**4 + 0*c**4 + 3*c**4 + 5*c - 3*c**3 - 3*c**2 - 6*c.
-c*(c + 1)**3
Let g(f) be the first derivative of -f**4/14 - 4*f**3/21 - 18. Find z such that g(z) = 0.
-2, 0
Let v = 17 + -12. Suppose -3*p = 3*s - 9, 2*p = v*s - 4 - 4. Factor 0 - 2/5*z**s + 4/5*z.
-2*z*(z - 2)/5
Let x(m) = m**2 - 1. Let j(k) = -6*k**3 + 5*k**2 - 2*k + 3. Let l(z) = -j(z) - 5*x(z). Solve l(g) = 0 for g.
-1/3, 1
Let s(o) = 6*o**3 - 13*o**2 - 6*o + 18. Let r(i) = -3*i**3 + 7*i**2 + 3*i - 9. Let k(w) = -5*r(w) - 2*s(w). Suppose k(g) = 0. Calculate g.
-1, 1, 3
Suppose -1 = -p + 3. Solve p*t**3 + 3*t**2 - 16*t**3 - 9*t**4 + 2*t + 4*t = 0 for t.
-1, 0, 2/3
Let k be (-4)/((-64)/(-38)) - -2. Let b = 17/24 + k. Factor b*j - 2/3 + 1/3*j**2.
(j - 1)*(j + 2)/3
Let r = 1518/3845 - -4/769. Factor r*t**2 - 1/5 + 0*t**3 + 0*t - 1/5*t**4.
-(t - 1)**2*(t + 1)**2/5
Let a(z) be the third derivative of -z**8/84 + 2*z**7/105 + z**6/10 - z**5/15 - z**4/3 - 7*z**2. Let a(l) = 0. What is l?
-1, 0, 1, 2
Let a(i) be the second derivative of -3/20*i**5 + 0*i**2 - 2*i - 1/12*i**4 + 0 + 0*i**3. Factor a(s).
-s**2*(3*s + 1)
Let k(w) be the first derivative of w**7/840 + w**6/360 + 2*w**3/3 - 4. Let y(c) be the third derivative of k(c). Let y(f) = 0. What is f?
-1, 0
Let z(t) be the third derivative of -t**7/735 + 3*t**6/140 - 4*t**5/35 + 4*t**4/21 + 71*t**2. Factor z(g).
-2*g*(g - 4)**2*(g - 1)/7
Factor -1/3*o + 1/2 - 1/6*o**2.
-(o - 1)*(o + 3)/6
Let d be ((-12)/(-90))/(2 - (-40)/(-25)). Factor -d + 1/6*t + 1/6*t**2.
(t - 1)*(t + 2)/6
Let c = 6 + 3. Suppose o - c = -5*z, -3*z = 4*o - 2*z - 17. Solve -o*g + 3*g**2 + 5*g - 2*g**2 = 0.
-1, 0
Let s be 4/(-10) - (-10)/125*5. Let m(u) be the first derivative of -2/15*u**3 - 4 + 2/5*u + s*u**2. Determine a, given that m(a) = 0.
-1, 1
Let y be 990/616 + (-6)/8. Factor 0 - 4/7*w + y*w**2.
2*w*(3*w - 2)/7
Let p(w) be the second derivative of -w**8/5040 - w**7/2520 - 2*w**3/3 + 3*w. Let f(i) be the second derivative of p(i). Factor f(c).
-c**3*(c + 1)/3
Let i(f) be the third derivative of 1/630*f**7 + 0 + f**2 + 0*f**3 + 0*f + 0*f**4 - 1/1008*f**8 + 1/360*f**6 - 1/180*f**5. What is l in i(l) = 0?
-1, 0, 1
Factor 2 + 24 + 14 - b**2 + 35*b - 4*b**2.
-5*(b - 8)*(b + 1)
Let r(t) be the first derivative of 2*t**3/3 + 4*t**2 + 8*t + 1. Suppose r(j) = 0. What is j?
-2
Let a(t) be the third derivative of t**7/420 - t**6/60 + t**5/20 - t**4/12 + t**3/3 + t**2. Let f(n) be the first derivative of a(n). Factor f(j).
2*(j - 1)**3
What is h in -20*h**2 + 15*h + 40*h - 10 - 10*h + 0 = 0?
1/4, 2
Let s be (2/8)/(3/9). Determine j so that 3/4 + 9/4*j**2 + 9/4*j + s*j**3 = 0.
-1
Let u be (-4)/10 - 13/(-20). Let f(z) = 2*z**2 - 5*z + 4. Let j be f(2). Factor -1/4*w + u*w**j - 1/2.
(w - 2)*(w + 1)/4
Let p be (-32)/(-10) + 26/(-130). Solve 2/5*g**p + 4/5*g**2 - 2/5*g - 4/5 = 0.
-2, -1, 1
Let k(i) be the second derivative of -1/3*i**3 - 1/2*i**2 + 3*i + 0 - 1/12*i**4. Solve k(t) = 0 for t.
-1
Suppose 3*w = -0*w. Let b(d) be the third derivative of -2*d**2 - 3/160*d**6 + 1/3*d**3 - 7/24*d**4 + 1/8*d**5 + 0*d + w. Determine r, given that b(r) = 0.
2/3, 2
Let n be -6*3/9 + 2. Factor 1/5*j**3 - 2/5*j**4 + n*j + 0 + 1/5*j**5 + 0*j**2.
j**3*(j - 1)**2/5
Let l(y) be the third derivative of -1/15*y**3 - 1/525*y**7 + 4*y**2 + 0*y + 0*y**4 + 1/75*y**5 + 0 + 0*y**6. Solve l(c) = 0 for c.
-1, 1
Let o(h) be the first derivative of -h**5/30 - h**4/9 - h**3/9 - 5*h - 8. Let u(q) be the first derivative of o(q). Suppose u(w) = 0. Calculate w.
-1, 0
Let q(k) be the first derivative of k**8/504 - k**6/60 - k**5/45 + 5*k**2/2 - 3. Let x(g) be the second derivative of q(g). Factor x(y).
2*y**2*(y - 2)*(y + 1)**2/3
Let r = -65 - -67. Solve 0*p**3 + 0*p - 2/5*p**r + 0 + 2/5*p**4 = 0 for p.
-1, 0, 1
Let x(l) be the first derivative of -1/24*l**4 + 1/12*l**2 - 1/18*l**3 + 0*l + 1/30*l**5 - 1. Find y such that x(y) = 0.
-1, 0, 1
Suppose -3*o = -4*f - 4*o + 33, -f + 5 = -3*o. Let h = f - 6. Factor -2/5*p**4 + 6/5*p**h - 4/5*p + 0 + 0*p**3.
-2*p*(p - 1)**2*(p + 2)/5
Let k(u) = 9*u**3 - 27*u**2 + 9*u. Let h(m) = -9*m**3 + 28*m**2 - 8*m. Let r(p) = -3*h(p) - 4*k(p). Factor r(f).
-3*f*(f - 2)*(3*f - 2)
Let n be -2*4/(-1 + -7). Factor n + 4*q**2 - 3*q**2 - 4 - 4*q + 7.
(q - 2)**2
Suppose s**2 + 6*s**4 - 6*s**3 - 14*s**4 + 6*s + 7*s**4 = 0. What is s?
-6, -1, 0, 1
Let g(c) be the third derivative of c**7/3360 - c**6/1440 - c**5/240 - c**3/6 + 4*c**2. Let j(o) be the first derivative of g(o). Factor j(k).
k*(k - 2)*(k + 1)/4
Let h = 1045/7 - 149. Factor -h*x**2 + 2/7*x**3 - 2/7*x + 2/7.
2*(x - 1)**2*(x + 1)/7
Factor -1/3 + 5/6*d - 2/3*d**3 + 2/3*d**4 - 1/6*d**5 - 1/3*d**2.
-(d - 2)*(d - 1)**3*(d + 1)/6
Let s(u) be the second derivative of u**5/5 + 2*u**4/3 - 2*u**3 + 14*u + 1. Solve s(m) = 0 for m.
-3, 0, 1
Let b(x) be the first derivative of x**4/20 + x**3/3 + 7*x**2/10 + 3*x/5 - 19. Factor b(l).
(l + 1)**2*(l + 3)/5
Let c(j) be the second derivative of -j**7/70 - j**6/50 + 3*j**5/50 + 3*j. Factor c(u).
-3*u**3*(u - 1)*(u + 2)/5
Let p(t) = 6*t**2 - 6*t - 4. Let l(n) = n**2 - n - 1. Let s(f) = 8*l(f) - p(f). Factor s(w).
2*(w - 2)*(w + 1)
Suppose 48*l - 34 = 31*l. Suppose 1/8*h + 0*h**l + 0 - 1/8*h**3 = 0. What is h?
-1, 0, 1
Let o(a) = a**2 + 7*a + 5. Let l be o(-7). What is c in -6*c - 2 + 2*c**2 + 4*c**3 + 3*c**3 + l*c**3 - 6*c**3 = 0?
-1, -1/3, 1
Suppose -4*y - 2*b - 3*b = -61, 0 = -3*y + 4*b + 7. Let u be (3/y)/(2/3). Factor z + u*z**2 + 1/2.
(z + 1)**2/2
Let t be 0 + -1 - (-7 - -3). Factor 0*z**2 + 4 + 0*z**3 - t*z**2 + z**3.
(z - 2)**2*(z + 1)
Let k be (4/(-3))/((-7)/3). Let q(d) = -23*d + 71. Let o be q(3). Factor -2/7*z**o + 0 - k*z.
-2*z*(z + 2)/7
Let p(t) be the second derivative of t**4/78 + 2*t**3/39 + t**2/13 + 11*t. Factor p(o).
2*(o + 1)**2/13
Let l = 46 + -91/2. Factor -1/2*m - 1/2*m**4 + m**3 + m**2 - l*m**5 - 1/2.
-(m - 1)**2*(m + 1)**3/2
Let y(o) be the third derivative of 5*o**2 + 1/30*o**5 + 0 - 1/3*o**4 + 1/60*o**6 - 4/3*o**3 + 0*o. Factor y(d).
2*(d - 2)*(d + 1)*(d + 2)
Let o(i) be the third derivative of -2/27*i**3 + 0 + 3*i**2 - 1/270*i**5 + 1/36*i**4 + 0*i. Factor o(c).
-2*(c - 2)*(c - 1)/9
Let k(z) be the second derivative of -z**7/14 + z**6/5 - 3*z**5/20 + 6*z. Factor k(d).
-3*d**3*(d - 1)**2
Let u(s) be the third derivative of -1/40*s**6 + 4*s**3 + 0*s + 3/10*s**5 - 6*s**2 - 3/2*s**4 + 0. Factor u(v).
-3*(v - 2)**3
Let r(n) be the third derivative of n**5/60 + n**4/24 - n**3/3 + 10*n**2. Solve r(b) = 0.
-2, 1
Find u, given that -6/7*u - 8/7 + 2/7*u**2 = 0.
-1, 4
Let p(f) be the second derivative of f**6/10 - 9*f**5/20 + 3*f**4/4 - f**3/2 - 3*f. Factor p(s).
3*s*(s - 1)**3
Suppose -2*p = 3*p - 75. Let o be -1 - (0 + p/(-11)). Factor 0*w + o*w**2 + 0 - 2/11*w**3.
-2*w**2*(w - 2)/11
Let v(w) be the second derivative of 1/50*w**5 + 0 - 1/15*w**4 + 1/15*w**3 - w + 0*w**2. Factor v(y).
2*y*(y - 1)**2/5
Let y(a) be the third derivative of -a**5/105 - 3*a**4/14 + 20*a**3/21 - 36*a**2. Factor y(m).
-4*(m - 1)*(m + 10)/7
Let a be -2*-1*(0 + 1). What is y in -7*y + 2*y**2 + y**a + 4*y = 0?
0, 1
Let k(o) = -4*o**2 - 5*o - 5. Let p(d) = -d**2 - 2*d - 2. Let y(b) = -3*b**2 - 5*b - 5. Let x(w) = -7*p(w) + 4*y(w). Let c(v) = 6*k(v) - 5*x(v). Factor c(q).
q**2
Let p(f) be the first derivative of -7*f**6/30 - 12*f**5/25 - 3*f**4/20 + 2*f**3/15 - 1. Factor p(w).
-w**2*(w + 1)**2*(7*w - 2)/5
Let u(c) be the second derivative of 5*c**4/12 - c**3/6 - 2*c. Factor u(n).
n*(5*n - 1)
Let v(s) be the first derivative of -s**3/4 - 15*s**2/8 + 9*s/2 + 17. Factor v(k).
-3*(k - 1)*(k + 6)/4
Let c(j) be the first derivative of -1/9*j**3 + 2 - 4/3*j + 2/3*j**2. Determine f so that c(f) = 0.
2
Suppose g + 20 = -5*k, 0*g - 3*g + 8 = -2*k. What is v in g*v + 0*v**2 + 1/4*v**4 + 0 - 1/2*v**3 = 0?
0, 2
Let y(r) be the third derivative of r**5/20 - r**4/6 + r**3/6 + 4*r**2. Let j(k) = -k**2 + k. Let v(h) = -6*j(h) - 3*y(h). Find w such that v(w) = 0.
1
Let k(z) be the first derivative of -2*z**5/5 + 3*z**4/2 - 4*z**2 + 7. Let k(g) = 0. Calculate g.
-1, 0, 2
Suppose 5*t - 3*t - 16 = -2*d, t = 5*d - 10. Find z such that 0*z - 3*z**2 + 57/2*z**d + 0 + 90*z**5 - 177/2*z**4 = 0.
0, 1/4, 1/3, 2/5
Let y(w) be the first derivative of -w**8/4200 + w**6/900 - w**3/3 - 5. Let o(a) be the third derivative of y(a). Solve o(f) = 0 for 