*z + 16/7 + v*z**2 = 0.
-4, -2
Factor 2/9*c**3 - 2/3*c + 0 + 4/9*c**2.
2*c*(c - 1)*(c + 3)/9
Suppose -3*r + 5*i + 0*i = -5, 6 = 3*i. Let 134*t**3 + 33*t**5 + 196*t - 12*t**2 + 808*t**3 + 1198*t**2 + 214*t**4 - 248*t**2 - 19*t**r = 0. Calculate t.
-7, -1, -2/7, 0
Let l = 917 - 609. Let z be l/30 + -5*(-6)/(-45). Suppose -16/5*u**3 - 64/5*u + z*u**2 + 2/5*u**4 + 32/5 = 0. What is u?
2
Let d(q) = -10*q**2 + 21*q + 11. Let h(x) be the first derivative of x**3/3 - x**2/2 - x - 53. Let l(w) = 2*d(w) + 22*h(w). What is g in l(g) = 0?
-10, 0
Let a(u) = -u**3 - 6*u**2 + 4*u - 9. Let v be a(-7). Suppose v*f = 19*f - 42. Factor 92 - 39 + f*b - 44 + b**2.
(b + 3)**2
Let s = 7406 + -7404. Let g(k) be the second derivative of -4*k - 26/9*k**3 + 23/9*k**4 - 1/5*k**5 - 2/5*k**6 + 0 + 4/3*k**s. Let g(c) = 0. What is c?
-2, 1/3, 1
Suppose 1080 = 132*p - 117*p. Factor -10*o**2 - 6*o**2 + 190*o**3 - 12*o - 186*o**3 + p.
4*(o - 3)**2*(o + 2)
Suppose 5*r - 315 + 135 = 0. Let u(c) = -16*c**3 - 8*c**2 - 30*c - 18. Let t(q) = -q**3 - 2*q - 1. Let s(a) = r*t(a) - 2*u(a). Let s(g) = 0. Calculate g.
0, 1, 3
Suppose -1 = -5*y + 9. Suppose 5*a - 48 = -y*i, 3*a - 28 = 2*i - 3*i. Factor a*g**2 + g + 17*g + 2*g**3 + 4*g**2.
2*g*(g + 3)**2
Let x(b) be the third derivative of -b**5/5 - 319*b**4/3 - 848*b**3/3 - 29*b**2 - 80*b. Suppose x(p) = 0. Calculate p.
-212, -2/3
Determine p, given that 230400 + 1/4*p**2 - 480*p = 0.
960
Let r(j) = j**3 + 28*j**2 - 2205*j. Let y be r(-63). Let -2/5*u + y - 27/5*u**2 = 0. Calculate u.
-2/27, 0
Factor -17*x**2 + 4*x**2 + 12*x + 60 + 3*x**2 + x**2.
-3*(x + 2)*(3*x - 10)
Let s be 1 + (-16)/12 - 20/(-6). Let 217*x**2 - 7*x**3 - 37*x**2 - 35*x - 18*x**s = 0. Calculate x.
0, 1/5, 7
Let h(y) be the first derivative of -3/8*y**4 - 3/8*y**2 + 1/24*y**6 + 2/3*y**3 - 143 + 0*y + 0*y**5. Factor h(i).
i*(i - 1)**3*(i + 3)/4
Let a(d) be the third derivative of -d**6/180 + 29*d**5/30 + 59*d**4/12 + 89*d**3/9 - 18*d**2 - 118. What is n in a(n) = 0?
-1, 89
Let w = -1336 - -4378. Determine c so that 90*c**2 - 156*c - 172*c**2 + w + 84*c**2 = 0.
39
Let n be (-2)/((-28)/97) + (-920)/(-1610). Let y(z) be the first derivative of -10 + n*z**2 - 5/3*z**3 - 10*z. Factor y(b).
-5*(b - 2)*(b - 1)
Let l = -21 - -24. Suppose 0 = -l*f + 332 + 424. Factor -12*s**2 + f*s**3 + 16*s - 98*s**4 - 66*s**2 - 27*s**2 - 15*s**2.
-2*s*(s - 2)*(7*s - 2)**2
Let a(v) be the first derivative of 0*v - 47/8*v**2 + 128 + 1/12*v**3. Factor a(f).
f*(f - 47)/4
Suppose 237 = 15*r + 57. Let k(q) be the first derivative of -4*q**3 + 21*q + r*q**2 - 2*q**3 - 43 + 5*q**3 + 2*q**3. Determine i so that k(i) = 0.
-7, -1
Let a(p) = p**4 - 2*p**2 - p - 2. Let m(z) = z**5 + 3*z**4 - 37*z**3 - z**2 + 38*z + 4. Let g(i) = 10*a(i) + 5*m(i). What is j in g(j) = 0?
-9, -1, 0, 1, 4
Let j(t) be the second derivative of t**5/90 + t**4/6 - 7*t**3/9 + 11*t**2/9 + 536*t - 2. Factor j(f).
2*(f - 1)**2*(f + 11)/9
Factor 4*v**2 + 170*v + 6*v + 472*v - 720 + 68.
4*(v - 1)*(v + 163)
Let q(c) be the second derivative of c**7/252 - c**6/12 - 17*c**5/60 - c**4/36 + 11*c**3/12 + 17*c**2/12 - 1292*c + 4. Factor q(f).
(f - 17)*(f - 1)*(f + 1)**3/6
Let v = -47 - -37. Let b be ((-5)/(-2) + 0)*(-12)/v. Let -2*a**3 - 7*a**3 - 3*a + 13*a**3 - 12*a**2 - 13*a**b = 0. What is a?
-1, -1/3, 0
Let h(q) be the third derivative of 2/21*q**7 + 0*q - 1/4*q**6 - 20 - q**2 + 1/3*q**5 - 5/336*q**8 + 0*q**3 - 5/24*q**4. Factor h(p).
-5*p*(p - 1)**4
Let b(t) be the first derivative of 62*t**2 + 126*t - 455. Let l be b(-1). Factor 1/2*n + 1/6*n**3 - 1/6 - 1/2*n**l.
(n - 1)**3/6
Suppose 5*c + 60 = 85. Suppose -10*u + 35 = -c. Suppose o**4 + 7*o**u - 3*o**5 - 3*o**4 + o**4 + 9*o**3 = 0. What is o?
-1, 0, 3
Let u be (9 - 24) + 8 + 11. Let g(m) be the second derivative of -1/9*m**3 + 0 + 1/120*m**5 + 0*m**u + 0*m**2 - m. Factor g(w).
w*(w - 2)*(w + 2)/6
Let f = 31587114/26173 + -6/3739. Find n such that -262/7*n**2 - f*n + 8712/7 - 2/7*n**3 = 0.
-66, 1
Let p(f) be the first derivative of f**6/240 - 9*f**5/40 + 81*f**4/16 + f**3 - 4*f**2 + 35. Let l(k) be the third derivative of p(k). Factor l(y).
3*(y - 9)**2/2
Let f(z) be the second derivative of 1 + 5/3*z**3 + 35*z + 75/2*z**2 - 3/2*z**5 - 95/12*z**4. What is s in f(s) = 0?
-3, -1, 5/6
Let h = -18199/70 - -260. Let u = h - -31/280. Factor -1/8*n**2 + 0 - u*n**3 + 1/8*n**4 + 1/8*n.
n*(n - 1)**2*(n + 1)/8
Let x = -758 - -740. Let q be (-21)/x*243/756. Factor -q*i**2 - 3/4*i + 0 + 3/8*i**3.
3*i*(i - 2)*(i + 1)/8
Let t(m) be the third derivative of 15*m**2 - 1/630*m**7 - 128/9*m**3 - 193/180*m**5 + 6*m + 0 + 20/3*m**4 - 1/12*m**6. Factor t(f).
-(f - 1)**2*(f + 16)**2/3
Factor 2/3*t - 2/3*t**3 + 48 - 48*t**2.
-2*(t - 1)*(t + 1)*(t + 72)/3
Let r(m) be the first derivative of -m**5/10 + 41*m**4/8 + 93*m**3/2 + 151*m**2/4 - 235*m + 3897. Find q such that r(q) = 0.
-5, -2, 1, 47
Suppose -25*g = -22*g - 9. Let a be 4/(-6) - (182/168 - 2). Determine q, given that 1/2*q**2 - 1/4*q**g + a*q - 1/2 = 0.
-1, 1, 2
Let u(o) = -o. Let t be (-553)/(-28) + (-2)/(-8). Let i(l) = 8*l**3 + l**2 - 7*l**3 - 293 + 293 - 4*l. Let h(y) = t*u(y) - 5*i(y). Factor h(j).
-5*j**2*(j + 1)
Let d = 5178 - 5171. Let p(l) be the second derivative of 1/9*l**4 - 1/45*l**6 + 1/15*l**5 - 1/3*l**2 + 0 - 1/9*l**3 + 4*l - 1/63*l**d. Factor p(h).
-2*(h - 1)**2*(h + 1)**3/3
Let f(l) be the second derivative of l**5/26 - 3*l**4/13 + 19*l**3/39 - 6*l**2/13 + 2*l + 302. Factor f(v).
2*(v - 2)*(v - 1)*(5*v - 3)/13
What is v in 294*v**3 - 4*v**5 + 1516*v**3 - 2022*v**2 - 460 - 200*v**4 - 1792*v - 1490*v**2 - 14*v**3 + 4172 = 0?
-58, -1, 1, 4
Let y(i) be the first derivative of -i**3/9 + 8*i**2/3 - 1052. Factor y(m).
-m*(m - 16)/3
Let y(o) be the third derivative of 0*o - 22*o**2 + 3/20*o**6 - 1/35*o**7 + 0*o**3 - 2/5*o**5 + 1/2*o**4 + 0 + 1/448*o**8. Factor y(t).
3*t*(t - 2)**4/4
Factor -1/3*p**4 + 0 - 13/3*p**2 - 10/3*p**3 + 8*p.
-p*(p - 1)*(p + 3)*(p + 8)/3
Suppose -2*g - 2 = -3*k - 11, -k - 3*g = 14. Let i be -14 + k + 13 + 8. Factor -8/7*o - 6/7 - 2/7*o**i.
-2*(o + 1)*(o + 3)/7
Let z(r) be the first derivative of -2*r**3/9 + 4036*r**2/3 - 8144648*r/3 - 7487. Factor z(u).
-2*(u - 2018)**2/3
Let j = 184727/877363 + -1/46177. Factor 6/19*y**3 - 2/19*y**5 - 10/19*y**2 + j*y + 2/19*y**4 + 0.
-2*y*(y - 1)**3*(y + 2)/19
Let l be ((-2964)/380)/((-143)/90). Solve -24/11*m**2 + l*m**3 - 30/11*m + 0 = 0 for m.
-5/9, 0, 1
Let j(n) = n**2 - 3*n + 7. Suppose 4*l - 17 = -2*k - 5, 3*k - 6 = -2*l. Let c be j(l). Factor 6*v**2 - 3*v - c*v**2 + v + 2*v**3 + 1.
(v - 1)*(v + 1)*(2*v - 1)
Let f be (-17)/(-12)*(-168)/80 + 3*1. Let q(m) be the third derivative of 6*m**4 + 0*m - 32*m**3 - 3/5*m**5 + 0 + f*m**6 + 16*m**2. What is o in q(o) = 0?
4
Let v(p) be the second derivative of 1/18*p**4 + 0 - 6*p**2 + 7/9*p**3 - 4*p. Factor v(l).
2*(l - 2)*(l + 9)/3
Find i, given that 400 + 4/3*i**2 + 608/3*i = 0.
-150, -2
Let n(y) be the first derivative of -y**5/15 + 841*y**4/6 - 707281*y**3/9 - 5765. Factor n(x).
-x**2*(x - 841)**2/3
Let x(g) be the first derivative of -g**3/7 - 576*g**2/7 - 110592*g/7 + 855. Factor x(y).
-3*(y + 192)**2/7
Solve 3*f**4 + 72 + 155*f**2 + 48*f**3 + 169*f + 17*f - 23*f**2 + 27*f**2 = 0 for f.
-12, -2, -1
Let x be (1278/(-54) + 24)*9. Let 0 + 8/17*j - 2/17*j**4 + 8/17*j**2 - 2/17*j**x = 0. Calculate j.
-2, -1, 0, 2
Let t(j) = -j**3 - 26*j**2 - 20*j - 518. Let g be t(-26). Let b(x) be the second derivative of 2/9*x**3 - 1/36*x**4 + 0*x**g + 0 - 17*x. Factor b(k).
-k*(k - 4)/3
Let z be 0 + 3/(-2) - (-66)/12. Solve -15*g - z*g**5 - 1382 - 10*g**2 + 20*g**3 - g**5 + 2784 - 1392 = 0 for g.
-2, -1, 1
Suppose -430 = -43*p + 387. Suppose -22 - 15*a**4 + 7*a**2 - 10*a**3 + 3*a**2 + 67 - 21 - p - 5*a**5 + 15*a = 0. What is a?
-1, 1
Let o(u) be the first derivative of 4*u**3/3 - 118*u**2 - 1280*u + 1122. Determine s so that o(s) = 0.
-5, 64
Determine l, given that 5*l**5 + 6*l**5 - 6*l**5 + 5*l**5 - 7*l**5 - 42*l**2 + 18*l**4 - 27*l**3 = 0.
-7, -1, 0, 2
Suppose -5*j = 4*s + 2, -139*j + 3*s = -161*j + 35. Factor 0 + 4/3*q**3 + 8/3*q**j + 4/3*q.
4*q*(q + 1)**2/3
Suppose -5*h + 3*n - 181 = 0, 17*h + 102 = 14*h + 4*n. Let k be (-72)/h + 6/57. Factor 2/9*v**k - 8/9*v + 2/3.
2*(v - 3)*(v - 1)/9
Let q(d) be the first derivative of -4/3*d**3 + 0*d - 1/14*d**4 +