26 - 68 - 30*i**5 = 0. What is i?
-1, 1/6, 1
Let l(f) be the third derivative of -f**7/56 - 7*f**6/72 - f**5/12 + f**3 - 11*f**2. Let k(m) be the first derivative of l(m). Determine w so that k(w) = 0.
-2, -1/3, 0
Let i(z) be the second derivative of z**4/24 - 13*z**3/12 + 18*z. Let i(x) = 0. Calculate x.
0, 13
Let a(s) be the first derivative of -s**3/9 + s**2/6 + 14*s - 257. Determine o, given that a(o) = 0.
-6, 7
Let m(v) be the third derivative of 0*v**5 + 0*v**6 - 1/3*v**4 + 0 + v**2 + 0*v**3 + 1/840*v**7 + 0*v. Let i(r) be the second derivative of m(r). Factor i(g).
3*g**2
Let z(r) be the third derivative of 2*r**7/945 - 8*r**6/27 + 320*r**5/27 + 4*r**2 - 7*r. Factor z(v).
4*v**2*(v - 40)**2/9
Suppose 0 = 80*b - 77*b - 717. Let 117*a - 3*a**2 - b*a - a**2 + 118*a = 0. What is a?
-1, 0
Find h, given that 39/4*h**2 + 507/4*h + 1/4*h**3 + 2197/4 = 0.
-13
Let u be 1 + 0 + (-4)/(-2). Suppose 66 = 19*w - 10. What is g in -u*g**w - 10*g**4 + 12*g**4 = 0?
0
Let j be -16 + 1*(-896)/(-42). Factor 0 - j*u**2 + 2/3*u**3 + 0*u.
2*u**2*(u - 8)/3
Suppose q + 1 = 5. Let f = -92 - -94. Let -d**2 - q*d + 2*d + 2*d**f = 0. Calculate d.
0, 2
Let p(r) be the second derivative of r**5/30 + r**4/12 - 2*r**3/3 - 35*r**2/2 - 29*r. Let j(v) be the first derivative of p(v). Suppose j(c) = 0. Calculate c.
-2, 1
Let p be (-2)/7 - ((-438)/7)/2. Suppose 3 = -7*f + p. Factor -1/3*g - 2/3*g**f + 0 + 2/3*g**2 + 0*g**3 + 1/3*g**5.
g*(g - 1)**3*(g + 1)/3
Let v be (-36)/(-10)*205/1148. Let b(q) be the first derivative of -3 + 6/7*q - v*q**2 + 3/28*q**4 + 0*q**3. Factor b(m).
3*(m - 1)**2*(m + 2)/7
Let t = 10 - 12. Let a(h) = -2*h + 1. Let u be a(t). Solve 27*s**2 + 6*s + 2*s**3 + 8*s**3 - 12*s**5 + u*s**3 - 9*s**5 - 27*s**4 = 0.
-1, -2/7, 0, 1
Suppose -5*r - 4*o = -27, o + 3 + 0 = 2*r. Let g = -704/17 + 1425/34. Factor 0*t**2 - g*t**r + 1 + 3/2*t.
-(t - 2)*(t + 1)**2/2
Let f be (-6)/(-2) - (-8 + 5 + 1). Let g(j) be the first derivative of -4*j - 4*j**2 - 4/3*j**3 - f. Factor g(i).
-4*(i + 1)**2
Let m(g) be the third derivative of -5*g**8/336 + 25*g**7/42 - 7*g**6 + 12*g**5 - 94*g**2. Factor m(o).
-5*o**2*(o - 12)**2*(o - 1)
Let m(l) be the second derivative of 0*l**4 + 0*l**3 + 0 + 0*l**2 - 3/100*l**5 + 1/35*l**7 + 19*l - 1/50*l**6. Factor m(j).
3*j**3*(j - 1)*(2*j + 1)/5
Suppose 36253*g - 3372 - 9750*g**2 - 50443*g - 63550*g - 385*g**3 + 99717 - 8465 - 5*g**4 = 0. What is g?
-26, 1
Let b = -26 + 28. Factor 8*q + 0*q**b + 4*q**2 + 0*q**2.
4*q*(q + 2)
Let a(b) be the third derivative of 6*b**2 + 0*b**5 + 0*b + 0*b**3 + 1/60*b**4 - 1/300*b**6 + 0. Factor a(r).
-2*r*(r - 1)*(r + 1)/5
Suppose 64 = -52*d + 272. Let y(t) be the second derivative of 8*t + 0 + 0*t**3 + 1/150*t**6 + 1/210*t**7 - 1/100*t**5 + 0*t**2 - 1/60*t**d. Factor y(m).
m**2*(m - 1)*(m + 1)**2/5
Let i = 5 + -5. Let j = 5252/7 + -750. Factor 0 + i*r + 2/7*r**3 - j*r**2.
2*r**2*(r - 1)/7
Let q be -6*(-2)/(-2)*-1. Let y(g) = g - 21. Let k be y(23). Suppose -v**4 - v**3 - 7*v**2 + v**k + q*v**2 = 0. Calculate v.
-1, 0
Let l(t) be the first derivative of t**6/2 - 9*t**5 - 203. Find d, given that l(d) = 0.
0, 15
Let h = 314/77 - 26/11. Let i = 88/35 - 4/5. Solve 4/7 + h*y**2 - 4/7*y**3 - i*y = 0.
1
Let m(g) = 16 + 2*g + 2*g - 8*g**2 + 4*g. Let c(f) = f**2 - 1. Let q(w) = -2*w**3 - 31*w**2 - 42*w + 12. Let y be q(-14). Let j(l) = y*c(l) + m(l). Factor j(d).
4*(d + 1)**2
Suppose 3*m - 4 - 10 = -o, -2*o = -10. Factor 5*a**2 + 12 + m*a**2 - 9*a - 11*a**2.
-3*(a - 1)*(a + 4)
Solve 72 - 3/2*v**5 + 180*v**2 + 18*v**4 - 186*v - 165/2*v**3 = 0.
1, 2, 3, 4
Let i be (-38)/209 + (-24)/(-11). Factor -i*y - 1/4*y**2 - 4.
-(y + 4)**2/4
Let z = -41 - -58. Let s = z - 15. Factor 2/11*r**s - 8/11 + 0*r.
2*(r - 2)*(r + 2)/11
Let d(u) = 2*u + 34. Let z be d(-16). Factor -1 - 2*q**2 + 3*q**z + 0.
(q - 1)*(q + 1)
Suppose -403*i - 3*v + 11 = -404*i, -v = -5. Suppose 2 + 5/2*j**2 - i*j - 1/2*j**3 = 0. Calculate j.
1, 2
Factor 3*i**3 - 73*i**2 + 352*i + 968*i - 50*i**2 - 1200.
3*(i - 20)**2*(i - 1)
Let u = -282 - -282. Let j(k) be the second derivative of u*k**2 - 6*k - 1/90*k**5 - 2/27*k**3 + 1/18*k**4 + 0. What is t in j(t) = 0?
0, 1, 2
Factor 1/4*m**3 + 6*m + 0 - 5/2*m**2.
m*(m - 6)*(m - 4)/4
Let u(j) = -14*j**3 - 6*j**2 - 40*j - 32. Let t(p) = 2*p**3 + p + 1. Let v(y) = 8*t(y) + u(y). Factor v(f).
2*(f - 6)*(f + 1)*(f + 2)
Let k(z) be the third derivative of -z**6/8 + 7*z**5/12 - 10*z**3/3 - 809*z**2. Solve k(i) = 0 for i.
-2/3, 1, 2
Let s = 1277/402 + -381/134. Let c = 15 + -44/3. Factor c*b**3 + 1/3*b**4 + 0*b - 1/3*b**5 - s*b**2 + 0.
-b**2*(b - 1)**2*(b + 1)/3
Let z(u) = 0*u + 3*u + u + 124 + 2*u. Let k be z(-20). Factor -1/4*h**k + 0*h**2 + 0 + 1/4*h**3 + 0*h.
-h**3*(h - 1)/4
Let g(f) be the first derivative of f**3 + 39*f**2/2 - 90*f - 72. Suppose g(x) = 0. What is x?
-15, 2
Factor -3*j - 6/5 + 9/5*j**3 + 12/5*j**2.
3*(j - 1)*(j + 2)*(3*j + 1)/5
Let j = 524 - 519. Let n(z) be the third derivative of 0 - 1/12*z**4 + 9*z**2 - 1/60*z**j + 0*z**3 + 0*z. Factor n(w).
-w*(w + 2)
Let u(v) = -11*v - 15. Let p be u(-25). Suppose -175*y**2 + p*y**3 + 3*y**2 + 16 - 176*y**3 = 0. Calculate y.
-2/7, 1/3, 2
Let r(c) = -3*c + 2*c + 1 + 2*c + 0*c. Let p be r(1). Factor 87*a**p + 84*a**2 - 168*a**2.
3*a**2
Find y such that 36/17*y**3 + 2/17*y - 14/17*y**2 + 16/17*y**5 + 0 - 40/17*y**4 = 0.
0, 1/2, 1
Let k(c) be the third derivative of c**7/5 - 121*c**6/240 + 37*c**5/120 + c**4/48 - c**3/12 + 181*c**2. Solve k(f) = 0.
-1/7, 1/4, 1/3, 1
Determine t, given that 5408/5 - 208/5*t + 2/5*t**2 = 0.
52
Let o(z) be the first derivative of z**4/21 + 2*z**3/7 + 4*z**2/7 + 11*z + 5. Let n(a) be the first derivative of o(a). Solve n(k) = 0 for k.
-2, -1
Let q(m) be the third derivative of -30*m**2 + 5/84*m**8 + 0 + 152/315*m**7 + 8/15*m**6 - 5/6*m**4 + 0*m + 4*m**3 - 142/45*m**5. What is d in q(d) = 0?
-3, -2/5, 1/3, 1
Let b(f) = 27*f**2 + 161*f - 2. Let t be b(-6). Let p(d) be the first derivative of t + 4/7*d + 2/21*d**3 - 3/7*d**2. Factor p(w).
2*(w - 2)*(w - 1)/7
Let 21 - 21/4*m**4 + 75*m - 75*m**3 - 63/4*m**2 = 0. Calculate m.
-14, -1, -2/7, 1
Let i be (-12)/(-450)*400/80. Factor 0 + i*y**3 - 16/15*y + 4/15*y**2.
2*y*(y - 2)*(y + 4)/15
Let w(u) be the third derivative of u**7/210 - 7*u**6/120 + u**5/5 + u**2 + 8. Factor w(m).
m**2*(m - 4)*(m - 3)
Factor 1/6*z**2 + 5766 + 62*z.
(z + 186)**2/6
Let l = -19427/390 + 648/13. Let q(c) be the second derivative of 1/150*c**6 - l*c**4 - 2/5*c**3 + 3/100*c**5 - 4/5*c**2 + 0 - 3*c. What is b in q(b) = 0?
-2, -1, 2
Let k be 46/(0 + 4/4). Let s = -41 + k. Solve 4/9*t**2 + 0 + 2/9*t + 0*t**3 - 4/9*t**4 - 2/9*t**s = 0.
-1, 0, 1
Let r = 5941 + -5939. Solve 1 + 0*j - 1/4*j**r = 0.
-2, 2
Let x be 5/225*-5*(-3 + -5). Factor -2/3*n - 2/9*n**2 + x.
-2*(n - 1)*(n + 4)/9
Find r such that 7/4*r**3 + 2*r + 0 + 1/4*r**4 + 7/2*r**2 = 0.
-4, -2, -1, 0
Suppose -19*z - 780 = -7*z. Let y = 139/2 + z. Find h such that -3/2*h**2 - y*h - 3 = 0.
-2, -1
Let p(d) = d**5 - d**4 - d**2 - d. Let h(w) = -5*w**5 + 2*w**4 + 5*w**3 + 4*w**2 + 6*w. Suppose 2*v - 7 = 3. Let n(m) = v*h(m) + 30*p(m). Solve n(a) = 0 for a.
0, 1, 2
Let o = 1 - -7. Let i be 6 - (-7)/(28/o). Find y, given that 0*y**2 - 3*y**3 - 3*y - 12*y**2 + 7*y + i*y + 3*y**4 = 0.
-2, 0, 1, 2
Let b(g) be the second derivative of -g**4/15 + 46*g**3/15 - 84*g**2/5 + g - 12. Determine v, given that b(v) = 0.
2, 21
Let x be ((-6471)/(-1620))/(-1) - -4. Let g(v) be the third derivative of x*v**6 - 1/36*v**4 - 1/30*v**5 + 2*v**2 + 0*v + 1/3*v**3 + 0. Factor g(z).
2*(z - 3)*(z - 1)*(z + 1)/3
Find l such that 12*l + 8*l**2 - 1/3*l**4 + 0 + 1/3*l**3 = 0.
-3, -2, 0, 6
Let s = 131 + -128. Let i(p) be the first derivative of -1/3*p**s - 1/6*p**6 + 1/2*p**4 - 6 + 1/10*p**5 + 1/2*p - 1/2*p**2. Suppose i(c) = 0. Calculate c.
-1, 1/2, 1
Factor -2/19*t**2 - 584/19*t - 42632/19.
-2*(t + 146)**2/19
Suppose 3*x + 4 = -4*j, 2*j - 35 = 5*x - 11. Let m(v) be the first derivative of -j*v**3 - 3/2*v**2 + 2 + 3/4*v**4 + 6*v. Suppose m(h) = 0. Calculate h.
-1, 1, 2
Let o(x) be the second derivative of -31*x**4/6 + x**3/3 - x - 83. Suppose o(q) = 0. What is q?
0, 1/31
Let u(i) be the first derivative of -3*i**4/20 - 7*i**3/5 - 24*i**2/5 - 36*i/5 + 140. Solve u(t) = 0 for t.
-3, -2
Let p(l) = 3*l**2 + 2*l + 2. Let