1596. Let n be c(20). Factor -16/7*l**n - 40/7*l**3 + 0 - 3/7*l + 23/7*l**2.
-l*(l + 3)*(4*l - 1)**2/7
Let j(b) be the first derivative of b**4/10 + 2*b**3/15 - b**2 + 6*b/5 + 115. Let j(g) = 0. What is g?
-3, 1
Let d(z) = -z - 8. Let k be d(-5). Let u be 184/56 - ((-6)/7)/k. Solve 2/3*f**4 + 4/3*f + 0 + 8/3*f**u + 10/3*f**2 = 0 for f.
-2, -1, 0
Let y(d) be the third derivative of d**8/84 - 2*d**7/21 - 17*d**6/30 + 25*d**5/3 - 92*d**4/3 + 160*d**3/3 + 5*d**2 - 13*d. Suppose y(c) = 0. Calculate c.
-5, 1, 4
Suppose -7*d - 1168 = -1203. Let p(r) be the third derivative of 0 + 0*r + 10*r**2 + 0*r**6 + 0*r**3 + 0*r**d + 0*r**4 + 1/945*r**7. Let p(a) = 0. Calculate a.
0
Let k(d) be the third derivative of d**9/393120 - d**8/131040 + 2*d**5/15 + 18*d**2. Let p(r) be the third derivative of k(r). Factor p(x).
2*x**2*(x - 1)/13
Suppose -173*a**3 - 168*a**4 + 49*a**3 + 374108*a**2 - 373932*a**2 - 48*a + 180*a**5 = 0. What is a?
-1, 0, 3/5, 2/3
Let p(t) be the first derivative of 3*t**4/34 + 32*t**3/51 + 5*t**2/17 - 135. Determine o so that p(o) = 0.
-5, -1/3, 0
Let s(z) be the third derivative of 0 + 1/560*z**7 - 1/160*z**6 + 0*z**3 + 1/32*z**4 + 0*z - 1/160*z**5 - 7*z**2. Factor s(n).
3*n*(n - 2)*(n - 1)*(n + 1)/8
Let q(u) be the first derivative of -u**4/32 - u**3/24 + 5*u**2/8 - u + 39. Factor q(c).
-(c - 2)*(c - 1)*(c + 4)/8
Let g(z) = -43*z - 2. Let n be g(-2). Let y = n - 29. Solve -y - 3*t**3 + 3*t**2 + 55 = 0.
0, 1
Let h = -58 - -143/2. Solve -h*n**2 - 36*n - 24 = 0.
-4/3
Let u(c) = c**3 - c**2 - 2*c + 8. Let m be u(0). Suppose -m*q + 2 = -14. Find g such that -281*g**4 + 637*g**3 + 92*g - 8 - 62*g**4 - 74*g**q - 304*g**2 = 0.
2/7, 1
Determine j so that 2*j**2 + 0 + 9/4*j - 1/4*j**3 = 0.
-1, 0, 9
Find u, given that -40*u - 600 + 40*u**3 + 2/3*u**4 + 1798/3*u**2 = 0.
-30, -1, 1
Factor 0*i**5 + 0*i**2 + 15*i**4 - 5*i**5 - 15*i**3 + 5*i**2 + 122*i - 122*i.
-5*i**2*(i - 1)**3
Let s(z) = -14*z**4 + 16*z**3 - 8*z**2 + 6*z + 6. Let b(q) = -2*q**4 + q**3 + q + 1. Let j(y) = -6*b(y) + s(y). What is w in j(w) = 0?
0, 1, 4
Suppose 0 = -2*h + 2*d - 40 + 10, -4*d = 2*h + 60. Let v be (-1)/(-3) - h/12. Factor -2*r**4 + r**4 - v*r**5 - 3*r**4 - 2*r**3.
-2*r**3*(r + 1)**2
Let y(m) be the third derivative of m**6/780 + 61*m**5/390 + 58*m**4/39 + 76*m**3/13 + 6*m**2 - 26*m. Factor y(d).
2*(d + 2)**2*(d + 57)/13
Suppose 0 = -5*h + y + 13 - 6, -2*y = -4*h + 2. Suppose -2/11*w**h - 4/11 + 6/11*w = 0. What is w?
1, 2
What is o in -9/4 + 3/4*o**2 - 3/2*o = 0?
-1, 3
Suppose 5*a + n - 12 = 0, -8*a = -4*a - 24*n - 84. Determine w so that 8/3*w**4 - 4*w**a + 0 - 8/3*w**2 + 0*w = 0.
-1/2, 0, 2
Let s = -7 + 9. Factor -31*z - 40 - z**2 - 2*z**s + z - 35.
-3*(z + 5)**2
Determine p, given that -8/3 - 66*p**2 + 27*p**3 + 76/3*p = 0.
2/9, 2
Let a(o) be the second derivative of 5/6*o**3 - 5*o + 0*o**4 + 1/1800*o**6 + 0 + 0*o**2 + 1/200*o**5. Let x(n) be the second derivative of a(n). Factor x(q).
q*(q + 3)/5
Let x(s) be the third derivative of s**7/210 - s**6/90 - 3*s**3/2 - 2*s**2. Let d(p) be the first derivative of x(p). Factor d(k).
4*k**2*(k - 1)
Let g(f) be the third derivative of -f**6/160 - 41*f**5/80 + 21*f**4/16 + 59*f**2. Factor g(l).
-3*l*(l - 1)*(l + 42)/4
Let a(u) = -74*u**3 + 105*u**2 + 165*u + 7. Let i(t) = -50*t**3 + 70*t**2 + 110*t + 5. Let m(o) = -5*a(o) + 7*i(o). Factor m(q).
5*q*(q + 1)*(4*q - 11)
Let s(k) be the third derivative of k**5/45 - 113*k**4/9 + 25538*k**3/9 + 3*k**2 + 16. Factor s(i).
4*(i - 113)**2/3
Factor -237*a + 262 - 2*a**2 + 0*a**2 + 0*a**2 + 385*a - 408*a.
-2*(a - 1)*(a + 131)
Suppose -537 = -3*c - 4*s, 3*c - 4*s - 157 = 380. Factor -179*n - n**5 + n**3 - 2*n**2 + c*n + 2*n**4.
-n**2*(n - 2)*(n - 1)*(n + 1)
Let k(z) = -z + 17*z**2 + 20 - z**3 - 9*z - z - 98. Let f be k(16). Factor 0 - 2/7*v**4 - 2/7*v**f + 0*v - 4/7*v**3.
-2*v**2*(v + 1)**2/7
Let k = -485/84 - -41/7. Let v(f) be the first derivative of 1 + 0*f - 1/8*f**2 + k*f**3. Suppose v(r) = 0. Calculate r.
0, 1
Solve 4/3 - 94/15*u**3 - 38/15*u**4 - 18/5*u**2 + 22/15*u = 0 for u.
-1, 10/19
Suppose -3*d - 6 = -6*d. Let n(m) = -10*m**d - 35 + 13 + 23 + 16*m. Let w(l) = -7*l**2 + 11*l + 1. Let g(i) = 5*n(i) - 7*w(i). Factor g(t).
-(t - 2)*(t - 1)
Let n(a) = -a**2 - a + 1. Let q = 8 + -2. Let z(y) = 8*y + 21*y**2 - 10*y**2 - 17*y**2 - y. Let g(p) = q*n(p) - 3*z(p). Find k such that g(k) = 0.
1/4, 2
Suppose 91*y**3 - 67*y**3 + 264*y + 3*y**5 - 88 - 309*y**2 + 4 - 39*y**4 + 141*y**3 = 0. Calculate y.
1, 2, 7
Let y(z) be the third derivative of -z**5/390 - 179*z**4/78 - 32041*z**3/39 - z**2 - 74*z. Factor y(s).
-2*(s + 179)**2/13
Let d = 1291/115 + -249/23. Suppose -8/5 - d*x**2 - 8/5*x = 0. Calculate x.
-2
Let a be (-51)/17 + 8/(1 + 0). Determine r so that 0*r**5 - 25*r**4 - 6*r**a + r**5 = 0.
-5, 0
Let j(q) be the first derivative of q**5/10 - q**4/2 - q**3 + 9*q**2 - 27*q/2 - 71. Factor j(a).
(a - 3)**2*(a - 1)*(a + 3)/2
Let b(p) be the first derivative of 1 - 3/4*p**4 - p**3 + 0*p**2 - 6*p. Let g(u) be the first derivative of b(u). Let g(o) = 0. What is o?
-2/3, 0
Let m(h) = 10*h + 142. Let n be m(-14). Find p, given that 0 - 1/4*p + 1/4*p**n = 0.
0, 1
Suppose -5*c + 33 = 4*g - 195, 2*c = 4*g + 108. Let w = c - 236/5. Find j, given that -w*j - 2/5 + 0*j**2 + 2/5*j**4 + 4/5*j**3 = 0.
-1, 1
Let z(p) = -p + 7. Let d be z(3). Let g(c) = -4 + 4*c**2 + 19*c - 7*c - 2 - 2. Let m(a) = -4*a**2 - 13*a + 7. Let x(b) = d*m(b) + 5*g(b). Factor x(i).
4*(i - 1)*(i + 3)
Let a be (0 + -2)/(599 - -8). Let h = 4259/3035 + a. Suppose 0 + 8/5*k**2 - 4/5*k + h*k**3 - k**4 = 0. What is k?
-1, 0, 2/5, 2
Suppose -3*y - 9 = -15. Factor -n**y + 86*n**3 - 81*n**3 - 4*n**2.
5*n**2*(n - 1)
Let u(l) = -l**4 - 2*l**3 - 8*l - 4. Let i(p) = -p**4 - 3*p**3 - p**2 - 9*p - 4. Let y(g) = 5*i(g) - 6*u(g). Let y(v) = 0. What is v?
-1, 1, 4
Factor 18 - 50*x - 36 + x**2 + 33*x.
(x - 18)*(x + 1)
Suppose j + 111 = 2*o + 6*j, -78 = -o + 5*j. Let q = o - 438/7. Let q*i + 2/7 + 1/7*i**2 = 0. What is i?
-2, -1
Let z(m) be the second derivative of m**4/120 + m**3/10 + m**2/4 - 109*m. Factor z(s).
(s + 1)*(s + 5)/10
Let h(u) be the first derivative of 8281*u**3/9 + 182*u**2/3 + 4*u/3 + 398. Determine b, given that h(b) = 0.
-2/91
Let w = -9 - -10. Let m = -14 + 15. Let n(c) = -c**2. Let y(r) = 3*r**2 - 4*r. Let t(z) = m*n(z) + w*y(z). Let t(s) = 0. What is s?
0, 2
Let y(s) = s**2 - 11*s + 12. Let w be (-4)/(-18) + 440/45. Let l be y(w). Suppose 1 + 3 - l*b**2 - 6 - 4*b = 0. Calculate b.
-1
Let d(y) be the second derivative of -y**4/42 - 61*y**3/21 - 41*y. Factor d(o).
-2*o*(o + 61)/7
Let s(a) be the first derivative of -a**3/3 - a**2/2 + 2*a - 38. Factor s(b).
-(b - 1)*(b + 2)
Let y(x) = -x**3 - 11*x**2 - 2*x - 17. Let s be y(-11). Suppose 0*n - s*n - 2*n = 0. Determine k, given that n + k - 1/2*k**2 = 0.
0, 2
Let h(l) = -l**3 + 9*l**2 + l - 13. Let a be h(9). Let q be 22/(-4)*a/44. Suppose -1/2*y + y**3 + 1/2*y**4 - 1/2*y**5 + q - y**2 = 0. What is y?
-1, 1
Let r(n) = -n**2 - 9*n - 8. Let f(g) = g**2 + 10*g + 9. Let s = -1 - -6. Let d(w) = s*f(w) + 6*r(w). Determine v, given that d(v) = 0.
-3, -1
Let i(c) = -200*c - 400. Let r be i(-2). Let -1/4*l**3 + 0 + r*l**2 + 1/4*l**5 + 0*l + 0*l**4 = 0. What is l?
-1, 0, 1
Let s(l) = l + 22. Let o be s(-10). Factor 5*c - 4*c**2 + 2*c + o + c.
-4*(c - 3)*(c + 1)
Suppose -1/10*w**3 + 1/10*w**2 + 1/5*w + 0 = 0. What is w?
-1, 0, 2
Let i(g) be the third derivative of 3*g**5/100 - 239*g**4/40 - 8*g**3 - 525*g**2. Factor i(y).
3*(y - 80)*(3*y + 1)/5
Let f(g) = 0 + 5*g**2 - 1 - 4*g**2. Let k(n) = n - 9. Let r be k(8). Let c(o) = 14*o**2 - 6*o - 5. Let x(l) = r*c(l) + 6*f(l). Factor x(q).
-(2*q - 1)*(4*q - 1)
Suppose -1/4*g + 1/2*g**3 - 1/4*g**5 + 0*g**2 + 0*g**4 + 0 = 0. Calculate g.
-1, 0, 1
Let f(c) be the first derivative of 69/5*c**5 - 9/4*c**4 + 0*c**2 + 0*c - 2*c**3 + 6*c**6 + 24. Suppose f(y) = 0. Cal