erivative of -1/10*q**5 - 1/3*q**3 + 1/3*q**4 + 0*q**2 + a - 6*q. What is f in b(f) = 0?
0, 1
Let y(i) be the first derivative of 3*i**4/28 + 5*i**3/7 + 9*i**2/7 - 118. Suppose y(f) = 0. What is f?
-3, -2, 0
Let x be (-1)/3*0*(-18)/18. Solve 2/3*o**3 - 2/9*o**4 + x + 2/9*o**2 - 2/3*o = 0.
-1, 0, 1, 3
Let q(i) be the third derivative of -2*i**7/525 + i**6/75 + i**5/75 - i**4/15 + i**2 + 5*i. Factor q(m).
-4*m*(m - 2)*(m - 1)*(m + 1)/5
Let n be (-4)/10 - 329/(-35). Factor 358*w - n*w**4 - 3*w**2 - 12*w**3 - 358*w.
-3*w**2*(w + 1)*(3*w + 1)
Let o be (6/4)/((-6)/(-16)). Let j = 6 - o. Factor m**j + 4*m**4 + 0*m**2 + m**2 + 0*m**2 - 6*m**3.
2*m**2*(m - 1)*(2*m - 1)
Let t(w) be the first derivative of w**5/360 + w**4/48 + w**3/18 - 13*w**2 - 10. Let h(l) be the second derivative of t(l). Determine d so that h(d) = 0.
-2, -1
Let s(g) = 15*g**4 + 27*g**3 + 99*g**2 + 27*g - 156. Let o(p) = 32*p**4 + 53*p**3 + 198*p**2 + 54*p - 311. Let x(w) = -6*o(w) + 13*s(w). Factor x(c).
3*(c - 1)*(c + 3)**2*(c + 6)
Let m(i) be the first derivative of 4*i - 2 + i**2 - 1/12*i**4 - 1/6*i**3. Let c(d) be the first derivative of m(d). Solve c(b) = 0.
-2, 1
Let m(k) be the second derivative of 12*k + 1/10*k**4 - 1/15*k**3 - 1/25*k**5 + 0 + 0*k**2. Find y such that m(y) = 0.
0, 1/2, 1
Let r(v) = -2*v**4 - v**3 - 5*v**2 - 6*v + 6. Let f(j) = 3*j**4 + j**3 + 10*j**2 + 12*j - 10. Let k(z) = -3*f(z) - 5*r(z). Factor k(g).
g*(g - 2)*(g + 1)*(g + 3)
Let i(v) be the first derivative of -10*v - 1/5*v**5 - 10/3*v**3 - 4/3*v**4 + 8 - 4*v**2. Let z(u) be the first derivative of i(u). Factor z(x).
-4*(x + 1)**2*(x + 2)
Let s = 1 - -2. Suppose -s*u + 4 = -u. Suppose -3*z**u + 4*z**2 + 2*z - 2 - 2*z**2 + z = 0. Calculate z.
1, 2
Let i = 7265697/37814 - 1/5402. Let v = i - 191. Solve 2/7*a**2 + 8/7*a + v = 0 for a.
-2
Factor 90*r**2 + 114*r**4 - 46*r - 42*r**3 + 114*r**4 - 343*r**4 + 113*r**4.
-2*r*(r - 1)**2*(r + 23)
Factor 2/13*w**3 + 12/13*w + 0 - 10/13*w**2.
2*w*(w - 3)*(w - 2)/13
Factor 3*b**3 - 19*b**2 + 9*b**4 + 0*b**3 + 19*b**2 - 6*b - 9*b**2 + 3*b**5.
3*b*(b - 1)*(b + 1)**2*(b + 2)
Let w(m) be the first derivative of 2*m**3 + 14/5*m**5 + 2*m**2 + 1 - 6*m**4 + 0*m. Factor w(i).
2*i*(i - 1)**2*(7*i + 2)
Suppose 35 = 7*q - 0. Let b(o) be the third derivative of 1/165*o**q + 0 + o**2 + 0*o**3 + 1/132*o**4 + 0*o + 1/660*o**6. Factor b(w).
2*w*(w + 1)**2/11
Let p(j) = -6*j + 2 + 5*j + 6*j**2 - 3*j**2. Let g be p(1). What is k in 0*k**3 - 1/4*k**g - 1/2*k + 3/4*k**2 + 0 = 0?
-2, 0, 1
Let l(t) be the second derivative of t**7/840 - t**6/120 + t**5/60 + 7*t**3/3 - 3*t. Let m(k) be the second derivative of l(k). What is j in m(j) = 0?
0, 1, 2
Let u be 1*12*5/15. Solve u*t**2 - 2*t**2 + 7*t**3 + 46*t - 47*t + 4*t**4 = 0.
-1, 0, 1/4
Suppose -5*u - 10 = -15. Let l(a) = 6*a - 4. Let c be l(u). Factor 8/7*n**c - 2/7 + 6/7*n.
2*(n + 1)*(4*n - 1)/7
Let q(f) be the first derivative of f**3/3 - 26*f**2/3 - 12*f - 114. Factor q(s).
(s - 18)*(3*s + 2)/3
Let a(o) be the second derivative of -o**6/90 + o**5/6 - 23*o**3/6 - o + 8. Let j(d) be the second derivative of a(d). Suppose j(w) = 0. Calculate w.
0, 5
Let g(t) be the second derivative of t**7/84 + 7*t**6/12 + 63*t**5/40 - 103*t**4/24 - 32*t**3/3 + 33*t**2 + 10*t + 17. Let g(k) = 0. What is k?
-33, -2, 1
Let x = -17 + 15. Let s be 5/(1375/380) + x/11. What is b in 1/5 + 9/5*b**2 + s*b = 0?
-1/3
Let j = 320 + -1588/5. Let -4/5*n**5 + 0 - j*n**4 + 0*n - 4/5*n**2 - 12/5*n**3 = 0. What is n?
-1, 0
Let f(n) = n**3 - 11*n**2 + 21*n - 24. Let k be f(9). Let k*g**2 - 35*g - 50 + 2*g**2 + 10 = 0. What is g?
-1, 8
Let q(w) be the first derivative of 0*w - 4/3*w**3 - 1/5*w**4 + 0*w**2 + 1. Find d such that q(d) = 0.
-5, 0
Let g(n) be the second derivative of -n**5/30 - n**4/2 - 5*n**3/3 - 7*n**2/3 - 36*n. Factor g(j).
-2*(j + 1)**2*(j + 7)/3
Let k(t) be the second derivative of 7*t**6/780 - t**5/15 - 2*t**4/39 + 5*t**2 - 5*t. Let v(u) be the first derivative of k(u). Determine i so that v(i) = 0.
-2/7, 0, 4
Let k(h) = -8*h - h**2 + 3*h + 5*h + h**4. Let p(y) = y - 6*y**3 - 3*y + 6*y**2 + 2*y**2. Let i(w) = 2*k(w) + p(w). Suppose i(f) = 0. What is f?
0, 1
Let q(t) be the first derivative of 8*t + 9 + 0*t**5 - 4*t**4 - 8/3*t**3 + 6*t**2 + 2/3*t**6. Factor q(v).
4*(v - 2)*(v - 1)*(v + 1)**3
Let d = 8 - 7. Find o, given that d + o**2 - 3 - o + 2*o = 0.
-2, 1
Let b(u) be the third derivative of -u**6/960 + 31*u**5/480 + 65*u**4/192 + 11*u**3/16 - u**2 - 14. Suppose b(s) = 0. What is s?
-1, 33
Let b(i) be the second derivative of -i**6/15 + 7*i**5/10 + i**4/6 - 7*i**3/3 - 1011*i. Solve b(c) = 0 for c.
-1, 0, 1, 7
Let l(w) = -2*w**4 + 10*w**3 + 3*w**2 + 11*w. Let v(f) = f**2 + f. Let s = 33 + -35. Let p(r) = s*l(r) + 22*v(r). Suppose p(b) = 0. What is b?
0, 1, 4
Suppose 0 = 196*p - 221*p. Let j(w) be the second derivative of 1/3*w**3 + 2/3*w**2 + 1/63*w**7 + p - 1/9*w**4 - 9*w + 0*w**6 - 2/15*w**5. Factor j(a).
2*(a - 2)*(a - 1)*(a + 1)**3/3
Let t be 1/5 + (-108)/(-60). Let 9 - 9 - 2 + t*h**2 = 0. What is h?
-1, 1
Let h be (-2)/2 + (3 - 0). Factor 2*r + r**3 - 109*r**2 + 8*r**4 - 7*r**3 + 8*r**5 + 105*r**h.
2*r*(r + 1)**2*(2*r - 1)**2
Let s = 47 + -28. Suppose -7 - 9 = -4*r, 5*u - r = -s. Let l(x) = -20*x**2 - 32*x - 8. Let y(m) = -20*m**2 - 31*m - 8. Let z(f) = u*l(f) + 4*y(f). Factor z(b).
-4*(b + 1)*(5*b + 2)
Factor -7/3*b**2 - 73*b - 62/3.
-(b + 31)*(7*b + 2)/3
Let j(n) = n - 1. Let p be j(-10). Let s = -3 - p. Determine o so that o**4 + 6*o**2 + 5*o**4 + 8*o**3 - 8*o - 4*o**4 - s = 0.
-2, -1, 1
Let z be (-46)/207 + (-41)/(-63). Let j = 29/35 + -2/5. Suppose -j*t**4 - z*t + 3/7*t**2 + 0 + 3/7*t**3 = 0. What is t?
-1, 0, 1
Let b(j) be the first derivative of -3/16*j**4 - 19 - 1/4*j + 1/10*j**5 - 1/12*j**3 + 3/8*j**2. Factor b(s).
(s - 1)**2*(s + 1)*(2*s - 1)/4
Let z = -876/7 + 13147/105. Let y(g) be the second derivative of -1/3*g**2 + 0*g**3 + 0 - 9*g + z*g**5 + 1/6*g**4. Solve y(f) = 0 for f.
-1, 1/2
Let l(y) = y - 7. Let t be l(9). Factor 6*d + d**4 + 9*d**t + d + 3 + 5*d**3 - 1.
(d + 1)**3*(d + 2)
Let x(t) = t - 15. Let p be x(-9). Let s = -21 - p. Factor -2*j + 2*j - 2*j**s - 2*j - 4*j**2.
-2*j*(j + 1)**2
Let m(y) = 16*y + 18. Let o be m(-1). Factor -16/3 + 4/3*j**o + 0*j.
4*(j - 2)*(j + 2)/3
What is w in -31 + 1/3*w**2 - 28/3*w = 0?
-3, 31
Let q(g) be the first derivative of -2*g**5/5 - 7*g**4 - 24*g**3 - 34*g**2 - 22*g - 213. Factor q(l).
-2*(l + 1)**3*(l + 11)
Suppose -4*l - i = -21, 2*l = 6*i - i - 17. Let o = 3 - 1. Determine y so that 29*y**2 - l*y + 2 + y - 28*y**o = 0.
1, 2
Let q = -369 - -372. Let c(x) be the third derivative of 1/108*x**4 + 0*x**q + 0*x + 0*x**5 - 1/540*x**6 + 0 + 6*x**2. Let c(a) = 0. Calculate a.
-1, 0, 1
Suppose y - 3*y = -8. Suppose -3 = -5*h + y*h. Factor -14*v**h + 14*v**2 - 40*v + 32*v**2 + 1 + 7.
-2*(v - 2)*(v - 1)*(7*v - 2)
Suppose 2*s + 3*s - 40 = 0. Let j be (-4)/(-16)*(15 + -3). Factor -s*p**2 + p**3 + 8*p - 10*p + p**j + 8*p**4.
2*p*(p - 1)*(p + 1)*(4*p + 1)
Let c(a) be the second derivative of 8*a**6/15 + 17*a**5/5 + 5*a**4 - 32*a**3/3 - 40*a**2 + 276*a - 1. Factor c(b).
4*(b - 1)*(b + 2)**2*(4*b + 5)
Let d = 207/5 - 1439/35. Suppose 0 = -5*q + 4*m + 14, -3*q - 2*m = 1 - 5. Find a, given that 0 + 2/7*a**q + 0*a - d*a**3 = 0.
0, 1
Suppose -16*f + 13*f + 9 = 0. Determine z, given that -3*z**4 - f*z**4 + 3*z**4 - 15*z**2 - 14*z**3 + 6*z + 26*z**3 = 0.
0, 1, 2
Factor 41/2*p - 1/8*p**2 - 1681/2.
-(p - 82)**2/8
Let c(j) = -j + 14. Let m be c(12). Factor 35*o**m - 13*o + 3*o - 40*o**2.
-5*o*(o + 2)
Let s(p) = 36*p**3 - 117*p**2 + 96*p - 18. Let c(d) = d**3 - 2*d**2 + 2. Let o(w) = -3*c(w) - s(w). Let o(y) = 0. What is y?
2/13, 1, 2
Factor 252*q - 336*q + 100*q**3 + 13 + 23 - 20*q**2.
4*(q + 1)*(5*q - 3)**2
Let a(i) = 11*i + 59. Let f be a(-5). Let g(s) be the third derivative of 0 + 1/210*s**5 + 0*s**3 + 0*s + 4*s**2 + 1/84*s**f. Factor g(x).
2*x*(x + 1)/7
Let r(t) be the third derivative of -t**8/70560 - 2*t**7/2205 - 8*t**6/315 + 7*t**5/20 - 8*t**2. Let k(u) be the third derivative of r(u). Factor k(f).
-2*(f + 8)**2/7
Suppose 0 = 6*a - 12*a + 30. Determine o so that a*o**2 + 13/4*o + 1/2 + 9/4*o**3 = 0.
-1, -2/9
Let j be 2/(-8) - (-275)/20. Factor -21/2*k**2 - j*k - 3.
-3*(k + 1)*(7*k + 2)/2
Let l be ((-12)/(-10))