*v**6 - 8*v + 2/15*v**5 + 0*v**3. Find b, given that t(b) = 0.
-2, 0
Let b(m) be the first derivative of -1/2*m**2 + m + 1/4*m**4 - 1/3*m**3 + 3. Find j, given that b(j) = 0.
-1, 1
Let k(v) = -3 + 10*v - 4*v - v**2 + 7. Let m be k(6). Factor -18*d - 5 - 16*d**3 - 2*d**5 + 1 - 26*d**2 - 6*d**2 - 12*d**3 - 12*d**m.
-2*(d + 1)**4*(d + 2)
Let p(d) = d**2. Let t(h) = -9*h**2 - 12*h - 12. Let c(k) = 6*p(k) + t(k). Determine s so that c(s) = 0.
-2
Let m(w) be the first derivative of w**5/60 - w**3/18 + 4*w + 4. Let d(b) be the first derivative of m(b). Factor d(l).
l*(l - 1)*(l + 1)/3
Suppose -35 = -k + 8*k. Let w be k/(-3)*6/15. Find y such that -w*y**2 - 2/3*y - 2/9 - 2/9*y**3 = 0.
-1
Let -16/3 + 20/3*s**2 - 56/3*s - 4/3*s**4 + 70/3*s**3 - 14/3*s**5 = 0. Calculate s.
-2, -1, -2/7, 1, 2
Suppose 2*n + 2 = i, -10 + 0 = -5*i + n. Solve 4 - 4 - i*w**2 - 2*w + 4 = 0.
-2, 1
Let h(s) be the first derivative of s**2 - 7/3*s**3 + 0*s + 1. Find n such that h(n) = 0.
0, 2/7
Let o = 21 + -19. Let j(c) be the third derivative of 0*c**6 + 0*c + 0 + 2*c**o + 0*c**3 - 1/630*c**7 + 1/180*c**5 + 0*c**4. Suppose j(b) = 0. What is b?
-1, 0, 1
Let s(y) be the first derivative of 2*y**3/15 - 6*y**2/5 + 18*y/5 + 20. Suppose s(z) = 0. What is z?
3
Let i(l) be the second derivative of -l**7/630 + 2*l**4/3 - 5*l. Let j(k) be the third derivative of i(k). Factor j(m).
-4*m**2
Suppose i = 5*q + 26, -4*i + 38 = -q + 3*q. Suppose -i*n = -10*n - 4. Find p such that 2*p**4 + 5/2*p**2 + 0 - n*p**3 - 1/2*p = 0.
0, 1/2, 1
Let d be -1 + 5 + (1 - 0). Let -3/5*p**3 + 0*p + 1/5*p**2 + 3/5*p**4 - 1/5*p**d + 0 = 0. What is p?
0, 1
Find d, given that 2/13*d**5 + 2/13*d + 0 - 8/13*d**2 - 8/13*d**4 + 12/13*d**3 = 0.
0, 1
Factor 2/3 - 1/6*s**2 - 1/2*s.
-(s - 1)*(s + 4)/6
Let k be ((-15)/(-36))/((-2)/(-16)). Let r = k - 3. Factor 0 - 1/3*i + r*i**2 + i**4 + 5/3*i**3.
i*(i + 1)**2*(3*i - 1)/3
Let r(x) be the first derivative of -1 + 0*x**2 + 1/5*x**5 + 1/15*x**6 + 1/6*x**4 - 2*x + 0*x**3. Let g(b) be the first derivative of r(b). Factor g(w).
2*w**2*(w + 1)**2
Let m(p) be the first derivative of 2/3*p + 2 - 1/6*p**2 - 1/9*p**3. Factor m(i).
-(i - 1)*(i + 2)/3
Suppose -7*g = -3*g + 5*z - 70, -2*g + 42 = -z. Let q be g/21 + 34/(-119). Factor -q*a + 0 + 1/3*a**2.
a*(a - 2)/3
Let p(i) = i**3 - 6*i**2 - i - 2. Let t be p(5). Let h be (-3 - t/12)*-9. Solve -1/4*c**2 - 1/4*c**4 + 0 + 0*c + 1/2*c**h = 0 for c.
0, 1
Let h(l) = -21*l**4 - 15*l**3 + 3*l**2 + 12*l - 15. Let y(p) = p**4 - p**2 - p + 1. Let c(q) = -h(q) - 15*y(q). What is r in c(r) = 0?
-1, -1/2, 0
Let i(g) be the second derivative of -g**6/1800 + g**5/600 + g**3/6 + 2*g. Let s(u) be the second derivative of i(u). Find c such that s(c) = 0.
0, 1
Let j(y) be the second derivative of y**9/504 - y**8/210 + y**7/420 - 2*y**3/3 - 5*y. Let x(d) be the second derivative of j(d). Factor x(c).
2*c**3*(c - 1)*(3*c - 1)
Let o(q) = -17*q**3 + 2 + 23*q**2 + 90*q**3 + 7 - 5*q. Let f(g) = -18*g**3 - 6*g**2 + g - 2. Let s(m) = 18*f(m) + 4*o(m). What is d in s(d) = 0?
-1/4, 0
Factor 1/6*q - 1/6*q**2 + 0.
-q*(q - 1)/6
Let t be (0/(-1) - -1) + -3. Let f = 5 + t. Factor -1/4*p**4 + 0*p**2 - 1/2*p**f + 1/4 + 1/2*p.
-(p - 1)*(p + 1)**3/4
Let d be (2 - 1) + (2 - 2). Determine y so that 1 - 4*y**2 + 2*y**3 + 4*y - 2*y - d = 0.
0, 1
Suppose 7 = -3*l + 1, 0 = 4*p - 3*l - 14. Let a = 1 + 3. Find u such that -u**5 - 4*u - 2*u**4 + 4*u + u**p + u**3 + u**a = 0.
-1, 0, 1
Let v = -39/7 + 191/28. Let u = 63/284 - -2/71. Factor -u*c**3 - 1/2 - c**2 - v*c.
-(c + 1)**2*(c + 2)/4
Let j be 19/57 - 3/18. Find a, given that -j*a**3 + 0*a + 0 + 1/6*a**5 + 1/6*a**2 - 1/6*a**4 = 0.
-1, 0, 1
Let d(f) be the first derivative of 1/2*f**6 + 4 + 0*f**2 + 0*f + 0*f**4 + 6/25*f**5 + 0*f**3. Factor d(t).
3*t**4*(5*t + 2)/5
Suppose v - 6 = -y, 5*y = 3*v - 5*v + 6. Suppose 7*o - 3*o = v. Factor s**3 - 3*s + 4*s - 4*s**2 + o*s**2.
s*(s - 1)**2
Determine o, given that 0 + 16/25*o + 24/25*o**2 - 2/25*o**5 - 6/25*o**4 + 4/25*o**3 = 0.
-2, -1, 0, 2
Let k(h) be the third derivative of -2*h**7/525 + 9*h**6/200 - 53*h**5/300 + 7*h**4/40 + 3*h**3/10 - 14*h**2. What is t in k(t) = 0?
-1/4, 1, 3
Let x = -21 - -23. Factor -2*m**3 - 1/2*m**4 - 1/2 - 3*m**x - 2*m.
-(m + 1)**4/2
Factor 9/2*k**3 + 3*k**2 + 2*k**4 + 0 + 1/2*k.
k*(k + 1)**2*(4*k + 1)/2
Let u be (-1)/(-6) - ((-14)/(-12) - 1). Suppose -1/4*x**3 + 0 + u*x - 1/2*x**2 = 0. What is x?
-2, 0
Let z(v) be the first derivative of 2*v**6/15 - 4*v**4/5 - 8*v**3/15 + 6*v**2/5 + 8*v/5 - 50. Factor z(i).
4*(i - 2)*(i - 1)*(i + 1)**3/5
Let j = 1 - -1. Let r(q) = -q - q**j - 2*q + 2*q. Let n(a) = -2*a**2 - 4*a. Let d(y) = -n(y) + 4*r(y). Let d(h) = 0. Calculate h.
0
Suppose -2/3 + 2/3*p**2 + 0*p = 0. Calculate p.
-1, 1
Let y be (0*(-1)/(-2))/1. Let t be -1 + 3/(-1) + 4. Solve 2/9*l**3 + y*l - 2/9*l**2 + t = 0.
0, 1
Let v(d) be the third derivative of d**5/12 - 5*d**3/6 - 8*d**2. Determine m so that v(m) = 0.
-1, 1
Determine r so that 11*r**3 + 3*r**4 + 15*r + 9*r**2 - 12 - 15*r**3 - 11*r**3 = 0.
-1, 1, 4
Suppose -5*s = k + 4*k - 35, 3*k = 6. Suppose -s*j + 3*j = 0. Let 2/11*y + j - 4/11*y**2 + 2/11*y**3 = 0. Calculate y.
0, 1
Let f(c) be the third derivative of c**6/60 - c**5/15 - c**4/12 + 2*c**3/3 + 5*c**2. Factor f(g).
2*(g - 2)*(g - 1)*(g + 1)
Let r(q) = q**2 - q + 1. Let a(k) = -k + 3*k**2 - k**2 + 2 - 1. Let f(l) = -6*a(l) + 14*r(l). Determine n, given that f(n) = 0.
2
Factor -1/8*b + 0 - 1/8*b**4 + 1/8*b**2 + 1/8*b**3.
-b*(b - 1)**2*(b + 1)/8
Let f(x) = -9*x**4 - 3*x**3 + 6*x**2 + 6*x + 3. Let r(b) = 19*b**4 + 5*b**3 - 13*b**2 - 11*b - 5. Let o(t) = 5*f(t) + 3*r(t). Let o(w) = 0. Calculate w.
-1/2, 0, 1
Factor -3/2 + 0*m + 3/2*m**2.
3*(m - 1)*(m + 1)/2
Let f = -2 + 4. Solve 0*a**2 - 2*a + 4 + 0*a**3 - 6*a**2 + 2*a**3 + f*a**4 = 0 for a.
-2, -1, 1
Let c = -18 - -8. Let h be -3 - (-1 + 24/c). Factor 2/5*d**2 - 4/5*d + h.
2*(d - 1)**2/5
Suppose 0 - 14/3*g**3 - 2*g**2 - 2/3*g**5 - 10/3*g**4 + 0*g = 0. What is g?
-3, -1, 0
Let x be 9 + -7 - -1*2. Suppose 4*a - 4*r + x = 0, -3*r = 2*a - 25 + 7. Determine f, given that 3/2 + 9/4*f**a + 6*f**2 + 21/4*f = 0.
-1, -2/3
Suppose 8/11*d + 0 - 4/11*d**5 + 14/11*d**4 - 6/11*d**3 - 16/11*d**2 = 0. What is d?
-1, 0, 1/2, 2
Let d = 7 + -9. Let a(m) = -6*m**2 - 3*m + 4. Let x(l) = l**2 + l - 1. Let o(h) = d*a(h) - 10*x(h). Determine g, given that o(g) = 0.
1
Suppose 4*x + 18 = -g, -4*x = 3*g - 7*x - 21. Let 2/5*i**3 + 0*i + 2/5*i**g + 0 = 0. Calculate i.
-1, 0
Suppose 2 = w - 0*w. Suppose 4*l = w*l. Factor l*y + 8/3*y**4 + 5/3*y**5 + 1/3*y**3 + 0 - 2/3*y**2.
y**2*(y + 1)**2*(5*y - 2)/3
Let k = 14281/105 - 136. Let t(j) be the second derivative of -k*j**7 + 1/50*j**5 + 0 + 1/30*j**4 + j + 0*j**2 + 0*j**3 - 1/75*j**6. Factor t(o).
-2*o**2*(o - 1)*(o + 1)**2/5
Let d(x) be the third derivative of x**5/270 + x**4/108 + x**2. Find k, given that d(k) = 0.
-1, 0
Suppose -x + 11 = 2*k + 3*k, 4*x - 8 = -2*k. Suppose 10*s = 9*s + 2. Find p such that k*p - 4/5 - 6/5*p**s = 0.
2/3, 1
Let a(i) be the first derivative of i**4/14 + 4*i**3/7 + 11*i**2/7 + 12*i/7 - 10. Factor a(v).
2*(v + 1)*(v + 2)*(v + 3)/7
Let 2/3*v**3 - 2/3*v + 2/9*v**2 - 4/9 + 2/9*v**4 = 0. What is v?
-2, -1, 1
Factor 0 + 8/11*v + 0*v**2 - 6/11*v**3 + 2/11*v**4.
2*v*(v - 2)**2*(v + 1)/11
Let v = 0 + 3. Suppose -t - v*m = -3, 4*t - 4*m - 14 = -2. Factor 2*l**2 - l**t + 2*l**2 + 3*l**3 - 2*l**2.
2*l**2*(l + 1)
Let j(i) be the second derivative of -2*i**7/21 + 13*i**6/30 - 3*i**5/4 + 7*i**4/12 - i**3/6 + 11*i. Factor j(c).
-c*(c - 1)**3*(4*c - 1)
Let o(k) be the second derivative of k**4/66 - 4*k**2/11 - 35*k. Determine x so that o(x) = 0.
-2, 2
Let l(p) be the second derivative of p**7/315 - 4*p**6/225 + p**5/25 - 2*p**4/45 + p**3/45 - 14*p. Factor l(y).
2*y*(y - 1)**4/15
Let a(g) be the third derivative of 0 + 5/108*g**4 - 2/27*g**3 - 2/135*g**5 + 0*g - g**2 + 1/540*g**6. Find r such that a(r) = 0.
1, 2
Let o be (-276)/(-46) - 8/3. Determine j so that o*j**3 + 8/3*j**2 + 4/3*j**4 + 2/3*j + 0 = 0.
-1, -1/2, 0
Let h(l) be the second derivative of -l**7/42 - l**6/30 + 3*l**5/20 + l**4/12 - l**3/3 + 5*l. Suppose h(x) = 0. What is x?
-2, -1, 0, 1
Let d(f) = 70*f**4 + 70*f**3 - 10*f**2 - 10*f + 5. Let r(z) = -z**4 + z**2 + 1. Let k(j) = -d(j) + 5*r(j). Suppose k(s) = 0. C