ctor 36/7 + 142/7*t + 136/7*t**2 - 8/7*t**3.
-2*(t - 18)*(2*t + 1)**2/7
Let g(l) be the second derivative of l**4/12 - 11*l**3/3 + 21*l**2/2 - 134*l. Factor g(z).
(z - 21)*(z - 1)
Let i = -76 + 79. Let q = i + 0. Factor 1/2*d + 0*d**2 - 1/2*d**q + 0.
-d*(d - 1)*(d + 1)/2
Factor 64/5*z - 16*z**2 + 112/15*z**3 - 6/5*z**4 - 32/15.
-2*(z - 2)**3*(9*z - 2)/15
Suppose -2*k - 75 = 3*k. Let m = -11 - k. Suppose 3*i**2 + m*i - 6*i**2 + 2*i = 0. What is i?
0, 2
Suppose 2*d - 2 = d. Let q be (-1386)/(-1911) + d/(-13). Suppose 4/7 - 8/7*r + q*r**2 = 0. What is r?
1
Let i be (41/39 + -1)*3. Let a(x) = -x**2 - 3*x + 18. Let u be a(3). Find n, given that u - i*n**2 + 4/13*n = 0.
0, 2
Suppose 3029*f**3 - f + 12*f**2 - 3032*f**3 - 11*f = 0. What is f?
0, 2
Let n(p) be the third derivative of p**8/112 - 3*p**7/70 + p**6/40 + 3*p**5/20 - p**4/4 + 2*p**2 - 9*p. Let n(i) = 0. Calculate i.
-1, 0, 1, 2
Let q(j) be the second derivative of j**5/140 - j**4/12 - 20*j**3/21 - 22*j**2/7 - 75*j. Factor q(u).
(u - 11)*(u + 2)**2/7
Let o be ((-9)/16)/(423/(-36) - -11). Factor 3/4*y**4 + 0*y + 3/4*y**5 + 0 - 3/4*y**3 - o*y**2.
3*y**2*(y - 1)*(y + 1)**2/4
Let b(m) be the second derivative of 1 + 3/20*m**5 + 10*m + 1/12*m**4 - 2*m**2 - 2*m**3. Let b(x) = 0. Calculate x.
-2, -1/3, 2
Factor -3*n + 12*n + 3*n**5 - 545*n**3 + 6*n**2 + 533*n**3 + 1 - 7.
3*(n - 1)**3*(n + 1)*(n + 2)
Let -30258/7 + 492/7*l - 2/7*l**2 = 0. Calculate l.
123
Let d(r) = r**2 - 11*r + 19. Let v be d(9). Suppose 0 = -4*w + 17 - v, -3*y + 3*w = 6. Find i, given that 15/4*i - 1/2 - 27/4*i**y = 0.
2/9, 1/3
Let s(n) be the second derivative of 1/3*n**4 - 22/3*n**3 + 0 + 18*n + 0*n**2. Factor s(d).
4*d*(d - 11)
Let r be (-9)/3 - ((-276)/24 + 7). Factor 27/8*w**2 + 9/2*w + r.
3*(3*w + 2)**2/8
Let h be (25/(-20))/(14/8 - 2). Let y be 2 + h/65 + -1. Factor 4/13*w - y*w**2 + 8/13*w**3 + 0 + 8/13*w**4.
2*w*(w + 2)*(2*w - 1)**2/13
Suppose 2*p + 2*x + 4 = 0, 95*p - 5*x - 10 = 91*p. Find o, given that 0 + 0*o + p*o**2 + 2/9*o**3 = 0.
0
Let -92/3*p**2 - 4/3*p**4 + 0 + 0*p - 32*p**3 = 0. What is p?
-23, -1, 0
Let d(n) = n**3 + 1. Let x be d(-1). Suppose i = -3*b + 11, -2*b + 5*i + 42 - 12 = x. Suppose -b*y**2 + 14*y**2 + 6 - 6*y**2 - 6*y + 15*y = 0. Calculate y.
-2, -1
Let j(t) be the second derivative of -5/36*t**4 + 0 + 5*t - 1/9*t**3 + 1/18*t**6 + 0*t**2 + 1/30*t**5. Find k, given that j(k) = 0.
-1, -2/5, 0, 1
Determine r so that -3*r**5 + 17*r**5 - 11*r**4 - 10*r**5 + 10*r - 5*r**5 + 11*r**2 - 9*r**3 = 0.
-10, -1, 0, 1
Let l = 6175 - 6175. Let b = 7 - 4. Factor 2/5*u - 4/5*u**2 - 6/5*u**b + l.
-2*u*(u + 1)*(3*u - 1)/5
Find w, given that -16/11*w - 18/11 + 2/11*w**2 = 0.
-1, 9
Let b(d) be the second derivative of 0 + 1/102*d**4 - 6/17*d**2 + 5/51*d**3 + 24*d. Factor b(o).
2*(o - 1)*(o + 6)/17
Let f(q) be the third derivative of q**5/330 + q**4/4 - q**2 - 53. Factor f(n).
2*n*(n + 33)/11
Let w = -17 - -19. Factor 77*v**5 + 189*v**5 - 15*v**3 + 20*v - 100*v**w + 350*v**4 - 21*v**5.
5*v*(v + 1)**2*(7*v - 2)**2
Let h be (-17 - 6)*((-1)/24)/1. Let q = h - 5/8. Factor -1/6*d**2 - q + 1/2*d.
-(d - 2)*(d - 1)/6
Let i(u) = u**2 - u - 2. Let n(v) = -3*v**2 + 90*v + 600. Let p(q) = -6*i(q) - n(q). Let p(a) = 0. Calculate a.
-14
Let i(w) be the second derivative of -5/6*w**3 - 5/12*w**4 + 5*w**2 + 0 - 17*w. What is j in i(j) = 0?
-2, 1
Let p(k) be the third derivative of -k**5/420 - k**4/42 + k**3/2 - 172*k**2. Solve p(b) = 0 for b.
-7, 3
Let z(s) be the second derivative of -3/140*s**5 + 1/70*s**6 + 1/98*s**7 - 13*s - 1/28*s**4 + 0 + 0*s**3 + 0*s**2. Factor z(x).
3*x**2*(x - 1)*(x + 1)**2/7
Let f(g) = g**4 + 15*g**3 + 14*g**2. Let i(x) = -x**3 - x**2. Let j(t) = -f(t) - 6*i(t). Solve j(c) = 0 for c.
-8, -1, 0
Let m be (0 - -35) + (-2 - 1). Solve -7*s**2 - 21*s**2 - m*s**2 + 300*s + 120 + 4*s**3 - 620 = 0 for s.
5
Let h be 21/3 - (5 + -1). Factor 25*o**h + 56*o - 21 + 60*o**2 - 11*o + 31.
5*(o + 1)**2*(5*o + 2)
Let s(h) be the first derivative of -h**4/4 + 2*h**3 - 9*h**2/2 + 4*h + 115. Factor s(z).
-(z - 4)*(z - 1)**2
Let m be 1*(-2)/4*8. Let g = m + 3. Let c(n) = -3*n**2 - 12*n - 6. Let x(f) = f**2 + 1. Let s(v) = g*c(v) - 6*x(v). Find r such that s(r) = 0.
0, 4
Determine j so that 18*j + 0 + 21/2*j**3 - 51*j**2 - 15/4*j**5 + 51/4*j**4 = 0.
-2, 0, 2/5, 2, 3
Let w(v) = -11*v + 13. Let s be w(3). Let z be (2/10)/(s/(-50)). Find i such that 0*i + 3/4*i**3 + 0*i**4 - 1/4*i**5 + z*i**2 + 0 = 0.
-1, 0, 2
Factor -146*x - 120*x - 2*x**4 + 6*x**2 + 246*x - 16 + 8*x**3.
-2*(x - 4)*(x - 2)*(x + 1)**2
Let z = 3317/6 - 1095/2. Determine p, given that 2/3*p**5 + 13/3*p**4 + 10*p**3 + z*p + 32/3*p**2 + 1 = 0.
-3, -1, -1/2
Let r = 18959/11 - 1723. Determine m so that -2/11 - r*m**2 - 6/11*m - 2/11*m**3 = 0.
-1
Let y(n) be the second derivative of 3*n**5/40 - 37*n**4/8 + 90*n**3 - 243*n**2 + 32*n - 2. Factor y(a).
3*(a - 18)**2*(a - 1)/2
Let p(h) be the first derivative of -34 + 1/12*h**2 + 0*h**3 + 0*h - 1/24*h**4. Factor p(c).
-c*(c - 1)*(c + 1)/6
Suppose -13*j - 20*j = -66. Let o(l) be the first derivative of 4 - 2/5*l**5 + 4*l**2 - 2*l**3 - j*l**4 + 8*l. Factor o(m).
-2*(m - 1)*(m + 1)*(m + 2)**2
Let y(p) = p**3 + 6*p**2 + 5*p + 2. Let z be y(-5). Let s(o) = o**2 + o. Let q be s(-2). Factor 5*g**z - 12*g - 3*g**q - 6*g**2.
-4*g*(g + 3)
What is c in 8/11*c**2 + 0 - 8/11*c - 10/11*c**5 + 4/11*c**4 + 30/11*c**3 = 0?
-1, 0, 2/5, 2
Let r = 7 + -4. Factor -5*b**3 - b**2 + 5*b**3 + 2*b - b**r.
-b*(b - 1)*(b + 2)
Suppose -5*r = -197 - 248. Let a = r + -177/2. Factor -a*b**2 - 5/4*b - 3/4.
-(b + 1)*(2*b + 3)/4
Let k be (110/20 + (-2 - 3))*6. Let j(z) be the first derivative of 9/8*z**2 + 1/2*z**k + 3/4*z - 7. Find h, given that j(h) = 0.
-1, -1/2
Factor -2*o**3 - 3*o**3 + 7*o**4 + 17*o**4 + 3*o**5 + 2*o**3 + 0*o**3 - 24*o**2.
3*o**2*(o - 1)*(o + 1)*(o + 8)
Let k(h) = 8*h**2 - 9*h. Let c(g) = -15*g**2 + 17*g. Let y(l) = -3*c(l) - 5*k(l). Let a(d) = -6*d**2 + 7*d. Let z(v) = 4*a(v) + 5*y(v). Factor z(r).
r*(r - 2)
Suppose -9/4 + 1/4*z**2 - 2*z = 0. What is z?
-1, 9
Let m be 6/(-11) + (-200)/(-165). Factor -m*o - 1/3*o**2 + 0.
-o*(o + 2)/3
Let k = -490/31 - -3951/248. What is m in -k*m**3 + m**2 - 2*m + 0 = 0?
0, 4
Let k(f) = 9*f**2 - 2*f**2 + 255 - 271 + f. Let o(j) = j**2 - j - 1. Let q(a) = -5*k(a) + 40*o(a). Find r, given that q(r) = 0.
1, 8
Find p, given that p**2 + 726*p + 5*p**3 - 3*p**3 + 65*p**2 + 2662 = 0.
-11
Let a(p) be the first derivative of -p**6/60 + p**4/8 - p**3/6 + 12*p - 10. Let o(f) be the first derivative of a(f). Suppose o(d) = 0. What is d?
-2, 0, 1
Let b = -101 + 103. Let p(d) be the first derivative of 0*d - 4 + 3/2*d**b - d**3. Solve p(n) = 0.
0, 1
Suppose -4*o - 2 = -18. Find m such that o - 4*m**3 + m - m**2 + 7*m**3 - 4*m**3 + 3*m = 0.
-2, -1, 2
Let d(n) be the third derivative of -n**6/120 + 7*n**5/60 - 7*n**4/24 - 5*n**3/2 - 86*n**2 + 2*n. Factor d(g).
-(g - 5)*(g - 3)*(g + 1)
Let l = -182 + 198. Let k be (-12)/l + 87/20. Suppose -27/5 + k*p**2 - 7/5*p**4 - 27/5*p + 1/5*p**5 + 2*p**3 = 0. Calculate p.
-1, 3
Let c(x) be the third derivative of -x**7/70 - x**6/20 + 3*x**5/20 + x**4/2 - 2*x**3 + 114*x**2. Let c(h) = 0. What is h?
-2, 1
Factor 196/11 - 27/11*l**2 - 1/11*l**3 - 168/11*l.
-(l - 1)*(l + 14)**2/11
Suppose 3*i - 16 = 4*v, -5*i - v + 16 = 3*v. Suppose o - 35 = -i*z - 0*o, -3*o + 15 = 2*z. Factor 8*a + 3*a**3 + a - 3*a - z*a**2.
3*a*(a - 2)*(a - 1)
Let m(y) be the first derivative of y**6/900 + y**5/150 - y**4/20 - 7*y**3/3 - 15. Let o(i) be the third derivative of m(i). Factor o(a).
2*(a - 1)*(a + 3)/5
Let h = -24 - -26. Let m(t) = -3*t**3 + 0*t + 0*t + t**3 - h*t**2. Let j(q) = -q**3. Let n(v) = -j(v) + m(v). Factor n(p).
-p**2*(p + 2)
Let h = -569 + 572. Let y(q) be the first derivative of 0*q - 8 - 2/13*q**h - 4/13*q**4 - 6/65*q**5 + 2/13*q**2. What is o in y(o) = 0?
-2, -1, 0, 1/3
Let w be 12*((-34)/(-72) - (202/18 - 11)). Suppose -3/2*g + 5/2*g**w + 0 + 2*g**4 - g**2 = 0. What is g?
-1, 0, 3/4
Let q(d) = 7*d + 46. Let t be q(-6). Let u(y) be the second derivative of 1/12*y**t + 6*y + 0 - y**2 - 1/6*y**3. Factor u(p).
(p - 2)*(p + 1)
Suppose 5*c = 3*v - 9, v - 2*c = -1 + 4. Factor -g**2 - v*g**2 + 121 - 137 - 20*g.
-4*(g + 1)*(g + 4)
Let d(g) be the first derivative of g**4/7 - 8*g**3/3 - 2*g**2/7 + 8*g -