the third derivative of 1/20*t**u + 1/30*t**5 + 2*t**2 + 0*t + 0 - 1/3*t**3 - 1/4*t**4. Solve d(h) = 0.
-1, -1/3, 1
Let w(g) be the second derivative of g**6/15 + g**5/2 + g**4/2 - 3*g**3 + 48*g. Solve w(f) = 0 for f.
-3, 0, 1
Let -38/7*v + 8/7*v**2 - 10/7 = 0. Calculate v.
-1/4, 5
Let y(b) be the first derivative of b**6/120 + 3*b**5/80 + b**4/16 + b**3/24 + 3*b - 1. Let p(t) be the first derivative of y(t). Find w such that p(w) = 0.
-1, 0
Let g be (-8)/(-3) + (-3 - (6 - 7)). Let q(y) be the first derivative of -y + 2/3*y**3 + 2*y**2 + 1 + g*y**6 - 1/5*y**5 - 2*y**4. Find p such that q(p) = 0.
-1, 1/4, 1
Let n(t) be the second derivative of -t**4/24 + 13*t**3/6 - 169*t**2/4 - 18*t. What is v in n(v) = 0?
13
Let x be (-11)/(-6)*(-2 + 3). Let q = 7/3 - x. Factor -q - 9/2*b**2 + 3*b.
-(3*b - 1)**2/2
Let l(u) be the first derivative of -u**3/6 + 3*u**2/2 + 7*u/2 - 2. Factor l(q).
-(q - 7)*(q + 1)/2
Find p, given that -1/3*p**2 - 2/3*p**3 + 0 - 1/3*p**4 + 0*p = 0.
-1, 0
Let r(w) = w + 1. Let s be r(12). Let z be (s/(-52))/((-2)/4). Factor -z - 2*i - 1/2*i**4 - 3*i**2 - 2*i**3.
-(i + 1)**4/2
Let h(k) = -8*k**4 - 3*k**3 + 2*k**2 + 3*k + 3. Let j(z) = z**3 + z + 1. Let o(m) = h(m) - 3*j(m). Solve o(y) = 0 for y.
-1, 0, 1/4
Let c(r) = -5*r**2 + 5*r. Let n(m) = m**2 - m. Let l = -2 - 2. Suppose -q + 2 = 3. Let g(t) = l*n(t) + q*c(t). Solve g(z) = 0.
0, 1
Let a = 64 - 191/3. Factor 1/3*g + a*g**2 + 0.
g*(g + 1)/3
Let n(l) = -4*l + 28. Let i be n(7). Factor 0 - 1/5*v**3 + i*v - 1/5*v**2.
-v**2*(v + 1)/5
Let u(d) be the first derivative of d**4/12 - 5*d**3/9 + 7*d**2/6 - d + 5. Factor u(g).
(g - 3)*(g - 1)**2/3
Let 0 - 2*l**2 + 5/2*l**3 + 1/2*l - l**4 = 0. Calculate l.
0, 1/2, 1
Let r(t) be the second derivative of -9*t**5/20 + t**4/2 - 14*t. Factor r(a).
-3*a**2*(3*a - 2)
Let a be -26*(-7)/((-63)/(-6)). Let q = a - 17. Solve 2/3*d + 0*d**2 - 2/3*d**3 - 1/3 + q*d**4 = 0.
-1, 1
Let c(s) be the second derivative of s**6/140 - s**5/105 - s**4/84 - s**2/2 + 4*s. Let k(m) be the first derivative of c(m). Let k(h) = 0. Calculate h.
-1/3, 0, 1
Factor 24/7*f**4 + 0*f + 0 - 4/7*f**2 + 2*f**5 + 6/7*f**3.
2*f**2*(f + 1)**2*(7*f - 2)/7
Let -8 - 9*l + 32*l - 36*l**2 - 15*l + 36*l = 0. Calculate l.
2/9, 1
Suppose -323*h + 314*h = -18. Factor -2/3 - 1/3*s**3 + 0*s**h + s.
-(s - 1)**2*(s + 2)/3
Factor 2*v**2 + 23*v - 23*v + 0*v**2 - 2*v**3.
-2*v**2*(v - 1)
Suppose 4*d = 3*d + 2. What is s in -11*s**d + 45*s**2 - 20*s + 2 + 16*s**2 = 0?
1/5
Let q(m) be the first derivative of -5*m**4/8 - 5*m**3/6 + 5*m**2 + 10*m + 11. Determine u so that q(u) = 0.
-2, -1, 2
Solve 16/3*u**5 - 4/3*u**3 - 14/3*u**2 + 8*u**4 + 2/3 + 0*u = 0 for u.
-1, -1/2, 1/2
Let s = 575/2 - 287. Let 0*a + 1/2*a**2 + 0 + s*a**4 + a**3 = 0. Calculate a.
-1, 0
Let z(a) be the first derivative of a**4/16 - a**3/4 - a + 6. Let r(l) be the first derivative of z(l). Factor r(h).
3*h*(h - 2)/4
Let m(l) = 2*l - 1 + 2*l + 0*l. Let p be m(1). Factor q**2 - 3*q**4 + 4*q**4 + 0*q**3 + 2*q**p.
q**2*(q + 1)**2
Let a(x) be the second derivative of -x**8/560 - x**7/280 - x**3/2 - 7*x. Let b(q) be the second derivative of a(q). Solve b(k) = 0.
-1, 0
Let v(p) be the third derivative of p**5/60 + p**4/24 - 10*p**2. Solve v(d) = 0 for d.
-1, 0
Let g(s) be the first derivative of -6 + 1/5*s**4 - 9/5*s + 3*s**2 + 23/15*s**3. What is q in g(q) = 0?
-3, 1/4
Let m(v) = 3*v + v**3 - 2*v + 0*v**3. Let w(f) = 3*f**3 - f**2 + 2*f. Let n(q) = 4*m(q) - 2*w(q). Factor n(a).
-2*a**2*(a - 1)
Suppose -4*i - 3*p + 9 + 14 = 0, -i - 2*p = -12. Suppose -5*h - c = -15, h + i*c = -0 + 3. Suppose 0*t**h - 2*t**3 + t + 10*t**5 - 9*t**5 = 0. What is t?
-1, 0, 1
Suppose -2*z + 3*o = -z - 5, -1 = -z - o. Let b = z - 0. Factor 3/2*q + 1/2*q**b + 1.
(q + 1)*(q + 2)/2
Let y(p) = p**2 + 51*p. Let o be y(-51). What is d in 3/4*d + 0*d**2 - 3/4*d**3 + o = 0?
-1, 0, 1
Let f(h) be the third derivative of h**6/24 - 5*h**4/8 - 5*h**3/3 + 5*h**2. Factor f(t).
5*(t - 2)*(t + 1)**2
Let s(z) be the first derivative of -3*z**6/2 - 33*z**5/5 - 45*z**4/4 - 9*z**3 - 3*z**2 + 9. Let s(r) = 0. What is r?
-1, -2/3, 0
Suppose 0 = 2*d - 3*l - 129, 0*d - 3*l = -4*d + 255. Solve -d*z + 8*z**4 + 63*z + 4*z**3 = 0.
-1/2, 0
Determine q, given that -2/5*q**2 + 0 + 2/5*q**3 + 0*q = 0.
0, 1
Let n(q) = -12*q**5 + 6*q**4 - 4*q**3 - 4*q**2 + 6*q - 2. Let o(j) = -j**5. Suppose 4 = -5*v - 1. Let b(t) = v*n(t) + 10*o(t). Factor b(h).
2*(h - 1)**4*(h + 1)
Let m = 31649/31694355 - -2/33539. Let l(z) be the third derivative of 0*z + 2*z**2 + 0 + 1/90*z**5 + 1/180*z**6 + 0*z**3 + 1/108*z**4 + m*z**7. Factor l(n).
2*n*(n + 1)**3/9
Let z(v) = v + 6. Let b be z(-4). Factor 5*x**2 + 2*x - b*x**2 + 2 - x**2 + 2*x.
2*(x + 1)**2
Let b = -11/28 + 9/14. Let d be ((-160)/(-96))/((-10)/(-36)). Find m such that -9/4*m**4 + 2*m - b + d*m**3 - 11/2*m**2 = 0.
1/3, 1
Suppose 18 - 3 = 5*b. Let t(u) be the second derivative of 1/6*u**b - 3*u - 1/2*u**2 - 1/10*u**5 - 1/30*u**6 + 1/6*u**4 + 1/42*u**7 + 0. Factor t(f).
(f - 1)**3*(f + 1)**2
Let o(y) be the third derivative of 2*y**7/315 - y**5/15 + y**4/9 - 10*y**2. Solve o(c) = 0 for c.
-2, 0, 1
Let v be (15/(-20))/((-10)/16 + -2). Factor 0*j**2 - 2/7*j + v*j**3 + 0.
2*j*(j - 1)*(j + 1)/7
Let i(m) be the second derivative of -m**8/1176 - m**7/245 - m**6/140 - m**5/210 - 3*m**2/2 + 3*m. Let n(y) be the first derivative of i(y). Solve n(q) = 0.
-1, 0
Factor -5*w**2 - 13*w**3 + 24*w + 3*w**4 + 7*w**3 - 7*w**2.
3*w*(w - 2)**2*(w + 2)
Let t(q) = 8*q**2 + 16*q - 3. Let g = -6 - -12. Let a(b) = 4*b**2 + 8*b - 2. Let f(k) = g*t(k) - 11*a(k). Factor f(j).
4*(j + 1)**2
Let y(r) be the third derivative of -1/140*r**5 - 1/840*r**6 - 1/42*r**3 + 0 - r**2 + 0*r - 1/56*r**4. Factor y(i).
-(i + 1)**3/7
Suppose 6/13*w**2 + 2/13 + 6/13*w + 2/13*w**3 = 0. What is w?
-1
Let o be (-1)/((-2)/4) + 0. Suppose -2*d + 0*d + o = 0. Determine n so that -n**2 - d + 3*n**2 - n**4 + 0*n**4 = 0.
-1, 1
Let p(n) be the first derivative of -4*n + 2 + 4/3*n**3 - 2*n**2 + n**4. Factor p(x).
4*(x - 1)*(x + 1)**2
Let m = 77 + -74. Let q(c) be the first derivative of 2/7*c**2 + 3 + 0*c + 2/21*c**m. Factor q(n).
2*n*(n + 2)/7
Let z(g) = g**3. Let a(v) = -16*v**2 - 20*v - 8. Let t(p) = -a(p) + 4*z(p). Solve t(w) = 0 for w.
-2, -1
Let a be (-3)/(-1 + -2)*3. Let t(b) = -b**2 + 5*b - 2. Let j be t(a). Factor i**j - 2*i**3 + i**2 + 5*i - 5*i.
i**2*(i - 1)**2
Let g be (1 + -1 + 0)*-1. Suppose -2*a = -g*a. Factor a*o**2 + o**2 + 0*o - o.
o*(o - 1)
Solve 3 + 1/4*a**5 + 1/4*a**4 - 9/4*a**3 - 13/4*a**2 + 2*a = 0 for a.
-2, -1, 1, 3
Let t(o) be the third derivative of o**5/24 + 5*o**4/24 - 10*o**3/3 - 31*o**2. What is f in t(f) = 0?
-4, 2
Factor 260/11*p**4 + 50/11*p**5 - 224/11*p + 368/11*p**3 - 32/11*p**2 + 64/11.
2*(p + 2)**3*(5*p - 2)**2/11
Let w(h) = -17*h + 3. Let f be w(0). Suppose -5*o = -10*o. What is s in -s**2 + o + s + 1/4*s**f = 0?
0, 2
Let i be (-6 + 3 - -5) + -2. Let z(w) be the third derivative of i*w**4 - 1/75*w**5 + 0 + 0*w**3 + w**2 + 0*w - 1/300*w**6 + 1/175*w**7. Solve z(t) = 0.
-2/3, 0, 1
Suppose -2*s = 4, 4*s - 10 = 2*x + 3*s. Let o be x/36 + 1/2. Find q, given that q - o*q**2 - 2/3 = 0.
1, 2
Let c be (-5)/(-2) + (-1)/2. Suppose 0 = -5*h + 4*f - 2 - 6, h = -f + c. Determine l, given that 2*l**4 - 4*l**3 + 2*l**2 + h + 0 = 0.
0, 1
Factor -12/7 - 2*w + 2/7*w**3 + 0*w**2.
2*(w - 3)*(w + 1)*(w + 2)/7
Let i(x) be the first derivative of 2*x**3/3 + 2*x**2 + 2*x + 5. Factor i(v).
2*(v + 1)**2
Let m be (-1)/(-5) + (-17)/((-1020)/8). Let z(k) = -k**2 + 7*k - 7. Let h be z(5). Factor 0 - m*s**4 + 1/3*s**h + 1/3*s**2 - 1/3*s**5 + 0*s.
-s**2*(s - 1)*(s + 1)**2/3
Solve 4/7*l**2 - 8/7*l**3 + 6/7*l + 0*l**4 + 2/7*l**5 - 4/7 = 0.
-2, -1, 1
Let c(w) = -5*w - 30. Let g be c(-7). Let p be -2*1*(-15)/6. Determine j, given that -3*j**g + j**5 + j**p + j**4 = 0.
0, 1
Suppose -105*z + 84*z = 0. What is t in z - 2/3*t + 2/3*t**2 = 0?
0, 1
Let v(d) be the third derivative of 0*d**7 - 1/1680*d**8 + 0*d**3 + 0*d + 0*d**5 + 1/300*d**6 - 1/120*d**4 + 0 + 10*d**2. Factor v(r).
-r*(r - 1)**2*(r + 1)**2/5
Suppose 0*i + 4 = 2*i. Factor -6 + l**2 - 3*l + i + 6.
(l - 2)*(l - 1)
Let q(c) be the second derivative of c**4/24 + 11*c**3/12 - 4*c - 3. What is x in q(x) = 0?
-11, 0
Let k be 30/180 - (-2)/12. Factor -k*z**3 + 