+ 1)*(3*b - 1)
Let c = -45 - -47. Let w(g) be the first derivative of -2/15*g**5 - c - 1/6*g**2 + 2/9*g**3 + 1/12*g**4 + 0*g. Let w(o) = 0. What is o?
-1, 0, 1/2, 1
Let g(r) be the second derivative of r**7/210 - r**6/24 + 3*r**5/20 - 7*r**4/24 + r**3/3 + 2*r**2 - 2*r. Let m(z) be the first derivative of g(z). Factor m(o).
(o - 2)*(o - 1)**3
Factor -5*n**2 + 6*n**2 + 3 + 1 + 4*n.
(n + 2)**2
Factor 1/2*l**3 + 0 + 8*l + 4*l**2.
l*(l + 4)**2/2
Let k be 0 - 1 - (-32 + 27). Let c(z) be the first derivative of -5/8*z**2 - 5/6*z**3 - 1/4*z + 4 - 5/8*z**k - 1/24*z**6 - 1/4*z**5. Let c(w) = 0. What is w?
-1
Let g be (-10)/(-15)*(-66)/4. Let m be 2/g - (-15)/22. Find v such that -m*v**2 + 0*v + 1/2 = 0.
-1, 1
Let a(k) be the third derivative of k**8/24 + 11*k**7/210 - k**6/10 - 11*k**5/60 - k**4/12 + 10*k**2. What is h in a(h) = 0?
-1, -1/2, -2/7, 0, 1
Suppose 8 = 5*h - 2. Let s(m) be the first derivative of -m**4 - 1 + 2*m**3 + 1/5*m**5 + m - h*m**2. Factor s(b).
(b - 1)**4
Let l be (-4)/(-12) + 4/(-12). Let y(j) be the first derivative of -1/2*j**6 + j**5 - 3 + 0*j**2 + 1/2*j**4 + l*j**3 + 0*j. Solve y(d) = 0.
-1/3, 0, 2
Let d(k) be the second derivative of 0*k**4 + 0 + 1/6*k**2 - 1/90*k**6 - 2*k + 1/30*k**5 - 1/9*k**3. Factor d(m).
-(m - 1)**3*(m + 1)/3
Let s(z) be the third derivative of z**7/105 + z**6/12 + 3*z**5/10 + 7*z**4/12 + 2*z**3/3 - 7*z**2. Find d, given that s(d) = 0.
-2, -1
Suppose 0 + 0*r**2 - 2/7*r**5 + 0*r**4 + 0*r + 2/7*r**3 = 0. Calculate r.
-1, 0, 1
Find j, given that 2*j**2 + 3*j - j + 6*j + 11 - 5 = 0.
-3, -1
Suppose 3*b + 2 = -4. Let c be b + -1 - 35/(-10). Suppose 0*r**4 + c*r - r**3 + 0*r**2 + 0 + 1/2*r**5 = 0. Calculate r.
-1, 0, 1
Let w(v) be the second derivative of v + 0*v**3 + 0*v**2 + 0 - 1/12*v**4 - 1/20*v**5. Determine x so that w(x) = 0.
-1, 0
Let l be 2/(-1)*1 - -3. Let q(h) be the first derivative of -1/10*h**5 - 4*h**3 - 8*h + h**4 + 8*h**2 - l. What is f in q(f) = 0?
2
Let t(h) be the second derivative of h**7/2520 + h**6/360 + h**5/120 + h**4/12 - h. Let b(s) be the third derivative of t(s). Factor b(f).
(f + 1)**2
Let n(l) = l**2 + 2*l. Let c be n(-3). Factor 2 - c - 3*s**2 + 7 - 3*s.
-3*(s - 1)*(s + 2)
Let v(h) = -21*h**3 + 15*h**2 + 147*h + 111. Let u(d) = 3*d**3 - 2*d**2 - 21*d - 16. Let g(y) = -27*u(y) - 4*v(y). Factor g(f).
3*(f - 4)*(f + 1)**2
Factor -t**3 + 6*t**2 - 4*t**2 - 3*t**2 + 3*t**2.
-t**2*(t - 2)
Let f(j) be the first derivative of -j**5/30 + j**3/18 - 27. Factor f(l).
-l**2*(l - 1)*(l + 1)/6
Suppose 2 - 5 = 3*m. Let k be 1/((1/(-3))/m). Factor 5*c - 3*c + 1 + c - c**2 - k.
-(c - 2)*(c - 1)
Let t(o) = o + 5. Let h be t(0). Suppose -r = -h*r. Factor -2*g**4 + 7*g**3 - 2 - 9*g**2 + r*g**4 + 1 + 5*g.
-(g - 1)**3*(2*g - 1)
Let p(x) be the second derivative of x**6/30 + x**5/20 - x**4/12 - x**3/6 + x. Let p(c) = 0. Calculate c.
-1, 0, 1
Let a = -27/7 - -61/14. Determine t so that -9/2*t**2 - 1 - a*t**4 - 5/2*t**3 - 7/2*t = 0.
-2, -1
Factor 5*v**2 - 6*v**2 + 2*v**2.
v**2
Let r(f) be the second derivative of -f**4/18 + 2*f**3/9 - f**2/3 + 7*f. Factor r(y).
-2*(y - 1)**2/3
Suppose 0 = -5*h - 4*p + 15 + 1, 0 = -5*h - 2*p + 18. Suppose 5*o = -t + 57, -h*t = -10 + 2. Find s such that o*s - 2*s + s - 4 + 14*s**2 = 0.
-1, 2/7
Suppose 5 = 5*j - 4*j. Solve 0*f + 2*f - 5*f + f**3 - j*f**4 + 2*f**3 + 7*f**2 - 2 = 0 for f.
-1, -2/5, 1
Let b(w) be the second derivative of -w**5/25 - w**4/3 - 8*w**3/15 + 29*w. Suppose b(j) = 0. What is j?
-4, -1, 0
Let r(c) be the first derivative of 3*c**5/20 - 9*c**4/8 + 9*c**3/4 - 3*c**2/2 - 25. Determine w, given that r(w) = 0.
0, 1, 4
Let s be 12/(-21) + 8/14. Let v(u) be the first derivative of s*u**2 + 0*u + 1/18*u**6 + 1/5*u**5 + 1 + 1/4*u**4 + 1/9*u**3. Factor v(m).
m**2*(m + 1)**3/3
Let t(d) be the second derivative of -d**4/90 + d**3/45 + 6*d. What is i in t(i) = 0?
0, 1
Let u(x) be the first derivative of -x**5/2 - 5*x**4/2 - 5*x**3/2 + 56. Find p such that u(p) = 0.
-3, -1, 0
Let k(i) = -11*i**4 - 8*i**3 + 14*i**2 - 2*i - 8. Let h(r) = -12*r**4 - 9*r**3 + 15*r**2 - 3*r - 9. Let d(x) = 5*h(x) - 6*k(x). Determine n so that d(n) = 0.
-1, 1/2, 1
Let o(g) be the third derivative of 0 + 0*g**5 - 1/9*g**3 + 0*g + 1/24*g**4 - g**2 - 1/360*g**6. Factor o(c).
-(c - 1)**2*(c + 2)/3
Suppose 0 = 5*a - 3*s - 44, -10 = -2*a - 0*a + 5*s. Let r be (2 + -1)/(2/a). Factor 1/2*w**r - w**2 - 1/2*w + w**4 + 0*w**3 + 0.
w*(w - 1)*(w + 1)**3/2
Factor 0 + 7/2*d**3 - d**4 - 2*d**2 + 0*d - 1/2*d**5.
-d**2*(d - 1)**2*(d + 4)/2
Let o(c) = -3*c**5 + 4*c**4 + 2*c**3 - 6*c**2 + c + 2. Let g(d) = d**5 - d**2 - d + 1. Let z(v) = 4*g(v) + 2*o(v). Suppose z(q) = 0. What is q?
-1, 1, 4
Suppose 4 = -4*s - y, 0*s + 3*s + 16 = -4*y. Let f(r) be the first derivative of s*r**3 + 0*r**2 - 1/2*r**4 - 1 - 2/5*r**5 + 0*r. Let f(k) = 0. What is k?
-1, 0
Let q(o) be the second derivative of -o**5/100 + o**4/20 - o**3/10 + o**2/10 - o. Find d such that q(d) = 0.
1
Let w be (-22)/77*7/(-4). Factor -1/4*z**2 + 0 + 0*z - 1/4*z**4 - w*z**3.
-z**2*(z + 1)**2/4
Factor 36*p - 119*p**5 + 59*p**5 + 5*p**2 - 8 + 64*p**5 - 24*p**4 - 69*p**2 + 56*p**3.
4*(p - 2)*(p - 1)**4
Let x(z) = 7*z**2 + 53*z + 196. Let t(c) = 6*c**2 + 54*c + 196. Let v(y) = -3*t(y) + 2*x(y). Factor v(n).
-4*(n + 7)**2
Let y(s) be the third derivative of -s**7/8820 - s**6/840 - s**5/210 + s**4/12 + s**2. Let u(z) be the second derivative of y(z). Factor u(t).
-2*(t + 1)*(t + 2)/7
Let x(k) = 2*k**2 - 3*k + 1. Let n be x(2). Suppose 0*y - 12*y**2 + 7*y**n + 2 + 0 + 3*y = 0. Calculate y.
-2/7, 1
Let 5*g**2 + 17 + 0*g**2 + 588 - 110*g = 0. What is g?
11
Let p = -1/1266 + 467/56970. Let g(t) be the second derivative of 0 - t - 1/18*t**4 - 1/27*t**3 - p*t**6 + 0*t**2 - 1/30*t**5. Factor g(r).
-2*r*(r + 1)**3/9
Let o(n) be the second derivative of -n**6/360 + n**5/40 - n**4/12 + 5*n**3/6 - n. Let f(w) be the second derivative of o(w). Factor f(y).
-(y - 2)*(y - 1)
Let j(r) be the third derivative of r**8/5040 - r**6/180 - 3*r**5/20 - 7*r**2. Let f(b) be the third derivative of j(b). Solve f(u) = 0.
-1, 1
Suppose 5*r = 2*r. Let z(t) = -t**3 + 3*t**2 - 2*t + 2. Let k be z(2). Factor -4/3*p**5 + 10/3*p**k - 1/3 + r*p - 20/3*p**3 + 5*p**4.
-(p - 1)**4*(4*p + 1)/3
Let m(n) be the second derivative of 0 - n - 17/24*n**4 + 1/10*n**5 - n**2 + 5/3*n**3. Factor m(o).
(o - 2)**2*(4*o - 1)/2
Let q(c) = 7*c**4 + 30*c**3 + 7*c**2 - 120*c + 78. Let w(x) = -15*x**4 - 60*x**3 - 15*x**2 + 240*x - 155. Let h(f) = -5*q(f) - 2*w(f). Factor h(k).
-5*(k - 1)**2*(k + 4)**2
Factor 20*t**4 - 30*t**4 - 5*t**2 + t**2 + 14*t**3.
-2*t**2*(t - 1)*(5*t - 2)
Factor 193*c**4 + 16*c**3 + 48*c**2 + 34 - 2 - 191*c**4 + 64*c.
2*(c + 2)**4
Suppose -5*y + 32 - 207 = 0. Let i be ((-4)/(-5))/((-14)/y). Factor 0 - 1/2*w**3 - 1/2*w - w**i.
-w*(w + 1)**2/2
Let q(l) be the second derivative of 2/27*l**4 + 0*l**2 - 1/63*l**7 + 0 + 1/27*l**3 + 1/45*l**5 - 4/135*l**6 - l. Determine i, given that q(i) = 0.
-1, -1/3, 0, 1
Let m(s) be the third derivative of s**6/120 - s**5/20 - s**4/8 + s**3/6 + s**2. Let p be m(4). Factor -6*h**2 - h**3 + p*h - 2 + 3*h**3 + h.
2*(h - 1)**3
Let o be 2/(-8)*(-12)/(-14). Let p = o - -55/126. Factor -p*z**5 + 0*z**4 - 2/9*z + 0 + 4/9*z**3 + 0*z**2.
-2*z*(z - 1)**2*(z + 1)**2/9
Let a(c) = c - 2. Let d be a(4). Let l(n) = -3*n + 5*n - 3*n**3 + d*n**3 - n + n**2. Let p(h) = -h**2 + 2*h + 1. Let g(w) = -2*l(w) + p(w). Factor g(u).
(u - 1)**2*(2*u + 1)
Let n(t) = t - 1. Let f = -2 + 3. Let a(b) = 2*b**5 - 8*b**4 + 12*b**3 - 8*b**2 + 2. Let g(z) = f*a(z) + 2*n(z). Factor g(r).
2*r*(r - 1)**4
Let a be 4/(-32) + (-33)/(-8). Let j(p) = 16*p**2 - 6*p + 1. Let l(x) = -80*x**2 + 29*x - 5. Let o(n) = a*l(n) + 22*j(n). What is b in o(b) = 0?
1/4
Let j = 18643/14 - 1331. Let m(b) be the first derivative of -j*b**4 - 4/21*b**3 + 0*b**2 + 0*b - 24/35*b**5 - 5/21*b**6 + 3. Solve m(s) = 0.
-1, -2/5, 0
Let s = 0 - -3. Let i(n) = 9 - 6 + n**2 - 4 + n**s - 3*n. Let q(v) = 2*v**3 + 2*v**2 - 7*v - 2. Let f(g) = -5*i(g) + 2*q(g). Solve f(l) = 0.
-1, 1
Let q(m) be the second derivative of m**5/10 + m**4/4 + m**3/6 + 4*m. Factor q(x).
x*(x + 1)*(2*x + 1)
Let q(b) be the first derivative of b**5/35 - b**4/7 + b**3/21 + 3*b**2/7 - 14. Suppose q(f) = 0. What is f?
-1, 0, 2, 3
Let j(t) be the first derivative 