 2/3*v**3 - 2*v**2 + 0 = 0?
-2, -1, 0, 1
Find z such that -20*z - 102/5 + 2/5*z**2 = 0.
-1, 51
Factor 28*f - 2/13*f**2 - 1274.
-2*(f - 91)**2/13
Suppose -3*i - 18 = 2*g, 7*g = 5*g - 4*i - 22. Let t be (3 - (-15)/(-9))/(g/(-12)). Factor -100/3*c**4 + 0 - 32*c**2 + t*c + 60*c**3.
-4*c*(c - 1)*(5*c - 2)**2/3
Suppose 2*j + 4*z - 20 = -54, -j + 4*z - 5 = 0. Let w = j + 16. Find c, given that w*c**2 - 2*c + 0*c**2 - c**2 - c**2 = 0.
0, 2
Factor -3/8*r**2 + 39/8*r - 27/2.
-3*(r - 9)*(r - 4)/8
Let a(o) = 4*o - 3. Let l be a(3). Factor 4*k**3 + 33*k**4 - k**2 + k**2 - l*k**4 + 32*k**5.
4*k**3*(2*k + 1)*(4*k + 1)
Let p(j) be the first derivative of 2*j**5/15 + j**4 + 22*j**3/9 + 2*j**2 + 87. Factor p(m).
2*m*(m + 1)*(m + 2)*(m + 3)/3
Let w be 2/20 + (-60894)/3240. Let l = w + 77/4. Suppose -l*u**2 + 2/9*u + 0 = 0. Calculate u.
0, 2/5
Suppose 10 = 3*d + 2*u, 6*u - u - 18 = -4*d. Suppose 0 = d*y, -3*b + 2*y + 3*y = 0. Determine t so that 1/2*t - 1/2*t**3 - 1/2*t**2 + 1/2*t**4 + b = 0.
-1, 0, 1
Let y(j) be the first derivative of -6*j**3/5 - 57*j**2/10 - 9*j/5 + 148. Factor y(g).
-3*(g + 3)*(6*g + 1)/5
Factor -f**3 + 60*f**2 - 103*f**2 + 2 + 41*f**2 + 2*f - f**3.
-2*(f - 1)*(f + 1)**2
Let c(i) be the first derivative of i**4/14 - 4*i**3/3 + 11*i**2/7 + 52*i/7 + 207. Solve c(t) = 0 for t.
-1, 2, 13
Let a = -2122 + 2125. Suppose -8/3 - 20/3*w - 7/3*w**a - 1/3*w**4 - 6*w**2 = 0. What is w?
-2, -1
Let t be 7/(-28) + 5/(-2)*20/(-100). Find l, given that t*l + 0 - 1/4*l**2 = 0.
0, 1
Suppose -2850 = -8*y - 17*y. Suppose 118*d = y*d. Solve 4/3*c**2 + d - 4/3*c = 0.
0, 1
Let w(b) be the first derivative of -25 + 2*b**3 - 57/2*b**2 + 9/4*b**4 + 18*b. Factor w(c).
3*(c - 2)*(c + 3)*(3*c - 1)
Let i = -20 + 15. Let o(a) = 9*a**3 + 10*a**2 + 22*a + 11. Let l(x) = 10*x**3 + 9*x**2 + 23*x + 12. Let t(f) = i*l(f) + 6*o(f). Factor t(q).
(q + 1)*(q + 2)*(4*q + 3)
Let t = 7 - 3. Let z be 3 + 2 + (-6 - -3). What is g in -2*g - 4*g + 0*g - 5 - t - g**z = 0?
-3
Let a be (-183)/2135*40/(-12). Factor 18/7 + 16/7*w**3 + 48/7*w + a*w**4 + 44/7*w**2.
2*(w + 1)**2*(w + 3)**2/7
Let r(c) be the first derivative of c**4/32 + c**3/4 - 4*c - 85. Factor r(x).
(x - 2)*(x + 4)**2/8
Let g(v) be the third derivative of v**6/40 + 13*v**5/20 + 6*v**4 + 18*v**3 - 26*v**2 - 3. Factor g(d).
3*(d + 1)*(d + 6)**2
Let l(d) be the second derivative of 1/9*d**4 + 0*d**3 - 1/5*d**5 - 2/63*d**7 + 0*d**2 + 0 - 1/6*d**6 - 2*d. What is w in l(w) = 0?
-2, 0, 1/4
Let a(z) be the first derivative of -5*z**3/3 + 100*z**2 - 2000*z - 8. Suppose a(v) = 0. What is v?
20
Let z(r) = -r + 2. Let g(p) = -2*p**5 - 8*p**4 - 2*p**3 + 28*p**2 + 42*p + 12. Let u(w) = g(w) + 2*z(w). Let u(j) = 0. What is j?
-2, -1, 2
Let s(k) = -1745*k**2 - 838*k - 85. Let f(h) = -873*h**2 - 420*h - 42. Let q(u) = -11*f(u) + 6*s(u). Factor q(n).
-3*(17*n + 4)**2
Let x(g) be the first derivative of -g**4/54 - 8*g**3/27 - 16*g**2/9 - 6*g - 2. Let c(s) be the first derivative of x(s). Solve c(z) = 0.
-4
Let g(r) be the second derivative of 1/270*r**5 - 4*r - 2/27*r**3 + 2*r**2 - 1/108*r**4 + 0. Let h(b) be the first derivative of g(b). Factor h(u).
2*(u - 2)*(u + 1)/9
Let h(t) = 2*t - 5. Let c be h(5). Determine o, given that 10*o**c - 2*o**4 - o + 2*o**5 + 5*o**5 + 2*o**2 - 16*o**5 = 0.
-1, 0, 1
Let f be ((-13)/(-6) + 9/18)/((-56)/(-42)). Factor -7/3*k**5 - 10/3*k**3 - 37/3*k**4 + 0 + 0*k**f + 0*k.
-k**3*(k + 5)*(7*k + 2)/3
Factor 4356 - n**2 - 121*n - 37*n - 106*n + 5*n**2.
4*(n - 33)**2
Let v(n) be the second derivative of 3*n**5/40 - 3*n**4/8 - 13*n**3/4 + 45*n**2/4 - 15*n + 4. Factor v(s).
3*(s - 5)*(s - 1)*(s + 3)/2
Let f(y) be the third derivative of -y**6/720 - y**5/360 + 195*y**2. Let f(w) = 0. What is w?
-1, 0
Let q be 2/(-8)*(-6)/1. Suppose 0 = 34*s - 35*s + 2. Let 1/2*a**s - q*a + 0 = 0. What is a?
0, 3
Let j(o) be the first derivative of -o**7/14 - 2*o**6/15 + o**5/30 + o**4/9 - o**3/18 + 14*o + 1. Let t(v) be the first derivative of j(v). Factor t(q).
-q*(q + 1)**2*(3*q - 1)**2/3
Let t(p) = p**3 - 10*p**2 + 8*p + 9. Let k be t(9). Let w = 464/1575 - 2/225. Factor w*u**3 + 0 + k*u - 1/7*u**4 + 3/7*u**2.
-u**2*(u - 3)*(u + 1)/7
Let l(s) be the second derivative of -s**5/80 - s**4/16 - s**3/12 - s - 4. Let l(c) = 0. Calculate c.
-2, -1, 0
Let o be -1 - 1 - (125/(-5))/5. Let i(r) = r**2 + 2*r - 3. Let k be i(2). Factor -5*p + 3*p + 5*p**o + 2*p**3 - k*p**3.
2*p*(p - 1)*(p + 1)
Let q(m) be the third derivative of -m**5/135 + m**4/27 - 2*m**3/27 + 17*m**2 + m. Suppose q(b) = 0. What is b?
1
Let f = 1576547/80 - 19706. Let s = f - 7/16. Find g such that 2/5 - 4/5*g + s*g**2 = 0.
1
Let l(d) be the second derivative of -13/90*d**5 + 0 + 1/2*d**2 + 1/60*d**6 + 6*d - 4/9*d**3 + 4/9*d**4. Let c(v) be the first derivative of l(v). Factor c(a).
2*(a - 2)**2*(3*a - 1)/3
Let a be 24/(-10) + (-13 - (-4 + -12)). Let f(b) be the first derivative of -4/15*b**3 - a*b**2 + 4/5*b + 3/10*b**4 - 3. Find x such that f(x) = 0.
-1, 2/3, 1
Suppose 16*o = 11*o - 110. Let l = o - -113/5. Find t such that 3/5*t**2 - l*t - 6/5 = 0.
-1, 2
Let p(o) be the second derivative of -o**4/3 + 52*o**3/3 + 112*o**2 + 17*o + 3. Factor p(m).
-4*(m - 28)*(m + 2)
Let m(y) be the third derivative of -y**7/945 - 4*y**6/135 + 4*y**5/9 - 64*y**4/27 + 176*y**3/27 + 35*y**2 + 1. Suppose m(c) = 0. Calculate c.
-22, 2
Suppose -2/3*k**5 - 784/3 + 46/3*k**3 + 16/3*k**4 - 268/3*k**2 - 952/3*k = 0. What is k?
-2, 7
Suppose -79*t**4 + 297*t**3 - 40*t + 33*t**3 + 60*t**2 - 96*t**4 = 0. What is t?
-2/5, 0, 2/7, 2
Let y(g) = -2*g**2 - 2*g + 1. Let c(k) = -2*k**4 + 2*k**3 + 100*k**2 - 240*k + 119. Let t(b) = -2*c(b) + 14*y(b). Suppose t(u) = 0. Calculate u.
-8, 1, 7
Let q(z) be the first derivative of z**5/35 + z**4/7 + 2*z**3/21 - 2*z**2/7 - 3*z/7 + 183. Find f, given that q(f) = 0.
-3, -1, 1
Suppose 104*y = 78*y + 43*y. Find g such that -2/11*g - 4/11*g**2 - 2/11*g**3 + y = 0.
-1, 0
Let x = -221 + 223. Let l(w) be the second derivative of -3/4*w**4 + 0 + 3/10*w**5 - 4*w + 1/10*w**6 - 2*w**3 + 6*w**x. Suppose l(v) = 0. Calculate v.
-2, 1
Let n be (9/(-4))/(-9) - 14/(-8). Find w such that 10*w**2 - 4*w**4 - n*w - 6*w**2 + 4*w**3 + 0*w**4 - 2*w = 0.
-1, 0, 1
Suppose 3*t**2 - 12/5 + 12/5*t - 9/5*t**3 = 0. Calculate t.
-1, 2/3, 2
Suppose -3*r - 449 = -1244. Let z = r + -187. Solve -4*f**2 - z*f + 3*f**2 + 77*f = 0 for f.
-1, 0
Let z(x) = x**3 + 29*x**2 + 33*x + 144. Let s be z(-28). Determine f, given that 10*f**s + 78/7*f**3 + 0 - 8/7*f + 0*f**2 = 0.
-1, -2/5, 0, 2/7
Factor -40/7*i**3 + 2/7*i**4 + 284/7*i**2 - 120*i + 126.
2*(i - 7)**2*(i - 3)**2/7
Let j(g) be the second derivative of -g**6/60 + g**5/40 + g**4/12 - g + 88. Factor j(s).
-s**2*(s - 2)*(s + 1)/2
Let v(n) be the first derivative of n**3/3 + 61*n**2 + 3721*n + 189. Factor v(r).
(r + 61)**2
Let m = 139 - -122. Let u be (-8)/18 + 638/m. Find l, given that -28*l**3 + 16/3 - 116/3*l**u - 16/3*l = 0.
-1, -2/3, 2/7
Let n = -4096 - -8195/2. Determine p so that n*p - 3/2*p**2 + 1/2*p**3 - 1/2 = 0.
1
Let l = 811 + -550. Let t be 4 - -1 - l/58. Factor -t*g - 1/2*g**2 + 0.
-g*(g + 1)/2
Let j(r) be the second derivative of -r**7/1120 - r**6/160 - r**5/80 - 7*r**3/6 + 8*r. Let l(i) be the second derivative of j(i). Factor l(p).
-3*p*(p + 1)*(p + 2)/4
Let j(m) be the third derivative of -m**6/660 + m**4/11 - 16*m**3/33 - 40*m**2. Determine f, given that j(f) = 0.
-4, 2
Factor 105*v + 12*v**2 + 0*v**3 - 42*v - 4*v**4 - 28*v**3 + 157*v - 200.
-4*(v - 2)*(v - 1)*(v + 5)**2
Let q be 7076/145*(-2)/8 + 13. Factor 8/5*r**3 + 0*r + 0 + r**4 + q*r**2 + 1/5*r**5.
r**2*(r + 1)*(r + 2)**2/5
Let l(f) be the first derivative of -1/6*f**6 - 16 + 0*f - 3/5*f**5 - 1/4*f**4 + f**3 + f**2. Solve l(o) = 0 for o.
-2, -1, 0, 1
Let m(r) = r - 1. Let b be m(6). Let z = -52227 + 156685/3. Find w such that -8/9*w**3 - 4/9*w + z*w**b + 16/9*w**4 + 0 - 16/9*w**2 = 0.
-1, -1/3, 0, 1
Determine r, given that -6 - 9/2*r - 3/4*r**2 = 0.
-4, -2
Let k(t) be the second derivative of t**6/240 + t**5/80 + t**4/96 - 11*t**2/2 - 11*t. Let p(g) be the first derivative of k(g). Find f such that p(f) = 0.
-1, -1/2, 0
Factor 3*h**3 - 75 - 13*h**3 - 33*h**2 + h**3 + 6*h**3 - 105*h.
-3*(h + 1)*(h + 5)**2
Let y(l) be the first derivative of -3*l**5 + 5*l**2 + 0*l - 5/6*l**6 - 5/4*l**4 + 8 + 