at y(m) = 0.
-1, 2
Let o(y) be the third derivative of 2*y**7/525 - y**6/75 - y**5/25 + 2*y**4/15 + 8*y**3/15 - 32*y**2. Determine t, given that o(t) = 0.
-1, 2
Suppose -87*f = -97*f. Let w(j) be the second derivative of 0*j**3 - 1/20*j**6 + 0*j**5 + f - 7*j + 0*j**2 + 1/8*j**4. Suppose w(p) = 0. Calculate p.
-1, 0, 1
Let h(d) be the first derivative of 0*d - 3*d**2 + 7*d**3 - 6*d**4 + 9/5*d**5 - 1. Let h(v) = 0. What is v?
0, 2/3, 1
Let a(i) be the second derivative of i**4/60 - 2*i**3/5 + 16*i**2/5 + 683*i. Find d such that a(d) = 0.
4, 8
Let t(c) be the first derivative of 2*c**5/55 + 3*c**4/11 - 14*c**3/33 + 66. Factor t(p).
2*p**2*(p - 1)*(p + 7)/11
Let x(z) be the second derivative of 4/3*z**2 + 0 + 1/20*z**5 + 1/9*z**3 - 13/36*z**4 - 12*z. Factor x(q).
(q - 4)*(q - 1)*(3*q + 2)/3
Let v(l) be the first derivative of l**7/168 - l**6/30 + l**5/16 - l**4/24 + 6*l - 11. Let p(i) be the first derivative of v(i). Find m such that p(m) = 0.
0, 1, 2
Suppose -10*u + 4*i + 40 = -5*u, 20 = 4*i. Suppose 0 = -5*x + 5 + 5. Solve m**2 + u*m + 4*m**x + 8 - m**2 = 0 for m.
-2, -1
Let a(n) = n**2 - 1. Let r(v) = -3*v**2 + 3. Let u(g) = g + 1. Let p(s) = 3*r(s) - 6*u(s). Let b(m) = -6*a(m) - p(m). Determine c, given that b(c) = 0.
-1
Suppose -70 = 4*w - 2. Let s(k) = k + 19. Let q be s(w). Factor 0 - 3*f + 3/2*f**q.
3*f*(f - 2)/2
Let q(x) be the first derivative of 2*x**6/3 - 44*x**5/5 - 2*x**4 + 88*x**3/3 + 2*x**2 - 44*x + 861. Find j such that q(j) = 0.
-1, 1, 11
Find v, given that 108*v**2 + 4*v**5 - 37*v**3 - v**5 + 15*v**4 - 41*v**3 - 18*v**3 = 0.
-9, 0, 2
Let l(k) = -k**2 + 9*k + 24. Let r be l(11). Let q be 5/(-75)*-4 + r/5. Let 0 + 1/3*f**4 - q*f**3 + 1/3*f**2 + 0*f = 0. What is f?
0, 1
Suppose -3*b + 0 = -9. Factor -4*x**3 + 5*x**4 - 20*x**2 - 11*x + 18*x - x**b + 13*x.
5*x*(x - 2)*(x - 1)*(x + 2)
Let c(v) be the second derivative of -v**6/70 + 51*v**5/28 + 738*v. Suppose c(f) = 0. Calculate f.
0, 85
Suppose -198*p - 12 = -201*p. Suppose -5*a + 0*a + h + 10 = 0, 0 = 5*a + p*h + 15. Determine j so that -1/3*j**3 - 1/3*j**2 - a + 5/3*j = 0.
-3, 1
Let g(s) be the third derivative of 2*s**5/15 - s**4/8 - 5*s**3/6 + 5*s**2. Let p be g(-2). Factor 4*i**2 + i - p*i + 21 + 43.
4*(i - 4)**2
Suppose 377 - 41 = 3*b. Let o be b/32 + (-6)/4. Factor -6*v**2 + 0*v**2 + 30*v**3 + 40*v**4 + 11*v**o.
5*v**2*(2*v + 1)*(4*v + 1)
Factor -120*f + 59 + 10 - 5*f**2 + f**2 + 55.
-4*(f - 1)*(f + 31)
Let r(q) be the second derivative of q**6/10 - 3*q**5/10 - 3*q**4 + 4*q**3 + 48*q**2 - 4*q - 85. Factor r(f).
3*(f - 4)*(f - 2)*(f + 2)**2
Suppose 3 = 2*l + 2*r - 1, -4*l = -r + 2. Factor 40*x - x**2 - 3*x**2 + l*x**2 - 100.
-4*(x - 5)**2
Let h = 0 + 1. Suppose 4*v - 7 = h. Suppose -21*z**3 - 4*z + 7*z + 6*z - 6*z**v + 6*z**4 + 12*z**3 = 0. What is z?
-1, 0, 1, 3/2
Let 34/9*c - 4/3 + 8/9*c**3 - 10/3*c**2 = 0. What is c?
3/4, 1, 2
Let u(z) be the first derivative of z**6/33 + 4*z**5/55 - z**4/11 - 8*z**3/33 + z**2/11 + 4*z/11 - 151. Find n, given that u(n) = 0.
-2, -1, 1
Suppose 2*f + 4*g = -0*f - 4, f - 2*g = 6. Factor 0 - 4/3*t**f - 2/3*t**3 - 2/3*t.
-2*t*(t + 1)**2/3
Let b(u) = 11*u**3 - 29*u**2 - 46*u + 68. Let o(n) = 9*n**3 - 30*n**2 - 45*n + 69. Let t(j) = -3*b(j) + 4*o(j). Let t(i) = 0. Calculate i.
-2, 1, 12
Let v(t) be the first derivative of -5/3*t - 11 + 5/3*t**2 - 5/9*t**3. Solve v(g) = 0 for g.
1
Let y(r) be the first derivative of -2*r**3/3 + 15*r**2 - 72*r - 139. Suppose y(j) = 0. What is j?
3, 12
Let d(h) be the third derivative of h**8/336 - h**7/30 - 3*h**6/40 + 7*h**5/60 + h**4/3 + 73*h**2. Factor d(f).
f*(f - 8)*(f - 1)*(f + 1)**2
Let k(s) be the first derivative of 3/2*s**2 - 5 + 1/3*s**3 + 0*s. Let k(h) = 0. What is h?
-3, 0
Suppose 0 = -2*i - i - 4*j + 31, 4*i - 43 = -5*j. Let a = 12 - 12. Suppose i*q - 17*q + a*q**4 - q**2 + q**4 = 0. Calculate q.
-1, 0, 1
Let v(p) be the second derivative of 5*p**6/42 + 3*p**5/7 + p**4/12 - 4*p**3/7 + 2*p**2/7 - 35*p. Let v(d) = 0. Calculate d.
-2, -1, 1/5, 2/5
Let p(q) be the third derivative of 5*q**8/336 - 5*q**7/42 - 3*q**6/8 + 17*q**5/12 + 5*q**4/3 - 10*q**3 + 2*q**2 - 8. Determine w so that p(w) = 0.
-2, -1, 1, 6
Let n(a) be the second derivative of a**5/110 + 2*a**4/33 + 5*a**3/33 + 2*a**2/11 + 49*a + 1. Factor n(c).
2*(c + 1)**2*(c + 2)/11
Determine g so that -1873 + 0*g**2 + 2385 + g**2 + 64*g + g**2 = 0.
-16
Let q(v) = 39*v + 42. Let b be q(-1). Factor 35/3*w**b - 4/3*w + 17/3*w**2 + 5/3*w**5 + 23/3*w**4 - 4/3.
(w + 1)**3*(w + 2)*(5*w - 2)/3
Let i(d) = 10*d**2 - 10*d - 20. Let b(s) = s**2 - 9*s - 5. Let w be b(9). Let q(z) = -z**2 + 1. Let f(g) = w*q(g) - i(g). Solve f(k) = 0.
-1, 3
Solve 220*z**2 + 1500 + 77*z**3 + 1400*z - 21*z**3 + 16*z**3 + 260*z**2 + 4*z**4 = 0 for z.
-5, -3
Let d be (6/9)/(((-16)/78)/(-4)). Suppose 6*l**5 + 75*l**4 + 45*l**3 + 25*l - 60*l**2 - d*l - 48*l**5 = 0. Calculate l.
-1, 0, 2/7, 1/2, 2
Suppose 0 = 32*d - 267*d - 89*d. Let 6/13*w - 2/13*w**2 + d = 0. What is w?
0, 3
Let i(o) be the first derivative of 7*o**4/10 - 10*o**3 + 104*o**2/5 + 72*o/5 - 144. Factor i(n).
2*(n - 9)*(n - 2)*(7*n + 2)/5
Let v be (1/10*2)/(1233/8220). Let -4/3 - 1/3*l**2 - v*l = 0. What is l?
-2
Let l be ((-1)/1)/((-330)/20 + 16). Let g(v) be the second derivative of 0 + 1/100*v**5 - 1/60*v**4 + 1/10*v**l - 1/30*v**3 + 8*v. Determine t so that g(t) = 0.
-1, 1
Suppose 5*g = 4*m - 26 - 15, 11 = 4*m + g. Solve -2*v**2 + 10 + 3 + m*v**2 + 3 - 12*v = 0.
2, 4
Let n be 0/((-11)/(242/22)). Let n - 2/5*x**3 + 1/5*x**5 - 4/5*x**4 + 12/5*x**2 + 9/5*x = 0. What is x?
-1, 0, 3
Suppose -32*n**2 + 35*n**3 + 34*n**3 + 37*n**3 + 4*n**4 - 98*n**3 = 0. Calculate n.
-4, 0, 2
Suppose -15 = 5*z - 5*m, -30 + 3 = -z - 5*m. Factor 507 - z*o**2 + 2*o**4 - 507 - 2*o + 2*o**3.
2*o*(o - 1)*(o + 1)**2
Let j(w) be the third derivative of w**6/900 + 49*w**5/25 + 7203*w**4/5 + 2823576*w**3/5 + 169*w**2. Factor j(k).
2*(k + 294)**3/15
Let a(o) = o**3 - 6*o**2 - 6*o - 7. Suppose 3*d = 6*j - 9*j + 18, -2*j + 11 = 3*d. Let z be a(j). Factor -5/3*f**5 - 5/3*f**3 + 0 + 0*f + z*f**2 - 10/3*f**4.
-5*f**3*(f + 1)**2/3
Suppose -4*n - 232 = -0*n + 4*k, 2 = -k. Let w = n + 113/2. Solve w*c**2 - 1/2*c + 1/2*c**3 - 1/2*c**4 + 0 = 0.
-1, 0, 1
Let v(o) be the first derivative of -1/15*o**4 + 5 + 4/15*o**3 - 2/5*o**2 + 8*o. Let l(q) be the first derivative of v(q). Factor l(k).
-4*(k - 1)**2/5
Let k(b) be the third derivative of b**6/210 - 2*b**5/35 + 3*b**4/14 - 8*b**3/21 - 80*b**2. Factor k(v).
4*(v - 4)*(v - 1)**2/7
Suppose 3*y - 175 - 29 = 0. Let n be y/4 + -2*1. Determine m so that 3*m**2 - 26*m**3 - 25 + 25 + 2*m**3 + 6*m + n*m**4 = 0.
-2/5, 0, 1
Let y(t) be the first derivative of 4*t**2 + 0*t + 2*t**3 + 1/4*t**4 - 21. What is g in y(g) = 0?
-4, -2, 0
Let i(u) be the third derivative of -u**8/112 + u**6/10 - u**5/10 - 3*u**4/8 + u**3 - 37*u**2. Suppose i(l) = 0. What is l?
-2, -1, 1
Let w(o) be the first derivative of -2 - 1/2*o + 0*o**2 + 0*o**4 - 1/10*o**5 + 1/3*o**3. Suppose w(u) = 0. What is u?
-1, 1
Let y(m) be the first derivative of -m**8/2800 + 3*m**7/700 - 3*m**6/200 - 16*m**3/3 - 5. Let z(b) be the third derivative of y(b). Find h, given that z(h) = 0.
0, 3
Let z(a) be the second derivative of -3*a + 0*a**4 - 1/21*a**3 - 2*a**2 + 1/210*a**5 + 0. Let x(f) be the first derivative of z(f). Factor x(c).
2*(c - 1)*(c + 1)/7
Let t = -150/73 - -1269/511. Let b(h) be the first derivative of 4/7*h + 3/14*h**4 - t*h**2 - 4 - 2/35*h**5 - 2/21*h**3. Find x such that b(x) = 0.
-1, 1, 2
Let x(v) be the second derivative of 2*v**6/15 - 18*v**5/5 + 40*v**4 - 700*v**3/3 + 750*v**2 + 4*v - 1. Solve x(g) = 0 for g.
3, 5
Let a = 595621/1156 + -2061/4. Let p = 875/1156 + a. What is z in -p*z**2 - 9/4*z - 3/2 = 0?
-2, -1
Factor -455*l + 903*l + 3*l**2 - 451*l.
3*l*(l - 1)
Determine w so that 3*w + 0*w**3 + 1/2*w**4 + 0 - 7/2*w**2 = 0.
-3, 0, 1, 2
Let p(d) = -498*d - 994. Let g be p(-2). Factor -g*l**2 + 2/5*l + 4/5*l**3 + 4/5.
2*(l - 2)*(l - 1)*(2*l + 1)/5
Let h be (-78)/(-15) + -1*2/10. Determine o, given that 4*o**2 - 6*o**4 + 4*o**3 + 2*o**4 - 29*o**5 + 25*o**h = 0.
-1, 0, 1
Let r(q) be the first derivative of q**2 - 7 + 5/3*q**3 + 8*q + 1/3*q**6 + 5/3*q**4 + q**5 + 1/21*q**7. Let w(f) be the first derivative of r(f). Factor w(u).
2*(u + 1)**5
Let u(g) = -g