/80*z**5 + 0*z**3 + 0 + 0*z**2 + 4*z. Let h(b) = 0. What is b?
-1, 0
Let h = -27/11 - -179/55. What is m in -4/5 - 1/5*m**2 - h*m = 0?
-2
Let p be (-432)/(-180) + (-3 - -1). Factor 0 - p*u**4 + 0*u + 0*u**3 + 2/5*u**2.
-2*u**2*(u - 1)*(u + 1)/5
Let k = 5 - -16. Suppose 6*q**3 + 12*q**5 + k*q**4 + 2*q**2 + 0*q**2 + q**2 - 6*q**2 = 0. What is q?
-1, 0, 1/4
Suppose 0 = -3*w - 8 + 29. Suppose 6 = 4*r - r. Factor -i**3 - i + 3*i**3 + 0 + r + w*i + 6*i**2.
2*(i + 1)**3
Solve 0*j**2 - j**4 - 2*j**2 - 140*j**3 + 137*j**3 = 0 for j.
-2, -1, 0
Find g, given that 5/2*g - 1/2*g**3 - 3/2 - 1/2*g**2 = 0.
-3, 1
Let i(h) be the third derivative of 0*h - 1/90*h**5 + 0 + 0*h**3 - h**2 + 0*h**4. Factor i(r).
-2*r**2/3
Let s(r) be the second derivative of 2*r**7/21 - 2*r**6/15 - r**5/5 + r**4/3 + 2*r. Suppose s(y) = 0. Calculate y.
-1, 0, 1
Let z(p) be the second derivative of -p**6/3240 - p**5/270 - p**4/54 + 7*p**3/6 + 6*p. Let i(d) be the second derivative of z(d). Factor i(w).
-(w + 2)**2/9
Let u(o) be the third derivative of o**5/40 + 27*o**4/32 - 7*o**3/4 + o**2 - 22*o. Let u(m) = 0. Calculate m.
-14, 1/2
Suppose 38 = 5*u - 2*x, 0*u + 2*x - 42 = -5*u. Suppose u = 2*j + 2*j. Suppose -3*a + 4*a - 3*a - a**j = 0. What is a?
-2, 0
Let m(z) be the second derivative of -3*z**5/80 - z**4/8 - z**3/6 - 2*z**2 - 3*z. Let o(r) be the first derivative of m(r). Find j, given that o(j) = 0.
-2/3
Suppose 2*z - 2*j = 2*j + 14, 20 = 4*z - 4*j. Suppose -z*d + 3*p + 24 = 2*d, 2*d + p = 3. Factor 4*s**3 + 2*s**2 + 3*s - 4*s**3 - 2*s**d - 2 - s.
-2*(s - 1)**2*(s + 1)
Let t(q) be the first derivative of -q**3/3 + q**2 - q - 3. Let m be t(1). Let 0 + m*j + 1/4*j**4 + 0*j**3 + 0*j**2 = 0. Calculate j.
0
Factor -2*u**3 - 4/3*u**2 + 0*u + 0 - 2/3*u**4.
-2*u**2*(u + 1)*(u + 2)/3
Let h(a) be the second derivative of 3*a + 7/2*a**3 - 21/10*a**5 + 3*a**2 + 1/2*a**7 + 1/5*a**6 - a**4 + 0. Find d such that h(d) = 0.
-1, -2/7, 1
Let o(y) be the third derivative of 0*y + 0*y**5 + 0 + 2*y**2 + 1/390*y**6 + 0*y**3 + 1/455*y**7 + 1/2184*y**8 + 0*y**4. Factor o(z).
2*z**3*(z + 1)*(z + 2)/13
Factor 5*v**3 - 5*v + 15*v**4 + 6*v**2 - 10*v**4 - 11*v**2.
5*v*(v - 1)*(v + 1)**2
Let g(s) be the first derivative of s**7/630 + s**6/90 + s**5/36 + s**4/36 + 3*s**2 - 1. Let k(p) be the second derivative of g(p). Factor k(d).
d*(d + 1)**2*(d + 2)/3
Let m = -15 - -55. Let k = m + -79/2. Suppose 1/2*l**2 + 0 + k*l**3 + 0*l = 0. What is l?
-1, 0
Let y = 21 - 16. What is v in -y*v**2 - v**3 + 13*v**2 + 3*v**3 + 8*v = 0?
-2, 0
Let b = -21 - -23. Let q(k) be the second derivative of 0*k**b - 1/120*k**6 + 0*k**3 + 0 + 1/48*k**4 + 2*k + 0*k**5. Suppose q(w) = 0. Calculate w.
-1, 0, 1
Let n be 2/12*(8 - 7). Let q(h) be the second derivative of h + 0*h**2 + 1/12*h**4 + 0 - n*h**3. Factor q(d).
d*(d - 1)
Let s(f) = 7*f**4 + 18*f**3 - 3*f**2 + 4*f. Let j(c) = -c**4 - c**3 - c**2. Let q(g) = 18*j(g) + 2*s(g). Factor q(x).
-2*x*(x - 2)**2*(2*x - 1)
Let i be (1 - 0) + 528/(-14). Let f = 37 + i. Determine y so that -f + 2/7*y**2 + 0*y = 0.
-1, 1
Let d(c) be the first derivative of c**6/120 - 3*c**5/80 + c**4/16 - c**3/24 + 4*c - 1. Let m(h) be the first derivative of d(h). Suppose m(f) = 0. What is f?
0, 1
Let i = 1/77 - -3/11. Factor 0 + 2/7*k**3 - 4/7*k**2 + i*k.
2*k*(k - 1)**2/7
Let o(y) be the second derivative of -y**6/30 + y**5/100 + y**4/12 - y**3/30 - 5*y - 4. Find p, given that o(p) = 0.
-1, 0, 1/5, 1
Determine p so that 0*p**3 + 9*p**5 - 10*p**5 - 16*p**4 + 8*p**5 + 4*p**3 = 0.
0, 2/7, 2
Let j(c) be the first derivative of 32*c**3/9 + 8*c**2/3 + 2*c/3 - 9. Find n, given that j(n) = 0.
-1/4
Let h = -16 - -25. Let p = -7 + h. Factor 4/3*x + 0 + 10/3*x**p + 2*x**3.
2*x*(x + 1)*(3*x + 2)/3
Let l(h) be the third derivative of -h**7/180 - h**6/30 + h**5/15 + h**4/4 + h**2. Let r(i) be the second derivative of l(i). Factor r(f).
-2*(f + 2)*(7*f - 2)
Let f(z) be the first derivative of 0*z + 0*z**2 + 2 - 1/8*z**4 + 1/3*z**3. Factor f(j).
-j**2*(j - 2)/2
Let k be ((-1 - -7)*-1)/(-3). What is x in 0*x**3 + 0 - 1/2*x**4 + x + 3/2*x**k = 0?
-1, 0, 2
Let i(k) be the third derivative of 0*k + 1/420*k**6 - 1/105*k**5 - 6*k**2 - 1/84*k**4 + 2/21*k**3 + 0. Let i(h) = 0. Calculate h.
-1, 1, 2
Factor n**2 - 1 - 1/3*n**3 + 1/3*n.
-(n - 3)*(n - 1)*(n + 1)/3
Let t be (-19)/(-12) + (12/16)/(-3). Let 2/3*l**2 + 0 - t*l = 0. What is l?
0, 2
Let k(b) be the second derivative of 2*b**6/165 - b**5/110 - b**4/22 + b**3/33 + b**2/11 - 5*b. Determine u, given that k(u) = 0.
-1, -1/2, 1
Solve -30*g**3 - 112*g - 104*g**2 - 26 + 16*g**2 + 10*g**3 - 6 = 0.
-2, -2/5
Let k(h) be the second derivative of 0*h**3 - 5*h + 1/4*h**2 - 1/24*h**4 + 0. Factor k(a).
-(a - 1)*(a + 1)/2
Factor -4 + 1 - 5*v**3 + 2*v + v + 2*v**3 + 3*v**2.
-3*(v - 1)**2*(v + 1)
Let s(c) be the first derivative of c**6/6 - c**5/25 - c**4/2 + 2*c**3/15 + c**2/2 - c/5 - 19. Suppose s(j) = 0. Calculate j.
-1, 1/5, 1
Let q(o) = -o + 1. Let d be q(1). Let s = 2 - d. Factor 0*p**2 - p**2 + 2*p**3 - 3*p**s - 1 + 2*p**2 + 3*p**4 - 3*p + p**5.
(p - 1)*(p + 1)**4
Let f(c) be the third derivative of 5*c**2 + 0*c - 1/84*c**4 + 1/420*c**6 + 0 + 1/735*c**7 + 0*c**3 - 1/210*c**5. Factor f(x).
2*x*(x - 1)*(x + 1)**2/7
Solve 31*p + 20*p**5 - 31*p + 288*p**3 + 156*p**4 - 64*p**2 = 0.
-4, 0, 1/5
Suppose 5*w + d - 4*d = 27, -2*w + 22 = -4*d. Suppose 9*o**2 - 5*o + 0*o**w + 4 + 12*o**2 + 21*o + 9*o**3 = 0. What is o?
-1, -2/3
Let m(v) be the first derivative of -v**3/6 + v**2/2 + 3*v/2 + 1. Factor m(t).
-(t - 3)*(t + 1)/2
Let y(x) be the third derivative of x**8/23520 - x**6/2520 - x**4/4 + 6*x**2. Let p(u) be the second derivative of y(u). Determine d so that p(d) = 0.
-1, 0, 1
Suppose 0 = -0*l + l. Let s = 109 - 543/5. Let 2/5*t**3 + l + 0*t + s*t**2 = 0. What is t?
-1, 0
Let v(h) be the first derivative of 2*h**3/3 - 3*h**2 + 4. Factor v(w).
2*w*(w - 3)
Let n(b) be the third derivative of -b**5/210 - 5*b**4/84 - 2*b**3/7 + 3*b**2. Suppose n(i) = 0. What is i?
-3, -2
Let p(y) = -96*y**2 - 136*y - 54. Suppose x + 24 = -2*x. Let n(a) = 32*a**2 + 45*a + 18. Let q(v) = x*n(v) - 3*p(v). Find j, given that q(j) = 0.
-3/4
Solve 0 + 1/8*f**2 + 0*f - 1/8*f**3 = 0 for f.
0, 1
Factor -7*o**3 - 44*o + 39*o - 8*o**3 - 6*o**2 - 19*o**2 + 5.
-5*(o + 1)**2*(3*o - 1)
Let h(l) = l**5 + l**2 - l. Let z(w) = -w**5 + 3*w**4 - 15*w**3 + 5*w**2 + 4*w. Let q(y) = 4*h(y) + z(y). Solve q(f) = 0.
-3, 0, 1
Let j(b) be the third derivative of -b**8/1428 - b**7/595 + b**5/510 - 16*b**2. Determine d so that j(d) = 0.
-1, 0, 1/2
Suppose 2*p - p - 6 = 0. Suppose -3*d = -d - p. Determine y, given that d + 1 - 2 + 4*y**2 + y**3 + 5*y + 0*y**2 = 0.
-2, -1
Let l be 1*(-6)/(-12)*4. Solve 3/5*h**4 - 3/5*h**l - 6/5*h**3 + 6/5*h + 0 = 0.
-1, 0, 1, 2
Let b = 123/230 + -4/115. Determine p, given that 0*p**2 + 3*p**4 - b*p**5 - 9/2*p**3 + 0 + 0*p = 0.
0, 3
Let t = 24 + -23. Let v be -5*(-4 - -3)*t. Factor -4/13*d**3 - 2/13*d**v - 2/13 + 6/13*d**4 + 6/13*d - 4/13*d**2.
-2*(d - 1)**4*(d + 1)/13
Let i(q) be the second derivative of 5*q**4/48 + 5*q**3/6 + 5*q**2/2 - 11*q. Factor i(a).
5*(a + 2)**2/4
Suppose 2*k = k + 3. Find j such that -13*j**2 - 5*j**3 + 3*j + 5*j**k + j**2 + 9*j**3 = 0.
0, 1/3, 1
Let d(y) be the third derivative of -y**7/3780 + y**6/360 - y**5/90 - y**4/8 - 2*y**2. Let p(l) be the second derivative of d(l). Factor p(m).
-2*(m - 2)*(m - 1)/3
Let i(q) = 7*q + 5. Let a be i(-2). Let l(f) = f + 9. Let n be l(a). What is z in 0*z + z**3 + n + 1/4*z**4 - 1/4*z**2 - z**5 = 0?
-1, 0, 1/4, 1
Let d(b) = -8*b**4 + 10*b**3 + 35*b**2 - 106*b + 63. Let m(t) = 7*t**4 - 10*t**3 - 35*t**2 + 104*t - 62. Let x(r) = -2*d(r) - 3*m(r). Solve x(a) = 0 for a.
-3, 1, 2
Let k(b) = -2*b**3 - 2*b**2 - b - 1. Let a be k(-2). Suppose -a*c**2 - 4*c + 7*c**3 + 2*c**3 + 2*c**3 - 2*c**3 + 4 = 0. What is c?
-2/3, 2/3, 1
Determine w, given that 0*w**2 + 0*w - 2/13*w**4 + 0*w**3 + 0 = 0.
0
Let n(s) be the third derivative of -8*s**2 + 0*s + 0 + 0*s**4 - 1/6*s**3 + 1/240*s**5. Let n(l) = 0. Calculate l.
-2, 2
Suppose -14 + 2*f**4 - 5*f**3 - 3*f**3 - 40*f + 5*f**2 - 41*f**2 = 0. Calculate f.
-1, 7
Let o be (24/(-9))/(2/(-3)). Suppose o - 10 = -3*n. Factor n*c - 3*c + c + 2*c**2 - 2*c**3.
-2*c**2*(c - 1)
Let k(x) = x**5 - x**4 + x**3 - x - 1. Let j(f) = 7*f**5