- 1)*(l + 1)**2
Suppose -2*y + 0*y = -2. Let x be (y + 0)*6/18. Factor -x*c**2 - 1/3 - 2/3*c.
-(c + 1)**2/3
Let n = 7 - 3. Let -3*l**3 + 2*l**2 - l + l**2 - 2*l**4 + 4*l**4 - l**n = 0. What is l?
0, 1
Let q(m) be the first derivative of m**6/240 - m**4/16 + m**3/6 - 3*m**2 - 2. Let s(c) be the second derivative of q(c). Let s(r) = 0. Calculate r.
-2, 1
Let g(p) be the first derivative of -p**7/168 + p**5/80 + 2*p - 1. Let t(d) be the first derivative of g(d). Let t(b) = 0. Calculate b.
-1, 0, 1
Suppose 5*y = 5*b - 20, 0 = b + b + 5*y + 6. Factor r + 4*r - 4*r + r**b.
r*(r + 1)
Let i(r) be the third derivative of r**6/24 + r**5/12 - 5*r**4/12 - 5*r**2. Let i(j) = 0. Calculate j.
-2, 0, 1
Let f(x) = -11*x**2 + 13*x + 5. Let g be 161/(-35) + (-2)/5. Let k(n) = -5*n**2 + 7*n + 2. Let c(z) = g*k(z) + 2*f(z). Factor c(m).
3*m*(m - 3)
Let u(s) be the third derivative of s**6/120 - s**5/40 - s**3/3 + 8*s**2. Let n(i) be the first derivative of u(i). Factor n(a).
3*a*(a - 1)
Factor 93*q + 30*q**2 + 0 + 2*q**4 - 119*q + 8 - 14*q**3.
2*(q - 4)*(q - 1)**3
Let j(m) be the first derivative of -2*m**3/15 - 3*m**2/5 - 4*m/5 + 7. Find h such that j(h) = 0.
-2, -1
Let t(x) = -2*x - 4. Let l be t(-2). Let c = l - -3. Suppose 0*b**2 - 2/7 - 4/7*b + 4/7*b**c + 2/7*b**4 = 0. What is b?
-1, 1
Let d(c) be the third derivative of -c**6/180 + c**5/30 - c**3/6 + 2*c**2. Let k(f) be the first derivative of d(f). Find w, given that k(w) = 0.
0, 2
Let o(l) be the third derivative of -l**8/161280 - l**7/40320 + 2*l**5/15 - l**2. Let z(c) be the third derivative of o(c). Factor z(k).
-k*(k + 1)/8
Let i(v) be the first derivative of -v**7/10 + 9*v**6/40 - v**5/10 - v**2/2 + 4. Let l(g) be the second derivative of i(g). Determine b so that l(b) = 0.
0, 2/7, 1
Let z(p) = -4*p**2 - p**3 + 7*p + 2 - 7*p. Let h be z(-4). Find g such that -7 + 6 + 1 + h*g**2 - 2*g = 0.
0, 1
Let g be 2/(-3) - 11/(-3). Find s, given that -s**g + 0*s**4 - 7*s + s**2 - s**4 + 8*s = 0.
-1, 0, 1
Let t(k) be the first derivative of k**8/2240 - k**7/1120 - k**6/240 + 3*k**3 + 4. Let q(m) be the third derivative of t(m). Determine x, given that q(x) = 0.
-1, 0, 2
Factor -12*f - 5*f**2 - 6*f**3 + 11*f**2 + 4 + 2*f**2 + f**4 + 5*f**2.
(f - 2)**2*(f - 1)**2
Find m such that 40*m - 82*m**2 - 56*m**3 - 12*m**4 - 8 + 16*m + 102*m**4 = 0.
-1, 2/9, 2/5, 1
Let f(l) be the first derivative of -3*l**5/5 + 3*l**4/4 + 2*l**3 + 14. Suppose f(c) = 0. Calculate c.
-1, 0, 2
Let q(u) be the first derivative of -2*u**5 + 1/6*u**4 - 4/9*u**2 + 0*u - 6 + 32/27*u**3. Find n such that q(n) = 0.
-2/3, 0, 1/3, 2/5
What is c in 3/7*c**2 + 0 + 0*c + 3/7*c**3 = 0?
-1, 0
Let s(n) be the first derivative of 2*n**3/21 + n**2/7 + 7. Suppose s(w) = 0. What is w?
-1, 0
Let o(r) be the second derivative of -r**6/55 + 4*r**5/55 - r**4/22 - 2*r**3/33 - 22*r. Find j, given that o(j) = 0.
-1/3, 0, 1, 2
Let s(d) be the third derivative of d**7/1050 + d**6/600 - d**5/300 - d**4/120 + 23*d**2. Suppose s(n) = 0. Calculate n.
-1, 0, 1
Suppose 0 = -3*y - 3 + 6. Let n be (2/y)/2 - -3. Factor 10*o - 10*o + 0*o**4 + o**n - 2*o**3 + o**2.
o**2*(o - 1)**2
Let d(j) = -6*j**4 + 2*j**3 - 4*j**2 - 4*j + 4. Let u(b) = -b**4 - b**3 - b**2 + b + 1. Let w(x) = -d(x) + 4*u(x). Find m such that w(m) = 0.
-1, 0, 2
Let d = 75 - 73. Solve 0*v**d + 2/3*v**4 + 0*v + 0 - 2/3*v**3 = 0.
0, 1
Let k be -3*3*(-4)/18. Let c(d) be the second derivative of -2*d + 0*d**k + 0 - 1/10*d**4 - 2/25*d**5 + 1/15*d**3. Factor c(h).
-2*h*(h + 1)*(4*h - 1)/5
Let d = 13 - 10. Find p, given that 2*p**d + 10 - p**4 - p - p + 0*p - 9 = 0.
-1, 1
Let k = -5/431 - 487/32325. Let p = k + 679/150. Determine t so that -3/2 + 3*t**3 + 9/2*t**4 - 3*t**2 - p*t + 3/2*t**5 = 0.
-1, 1
Determine b so that 154*b**5 + 1 + 11*b**3 - 150*b**5 - 13*b**4 - 2*b**2 - 1 = 0.
0, 1/4, 1, 2
Let u(r) be the first derivative of -5/2*r**4 + 4*r**2 - 4*r**3 + 16*r - 2/5*r**5 + 7. Factor u(z).
-2*(z - 1)*(z + 2)**3
Let f be (-7)/(-20)*(-4)/(-14). Let p(w) be the first derivative of 2/25*w**5 - 2/15*w**3 - 2 + 0*w - 1/5*w**2 + f*w**4. Factor p(b).
2*b*(b - 1)*(b + 1)**2/5
Let w(v) = 6*v**4 - 3*v**3 - 3*v**2 - 3*v - 3. Let d(n) = 13*n**4 - 7*n**3 - 5*n**2 - 5*n - 5. Let f(h) = -3*d(h) + 5*w(h). Find l such that f(l) = 0.
0, 2/3
Let m(i) be the third derivative of i**8/672 - 2*i**7/105 + 11*i**6/120 - i**5/5 + 3*i**4/16 - 6*i**2. Let m(l) = 0. Calculate l.
0, 1, 3
Let j be (-1)/(1 + 36/16*-2). Suppose 0 - 2/7*k**2 + 2/7*k**3 + 0*k - 2/7*k**5 + j*k**4 = 0. What is k?
-1, 0, 1
Let g(t) be the first derivative of -4*t**5/15 - 1. Factor g(z).
-4*z**4/3
Factor -61*f**2 - 4*f + 30 + 66*f**2 + 29*f.
5*(f + 2)*(f + 3)
Let c be 4/(-30)*((-1)/(-1) - 6). Factor 8/3*x + c*x**3 + 0 - 8/3*x**2.
2*x*(x - 2)**2/3
Let t(f) be the second derivative of -f**5/4 + 5*f**4/6 + 5*f**3/2 + 11*f. Factor t(s).
-5*s*(s - 3)*(s + 1)
Suppose 5*k = -52 - 8. Let r = k - -12. Factor 0 - 3*q**3 + r*q - 2/3*q**2.
-q**2*(9*q + 2)/3
Let 0*i**2 + 2/7*i**4 + 0*i - 4/7*i**3 + 0 = 0. Calculate i.
0, 2
Let g(s) be the third derivative of s**6/480 - s**5/60 + s**4/24 - 3*s**2. Let g(k) = 0. Calculate k.
0, 2
Let p(v) = v**2 - 4*v - 2. Let l be p(5). Find y such that 4*y + 3*y**3 - 4*y**l + 3*y**3 + 6*y**2 = 0.
-2, -1, 0
Let h = -69/4 + 35/2. Factor -h*x**3 + 0 - 1/2*x**2 - 1/4*x.
-x*(x + 1)**2/4
Let g(z) = -z**3 - z. Let c(d) = -3*d**4 - 21*d**2 + 6*d. Let q(v) = -c(v) - 15*g(v). Suppose q(s) = 0. What is s?
-3, -1, 0
Let s be (-2)/(1*12/(-9)). Let c = -5/4 + s. Find m, given that -3/4*m - c + m**2 = 0.
-1/4, 1
Let p(f) = f**3 + 7*f**2 - 9*f - 4. Let v be p(-8). Find x such that 5*x**4 - 2*x**v + x**3 + 0*x**4 - 2*x**2 = 0.
-1, 0, 2/3
Let o = -11 + 11. Suppose o = -2*y + 29 + 13. Let 3*z**3 + 0 + 0*z**2 + 147/4*z**5 + y*z**4 + 0*z = 0. Calculate z.
-2/7, 0
Let h(d) = -d**2 + 11*d - 5. Let y be h(7). Let -23 + y - 3*o**3 = 0. Calculate o.
0
Let h(v) = 16 - 2*v + 4*v + 0*v. Let j be h(-7). Factor 4/11 - 2/11*b - 2/11*b**j.
-2*(b - 1)*(b + 2)/11
Let q(c) be the third derivative of -c**6/660 + 7*c**2. What is o in q(o) = 0?
0
Factor -6/7*r**5 + 8/7*r**4 + 0*r**2 + 0*r - 2/7*r**3 + 0.
-2*r**3*(r - 1)*(3*r - 1)/7
Let g(t) be the first derivative of 2*t**5/5 + 6*t**4 + 24*t**3 - 8. Factor g(d).
2*d**2*(d + 6)**2
Let c be (-22 + 22)/(-3 + 1). Let s(m) be the third derivative of 0 + 1/96*m**4 - 1/24*m**3 + 1/240*m**5 - 1/480*m**6 + c*m + 4*m**2. Find k such that s(k) = 0.
-1, 1
Let k(t) be the second derivative of -t**4/48 - t**3/12 + 3*t**2/8 - 4*t. Find m, given that k(m) = 0.
-3, 1
Let k = -53 + -1. Let a be -1*(2 + k/21). Solve -2/7*b**3 - 2/7*b + 0 + a*b**2 = 0 for b.
0, 1
Factor 12*y**2 + 30*y**3 + 21/2*y**5 + 0 - 39*y**4 + 0*y.
3*y**2*(y - 2)**2*(7*y + 2)/2
Suppose -7 = -5*n + 3. Let q(g) = -g**3 + g - 1. Let a(t) = 2*t**2 + 2*t - 2. Let o(m) = n*q(m) - a(m). Solve o(c) = 0 for c.
-1, 0
Let c(n) be the first derivative of -n**3/3 + 5*n**2/2 - 24. Factor c(f).
-f*(f - 5)
Let v be 0*(-3 + 0 - -4). Let k be (0 - (0 - v))/1. Factor -2/5*n**4 + 0*n**3 + 0*n + k + 2/5*n**5 + 0*n**2.
2*n**4*(n - 1)/5
Let k(h) be the first derivative of -h**5/80 + 3*h**2 - 6. Let b(q) be the second derivative of k(q). Determine r so that b(r) = 0.
0
Let d(x) be the third derivative of -x**5/750 - x**4/150 + 11*x**2. Factor d(w).
-2*w*(w + 2)/25
Let p(k) = -k**3 + k**2 - k + 1. Let n be p(1). Suppose -2*c + 3*c = n. Factor 1/5*g**3 + 1/5*g**2 + c + 0*g.
g**2*(g + 1)/5
Let z(n) = 3*n - 51. Let a be z(17). Let k(l) be the first derivative of a*l**2 - l - 2 + 1/3*l**3. Factor k(o).
(o - 1)*(o + 1)
Factor 30*y**2 + 5*y + 0*y**3 + 8 - 2*y + 7*y**3 + 33*y.
(y + 2)**2*(7*y + 2)
Determine k so that 18*k**4 - 27*k**5 + 33*k**4 - 7*k**2 - 2*k + 4*k - 19*k**3 = 0.
-1/3, 0, 2/9, 1
Factor -4*t**4 + t**2 - 2*t**2 - 4*t**3 + 8*t**2 + t**2.
-4*t**2*(t - 1)*(t + 2)
Suppose 3*s - 4 = 4*v - 0*s, 5*v - 2*s = 2. Solve 15*p**3 + 6*p**v - 25*p**3 + 2*p + 2*p = 0.
-2/5, 0, 1
Suppose -3*y = 65 - 77. Factor 0*u - 2/5*u**3 - 2/5*u**5 + 0 - 4/5*u**y + 0*u**2.
-2*u**3*(u + 1)**2/5
Suppose -4*u + 12 = 0, -2*a = 3*a + 3*u - 744. Determine c so that 12 + 273*c**2 + c - 42*c**2 - a*c**3 - 97*c = 0.
2/7, 1
Let q(t) be the third derivative of t**7/3780 + t**6/540 + t**5/180 - 5*t**4/24 + 2*t**2. Let s(m) be the second derivat