+ 17*o + 9. Let a(t) = 0. What is t?
-6, -2, 0, 1
Let s(h) be the first derivative of -h**7/147 - h**6/21 - 4*h**5/35 - 2*h**4/21 + 9*h - 36. Let f(o) be the first derivative of s(o). Let f(y) = 0. Calculate y.
-2, -1, 0
Suppose 28*y - 31*y + 87 = 0. Let k = y - 27. Determine q, given that -q**2 + k*q**2 + 3*q**2 - 8*q = 0.
0, 2
Let s(p) = -p. Let c(z) = z**3 - z**2 - 9*z + 8. Let x be c(3). Let t(a) = 2*a**2 + 4*a. Let u(d) = x*t(d) - 6*s(d). Factor u(h).
-2*h*(h - 1)
Let u(t) = 5*t**4 - 91*t**3 + 200*t**2 + 1500*t - 6. Let i(c) = c**3 + 1. Let q(a) = 6*i(a) + u(a). Solve q(g) = 0 for g.
-3, 0, 10
Find f, given that 2*f**3 + 0*f**4 + 4/3*f**2 + 0 - 2/3*f**5 + 0*f = 0.
-1, 0, 2
Let n be (-14)/16*(-378)/441. Let l(d) be the first derivative of 0*d - 3/2*d**2 - n*d**4 + 2*d**3 - 4. Suppose l(k) = 0. What is k?
0, 1
Let b(k) be the second derivative of k**7/6300 - k**6/225 + 4*k**5/75 - k**4/12 - 6*k. Let s(m) be the third derivative of b(m). Factor s(h).
2*(h - 4)**2/5
Let t(q) be the second derivative of q**8/8960 + q**7/1680 - q**4/6 + 10*q. Let y(d) be the third derivative of t(d). Factor y(m).
3*m**2*(m + 2)/4
Let f(y) be the third derivative of 12*y**2 + 2/105*y**7 - 1/21*y**4 + 0*y + 1/42*y**3 + 5/84*y**5 + 0 - 1/294*y**8 - 19/420*y**6. Find m such that f(m) = 0.
1/2, 1
Determine i so that -i**5 + 15*i**4 + 9*i**5 + 50*i**3 - 13*i**5 = 0.
-2, 0, 5
Suppose 11*i = 10*i - 4*n + 10, -2*n + 14 = 5*i. Let -1/7*t**3 + 3/7*t + 2/7 + 0*t**i = 0. What is t?
-1, 2
Solve 0*f - 2/5*f**3 + 0 + 4/5*f**2 = 0 for f.
0, 2
Let u(s) be the second derivative of -s**5/160 - 217*s**4/96 - 11663*s**3/48 + 11881*s**2/16 - 889*s. Factor u(n).
-(n - 1)*(n + 109)**2/8
Suppose -21 = -8*u + u. Let 8*r + 36*r**3 + 84*r**4 - 28*r**2 + 4*r**5 + u - 3 - 104*r**4 = 0. What is r?
0, 1, 2
Factor 0 + 1/3*z**3 + 2/3*z - z**2.
z*(z - 2)*(z - 1)/3
Solve 15*p + 9*p - 13 - 3*p**2 - 10 - 13 = 0 for p.
2, 6
Let p(k) be the first derivative of -2*k**5/45 + k**4/18 + 4*k**3/27 - 26. Factor p(g).
-2*g**2*(g - 2)*(g + 1)/9
Factor -2*b**2 - 4/3*b + 0.
-2*b*(3*b + 2)/3
Let c = -148 - -152. Let k(s) be the second derivative of -1/9*s**c + 5/18*s**3 + 0 + 2*s - 1/3*s**2 + 1/60*s**5. Factor k(g).
(g - 2)*(g - 1)**2/3
Let x(r) = -10*r - 4. Let i be x(-6). Factor 45*c + i*c - 2*c**2 - 107*c.
-2*c*(c + 3)
Let l(v) be the third derivative of -v**7/1680 + v**6/1080 - 17*v**3/6 - 22*v**2. Let n(i) be the first derivative of l(i). Factor n(f).
-f**2*(3*f - 2)/6
Let f = -8653 + 8656. Suppose 1/3*g**f + 0 - 1/3*g**2 - 1/3*g**5 + 0*g + 1/3*g**4 = 0. Calculate g.
-1, 0, 1
Let z(p) be the third derivative of -p**8/10080 - 4*p**7/315 - 32*p**6/45 + 7*p**5/10 + p**2 - 2. Let x(f) be the third derivative of z(f). Factor x(k).
-2*(k + 16)**2
Factor 68*n - 5*n**2 + 31 + 34 + 7 + n**2.
-4*(n - 18)*(n + 1)
Let u(i) = i**4 - i**3 + i. Let k(y) = -y**5 + 12*y**4 - 8*y**3 - 44*y**2 + 65*y - 26. Let p(j) = 2*k(j) + 4*u(j). Factor p(b).
-2*(b - 13)*(b - 1)**3*(b + 2)
Find g such that -5/2*g**4 - 11/2*g**3 + 23/2*g**2 + 1 + 2*g**5 - 13/2*g = 0.
-2, 1/4, 1
Let b be (-654)/(-16)*(-32)/24. Let w = b + 55. Let w*q**2 - 1/2 + 0*q = 0. What is q?
-1, 1
Let x(t) = -22*t - 284. Let q be x(-13). Let y(m) be the first derivative of -1/3*m**3 + 1/4*m**4 + m - q - 1/2*m**2. Factor y(r).
(r - 1)**2*(r + 1)
Let n(s) be the second derivative of s**6/6 - 23*s**5/4 + 196*s. Suppose n(j) = 0. Calculate j.
0, 23
Let o(d) be the first derivative of 6/95*d**5 + 1/19*d**4 + 0*d + 14 + 1/57*d**6 + 0*d**2 + 0*d**3. Let o(w) = 0. What is w?
-2, -1, 0
Let s(n) = n**3 - 18*n**2 - 19*n + 4. Let p be s(19). Factor -223*v + 114*v - 7*v**2 + 112*v + 5*v**3 - v**p.
-v*(v - 3)*(v - 1)**2
Let d(c) be the first derivative of 2/15*c**3 - 23 + 14/25*c**5 + 0*c**2 - 4/5*c**4 + 0*c. What is w in d(w) = 0?
0, 1/7, 1
Let w = 8 + -3. Let a(q) be the first derivative of -5*q + 6*q + q**3 + 16*q + 1 + 6*q**2 - w*q. Find d such that a(d) = 0.
-2
Let t(g) be the first derivative of 0 + 0 + g**3 - 3*g**2 + 8. Suppose t(q) = 0. What is q?
0, 2
Let k(o) be the second derivative of -1/14*o**3 + 1/28*o**4 + 0*o**2 - 22*o + 0. Factor k(v).
3*v*(v - 1)/7
Let f = 34290 + -34290. What is i in -1/4*i**2 + f + 1/4*i = 0?
0, 1
Suppose -35*a + 39*a = 12. Suppose -30*z**3 + 5*z**2 - a*z**2 + 31*z**3 = 0. Calculate z.
-2, 0
Let i(t) = -4*t + 2. Let g = 0 + 0. Let v be i(g). Solve 8*h + 36*h**v - 82 + 28*h**3 + 82 = 0.
-1, -2/7, 0
Let w(t) = -10*t**2 + 198*t - 3. Let y(m) = -12*m**2 + 200*m - 4. Let p(s) = -4*w(s) + 3*y(s). Determine i so that p(i) = 0.
0, 48
Let p = 1961 - 1961. Factor p*u + 1/6*u**3 + 0 + 1/3*u**2.
u**2*(u + 2)/6
Let n = 52 - -66. Let w = -352/3 + n. Solve -w*s**2 + 4/3*s + 0 = 0 for s.
0, 2
Suppose -d - 17 = -6*c + c, 4*d = c + 8. Let w be (3 + -3)/(c + -2). Determine l so that 2/3*l**2 + w - 2/3*l**4 - 2/3*l**3 + 2/3*l = 0.
-1, 0, 1
Let h be ((-11)/22)/(1*2/(-12)). Let k(w) be the third derivative of 0*w**5 - 3*w**2 + 0 + 1/35*w**7 + 0*w**h + 0*w**6 + 0*w + 0*w**4 - 1/112*w**8. Factor k(r).
-3*r**4*(r - 2)
Factor 24*m**2 - m**4 + 18*m**2 - 8*m**3 - 47*m**2 + 50*m.
-m*(m - 2)*(m + 5)**2
Solve -12*q**3 + 40*q + 30*q**2 + 32*q**3 - 15*q**3 = 0 for q.
-4, -2, 0
Let v(t) be the third derivative of 7/12*t**5 + 5/42*t**7 + 0 + 3/8*t**6 + 5/336*t**8 + 5/12*t**4 + 0*t**3 + 24*t**2 + 0*t. Determine r, given that v(r) = 0.
-2, -1, 0
Let g(m) be the first derivative of 3*m - m**3 - 3/2*m**2 - 8 + 3/4*m**4. Factor g(k).
3*(k - 1)**2*(k + 1)
Let i(j) = -j**4 + 4*j**3 - 11*j**2 + 12*j - 4. Let z(n) = n**3 - n**2. Suppose 13*l = 6*l - 28. Let o(w) = l*z(w) - 2*i(w). Let o(t) = 0. Calculate t.
1, 2
Suppose v = 3*w - 9, 2*w + 3*v = -w - 3. Suppose 5*i + 5*i + i**w - 6*i**2 = 0. What is i?
0, 2
Let s(j) be the second derivative of 3*j**7/14 + 2*j**6/5 - 3*j**5/20 - j**4/2 - 3*j - 3. Factor s(z).
3*z**2*(z + 1)**2*(3*z - 2)
Let b = 3023/12 + -632/3. Let d = b + -41. Factor 1/4*q + 1/4*q**2 - 1/4*q**3 - d.
-(q - 1)**2*(q + 1)/4
Determine k so that -8/3*k - 8 + 2/3*k**2 = 0.
-2, 6
Suppose -104*m - 54 + 141 = -121. Suppose 0 - 1/10*k**m - 4/5*k = 0. Calculate k.
-8, 0
Solve 60/7 + 2/7*w**2 - 34/7*w = 0.
2, 15
Let w(y) = y**3 - y**2 - y + 1. Let a(p) = -3*p**4 + 18*p**3 - 90*p**2 + 114*p - 18. Let k(i) = -a(i) - 18*w(i). Let k(m) = 0. Calculate m.
0, 2, 8
Let t(v) = 10*v**3 - 16*v**2 + 30*v + 4. Let x = -15 - -21. Let s(w) = 2*w**3 - 3*w**2 + 6*w + 1. Let c(a) = x*t(a) - 28*s(a). Factor c(g).
4*(g - 1)**3
Let h = -313 + 313. Let c(o) be the third derivative of 0 - 2/21*o**3 + 1/84*o**4 + 1/210*o**5 + 5*o**2 + h*o. Let c(y) = 0. What is y?
-2, 1
Let k = -35 - -42. Suppose k*c + 6*c - 78 = 0. Factor -c + 6*j - 3/2*j**2.
-3*(j - 2)**2/2
Let f(j) be the second derivative of 5*j**7/42 + 9*j**6/2 + 53*j**5 + 200*j**4/3 - 2000*j**3 + 5000*j**2 + 41*j + 3. Find l such that f(l) = 0.
-10, 1, 2
Let o(i) be the second derivative of i**6/40 - i**4/8 + 23*i**2/2 + 24*i. Let j(a) be the first derivative of o(a). Determine t, given that j(t) = 0.
-1, 0, 1
Let s = -124559833/605920 - 1/86560. Let h = s + 206. Factor 3/7*w**2 - h - 3/7*w + 3/7*w**3.
3*(w - 1)*(w + 1)**2/7
Factor 56/13*h + 50/13*h**3 + 2/13*h**5 - 76/13*h**2 - 16/13 - 16/13*h**4.
2*(h - 2)**3*(h - 1)**2/13
Factor -28*g**2 - 1600/3 + 320*g + 2/3*g**3.
2*(g - 20)**2*(g - 2)/3
Factor -3*r**5 + 4*r**5 - 3*r**4 - r**3 + 4*r + 321*r**2 - 4*r**3 - 318*r**2.
r*(r - 4)*(r - 1)*(r + 1)**2
Let l(m) = -3*m**2 - 191*m - 378. Let h(x) = 6*x**2 + 383*x + 756. Let s(i) = -4*h(i) - 7*l(i). What is a in s(a) = 0?
-63, -2
Let w(m) be the second derivative of 0*m**4 + 1/9*m**3 + 0 - 1/30*m**5 - m + 0*m**2. Factor w(z).
-2*z*(z - 1)*(z + 1)/3
Factor 84/5*l + 33/5*l**2 + 3/5*l**3 + 0.
3*l*(l + 4)*(l + 7)/5
Let h(g) be the third derivative of 10/3*g**3 - 1/12*g**5 - 11*g**2 + 0 + 0*g**4 + 0*g. Determine m so that h(m) = 0.
-2, 2
Let n(u) = 28*u - 1816. Let s be n(65). Find j, given that 0 + 0*j - 1/3*j**5 - 1/3*j**2 + 1/3*j**3 + 1/3*j**s = 0.
-1, 0, 1
Let l be ((-18)/(-8))/(2835/1512). Let 0*j**2 + 6/5*j - 3/5 - l*j**3 + 3/5*j**4 = 0. What is j?
-1, 1
Factor -81*c**2 + 52*c**2 - 54 - 105*c + 3*c**3 - 19*c**2.
3*(c - 18)*(c + 1)**2
Let c(q) be the first derivative of -q**6/30 - q**5/25 + q**4/20 + q**3/15 - 68. Factor c(b).
-b**2*(b - 1)*(b + 1)**2/5