c(m) + 3*q(m). Factor u(b).
5*b*(b + 2)
Let a = -7 + 6. Let r(w) = 3*w - 1. Let f(i) = -i**2 - i + 1. Let b(v) = a*f(v) - r(v). Factor b(z).
z*(z - 2)
Let y be (-9 - 114/(-12))*(-4)/(-22). Let h(c) be the first derivative of 0*c**3 + y*c**4 + 0*c**2 + 1/33*c**6 - 4 + 0*c + 6/55*c**5. Factor h(i).
2*i**3*(i + 1)*(i + 2)/11
Factor 25/12*w + 1/12*w**2 + 23/6.
(w + 2)*(w + 23)/12
Let d be (-2 - 1)/((-75)/100). Let 3*w**d + w**2 + 1513*w**3 - 1519*w**3 + 2*w**2 = 0. Calculate w.
0, 1
What is h in 629*h - 4*h**2 + 0*h**2 + h**2 + h**2 - 641*h - 18 = 0?
-3
Let v(a) be the second derivative of -4*a**7/21 - 8*a**6/15 - a**5/2 - a**4/6 - a + 2. What is z in v(z) = 0?
-1, -1/2, 0
Factor -3/8*q**2 + 6 - 9/4*q.
-3*(q - 2)*(q + 8)/8
Let i be (-10)/95 + (-846)/(-95) + -7. Solve 3/5*r**3 - 3*r**2 - i + 21/5*r = 0 for r.
1, 3
Let u(m) be the second derivative of -m**7/42 + m**6/10 - 3*m**5/20 + m**4/12 - m - 2. Solve u(x) = 0 for x.
0, 1
Let k be 14/(-6 - -9 - -4). Find g, given that 2/3*g - 8/3*g**k + 2/3*g**5 + 0 + 4*g**3 - 8/3*g**4 = 0.
0, 1
Let w(p) = -p**3 - 9*p. Let r be w(0). Let d(c) be the first derivative of r*c**3 + 0*c - 1/8*c**4 + 1/3*c**2 + 1/30*c**5 - 7. Factor d(u).
u*(u - 2)**2*(u + 1)/6
Let j = -10670/91 + 1658/13. Factor 2/7*g**2 + j - 24/7*g.
2*(g - 6)**2/7
Let v(g) = 10*g**2 + 30*g - 7. Let q(u) = 61*u**2 + 178*u - 41. Let t(o) = 6*q(o) - 34*v(o). Solve t(n) = 0 for n.
-2, 2/13
Let f(y) = -14*y**3 - 11*y**2 + 15*y + 12. Let v(r) = r**2 + r. Let k(s) = -2*f(s) + 10*v(s). Factor k(j).
4*(j + 1)**2*(7*j - 6)
Let t(r) = 7*r**4 - 18*r**3 + 27*r**2 - 10*r - 2. Let g(b) = 15*b - 36*b**4 + 89*b**3 + 19 + 35*b - 8 - 136*b**2. Let u(w) = 2*g(w) + 11*t(w). Solve u(f) = 0.
0, 1, 2
Let a(o) be the first derivative of -6 - 2/21*o**3 - 1/14*o**4 + 0*o**2 + 0*o. Factor a(t).
-2*t**2*(t + 1)/7
Let r(c) be the second derivative of 7*c**5/4 + 475*c**4/12 - 395*c**3/3 - 300*c**2 - 14*c + 11. Determine x so that r(x) = 0.
-15, -4/7, 2
Let q be (-2)/(-5) - 16/(-10). Let b be (-4 - 20/(-4))*q. Factor 2/9*p**b - 2/3*p**5 + 0 + 0*p - 10/9*p**3 + 14/9*p**4.
-2*p**2*(p - 1)**2*(3*p - 1)/9
Suppose -101*y + 165 = -138. Factor 0*u**2 - 1/2*u**y + 0 + 0*u + 9/4*u**4 - 7/4*u**5.
-u**3*(u - 1)*(7*u - 2)/4
Let a(n) be the second derivative of 0 + 11/42*n**4 + 7*n + 9/70*n**5 + 1/30*n**6 + 13/42*n**3 + 3/14*n**2 + 1/294*n**7. Factor a(b).
(b + 1)**4*(b + 3)/7
Factor 216/11*d**2 + 0 - 36/11*d**3 - 432/11*d + 2/11*d**4.
2*d*(d - 6)**3/11
Let w(g) be the second derivative of g**5/5 - g**4 + 4*g**3/3 + g + 2. Factor w(j).
4*j*(j - 2)*(j - 1)
What is z in -1546*z - 10*z**2 - 17*z**2 - 26*z**3 + z**4 + 1546*z = 0?
-1, 0, 27
Let s(i) = i**2 - i. Let g(h) = 10*h**2 - 5*h + 15. Let n = 4 + -18. Let t = 29 + n. Let v(x) = t*s(x) - g(x). Find a, given that v(a) = 0.
-1, 3
Let b = 368 + -363. Let w(k) be the third derivative of k**2 + 0*k + 1/20*k**6 + 0*k**3 + 1/70*k**7 + 0 - 1/20*k**b - 1/4*k**4. Find v, given that w(v) = 0.
-2, -1, 0, 1
Let g = 21 - 3779/180. Let x(d) be the third derivative of 0 + 0*d + g*d**5 + 0*d**3 - 2*d**2 + 1/72*d**4. Find r, given that x(r) = 0.
-1, 0
Let l(z) be the third derivative of z**5/90 + 3*z**4/4 + 26*z**3/9 + 426*z**2. Solve l(q) = 0.
-26, -1
Suppose -3*t + 24 = -21. Let v be (-1)/1 - t/(-10). Factor 1/2*u**3 + u**2 - v*u - 1.
(u - 1)*(u + 1)*(u + 2)/2
Let w(d) = 20*d**2 - 2*d + 6. Let j(t) = -7*t**2 + t - 2. Suppose 0 = 3*z - 2*z + 3*q - 20, -5 = -q. Let x(g) = z*w(g) + 14*j(g). Factor x(i).
2*(i + 1)**2
Let j(x) be the first derivative of -x**6/4 + 3*x**5/2 - 21*x**4/8 + 3*x**3/2 - 42. Solve j(b) = 0.
0, 1, 3
Let m = 24 + -21. Factor -10*r**2 + 4*r**2 + m*r**3 - 10*r + 13*r.
3*r*(r - 1)**2
Let k(x) be the third derivative of -x**9/241920 - x**8/40320 + x**7/6720 + x**5/12 + 17*x**2. Let l(g) be the third derivative of k(g). Factor l(b).
-b*(b - 1)*(b + 3)/4
Let q be (-7 + 10)*(2 + 1). Factor 3*h**3 + 6*h - 17*h**2 - q*h**2 + 17*h**2.
3*h*(h - 2)*(h - 1)
Let z = -60 + 61. Let g(l) be the first derivative of 1/3*l**3 + l - z - l**2. Solve g(n) = 0.
1
Let t(m) be the first derivative of -m**8/3360 - m**7/560 + m**5/60 - 5*m**3/3 - 4. Let v(d) be the third derivative of t(d). Factor v(b).
-b*(b - 1)*(b + 2)**2/2
Factor 15*a**4 + 6*a + 5*a**5 - 728*a**2 + 27*a**3 - 2*a**5 + 749*a**2.
3*a*(a + 1)**3*(a + 2)
Let w(f) be the second derivative of f**4/36 - 16*f**3/9 - 229*f. Factor w(s).
s*(s - 32)/3
Let f(t) be the third derivative of t**10/7200 - t**9/4032 - t**8/3360 + t**5/6 - 5*t**2. Let p(a) be the third derivative of f(a). Solve p(o) = 0.
-2/7, 0, 1
Let d(v) be the third derivative of -v**7/10080 - v**6/720 - v**4/4 - 21*v**2. Let c(i) be the second derivative of d(i). Solve c(m) = 0.
-4, 0
Let q(r) be the third derivative of 16*r**2 - 2/3*r**3 + 0 + 1/4*r**4 + 4/15*r**5 + 1/20*r**6 + 0*r. Solve q(n) = 0 for n.
-2, -1, 1/3
Let l(s) be the second derivative of -4/3*s**4 + 0*s**2 - 21*s + 1/5*s**5 + 0 + 2/15*s**6 - 8/3*s**3. Factor l(k).
4*k*(k - 2)*(k + 1)*(k + 2)
Suppose 3*s - 180 = -0. Let h be 114/s + (-2)/5. Factor 3 + h*x - 3/2*x**2.
-3*(x - 2)*(x + 1)/2
Let q(d) = 0*d + 5*d - d**3 + 1 + 1 + 4*d**2. Let i be q(5). Factor 8*u**2 - 4*u**2 + 4*u + 3*u**3 + 0*u**i - 7*u**3 - 4.
-4*(u - 1)**2*(u + 1)
Let s(x) be the first derivative of -x**7/525 + x**6/150 - x**4/30 + x**3/15 - 5*x**2 - 3. Let p(y) be the second derivative of s(y). Factor p(m).
-2*(m - 1)**3*(m + 1)/5
Let y(x) be the second derivative of -x**6/10 + 3*x**5/10 + 3*x**4/4 + 42*x. Solve y(v) = 0 for v.
-1, 0, 3
Suppose 320*x + 219 + 2464 + 5*x**2 + 2437 = 0. What is x?
-32
Let l = -1639/8 + 205. Let h(m) be the second derivative of 0 - 1/2*m**2 + l*m**3 - 8*m + 1/48*m**4. Factor h(p).
(p - 1)*(p + 4)/4
Let t(q) be the second derivative of q**6/6 + q**5/2 - 5*q**4 + 35*q**3/3 - 25*q**2/2 + 103*q + 1. Suppose t(f) = 0. Calculate f.
-5, 1
Let w = 134 - 116. Suppose -14*m + w*m = 8. Determine r so that 0*r**m + 2/5*r**3 - 2/5*r**4 + 0*r + 0 = 0.
0, 1
Let v = 17 - 6. Let j(s) = -2 - 1 + 2*s + 4 - 14*s**2 + v*s**2. Let i(f) = -16*f**2 + 11*f + 5. Let t(h) = 2*i(h) - 11*j(h). Solve t(u) = 0 for u.
-1, 1
Let o be -20*(8/(-2) + (-4366)/(-1110)). Suppose -1/3*r**3 + 0 + 4/3*r**2 - o*r = 0. Calculate r.
0, 2
Let t(g) = g**2. Suppose 8 = -7*s - 6. Let o(z) = -3*z - 10. Let i(m) = s*o(m) - 2*t(m). Determine p so that i(p) = 0.
-2, 5
Factor -7*q**2 + 10*q**2 + 21*q**4 - q**5 - 2*q**2 + 22*q**3 - q**2.
-q**3*(q - 22)*(q + 1)
Suppose a + 3*h = 8 - 7, 4*a - 15 = -h. Let l(b) be the third derivative of 0 - 1/16*b**a + 11*b**2 + 1/120*b**5 + 0*b + 1/6*b**3. Factor l(c).
(c - 2)*(c - 1)/2
Let h(b) = 242*b**5 + 1841*b**4 - 696*b**3 + 57*b**2 - 7. Let x(t) = 242*t**5 + 1842*t**4 - 696*t**3 + 58*t**2 - 6. Let l(u) = 6*h(u) - 7*x(u). Factor l(w).
-2*w**2*(w + 8)*(11*w - 2)**2
Let c(s) be the second derivative of -s**5/5 - s**4/3 + 4*s + 12. Suppose c(u) = 0. What is u?
-1, 0
Let p(t) be the third derivative of 0*t**4 + 5*t**2 + 2/15*t**6 + 0*t + 1/1008*t**8 - 2/105*t**7 + 0*t**3 + 0 - 16/45*t**5. Let p(z) = 0. Calculate z.
0, 4
Suppose -2/5*i**2 + 24/5 + 22/5*i = 0. What is i?
-1, 12
Suppose -78 + 89*c + 102*c + 1205*c**2 - 1195*c**2 = 0. Calculate c.
-39/2, 2/5
Factor 1/4*i**4 + 1/2*i**3 - 27/4*i**2 - 7 + 13*i.
(i - 2)**2*(i - 1)*(i + 7)/4
Let y(s) = 3*s**4 - 15*s**3 + 6*s**2 + 6. Let x be 144/10 - 4/10. Let a = x - 20. Let k(b) = -b**3 + 1. Let r(c) = a*k(c) + y(c). Factor r(m).
3*m**2*(m - 2)*(m - 1)
Find d, given that 56*d**2 + 21*d**3 + 97*d - 169*d - 16*d**4 + 7*d**3 + 84*d = 0.
-1, -1/4, 0, 3
Suppose -2*k = -8*k + 4*k. Factor 128*m**4 - 3*m - 129*m**4 + 1 + 2*m**3 + m + k.
-(m - 1)**3*(m + 1)
Let j(g) be the first derivative of -g**5/60 - g**4/8 - g**3/3 + 3*g**2/2 - 3. Let d(w) be the second derivative of j(w). Factor d(o).
-(o + 1)*(o + 2)
Let v(k) be the first derivative of -4*k**4 - 32*k**3/3 + 22*k**2 - 12*k + 148. Solve v(d) = 0 for d.
-3, 1/2
Let t be 330/600 - 1/2. Let r(x) be the first derivative of -1/16*x**4 - t*x**5 + 0*x**2 - 2 + 1/24*x**6 + 1/12*x**3 + 0*x. Factor r(m).
m**2*(m - 1)**2*(m + 1)/4
Suppose 17 = -i + 2*i + 5*z, -i = -z + 1. Let 8*l**2 - l**2 - i*l**4 + 15*l**3 + 3*l**2 + 7*l**4 = 0. What is l?
-2, -1, 0
Let h(t) be the first derivative of -36*t - 120*t**2 - 36*t**4 + 12 -