/10 + 913*t**2. What is r in y(r) = 0?
0, 9
Let b(i) be the third derivative of i**7/350 + i**6/40 - i**5/100 - i**4/8 + 72*i**2 + 2. Factor b(r).
3*r*(r - 1)*(r + 1)*(r + 5)/5
Let v(q) be the first derivative of 34 + 1/6*q**6 + 0*q + 0*q**2 - 2/5*q**5 + 0*q**3 + 1/4*q**4. What is z in v(z) = 0?
0, 1
Suppose -5*h = 0, 0*m + 10 = -5*m + 2*h. Let g be (3/((-63)/30))/m. Factor -2/7*v - v**2 - g*v**4 - 1/7*v**5 - 9/7*v**3 + 0.
-v*(v + 1)**3*(v + 2)/7
Let l = -42 + 44. Solve -53*v**l - 4*v**2 + 33*v**3 - 36*v**3 - 240*v + 300 = 0.
-10, 1
Suppose j + 5*n = -j - 2, -j = -n - 6. Let c(t) be the second derivative of -3*t + 0*t**2 + 1/9*t**3 + 0 - 1/9*t**j + 1/30*t**5. Suppose c(q) = 0. What is q?
0, 1
Let s be -21*9/135 + 2. Factor -6/5*c**3 + 0*c + 0*c**2 + 0 + s*c**5 - 3/5*c**4.
3*c**3*(c - 2)*(c + 1)/5
Let x = 48 - 51. Let a be (-2)/5*(8/x - -2). Factor -2/15*r**2 - 2/15*r**4 + 0*r + 0 - a*r**3.
-2*r**2*(r + 1)**2/15
Let v(y) = -y**2 + 10*y + 14. Let h be v(10). Factor 1 + 8*n**3 - h*n - 7 + 10*n**2 + 2.
2*(n - 1)*(n + 2)*(4*n + 1)
Suppose 9*n = 24*n - 19*n. Factor -1/2*a**3 - 1/2*a**2 + 0*a + n.
-a**2*(a + 1)/2
Suppose 4*i - 93 + 33 = 0. Factor 24 + 4*l**3 + 51*l**2 - 84*l + i*l**2 - 19*l**3.
-3*(l - 2)**2*(5*l - 2)
Suppose 77 - 237 = -40*j. Let o(s) be the first derivative of -s**5 - 1/6*s**6 - 9 + 0*s - 7/3*s**3 - s**2 - 9/4*s**j. Factor o(u).
-u*(u + 1)**3*(u + 2)
Factor 483*y - 60 + 35*y**3 - 224*y + 235*y**2 - 119*y.
5*(y + 1)*(y + 6)*(7*y - 2)
Let m(h) be the first derivative of 0*h**2 + h**5 - 5/3*h**3 - 5/4*h**4 + 5/6*h**6 + 0*h - 4. Suppose m(g) = 0. Calculate g.
-1, 0, 1
Determine x, given that -12*x - 92/3*x**2 - 1/3*x**5 + 0 - 22/3*x**4 - 77/3*x**3 = 0.
-18, -2, -1, 0
Let h(m) = -11*m**4 - 7*m**3 + 12*m**2 + 2*m. Let a(q) = -31*q**4 - 22*q**3 + 37*q**2 + 7*q. Let z(t) = -2*a(t) + 7*h(t). Suppose z(s) = 0. Calculate s.
-1, 0, 2/3
Let o(a) be the third derivative of -a**9/60480 - a**8/20160 + a**7/2520 + a**5/10 + 15*a**2. Let l(k) be the third derivative of o(k). What is r in l(r) = 0?
-2, 0, 1
Factor u**4 - 8691*u**2 + 8731*u**2 + 5*u + 11*u + 36*u**3 + 13*u**4 + 2*u**5.
2*u*(u + 1)*(u + 2)**3
Let b = -220 - -224. Let n(f) be the first derivative of -2 + 0*f**3 + 0*f + 0*f**b - 2/5*f**5 + 0*f**2 + 1/3*f**6. Find u, given that n(u) = 0.
0, 1
Let m(l) be the third derivative of 1/75*l**5 + 4*l**2 + 1/300*l**6 - 1/20*l**4 + 0 + 0*l + 0*l**3. Let m(b) = 0. What is b?
-3, 0, 1
Let o(s) be the first derivative of 2*s**6/9 - 4*s**5/5 - 13*s**4/3 + 20*s**3/3 + 792. Find p such that o(p) = 0.
-3, 0, 1, 5
Let b(d) = 3*d**4 + 14*d**3 + 4*d**2 - 192*d + 254. Let s(o) = 13*o**4 + 57*o**3 + 16*o**2 - 768*o + 1015. Let z(h) = -18*b(h) + 4*s(h). Factor z(t).
-2*(t - 2)**2*(t + 8)**2
Let r(v) = 4*v**3 + 63*v**2 + 1. Let u(n) = n**3 + 1. Let m(s) = r(s) - u(s). Factor m(l).
3*l**2*(l + 21)
Factor -38/3*u + 4/3*u**2 + 6.
2*(u - 9)*(2*u - 1)/3
Let m(f) be the first derivative of f**6/8 + 33*f**5/20 + 15*f**4/8 - 215. Suppose m(p) = 0. What is p?
-10, -1, 0
Let n(d) = d**2 + 12*d + 3. Let p be n(-12). Factor -27*b**2 + 2*b + 5*b**p + 3*b + 27*b**2 - 10*b**2.
5*b*(b - 1)**2
Suppose -50 = 8*c - 13*c. Let l be 2/(c/4 - 2). Factor l*m + 0*m**2 + 8 - 6*m**2 + 6*m**2 - 4*m**2.
-4*(m - 2)*(m + 1)
Suppose -3*l - 2*g + 15 = 0, -5*l = g - 5*g - 3. Factor -i**l - 31*i + 3*i**4 + 31*i - i**3.
i**3*(3*i - 2)
Let b = 3/439 + -11/65850. Let j(v) be the third derivative of 0 + b*v**5 + 0*v - 1/60*v**4 + 0*v**3 + 13*v**2. Find p such that j(p) = 0.
0, 1
Let i = -17 + 19. Let a(t) be the first derivative of 5*t**2 + 4 + 2*t**2 + t**3 - 13*t**i + 9*t. Find w, given that a(w) = 0.
1, 3
Let f(c) = -c**3 + 3*c**2 - 6*c + 3. Let o be f(3). Let p be (8/6)/((-10)/o). Factor 9/2*w**p + w + 7/2*w**3 + 0.
w*(w + 1)*(7*w + 2)/2
Suppose -r - 4*r + 15 = 0. Find u such that 5*u**2 + 18*u**5 + 0*u**2 + 22*u**3 + 2*u**5 + 40*u**4 + r*u**3 = 0.
-1, -1/2, 0
Let b = 407 + -237. Let v = 681/4 - b. Factor 1/2*c**4 + 0 + 0*c + v*c**3 + 0*c**2 + 1/4*c**5.
c**3*(c + 1)**2/4
Suppose 0 = -5*q - 0*q. Suppose 4*t - 3*l + 10 = 3*t, q = -4*t - 3*l + 20. Find x such that 3*x**t + 0*x**2 + 5*x + 2*x + 5*x = 0.
-4, 0
Let k be (-56)/21 + 3/1. Let h be (30/(-36))/((-2)/4). Determine i, given that -h*i**2 + k*i**3 + i + 0 + 1/3*i**4 = 0.
-3, 0, 1
Let b be -83 + 12*(8/(-12))/2. Let s = -259/3 - b. Suppose 10/3*p**3 - 2/3 + s*p**2 - 10/3*p = 0. What is p?
-1, -1/5, 1
Suppose 6*k - 10 = k. Suppose w**k + 2*w**5 + 17*w**2 + 13*w**3 + 14*w**4 + 17*w**3 = 0. What is w?
-3, -1, 0
Suppose -2*j + 0 = -8. What is a in 26*a**4 + 6*a - 9*a**j + 9*a**5 - 15*a**3 + 3*a**2 - 20*a**4 = 0?
-1, -2/3, 0, 1
Let k(t) = t**2 + 6*t - 5. Let u be k(-8). Suppose -u*n = -3*n - 32. Factor 1/2*m**2 + 0 + 0*m + 3/4*m**3 + 1/4*m**n.
m**2*(m + 1)*(m + 2)/4
Suppose 10*c = 343 - 323. Suppose -l**4 - 1/2*l + 0 + 1/2*l**5 + l**c + 0*l**3 = 0. What is l?
-1, 0, 1
Factor -2/5*n**3 - 4 + 48/5*n - 3*n**2.
-(n - 2)*(n + 10)*(2*n - 1)/5
Let s(t) be the second derivative of -3*t**6/55 + 276*t**5/55 - 4139*t**4/33 - 5704*t**3/33 - 961*t**2/11 + 363*t. Determine c so that s(c) = 0.
-1/3, 31
Let z(b) be the first derivative of -b**6/720 + 14*b**3/3 - 18. Let r(m) be the third derivative of z(m). Factor r(h).
-h**2/2
Let l(z) be the first derivative of 2*z**4 - 11*z**3/3 + 3*z**2/2 + 13. Factor l(r).
r*(r - 1)*(8*r - 3)
Let i = -1682 - -1682. Let n(k) be the first derivative of k**4 + i*k**2 + 7 + 0*k**3 - 8/5*k**5 + 0*k. Suppose n(d) = 0. Calculate d.
0, 1/2
Let l(d) = -d**3 + 29*d**2. Let c(o) = 2*o**3 - 53*o**2. Let p(n) = -6*c(n) - 11*l(n). Factor p(x).
-x**2*(x + 1)
Let h(y) be the third derivative of -y**8/588 - 2*y**7/735 + y**6/70 + y**5/105 - y**4/21 - 32*y**2. What is k in h(k) = 0?
-2, -1, 0, 1
Let m(t) = -365*t + 12. Let f be -8 - -1*(0 - -1). Let d be m(f). Factor 434*w**2 + 1018*w**2 + d*w**3 + 264*w + 95*w**3 + 16.
2*(11*w + 2)**3
Factor -1/5*g**2 - 8/5*g + 4.
-(g - 2)*(g + 10)/5
Let q(b) be the first derivative of -4*b**5/5 + 46*b**4 - 960*b**3 + 8100*b**2 - 13500*b - 156. Factor q(l).
-4*(l - 15)**3*(l - 1)
Find r, given that -759/5*r + 768/5*r**2 + 189/5 - 12/5*r**3 = 0.
1/2, 63
Factor -40/3*x**3 + 2*x**4 + 32/3 + 32*x**2 - 32*x.
2*(x - 2)**3*(3*x - 2)/3
Factor -3*k**3 + 3*k**3 + 2*k**3 + 2*k**3 + 68*k - 40*k**2 - 32.
4*(k - 8)*(k - 1)**2
Find a such that -232*a**3 + 76*a**2 + 452*a**3 - 32*a**4 - 24*a - 240*a**3 = 0.
-2, 0, 3/8, 1
Suppose -2 - 2/17*r**2 - 36/17*r = 0. What is r?
-17, -1
Suppose 4*v - 5*z + 120 = 0, 2*z + 34 = -2*v - 2*z. Let r = v - -29. Solve -15*a**r - 12*a**3 + 29*a**2 - 8*a**2 - 6 + 3*a**3 + 0 + 9*a = 0 for a.
-1, 2/5, 1
Let c = 23 + -4. Suppose 12*m**3 + 6*m**2 - 4*m**4 - c*m**2 + 5*m**2 = 0. What is m?
0, 1, 2
Let j be (1*(-1)/(-3))/1. Suppose 0 = -2*d + 92*g - 93*g - 1, -3*g = 15. Solve -1/6*y**d + j*y + 1/2 = 0.
-1, 3
Factor -1/2*x**2 + 21 - 1/2*x.
-(x - 6)*(x + 7)/2
Solve 56/13*j**4 - 112/13 + 10/13*j**5 + 82/13*j**3 - 200/13*j - 4*j**2 = 0.
-2, -1, 7/5
Let o = 34 + 116. Factor 22*u + o*u**2 + 44*u - 38 - 147*u**2 + 401.
3*(u + 11)**2
Let h(m) be the first derivative of 5*m**6/2 + 32*m**5 + 215*m**4/4 - 30*m**3 - 34. Determine p, given that h(p) = 0.
-9, -2, 0, 1/3
Let y(b) = -9*b**3 - 9*b**2 - 33*b + 33. Let f = 69 - 36. Let o(j) = -j**3 - j**2 - 4*j + 4. Let g(a) = f*o(a) - 4*y(a). Factor g(s).
3*s**2*(s + 1)
Let a(y) be the third derivative of y**8/616 + 16*y**7/1155 - y**6/55 - 2*y**2 - 20*y. Determine f so that a(f) = 0.
-6, 0, 2/3
Suppose -3751 + 3751 = -14*r. Find b such that 0 - 5/3*b**4 + 5*b**3 + r*b + 20/3*b**2 = 0.
-1, 0, 4
Let g = -1648 + 6607/4. Factor -g*h**2 + 6*h - 3 + 3/4*h**3.
3*(h - 2)**2*(h - 1)/4
Let o be (-3)/10 + 45/150. Let x(d) be the third derivative of 0*d**4 + 1/70*d**7 + o - d**2 - 1/20*d**6 + 0*d**5 + 0*d**3 + 0*d. Factor x(n).
3*n**3*(n - 2)
Let 4/11*t - 2/11*t**2 + 6/11 = 0. What is t?
-1, 3
Let x be (0 + (-2)/5)/(2/(-10)). Let -3*y + 3*y + y**3 - 4 - 3*y**2 + 8*y - 2*y**x = 0. Calculate y.
1, 2
Let d be (10 + (-1794)/180)*3. Factor -2/5*g**3 - 1/5*g + 0 + 1/2*g**2 + d*g**4.
g*(g - 2)*(g - 1)**2/10
Suppose 7*n + 154 - 763 = 0. Let y = n + -83. Factor 0 + 0*m**2 - 1/3*m**3 - 1/3*m**5 + 2/3*m**y + 0*m.
-m**3*(m - 1)**2/3
Let m(f) be the third derivative of f**5/60 + f**4/8 - 