60)). Solve -28/13*x + 2/13*x**2 + r = 0 for x.
7
Let o be ((-1)/2)/((-25)/(-20)). Let z = o - -16/15. Solve 0 + 2/3*x**2 + z*x = 0 for x.
-1, 0
Solve -116/7*o**2 + 0 + 20/7*o + 144/7*o**3 = 0 for o.
0, 1/4, 5/9
Let o(w) be the second derivative of -w**6/420 + w**4/84 - 13*w**2/2 - 19*w. Let d(m) be the first derivative of o(m). Factor d(u).
-2*u*(u - 1)*(u + 1)/7
Factor 33*s - 2*s**2 - 200 + 68*s - 61*s.
-2*(s - 10)**2
Factor 199*k**3 - 2*k**4 + 216000*k - 1799298 + 41*k**3 - 10800*k**2 + 179298.
-2*(k - 30)**4
Let u(b) be the first derivative of -4*b**3/3 - 22*b**2 - 72*b + 216. Let u(i) = 0. Calculate i.
-9, -2
Let v(g) = g + 9. Let o be v(6). Let d be (10/o)/((-2)/(-9)). Factor -13*x**3 - x + 7*x**d + 7*x**3.
x*(x - 1)*(x + 1)
Let k(s) = -s**3 - 3*s**2 - 11. Let u be k(-4). Let b(c) = -2*c**3 - 5*c**2 + 5*c + 9. Let l be b(-3). Factor -8/5 - 14*r**2 + u*r**l + 44/5*r.
(r - 2)*(5*r - 2)**2/5
Let r(i) = -i**2 + 4*i + 4. Let t be r(4). Suppose 3*v - 19 = -t. Factor 3*w**3 - 5*w**v - 13*w**2 + 8*w**2 - 15*w**4 - 18*w**3.
-5*w**2*(w + 1)**3
Solve -1/2*o**2 - 7*o - 24 = 0 for o.
-8, -6
Let k(l) be the first derivative of -l**7/98 - l**6/70 + 3*l**5/70 + 12*l + 24. Let d(r) be the first derivative of k(r). Suppose d(o) = 0. What is o?
-2, 0, 1
Let m be (-1)/(0 - (-2)/(-12) - 58/174). Factor -9/8*p - 1/4 - 1/2*p**m.
-(p + 2)*(4*p + 1)/8
Let c(n) be the second derivative of -3/13*n**4 + 48*n - 1/130*n**5 - 216/13*n**2 - 36/13*n**3 + 0. Let c(l) = 0. What is l?
-6
Let u be ((-15)/5 - -10) + -5. Let r be ((-6)/(-18))/(2/12). Factor -11*x**r - u*x**2 + 172*x**4 - 2*x - 186*x**4 - 25*x**3.
-x*(x + 1)*(2*x + 1)*(7*x + 2)
Let i = 41 - 27. Suppose 0*o = 2*o - 3*g + 6, -2*o = 2*g - i. Factor 0*c**2 + 3*c**3 - 7*c**2 + o*c**2 - c**3.
2*c**2*(c - 2)
Factor 0 + 90/7*c**4 + 2/7*c**5 + 6750/7*c**2 + 0*c + 1350/7*c**3.
2*c**2*(c + 15)**3/7
Let l be (-344)/120*1 + 3. Let p(r) be the second derivative of -1/10*r**4 + 1/25*r**5 - 6*r - 1/10*r**2 - 1/150*r**6 + l*r**3 + 0. Solve p(i) = 0 for i.
1
Let u = 19 + -15. Factor 0*l**5 + 3*l - u*l**5 - 20*l**2 + 4*l**4 + 12*l**3 + 0*l**3 + 5*l.
-4*l*(l - 1)**3*(l + 2)
Let p(u) be the first derivative of 8/9*u - 1/18*u**4 - 9 - 2/27*u**3 + 4/9*u**2. Factor p(j).
-2*(j - 2)*(j + 1)*(j + 2)/9
Let n(z) = z**2 + 3*z + 2. Let t(u) = -6*u**2 - 18*u - 12. Suppose i + 138 = 4*d, i = -i - 4. Let y(w) = d*n(w) + 6*t(w). Factor y(f).
-2*(f + 1)*(f + 2)
Let l = 15401 + -169379/11. Factor -2/11*h**5 - l*h + 0 - 16/11*h**4 - 48/11*h**3 - 64/11*h**2.
-2*h*(h + 2)**4/11
Let i(a) be the second derivative of 9*a + 0 - 1/60*a**5 + 1/12*a**4 + 0*a**3 - 11/2*a**2. Let u(l) be the first derivative of i(l). Factor u(t).
-t*(t - 2)
Determine y so that -2/9*y**3 + 50/9*y + 16/3*y**2 + 0 = 0.
-1, 0, 25
Let z(m) = -4*m**3 - m**2 + 4*m + 7. Let l(d) = 1 - 55*d**3 + 54*d**3 - d**2 + d**2. Let a(c) = 12*l(c) - 4*z(c). Factor a(g).
4*(g - 2)*(g + 1)*(g + 2)
Let g(r) be the second derivative of -r**4/12 + 4*r**3/3 - 7*r**2/2 + 136*r. Factor g(z).
-(z - 7)*(z - 1)
Let b = -56727/4 - -14190. Factor 4 + b*f**4 - 10*f**2 + 7/4*f**5 + 8*f**3 - 12*f.
(f - 1)*(f + 2)**3*(7*f - 2)/4
Suppose -360 - 145*j + 5*j**3 - 69*j**2 - 41*j**2 + 525*j = 0. What is j?
2, 18
Let h(g) = 3*g**3 + 11*g**2 - g - 13. Let s(p) = -4*p**3 - 12*p**2 + p + 15. Let q(w) = 3*h(w) + 2*s(w). Solve q(u) = 0.
-9, -1, 1
Let i be (34/(-4) + 0)*(-16 + 18). Let c(j) = -3*j**3 - 5*j + 17. Let k(f) = -f**3 - 2*f + 6. Let a(l) = i*k(l) + 6*c(l). Suppose a(x) = 0. What is x?
-2, 0, 2
Let l(a) be the first derivative of a**6/600 - a**5/40 + a**4/10 + a**3 - 3*a**2/2 - 15. Let o(b) be the third derivative of l(b). What is n in o(n) = 0?
1, 4
Let l(v) be the first derivative of -2*v**6/21 - 8*v**5/35 + 12*v**4/7 - 8*v**3/3 + 10*v**2/7 - 109. Suppose l(q) = 0. Calculate q.
-5, 0, 1
Let m(p) be the first derivative of p**4 + 8*p**3 + 18*p**2 + 16*p - 52. Factor m(f).
4*(f + 1)**2*(f + 4)
Let c(o) be the second derivative of -o**7/3780 - o**6/180 - 3*o**4/2 + 21*o. Let h(w) be the third derivative of c(w). Factor h(i).
-2*i*(i + 6)/3
Suppose 0*v - v - 5*o - 24 = 0, -v - 19 = 4*o. Let d(k) = 7*k - 5. Let z be d(v). Let 0*f**z + 2/7*f**3 + 0 + 0*f = 0. Calculate f.
0
Let y be ((-48)/(-56))/(12/21). Let j(x) be the first derivative of y*x - 1/6*x**3 - 1/2*x**2 + 4. Let j(g) = 0. Calculate g.
-3, 1
Factor 95/4*z - 25/2 - 5/4*z**3 - 10*z**2.
-5*(z - 1)**2*(z + 10)/4
Let y(p) be the second derivative of p**4/84 + 13*p**3/21 + 24*p**2/7 - 43*p. Determine q so that y(q) = 0.
-24, -2
Let h be 38/(-95) + (-52)/(-10). Let j = 149/30 - h. Find n such that -1/6*n**3 + 1/6*n + 1/6 - j*n**2 = 0.
-1, 1
Let y(p) = p**3 - p**2 + p. Let d(w) = -3*w**4 - 9*w**3 - 30*w**2 - 6*w. Let v(h) = d(h) - 6*y(h). Factor v(i).
-3*i*(i + 1)*(i + 2)**2
Let t be -934*5/30 + 4/2. Let a = 154 + t. Factor m**5 + 14/3*m**3 + a - 2*m**2 - 11/3*m**4 - 1/3*m.
(m - 1)**4*(3*m + 1)/3
Let y = 14997/7 - 2139. Determine z so that -4/7*z**3 - 8/7 - 18/7*z**2 - y*z = 0.
-2, -1/2
Let r be (22 - 14) + 0 + -8. Suppose 1/5*k**3 + r*k + 3/5*k**4 + 0*k**2 + 0 = 0. What is k?
-1/3, 0
Let p(r) = 64*r**3 - 239*r**2 + 255*r - 72. Let g(u) = 97*u**3 - 359*u**2 + 384*u - 108. Let c(b) = -5*g(b) + 8*p(b). Factor c(v).
3*(v - 3)*(3*v - 2)**2
Solve 40/3 - 112/3*z**2 - 4*z**3 + 28*z = 0.
-10, -1/3, 1
Let j = 59559 + -6313197/106. Let u = -2/53 + j. Let -3/4 + u*h + 1/4*h**2 = 0. What is h?
-3, 1
Suppose 5*b + 6 = 1, 0 = w - 3*b - 13. Let f = w + -6. Factor -1/4 - 1/2*m**2 - 1/4*m**5 + 3/4*m**f + 3/4*m - 1/2*m**3.
-(m - 1)**4*(m + 1)/4
Let i(u) be the third derivative of u**7/1155 + 7*u**6/660 + u**5/55 + 83*u**2. Factor i(h).
2*h**2*(h + 1)*(h + 6)/11
Let y(q) be the second derivative of -q**3/2 - 7*q**2/2 - 3*q. Let r be y(-5). Factor -7*k**3 - 2*k**2 + k**2 - k + r*k**3 - k**4 + 2*k**4.
k*(k - 1)*(k + 1)**2
Let z(f) be the first derivative of f**4/10 + 188*f**3/15 - 191*f**2/5 + 192*f/5 - 491. Let z(v) = 0. Calculate v.
-96, 1
Factor -28*m - 48*m**3 - 47*m**3 - 16 - 41*m**3 + 134*m**3 - 14*m**2.
-2*(m + 1)*(m + 2)*(m + 4)
Let k(w) be the third derivative of 30*w**3 + 1/12*w**5 + 5/2*w**4 + 5*w**2 + 0 + 0*w. Factor k(h).
5*(h + 6)**2
Let d + 163 - 4*d**2 - 11*d + 10*d**3 + 2*d**2 - 161 = 0. Calculate d.
-1, 1/5, 1
Let g(a) be the second derivative of -5*a**4/12 - 35*a**3/6 - 30*a**2 + 4*a - 14. Determine x, given that g(x) = 0.
-4, -3
Let b be 4*412/210 - ((-952)/(-210))/34. Factor 0 + 12/7*t**2 + b*t**3 + 0*t.
6*t**2*(9*t + 2)/7
Let o(z) = -z**3. Let m(h) = h**3 + 15*h**2 - 75*h + 125. Let n(a) = m(a) + 2*o(a). Factor n(q).
-(q - 5)**3
Let p = 2163 - 2161. Let 0*h - 2/3*h**p - h**3 - 1/3*h**4 + 0 = 0. What is h?
-2, -1, 0
Let o(f) be the third derivative of f**7/735 - f**6/420 - 2*f**5/105 + f**4/21 + 156*f**2. Find s such that o(s) = 0.
-2, 0, 1, 2
Let b(l) be the second derivative of -10*l + 0 - 3/20*l**5 - 1/20*l**6 + 0*l**2 + 3/8*l**3 + 1/8*l**4 + 1/56*l**7. Let b(k) = 0. Calculate k.
-1, 0, 1, 3
Let r(g) = g + 4. Let d be r(-2). Suppose -5*l - 2*f = -16, 4*l - d*l + 4*f - 16 = 0. Find c such that 2*c**2 - l*c**2 + 2*c**4 + 3*c**2 - 5*c**4 = 0.
-1, 0, 1
Let t(i) be the first derivative of 16*i**3/3 + 47*i**2/2 - 15*i + 16. Let h(l) = -16*l**2 - 46*l + 14. Let r(k) = -3*h(k) - 2*t(k). Factor r(z).
4*(z + 3)*(4*z - 1)
Let n(w) be the third derivative of -6*w**2 + 0 + 1/21*w**3 - 1/42*w**4 + 0*w + 1/210*w**5. Factor n(h).
2*(h - 1)**2/7
Let v(z) be the first derivative of -2*z**3/45 - z**2/3 + 16*z/5 + 550. Suppose v(s) = 0. What is s?
-8, 3
Let h(m) = -8*m**2 - 89*m + 142. Let o(f) = -f**2 - 11*f + 18. Let y(b) = 6*h(b) - 51*o(b). Factor y(k).
3*(k - 2)*(k + 11)
What is r in -105*r + 21/2*r**4 - 111/2*r**2 + 27*r**3 - 3*r**5 - 36 = 0?
-2, -1, -1/2, 3, 4
Let o = 55 - 17. Factor 50*r**2 - o*r**3 - 2*r**5 + 14*r**4 - 13 + 7 + 14 - 32*r.
-2*(r - 2)**2*(r - 1)**3
Let w(l) be the third derivative of -10*l**2 - 4/105*l**7 - 1/60*l**6 + 0*l + 1/12*l**4 + 0*l**3 + 2/15*l**5 + 0. Determine k so that w(k) = 0.
-1, -1/4, 0, 1
Let f(r) be the first derivative of -r**6/3060 - 7*r**5/1020 + r**3/3 - 15. Let y(s) be the third derivative of f(s). Find m such that y(m) = 0.
-7, 0
Factor 5/2 + 15/4*a - 5/4*a**3 + 0*a**2.
-5*(a - 2)*(a + 1)**2/4
Let m(x) be the second derivative o