r**g + r - 1/6*r**3 + 0 + 1/12*r**4. What is q in c(q) = 0?
0, 1
Let k(l) be the first derivative of -2*l**3 - 5*l**2/2 - l + 9. Find j, given that k(j) = 0.
-1/2, -1/3
Factor -17*j**2 - 11*j**4 - 43*j**2 + 12*j + 48*j**3 - 10*j**4 + 21*j**3.
-3*j*(j - 2)*(j - 1)*(7*j - 2)
Factor -48 + 2*c**3 + 8*c - 8*c**2 + 48.
2*c*(c - 2)**2
Let z(q) be the first derivative of 2/5*q**5 + 0*q - 3 - 2/3*q**3 - 1/6*q**6 + 1/2*q**2 + 0*q**4. Suppose z(i) = 0. What is i?
-1, 0, 1
Let l(m) = 6*m**5 - 34*m**4 + 74*m**3 - 45*m**2 - m + 1. Let k(i) = i**5 + i**4 - i**3 - i + 1. Let t(h) = k(h) - l(h). Let t(c) = 0. What is c?
0, 1, 3
Let b be ((-1)/(9/12))/((-84)/18). What is j in -b*j**3 - 2/7*j**2 + 10/7*j - 6/7 = 0?
-3, 1
Let t(r) be the second derivative of -r**10/60480 + r**9/30240 + r**4/4 + 3*r. Let c(s) be the third derivative of t(s). Factor c(x).
-x**4*(x - 1)/2
Let q(m) be the second derivative of m**6/105 + 29*m. Suppose q(c) = 0. Calculate c.
0
Suppose 0*p + 0 + 2/7*p**2 - p**3 = 0. What is p?
0, 2/7
Let t(z) be the first derivative of z**4/22 - 7*z**3/33 + 7*z**2/22 - 2*z/11 + 27. Find k such that t(k) = 0.
1/2, 1, 2
Suppose 8*j**3 + 4/3*j**5 + 24 - 8*j**4 - 52*j + 80/3*j**2 = 0. What is j?
-2, 1, 3
Suppose -1 = 2*w - 9. Let n be ((-6)/w)/((-9)/12). What is d in 3*d**3 - n*d**4 - d**3 - d**5 - 3*d**3 = 0?
-1, 0
Let t be (-3)/(-9) + (-8)/(-12). Suppose -t + 1 + 0 - 3*s**2 + 3*s**4 = 0. Calculate s.
-1, 0, 1
Solve 18 + 20/3*b**3 - 8/3*b**4 - 27*b + 6*b**2 = 0 for b.
-2, 3/2
Let l(y) = y**2 - 6*y + 3. Let i be l(6). Factor 3*k**3 + 9/2*k**4 - i*k**2 - 9/2*k + 3/2*k**5 - 3/2.
3*(k - 1)*(k + 1)**4/2
Let f(s) be the first derivative of s**8/240 + 3*s**7/350 + s**6/300 - s**2 - 3. Let d(a) be the second derivative of f(a). Let d(w) = 0. What is w?
-1, -2/7, 0
Factor -z**2 - 1 + 0*z**2 + z**4 + 1.
z**2*(z - 1)*(z + 1)
Let t(o) = 2*o**2 + 2*o - 2. Let v be t(2). Determine c, given that -3*c**3 + 2*c + v*c**2 + 8*c**3 - 3*c**3 + 4*c**3 - 8*c**5 - 10*c**4 = 0.
-1, -1/4, 0, 1
Let l = 365923/831 + -1321/3. Let w = 1114/831 - l. Factor -544/3*n**3 + 128*n**4 + 88*n**2 + w - 18*n.
2*(3*n - 2)*(4*n - 1)**3/3
Let v(u) = 6*u**2 - 8*u - 4. Let c(p) = -p**2 + p. Let k(b) = -15*c(b) - 3*v(b). Factor k(x).
-3*(x - 4)*(x + 1)
Let j = 3 + -4. Let p(o) be the first derivative of o**5/5 - o**3/3 - 1. Let t(m) = -3*m**4 + 2*m**3 + 3*m**2 - 2*m. Let h(c) = j*t(c) + 4*p(c). Factor h(s).
s*(s - 1)*(s + 1)*(7*s - 2)
Let m(r) be the third derivative of r**8/4200 - r**7/2100 + r**3 + r**2. Let l(k) be the first derivative of m(k). Factor l(t).
2*t**3*(t - 1)/5
Let u be 3 + 0 + -2 + 5. Let l(p) = -p**2 + 7*p - 6. Let x be l(u). Factor 6*g**4 - 3*g**2 + 10*g**3 + x*g**2 + 7*g**2.
2*g**2*(g + 1)*(3*g + 2)
Let u(t) be the second derivative of t**4/120 + 2*t**3/15 - 9*t**2/20 + 18*t. Factor u(b).
(b - 1)*(b + 9)/10
Let z be (0 - 0)/(-7 + 9). Suppose 1/3*v**4 - 2/3*v**2 + z*v + 1/3*v**3 + 0 = 0. What is v?
-2, 0, 1
Let b(l) = -l**2 - 16*l - 25. Let k(p) = -p**2 - 17*p - 25. Let v(m) = 7*b(m) - 6*k(m). Factor v(s).
-(s + 5)**2
Let u be (-2)/(-4) + 171/114. Factor 1/3*o**4 + 4/3*o + 1/3 + u*o**2 + 4/3*o**3.
(o + 1)**4/3
Determine n, given that -2/7*n + 0 + 4/7*n**4 - 10/7*n**3 + 8/7*n**2 = 0.
0, 1/2, 1
Let a(c) be the second derivative of c**5/50 - c**4/30 - c**3/15 + c**2/5 - 16*c. Factor a(b).
2*(b - 1)**2*(b + 1)/5
Suppose 0 = 2*p + l + 5, -2*l + 0 + 8 = -5*p. Let x be 3 - 2 - 1*p. Factor -3*c + 3*c**x - 2 + c**2 + 4*c + c**4 - 4*c.
(c - 1)*(c + 1)**2*(c + 2)
Let j be 4/(60/27) + 7. Find m such that -36/5*m**5 + 12*m**4 + 0 - 44/5*m**2 + 8/5*m + j*m**3 = 0.
-1, 0, 1/3, 2
Suppose -4*c + 3*h + 40 = 0, -25 = -c + 3*h - 6. Let x = c + -2. Solve -153*a**3 - 2*a - 57*a**2 + 0*a - 24*a**4 - 4*a + 240*a**x = 0.
-2/5, -1/4, 0, 1
Let m be 6/12*(-8)/(-6). Solve 2/9 - 10/9*f**2 - m*f**3 - 2/9*f = 0 for f.
-1, 1/3
Factor 90/7*h**4 + 0 + 88/7*h**2 - 16/7*h - 156/7*h**3.
2*h*(3*h - 2)**2*(5*h - 2)/7
Factor 32*z**4 + 28*z - 27*z**2 + 58*z**2 + 4 + 80*z**3 + 41*z**2.
4*(z + 1)*(2*z + 1)**3
Let l(v) = v**3 - 4*v. Let o be l(0). Factor o + 2/3*d**2 - 1/3*d.
d*(2*d - 1)/3
Let y(q) = -q**3 + 7*q**2 + q + 3. Let n be y(7). Let m be 2/n*(7 + -1). Find x, given that 6/5*x**4 - 4/5*x**3 - 2/5 + m*x - 2/5*x**5 - 4/5*x**2 = 0.
-1, 1
Let y(v) be the second derivative of -3*v**5/20 + v**4/4 + v**3/2 - 3*v**2/2 + 8*v. Suppose y(u) = 0. What is u?
-1, 1
Find o, given that -2/5 + 2*o**2 + 6/5*o - 6/5*o**3 - 8/5*o**4 = 0.
-1, 1/4, 1
Let a(o) be the second derivative of -3/20*o**5 + 0*o**2 - 1/4*o**4 + 2*o + 1/2*o**3 + 0 + 1/10*o**6. Solve a(c) = 0 for c.
-1, 0, 1
Let t(i) be the first derivative of -3*i**5/5 + i**3 + 7. Factor t(p).
-3*p**2*(p - 1)*(p + 1)
Determine q, given that -2/9*q**2 + 2/3*q + 20/9 = 0.
-2, 5
Let c be ((-8)/30)/(2/(-10)). Let u be -1*1*20/(-15). Suppose -10/3*w**4 + 2/3 + u*w**5 - 8/3*w + 8/3*w**2 + c*w**3 = 0. Calculate w.
-1, 1/2, 1
Let j = 2131/15 - 142. Let y(z) be the second derivative of -1/105*z**7 + 0 + 0*z**2 - 1/15*z**4 + 2/75*z**6 + 2*z + j*z**3 + 0*z**5. Factor y(x).
-2*x*(x - 1)**3*(x + 1)/5
Let i be 2/(-9) + 2/9. Suppose 0 = m + 3*d + 6, -6 = 2*m + 4*d - i. Factor -5*o**2 + 2*o**2 + 2*o**2 - 5*o**m - 4*o**4.
-o**2*(o + 1)*(4*o + 1)
Let o be (-58)/(-10) - (-2)/10. Let w = o - 3. Let -10*s**3 + 2*s**2 + 10*s**w - 2*s**4 = 0. Calculate s.
-1, 0, 1
Let h(t) = t**3 - t + 2. Let s be h(1). Factor 2*n + 1/2*n**s + 2.
(n + 2)**2/2
Let p(f) be the third derivative of 0*f + 0 - 2/75*f**5 + 1/30*f**4 + 4/15*f**3 - 1/150*f**6 - 5*f**2. Determine c, given that p(c) = 0.
-2, -1, 1
Solve -6/5 - 3*k**2 + 21/5*k**4 - 27/5*k**3 + 27/5*k = 0 for k.
-1, 2/7, 1
Let w = -18 + 22. Let f(i) be the second derivative of 2*i**2 + 1/3*i**3 - 1/6*i**w + 2*i + 0. What is l in f(l) = 0?
-1, 2
Let q(x) be the first derivative of 3*x**4 + 7*x**3 + 3*x**2 - 3*x + 9. Factor q(v).
3*(v + 1)**2*(4*v - 1)
Let q(w) be the third derivative of 7*w**6/24 + 11*w**5/3 + 5*w**4/2 + 2*w**2 + 8. Factor q(s).
5*s*(s + 6)*(7*s + 2)
Suppose 10/7*p**3 + 16/7*p**2 + 2/7*p**4 + 8/7*p + 0 = 0. Calculate p.
-2, -1, 0
Let t be ((-3)/(-9))/((-1)/(-6)). Factor 4/5*j + 4/5 + 1/5*j**t.
(j + 2)**2/5
Let c(n) be the second derivative of -n**7/11340 + n**6/3240 + n**4/6 + n. Let d(q) be the third derivative of c(q). Factor d(l).
-2*l*(l - 1)/9
Let q(s) be the second derivative of -s**6/105 - 3*s**5/70 + 3*s**4/14 - 5*s**3/21 - 16*s. Factor q(k).
-2*k*(k - 1)**2*(k + 5)/7
Suppose -5*a = -39 + 9. Let j(r) be the third derivative of -1/300*r**a + r**2 + 1/15*r**3 + 0*r + 0 + 1/50*r**5 - 1/20*r**4. Factor j(l).
-2*(l - 1)**3/5
Let v(w) be the third derivative of w**7/1050 - w**6/100 + 39*w**2. Suppose v(b) = 0. What is b?
0, 6
Let r(k) = k**5 - 5*k**4 + 5*k**3 - k**2 - 3*k. Let a(b) = -4*b**5 + 16*b**4 - 16*b**3 + 4*b**2 + 10*b. Let m(h) = -6*a(h) - 20*r(h). Factor m(f).
4*f**2*(f - 1)*(f + 1)**2
Suppose 2 + 11 + 10 - 21*v + 3*v**3 - 5 = 0. What is v?
-3, 1, 2
Let h be 408/55 - 36/(-90). Suppose 0 - 14/11*z**5 - h*z**3 - 8/11*z - 48/11*z**2 - 60/11*z**4 = 0. What is z?
-2, -1, -2/7, 0
Let p be -3 + 3 + 6 - 3. Let l(y) be the second derivative of -y + 0 + 0*y**4 - 1/27*y**p + 0*y**2 + 1/90*y**5. Factor l(z).
2*z*(z - 1)*(z + 1)/9
Let f be 7 + -1 + -1 + -1. Suppose 3*u**2 - 13*u - 9*u + 3*u**f - 3*u**3 + 25*u - 6*u**4 = 0. What is u?
-1, 0, 1
Suppose 9 + 14 = -5*x + 3*w, 3*w = -5*x - 17. Let f be 2 + x/12*5. Factor -f*h**2 + 0 + 1/3*h.
-h*(h - 1)/3
Let z(l) be the first derivative of l**6/6 - 4*l**5/5 + 5*l**4/4 - 2*l**3/3 - 8. Factor z(u).
u**2*(u - 2)*(u - 1)**2
Let i = 10 - 6. Suppose 5*f = 19 - i. Factor 2*w**4 + 3*w - 2 + f*w - 4*w**3 - 2*w.
2*(w - 1)**3*(w + 1)
Let h(m) = 4*m + 1. Let j be h(2). Let n be (0 - 6/j)*-6. Suppose 0 - 9*f**3 + f**2 - 7*f**4 + 9*f + 2 + n*f**2 = 0. What is f?
-1, -2/7, 1
Let b(k) be the second derivative of 3/10*k**2 + 0 - 1/5*k**3 + 1/20*k**4 - 5*k. Determine w, given that b(w) = 0.
1
Let a be 12*(1 - 0/2). Suppose -5*u + 3*u - 5*l - a = 0, 0 = u + l. Find f such that 2*f**u + f - 2*f - 3*f**2 + f**5 + f**2 = 0.
-1, 0, 1
Solve 4*s**2 - 13 + 8 - 1 + 4*s - 2 = 0 for s.
-2, 1
Let t(b) be the second derivative of 1/6*b**2 - 1/18*b**4 + 0*b**3 + 1/90*b**6 + 0*b**5 + 3*b + 0. Factor t(w).
(w - 1)**2*(w + 1)**2/3
Let p(h